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Academic Roadmap

Common Core Standards

A simple, accessible guide to what students are expected to learn at each grade level. We've translated the academic language into plain English.

Showing all standards
data-search="ccss.math.content.k.cc.a.1 count to 100 by ones and by tens. students should be able to count out loud from 1 to 100. they should also be able to count by tens (10, 20, 30...) up to 100.">
Math Grade K CCSS.MATH.CONTENT.K.CC.A.1

Counting & Cardinality

Official Standard

"Count to 100 by ones and by tens."

Plain English Explanation

Students should be able to count out loud from 1 to 100. They should also be able to count by tens (10, 20, 30...) up to 100.

data-search="ccss.math.content.k.oa.a.1 represent addition and subtraction with objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, expressions, or equations. show math using real things! use fingers, blocks, or drawings to show what happens when you add things together or take them away.">
Math Grade K CCSS.MATH.CONTENT.K.OA.A.1

Operations & Algebraic Thinking

Official Standard

"Represent addition and subtraction with objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, expressions, or equations."

Plain English Explanation

Show math using real things! Use fingers, blocks, or drawings to show what happens when you add things together or take them away.

data-search="ccss.ela-literacy.rl.5.2 determine a theme of a story, drama, or poem from details in the text, including how characters in a story or drama respond to challenges or how the speaker in a poem reflects upon a topic; summarize the text. read a story and figure out the "big idea" or lesson. look at how characters handle problems to understand the message. be able to retell the story in your own words.">
ELA Grade 5 CCSS.ELA-LITERACY.RL.5.2

Reading: Literature

Official Standard

"Determine a theme of a story, drama, or poem from details in the text, including how characters in a story or drama respond to challenges or how the speaker in a poem reflects upon a topic; summarize the text."

Plain English Explanation

Read a story and figure out the "big idea" or lesson. Look at how characters handle problems to understand the message. Be able to retell the story in your own words.

data-search="ccss.math.content.8.ee.a.1 know and apply the properties of integer exponents to generate equivalent numerical expressions. understand how powers (exponents) work. for example, know that 3² means 3 times 3, and be able to solve problems using these rules.">
Math Grade 8 CCSS.MATH.CONTENT.8.EE.A.1

Expressions & Equations

Official Standard

"Know and apply the properties of integer exponents to generate equivalent numerical expressions."

Plain English Explanation

Understand how powers (exponents) work. For example, know that 3² means 3 times 3, and be able to solve problems using these rules.

data-search="ccss.math.content.hsf.if.a.1 understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. learn that a function is like a machine: if you put one specific number in, you get exactly one specific answer out. it never gives two different answers for the same input.">
Math Grade HS CCSS.MATH.CONTENT.HSF.IF.A.1

Functions

Official Standard

"Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range."

Plain English Explanation

Learn that a function is like a machine: if you put one specific number in, you get exactly one specific answer out. It never gives two different answers for the same input.

data-search="ccss.ela-literacy.ri.9-10.1 cite strong and thorough textual evidence to support analysis of what the text says explicitly as well as inferences drawn from the text. when you make a claim about something you read, prove it! point to the exact sentences in the text that support your idea, both for things directly stated and things you figured out (inferred).">
ELA Grade HS CCSS.ELA-LITERACY.RI.9-10.1

Reading: Informational Text

Official Standard

"Cite strong and thorough textual evidence to support analysis of what the text says explicitly as well as inferences drawn from the text."

Plain English Explanation

When you make a claim about something you read, prove it! Point to the exact sentences in the text that support your idea, both for things directly stated and things you figured out (inferred).

data-search="ccss.math.content.k.cc.1 count to 100 by ones and by tens. explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.1

Counting and Cardinality

Official Standard

"Count to 100 by ones and by tens."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.2 count forward beginning from a given number within the known explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.2

Counting and Cardinality

Official Standard

"Count forward beginning from a given number within the known"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.3 write numbers from 0 to 20. represent a number of objects with a explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.3

Counting and Cardinality

Official Standard

"Write numbers from 0 to 20. Represent a number of objects with a"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.4 understand the relationship between numbers and quantities; connect explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.4

Counting and Cardinality

Official Standard

"Understand the relationship between numbers and quantities; connect"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.5 count to answer “how many?” questions about as many as 20 things explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.5

Counting and Cardinality

Official Standard

"Count to answer “how many?” questions about as many as 20 things"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.6 identify whether the number of objects in one group is greater than, explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.6

Counting and Cardinality

Official Standard

"Identify whether the number of objects in one group is greater than,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.1 represent addition and subtraction with objects, fingers, mental explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.1

Counting and Cardinality

Official Standard

"Represent addition and subtraction with objects, fingers, mental"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.2 solve addition and subtraction word problems, and add and subtract explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.2

Counting and Cardinality

Official Standard

"Solve addition and subtraction word problems, and add and subtract"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.3 decompose numbers less than or equal to 10 into pairs in more explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.3

Counting and Cardinality

Official Standard

"Decompose numbers less than or equal to 10 into pairs in more"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.4 for any number from 1 to 9, find the number that makes 10 when explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.4

Counting and Cardinality

Official Standard

"For any number from 1 to 9, find the number that makes 10 when"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.5 fluently add and subtract within 5. explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.5

Counting and Cardinality

Official Standard

"Fluently add and subtract within 5."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.1 compose and decompose numbers from 11 to 19 into ten ones and explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.1

Counting and Cardinality

Official Standard

"Compose and decompose numbers from 11 to 19 into ten ones and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.1 describe measurable attributes of objects, such as length or weight. explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.1

Counting and Cardinality

Official Standard

"Describe measurable attributes of objects, such as length or weight."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.2 directly compare two objects with a measurable attribute in common, explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.2

Counting and Cardinality

Official Standard

"Directly compare two objects with a measurable attribute in common,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.cc.3 classify objects into given categories; count the numbers of objects in explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.CC.3

Counting and Cardinality

Official Standard

"Classify objects into given categories; count the numbers of objects in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.1 describe objects in the environment using names of shapes, and explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.G.1

Geometry

Official Standard

"Describe objects in the environment using names of shapes, and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.2 correctly name shapes regardless of their orientations or overall size. explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.G.2

Geometry

Official Standard

"Correctly name shapes regardless of their orientations or overall size."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.3 identify shapes as two-dimensional (lying in a plane, “flat”) or three- explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.G.3

Geometry

Official Standard

"Identify shapes as two-dimensional (lying in a plane, “flat”) or three-"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.4 analyze and compare two- and three-dimensional shapes, in explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.G.4

Geometry

Official Standard

"Analyze and compare two- and three-dimensional shapes, in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.5 model shapes in the world by building shapes from components (e.g., explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.G.5

Geometry

Official Standard

"Model shapes in the world by building shapes from components (e.g.,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.6 compose simple shapes to form larger shapes. for example, “can you explanation available upon request.">
Math Grade K CCSS.MATH.CONTENT.K.G.6

Geometry

Official Standard

"Compose simple shapes to form larger shapes. For example, “Can you"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.20 by comparing a variety of solution strategies, children build their explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.20

Geometry

Official Standard

"By comparing a variety of solution strategies, children build their"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.1

Geometry

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.2

Geometry

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.3 construct viable arguments and critique explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.3

Geometry

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.4 model with mathematics. explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.4

Geometry

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.5

Geometry

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.6 attend to precision. explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.6

Geometry

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.8

Geometry

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.1 use addition and subtraction within 20 to solve word problems involving explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.1

Geometry

Official Standard

"Use addition and subtraction within 20 to solve word problems involving"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.2 solve word problems that call for addition of three whole numbers explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.2

Geometry

Official Standard

"Solve word problems that call for addition of three whole numbers"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.3 apply properties of operations as strategies to add and subtract. 3 examples: explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.3

Geometry

Official Standard

"Apply properties of operations as strategies to add and subtract. 3 Examples:"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.4 understand subtraction as an unknown-addend problem. for example, explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.4

Geometry

Official Standard

"Understand subtraction as an unknown-addend problem. For example,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.5 relate counting to addition and subtraction (e.g., by counting on 2 to explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.5

Geometry

Official Standard

"Relate counting to addition and subtraction (e.g., by counting on 2 to"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.6 add and subtract within 20, demonstrating fluency for addition and explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.6

Geometry

Official Standard

"Add and subtract within 20, demonstrating fluency for addition and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.8 determine the unknown whole number in an addition or subtraction explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.8

Geometry

Official Standard

"Determine the unknown whole number in an addition or subtraction"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.1 count to 120, starting at any number less than 120. in this range, read explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.1

Geometry

Official Standard

"Count to 120, starting at any number less than 120. In this range, read"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.2 understand that the two digits of a two-digit number represent amounts explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.2

Geometry

Official Standard

"Understand that the two digits of a two-digit number represent amounts"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.3 compare two two-digit numbers based on meanings of the tens and ones explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.3

Geometry

Official Standard

"Compare two two-digit numbers based on meanings of the tens and ones"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.4 add within 100, including adding a two-digit number and a one-digit explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.4

Geometry

Official Standard

"Add within 100, including adding a two-digit number and a one-digit"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.5 given a two-digit number, mentally find 10 more or 10 less than the explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.5

Geometry

Official Standard

"Given a two-digit number, mentally find 10 more or 10 less than the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.6 subtract multiples of 10 in the range 10-90 from multiples of 10 in the explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.6

Geometry

Official Standard

"Subtract multiples of 10 in the range 10-90 from multiples of 10 in the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.1 order three objects by length; compare the lengths of two objects explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.1

Geometry

Official Standard

"Order three objects by length; compare the lengths of two objects"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.2 express the length of an object as a whole number of length units, by explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.2

Geometry

Official Standard

"Express the length of an object as a whole number of length units, by"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.3 t ell and write time in hours and half-hours using analog and digital explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.3

Geometry

Official Standard

"T ell and write time in hours and half-hours using analog and digital"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.k.g.4 organize, represent, and interpret data with up to three categories; ask explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.K.G.4

Geometry

Official Standard

"Organize, represent, and interpret data with up to three categories; ask"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.1 distinguish between defining attributes (e.g., triangles are closed and explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.1.G.1

Geometry

Official Standard

"Distinguish between defining attributes (e.g., triangles are closed and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.2 compose two-dimensional shapes (rectangles, squares, trapezoids, explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.1.G.2

Geometry

Official Standard

"Compose two-dimensional shapes (rectangles, squares, trapezoids,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.3 partition circles and rectangles into two and four equal shares, describe explanation available upon request.">
Math Grade 1 CCSS.MATH.CONTENT.1.G.3

Geometry

Official Standard

"Partition circles and rectangles into two and four equal shares, describe"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.1

Geometry

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.2

Geometry

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.3 construct viable arguments and critique explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.3

Geometry

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.4 model with mathematics. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.4

Geometry

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.5

Geometry

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.6 attend to precision. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.6

Geometry

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.8

Geometry

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.1 use addition and subtraction within 100 to solve one- and two-step explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.1

Geometry

Official Standard

"Use addition and subtraction within 100 to solve one- and two-step"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.2 fluently add and subtract within 20 using mental strategies. 2 by end of explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.2

Geometry

Official Standard

"Fluently add and subtract within 20 using mental strategies. 2 By end of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.3 determine whether a group of objects (up to 20) has an odd or even explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.3

Geometry

Official Standard

"Determine whether a group of objects (up to 20) has an odd or even"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.4 use addition to find the total number of objects arranged in explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.4

Geometry

Official Standard

"Use addition to find the total number of objects arranged in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.1 understand that the three digits of a three-digit number represent explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.1

Geometry

Official Standard

"Understand that the three digits of a three-digit number represent"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.2 count within 1000; skip-count by 5s, 10s, and 100s. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.2

Geometry

Official Standard

"Count within 1000; skip-count by 5s, 10s, and 100s."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.3 read and write numbers to 1000 using base-ten numerals, number explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.3

Geometry

Official Standard

"Read and write numbers to 1000 using base-ten numerals, number"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.4 compare two three-digit numbers based on meanings of the hundreds, explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.4

Geometry

Official Standard

"Compare two three-digit numbers based on meanings of the hundreds,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.5 fluently add and subtract within 100 using strategies based on place explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.5

Geometry

Official Standard

"Fluently add and subtract within 100 using strategies based on place"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.6 add up to four two-digit numbers using strategies based on place explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.6

Geometry

Official Standard

"Add up to four two-digit numbers using strategies based on place"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.8 mentally add 10 or 100 to a given number 100–900, and mentally explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.8

Geometry

Official Standard

"Mentally add 10 or 100 to a given number 100–900, and mentally"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.9 explain why addition and subtraction strategies work, using place value explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.9

Geometry

Official Standard

"Explain why addition and subtraction strategies work, using place value"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.1 measure the length of an object by selecting and using appropriate explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.1

Geometry

Official Standard

"Measure the length of an object by selecting and using appropriate"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.2 measure the length of an object twice, using length units of explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.2

Geometry

Official Standard

"Measure the length of an object twice, using length units of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.3 estimate lengths using units of inches, feet, centimeters, and meters. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.3

Geometry

Official Standard

"Estimate lengths using units of inches, feet, centimeters, and meters."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.4 measure to determine how much longer one object is than another, explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.4

Geometry

Official Standard

"Measure to determine how much longer one object is than another,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.5 use addition and subtraction within 100 to solve word problems explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.5

Geometry

Official Standard

"Use addition and subtraction within 100 to solve word problems"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.6 represent whole numbers as lengths from 0 on a number line diagram explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.6

Geometry

Official Standard

"Represent whole numbers as lengths from 0 on a number line diagram"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.8 solve word problems involving dollar bills, quarters, dimes, nickels, and explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.8

Geometry

Official Standard

"Solve word problems involving dollar bills, quarters, dimes, nickels, and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.9 generate measurement data by measuring lengths of several objects explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.9

Geometry

Official Standard

"Generate measurement data by measuring lengths of several objects"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.1.g.10 draw a picture graph and a bar graph (with single-unit scale) to explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.1.G.10

Geometry

Official Standard

"Draw a picture graph and a bar graph (with single-unit scale) to"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.1 recognize and draw shapes having specified attributes, such as a given explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.1

Geometry

Official Standard

"Recognize and draw shapes having specified attributes, such as a given"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.2 partition a rectangle into rows and columns of same-size squares and explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.2

Geometry

Official Standard

"Partition a rectangle into rows and columns of same-size squares and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.3 partition circles and rectangles into two, three, or four equal shares, explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.3

Geometry

Official Standard

"Partition circles and rectangles into two, three, or four equal shares,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.1

Geometry

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.2

Geometry

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.3 construct viable arguments and critique explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.3

Geometry

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.4 model with mathematics. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.4

Geometry

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.5

Geometry

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.6 attend to precision. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.6

Geometry

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.8

Geometry

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.1

Geometry

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.2

Geometry

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.3 construct viable arguments and critique explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.3

Geometry

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.4 model with mathematics. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.4

Geometry

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.5

Geometry

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.6 attend to precision. explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.6

Geometry

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.8

Geometry

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.1 interpret products of whole numbers, e.g., interpret 5 × 7 as the total explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.1

Geometry

Official Standard

"Interpret products of whole numbers, e.g., interpret 5 × 7 as the total"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.2 interpret whole-number quotients of whole numbers, e.g., interpret explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.2

Geometry

Official Standard

"Interpret whole-number quotients of whole numbers, e.g., interpret"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.4 determine the unknown whole number in a multiplication or division explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.4

Geometry

Official Standard

"Determine the unknown whole number in a multiplication or division"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.5 apply properties of operations as strategies to multiply and explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.5

Geometry

Official Standard

"Apply properties of operations as strategies to multiply and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.8 solve two-step word problems using the four operations. represent explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.8

Geometry

Official Standard

"Solve two-step word problems using the four operations. Represent"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.9 identify arithmetic patterns (including patterns in the addition table or explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.9

Geometry

Official Standard

"Identify arithmetic patterns (including patterns in the addition table or"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.1 use place value understanding to round whole numbers to the nearest explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.1

Geometry

Official Standard

"Use place value understanding to round whole numbers to the nearest"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.2 fluently add and subtract within 1000 using strategies and algorithms explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.2

Geometry

Official Standard

"Fluently add and subtract within 1000 using strategies and algorithms"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.3 multiply one-digit whole numbers by multiples of 10 in the range explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.3

Geometry

Official Standard

"Multiply one-digit whole numbers by multiples of 10 in the range"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.1 understand a fraction 1/b as the quantity formed by 1 part when a explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.1

Geometry

Official Standard

"Understand a fraction 1/b as the quantity formed by 1 part when a"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.2 understand a fraction as a number on the number line; represent explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.2

Geometry

Official Standard

"Understand a fraction as a number on the number line; represent"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.2.g.3 explain equivalence of fractions in special cases, and compare explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.2.G.3

Geometry

Official Standard

"Explain equivalence of fractions in special cases, and compare"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.md.1 t ell and write time to the nearest minute and measure time intervals explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.3.MD.1

Measurement and Data

Official Standard

"T ell and write time to the nearest minute and measure time intervals"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.md.2 measure and estimate liquid volumes and masses of objects using explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.3.MD.2

Measurement and Data

Official Standard

"Measure and estimate liquid volumes and masses of objects using"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.md.3 draw a scaled picture graph and a scaled bar graph to represent a explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.3.MD.3

Measurement and Data

Official Standard

"Draw a scaled picture graph and a scaled bar graph to represent a"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.md.4 generate measurement data by measuring lengths using rulers marked explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.3.MD.4

Measurement and Data

Official Standard

"Generate measurement data by measuring lengths using rulers marked"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.md.5 recognize area as an attribute of plane figures and understand explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.3.MD.5

Measurement and Data

Official Standard

"Recognize area as an attribute of plane figures and understand"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.md.6 measure areas by counting unit squares (square cm, square m, square explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.3.MD.6

Measurement and Data

Official Standard

"Measure areas by counting unit squares (square cm, square m, square"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.md.8 solve real world and mathematical problems involving perimeters explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.3.MD.8

Measurement and Data

Official Standard

"Solve real world and mathematical problems involving perimeters"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.1 understand that shapes in different categories (e.g., rhombuses, explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.3.G.1

Geometry

Official Standard

"Understand that shapes in different categories (e.g., rhombuses,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.2 partition shapes into parts with equal areas. express the area of each explanation available upon request.">
Math Grade 2 CCSS.MATH.CONTENT.3.G.2

Geometry

Official Standard

"Partition shapes into parts with equal areas. Express the area of each"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.1

Geometry

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.2

Geometry

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.3 construct viable arguments and critique explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.3

Geometry

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.4 model with mathematics. explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.4

Geometry

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.5

Geometry

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.6 attend to precision. explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.6

Geometry

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.8

Geometry

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.1 interpret a multiplication equation as a comparison, e.g., interpret 35 explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.1

Geometry

Official Standard

"Interpret a multiplication equation as a comparison, e.g., interpret 35"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.2 multiply or divide to solve word problems involving multiplicative explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.2

Geometry

Official Standard

"Multiply or divide to solve word problems involving multiplicative"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.3 solve multistep word problems posed with whole numbers and having explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.3

Geometry

Official Standard

"Solve multistep word problems posed with whole numbers and having"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.4 find all factor pairs for a whole number in the range 1–100. recognize explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.4

Geometry

Official Standard

"Find all factor pairs for a whole number in the range 1–100. Recognize"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.5 generate a number or shape pattern that follows a given rule. identify explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.5

Geometry

Official Standard

"Generate a number or shape pattern that follows a given rule. Identify"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.1 recognize that in a multi-digit whole number, a digit in one place explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.1

Geometry

Official Standard

"Recognize that in a multi-digit whole number, a digit in one place"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.3 use place value understanding to round multi-digit whole numbers to explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.3

Geometry

Official Standard

"Use place value understanding to round multi-digit whole numbers to"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.4 fluently add and subtract multi-digit whole numbers using the explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.4

Geometry

Official Standard

"Fluently add and subtract multi-digit whole numbers using the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.5 multiply a whole number of up to four digits by a one-digit whole explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.5

Geometry

Official Standard

"Multiply a whole number of up to four digits by a one-digit whole"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.6 find whole-number quotients and remainders with up to four-digit explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.6

Geometry

Official Standard

"Find whole-number quotients and remainders with up to four-digit"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.1 explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.1

Geometry

Official Standard

"Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b)"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.2 compare two fractions with different numerators and different explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.2

Geometry

Official Standard

"Compare two fractions with different numerators and different"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.3 understand a fraction a/b with a > 1 as a sum of fractions 1/b. explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.3

Geometry

Official Standard

"Understand a fraction a/b with a > 1 as a sum of fractions 1/b."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.4 apply and extend previous understandings of multiplication to explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.4

Geometry

Official Standard

"Apply and extend previous understandings of multiplication to"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.5 express a fraction with denominator 10 as an equivalent fraction with explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.5

Geometry

Official Standard

"Express a fraction with denominator 10 as an equivalent fraction with"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.6 use decimal notation for fractions with denominators 10 or 100. for explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.6

Geometry

Official Standard

"Use decimal notation for fractions with denominators 10 or 100. For"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.1 know relative sizes of measurement units within one system of units explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.1

Geometry

Official Standard

"Know relative sizes of measurement units within one system of units"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.3 apply the area and perimeter formulas for rectangles in real world and explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.3

Geometry

Official Standard

"Apply the area and perimeter formulas for rectangles in real world and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.4 make a line plot to display a data set of measurements in fractions of explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.4

Geometry

Official Standard

"Make a line plot to display a data set of measurements in fractions of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.5 recognize angles as geometric shapes that are formed wherever two explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.5

Geometry

Official Standard

"Recognize angles as geometric shapes that are formed wherever two"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.3.g.6 measure angles in whole-number degrees using a protractor. sketch explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.3.G.6

Geometry

Official Standard

"Measure angles in whole-number degrees using a protractor. Sketch"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.1 draw points, lines, line segments, rays, angles (right, acute, obtuse), explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.4.G.1

Geometry

Official Standard

"Draw points, lines, line segments, rays, angles (right, acute, obtuse),"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.2 classify two-dimensional figures based on the presence or absence of explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.4.G.2

Geometry

Official Standard

"Classify two-dimensional figures based on the presence or absence of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.3 recognize a line of symmetry for a two-dimensional figure as a line explanation available upon request.">
Math Grade 4 CCSS.MATH.CONTENT.4.G.3

Geometry

Official Standard

"Recognize a line of symmetry for a two-dimensional figure as a line"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.1

Geometry

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.2

Geometry

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.3 construct viable arguments and critique explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.3

Geometry

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.4 model with mathematics. explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.4

Geometry

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.5

Geometry

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.6 attend to precision. explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.6

Geometry

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.8

Geometry

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.1 use parentheses, brackets, or braces in numerical expressions, and explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.1

Geometry

Official Standard

"Use parentheses, brackets, or braces in numerical expressions, and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.2 write simple expressions that record calculations with numbers, and explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.2

Geometry

Official Standard

"Write simple expressions that record calculations with numbers, and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.3 generate two numerical patterns using two given rules. identify explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.3

Geometry

Official Standard

"Generate two numerical patterns using two given rules. Identify"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.1 recognize that in a multi-digit number, a digit in one place represents explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.1

Geometry

Official Standard

"Recognize that in a multi-digit number, a digit in one place represents"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.2 explain patterns in the number of zeros of the product when explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.2

Geometry

Official Standard

"Explain patterns in the number of zeros of the product when"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.3 read, write, and compare decimals to thousandths. explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.3

Geometry

Official Standard

"Read, write, and compare decimals to thousandths."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.4 use place value understanding to round decimals to any place. explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.4

Geometry

Official Standard

"Use place value understanding to round decimals to any place."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.5 fluently multiply multi-digit whole numbers using the standard explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.5

Geometry

Official Standard

"Fluently multiply multi-digit whole numbers using the standard"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.6 find whole-number quotients of whole numbers with up to four-digit explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.6

Geometry

Official Standard

"Find whole-number quotients of whole numbers with up to four-digit"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.1 add and subtract fractions with unlike denominators (including mixed explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.1

Geometry

Official Standard

"Add and subtract fractions with unlike denominators (including mixed"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.2 solve word problems involving addition and subtraction of fractions explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.2

Geometry

Official Standard

"Solve word problems involving addition and subtraction of fractions"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.3 interpret a fraction as division of the numerator by the denominator explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.3

Geometry

Official Standard

"Interpret a fraction as division of the numerator by the denominator"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.5 interpret multiplication as scaling (resizing), by: explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.5

Geometry

Official Standard

"Interpret multiplication as scaling (resizing), by:"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.6 solve real world problems involving multiplication of fractions and explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.6

Geometry

Official Standard

"Solve real world problems involving multiplication of fractions and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.1 convert among different-sized standard measurement units within a explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.1

Geometry

Official Standard

"Convert among different-sized standard measurement units within a"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.2 make a line plot to display a data set of measurements in fractions of explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.2

Geometry

Official Standard

"Make a line plot to display a data set of measurements in fractions of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.3 recognize volume as an attribute of solid figures and understand explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.3

Geometry

Official Standard

"Recognize volume as an attribute of solid figures and understand"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.4 measure volumes by counting unit cubes, using cubic cm, cubic in, explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.4

Geometry

Official Standard

"Measure volumes by counting unit cubes, using cubic cm, cubic in,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.4.g.5 relate volume to the operations of multiplication and addition and explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.4.G.5

Geometry

Official Standard

"Relate volume to the operations of multiplication and addition and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.1 use a pair of perpendicular number lines, called axes, to define a explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.5.G.1

Geometry

Official Standard

"Use a pair of perpendicular number lines, called axes, to define a"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.2 represent real world and mathematical problems by graphing points explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.5.G.2

Geometry

Official Standard

"Represent real world and mathematical problems by graphing points"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.3 understand that attributes belonging to a category of two- explanation available upon request.">
Math Grade 5 CCSS.MATH.CONTENT.5.G.3

Geometry

Official Standard

"Understand that attributes belonging to a category of two-"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.1

Geometry

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.2

Geometry

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.3 construct viable arguments and critique explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.3

Geometry

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.4 model with mathematics. explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.4

Geometry

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.5

Geometry

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.6 attend to precision. explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.6

Geometry

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.8

Geometry

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.1 understand the concept of a ratio and use ratio language to describe explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.1

Geometry

Official Standard

"Understand the concept of a ratio and use ratio language to describe"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.2 understand the concept of a unit rate a/b associated with a ratio a:b explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.2

Geometry

Official Standard

"Understand the concept of a unit rate a/b associated with a ratio a:b"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.3 use ratio and rate reasoning to solve real-world and mathematical explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.3

Geometry

Official Standard

"Use ratio and rate reasoning to solve real-world and mathematical"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.1 interpret and compute quotients of fractions, and solve word explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.1

Geometry

Official Standard

"Interpret and compute quotients of fractions, and solve word"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.2 fluently divide multi-digit numbers using the standard algorithm. explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.2

Geometry

Official Standard

"Fluently divide multi-digit numbers using the standard algorithm."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.3 fluently add, subtract, multiply, and divide multi-digit decimals using explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.3

Geometry

Official Standard

"Fluently add, subtract, multiply, and divide multi-digit decimals using"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.4 find the greatest common factor of two whole numbers less than or explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.4

Geometry

Official Standard

"Find the greatest common factor of two whole numbers less than or"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.5 understand that positive and negative numbers are used together explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.5

Geometry

Official Standard

"Understand that positive and negative numbers are used together"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.6 understand a rational number as a point on the number line. extend explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.6

Geometry

Official Standard

"Understand a rational number as a point on the number line. Extend"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.8 solve real-world and mathematical problems by graphing points in all explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.8

Geometry

Official Standard

"Solve real-world and mathematical problems by graphing points in all"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.1 write and evaluate numerical expressions involving whole-number explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.1

Geometry

Official Standard

"Write and evaluate numerical expressions involving whole-number"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.2 write, read, and evaluate expressions in which letters stand for explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.2

Geometry

Official Standard

"Write, read, and evaluate expressions in which letters stand for"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.3 apply the properties of operations to generate equivalent expressions. explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.3

Geometry

Official Standard

"Apply the properties of operations to generate equivalent expressions."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.5 understand solving an equation or inequality as a process of explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.5

Geometry

Official Standard

"Understand solving an equation or inequality as a process of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.6 use variables to represent numbers and write expressions when explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.6

Geometry

Official Standard

"Use variables to represent numbers and write expressions when"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.8 write an inequality of the form x > c or x < c to represent a constraint explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.8

Geometry

Official Standard

"Write an inequality of the form x > c or x < c to represent a constraint"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.5.g.9 use variables to represent two quantities in a real-world problem that explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.5.G.9

Geometry

Official Standard

"Use variables to represent two quantities in a real-world problem that"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.g.1 find the area of right triangles, other triangles, special quadrilaterals, explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.6.G.1

Geometry

Official Standard

"Find the area of right triangles, other triangles, special quadrilaterals,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.g.2 find the volume of a right rectangular prism with fractional edge explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.6.G.2

Geometry

Official Standard

"Find the volume of a right rectangular prism with fractional edge"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.g.3 draw polygons in the coordinate plane given coordinates for the explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.6.G.3

Geometry

Official Standard

"Draw polygons in the coordinate plane given coordinates for the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.g.4 represent three-dimensional figures using nets made up of rectangles explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.6.G.4

Geometry

Official Standard

"Represent three-dimensional figures using nets made up of rectangles"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.1 recognize a statistical question as one that anticipates variability in explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.6.SP.1

Statistics and Probability

Official Standard

"Recognize a statistical question as one that anticipates variability in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.3 recognize that a measure of center for a numerical data set explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.6.SP.3

Statistics and Probability

Official Standard

"Recognize that a measure of center for a numerical data set"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.4 display numerical data in plots on a number line, including dot plots, explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.6.SP.4

Statistics and Probability

Official Standard

"Display numerical data in plots on a number line, including dot plots,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.5 summarize numerical data sets in relation to their context, such as by: explanation available upon request.">
Math Grade 6 CCSS.MATH.CONTENT.6.SP.5

Statistics and Probability

Official Standard

"Summarize numerical data sets in relation to their context, such as by:"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.1

Statistics and Probability

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.2

Statistics and Probability

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.3 construct viable arguments and critique explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.3

Statistics and Probability

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.4 model with mathematics. explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.4

Statistics and Probability

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.5

Statistics and Probability

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.6 attend to precision. explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.6

Statistics and Probability

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.8

Statistics and Probability

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.1 compute unit rates associated with ratios of fractions, including ratios explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.1

Statistics and Probability

Official Standard

"Compute unit rates associated with ratios of fractions, including ratios"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.2 recognize and represent proportional relationships between explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.2

Statistics and Probability

Official Standard

"Recognize and represent proportional relationships between"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.3 use proportional relationships to solve multistep ratio and percent explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.3

Statistics and Probability

Official Standard

"Use proportional relationships to solve multistep ratio and percent"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.1 apply and extend previous understandings of addition and subtraction explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.1

Statistics and Probability

Official Standard

"Apply and extend previous understandings of addition and subtraction"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.2 apply and extend previous understandings of multiplication and explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.2

Statistics and Probability

Official Standard

"Apply and extend previous understandings of multiplication and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.3 solve real-world and mathematical problems involving the four explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.3

Statistics and Probability

Official Standard

"Solve real-world and mathematical problems involving the four"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.1 apply properties of operations as strategies to add, subtract, factor, explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.1

Statistics and Probability

Official Standard

"Apply properties of operations as strategies to add, subtract, factor,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.2 understand that rewriting an expression in different forms in a explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.2

Statistics and Probability

Official Standard

"Understand that rewriting an expression in different forms in a"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.3 solve multi-step real-life and mathematical problems posed with explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.3

Statistics and Probability

Official Standard

"Solve multi-step real-life and mathematical problems posed with"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.1 solve problems involving scale drawings of geometric figures, explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.1

Statistics and Probability

Official Standard

"Solve problems involving scale drawings of geometric figures,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.2 draw (freehand, with ruler and protractor, and with technology) explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.2

Statistics and Probability

Official Standard

"Draw (freehand, with ruler and protractor, and with technology)"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.3 describe the two-dimensional figures that result from slicing three- explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.3

Statistics and Probability

Official Standard

"Describe the two-dimensional figures that result from slicing three-"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.4 know the formulas for the area and circumference of a circle and use explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.4

Statistics and Probability

Official Standard

"Know the formulas for the area and circumference of a circle and use"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.5 use facts about supplementary, complementary, vertical, and adjacent explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.5

Statistics and Probability

Official Standard

"Use facts about supplementary, complementary, vertical, and adjacent"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.6 solve real-world and mathematical problems involving area, volume explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.6

Statistics and Probability

Official Standard

"Solve real-world and mathematical problems involving area, volume"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.1 understand that statistics can be used to gain information about a explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.1

Statistics and Probability

Official Standard

"Understand that statistics can be used to gain information about a"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.2 use data from a random sample to draw inferences about a population explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.2

Statistics and Probability

Official Standard

"Use data from a random sample to draw inferences about a population"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.3 informally assess the degree of visual overlap of two numerical explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.3

Statistics and Probability

Official Standard

"Informally assess the degree of visual overlap of two numerical"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.5 understand that the probability of a chance event is a number explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.5

Statistics and Probability

Official Standard

"Understand that the probability of a chance event is a number"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.6 approximate the probability of a chance event by collecting data on explanation available upon request.">
Math Grade 7 CCSS.MATH.CONTENT.6.SP.6

Statistics and Probability

Official Standard

"Approximate the probability of a chance event by collecting data on"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.1

Statistics and Probability

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.2

Statistics and Probability

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.3 construct viable arguments and critique explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.3

Statistics and Probability

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.4 model with mathematics. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.4

Statistics and Probability

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.5

Statistics and Probability

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.6 attend to precision. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.6

Statistics and Probability

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.8

Statistics and Probability

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.1 know that numbers that are not rational are called irrational. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.1

Statistics and Probability

Official Standard

"Know that numbers that are not rational are called irrational."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.2 use rational approximations of irrational numbers to compare the size explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.2

Statistics and Probability

Official Standard

"Use rational approximations of irrational numbers to compare the size"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.1 know and apply the properties of integer exponents to generate explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.1

Statistics and Probability

Official Standard

"Know and apply the properties of integer exponents to generate"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.2 use square root and cube root symbols to represent solutions to explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.2

Statistics and Probability

Official Standard

"Use square root and cube root symbols to represent solutions to"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.3 use numbers expressed in the form of a single digit times an integer explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.3

Statistics and Probability

Official Standard

"Use numbers expressed in the form of a single digit times an integer"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.4 perform operations with numbers expressed in scientific notation, explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.4

Statistics and Probability

Official Standard

"Perform operations with numbers expressed in scientific notation,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.5 graph proportional relationships, interpreting the unit rate as the explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.5

Statistics and Probability

Official Standard

"Graph proportional relationships, interpreting the unit rate as the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.8 analyze and solve pairs of simultaneous linear equations. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.8

Statistics and Probability

Official Standard

"Analyze and solve pairs of simultaneous linear equations."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.1 understand that a function is a rule that assigns to each input exactly explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.1

Statistics and Probability

Official Standard

"Understand that a function is a rule that assigns to each input exactly"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.2 compare properties of two functions each represented in a different explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.2

Statistics and Probability

Official Standard

"Compare properties of two functions each represented in a different"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.4 construct a function to model a linear relationship between two explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.4

Statistics and Probability

Official Standard

"Construct a function to model a linear relationship between two"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.6.sp.5 describe qualitatively the functional relationship between two explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.6.SP.5

Statistics and Probability

Official Standard

"Describe qualitatively the functional relationship between two"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.g.1 verify experimentally the properties of rotations, reflections, and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.G.1

Geometry

Official Standard

"Verify experimentally the properties of rotations, reflections, and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.g.2 understand that a two-dimensional figure is congruent to another if explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.G.2

Geometry

Official Standard

"Understand that a two-dimensional figure is congruent to another if"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.g.3 describe the effect of dilations, translations, rotations, and reflections explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.G.3

Geometry

Official Standard

"Describe the effect of dilations, translations, rotations, and reflections"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.g.4 understand that a two-dimensional figure is similar to another if the explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.G.4

Geometry

Official Standard

"Understand that a two-dimensional figure is similar to another if the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.g.5 use informal arguments to establish facts about the angle sum and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.G.5

Geometry

Official Standard

"Use informal arguments to establish facts about the angle sum and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.g.6 explain a proof of the pythagorean theorem and its converse. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.G.6

Geometry

Official Standard

"Explain a proof of the Pythagorean Theorem and its converse."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.g.8 apply the pythagorean theorem to find the distance between two explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.G.8

Geometry

Official Standard

"Apply the Pythagorean Theorem to find the distance between two"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.g.9 know the formulas for the volumes of cones, cylinders, and spheres explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.G.9

Geometry

Official Standard

"Know the formulas for the volumes of cones, cylinders, and spheres"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 construct and interpret scatter plots for bivariate measurement explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Construct and interpret scatter plots for bivariate measurement"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 know that straight lines are widely used to model relationships explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Know that straight lines are widely used to model relationships"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 use the equation of a linear model to solve problems in the context explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Use the equation of a linear model to solve problems in the context"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 construct viable arguments and critique explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 model with mathematics. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 attend to precision. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 explain how the definition of the meaning of rational exponents explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Explain how the definition of the meaning of rational exponents"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 rewrite expressions involving radicals and rational exponents using explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Rewrite expressions involving radicals and rational exponents using"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 explain why the sum or product of two rational numbers is rational; explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Explain why the sum or product of two rational numbers is rational;"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 use units as a way to understand problems and to guide the solution explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Use units as a way to understand problems and to guide the solution"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 define appropriate quantities for the purpose of descriptive modeling. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Define appropriate quantities for the purpose of descriptive modeling."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 choose a level of accuracy appropriate to limitations on measurement explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Choose a level of accuracy appropriate to limitations on measurement"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 know there is a complex number i such that i 2 = –1, and every complex explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Know there is a complex number i such that i 2 = –1, and every complex"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 use the relation i 2 = –1 and the commutative, associative, and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Use the relation i 2 = –1 and the commutative, associative, and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 (+) find the conjugate of a complex number; use conjugates to find explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"(+) Find the conjugate of a complex number; use conjugates to find"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 (+) represent complex numbers on the complex plane in rectangular explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"(+) Represent complex numbers on the complex plane in rectangular"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 (+) represent addition, subtraction, multiplication, and conjugation of explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"(+) Represent addition, subtraction, multiplication, and conjugation of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 (+) calculate the distance between numbers in the complex plane as explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"(+) Calculate the distance between numbers in the complex plane as"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 (+) extend polynomial identities to the complex numbers. for example, explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"(+) Extend polynomial identities to the complex numbers. For example,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.9 (+) know the fundamental theorem of algebra; show that it is true for explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.9

Statistics and Probability

Official Standard

"(+) Know the Fundamental Theorem of Algebra; show that it is true for"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 (+) recognize vector quantities as having both magnitude and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"(+) Recognize vector quantities as having both magnitude and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 (+) find the components of a vector by subtracting the coordinates of explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"(+) Find the components of a vector by subtracting the coordinates of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 (+) solve problems involving velocity and other quantities that can be explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"(+) Solve problems involving velocity and other quantities that can be"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 (+) add and subtract vectors. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"(+) Add and subtract vectors."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 (+) multiply a vector by a scalar. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"(+) Multiply a vector by a scalar."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 (+) use matrices to represent and manipulate data, e.g., to represent explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"(+) Use matrices to represent and manipulate data, e.g., to represent"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 (+) add, subtract, and multiply matrices of appropriate dimensions. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"(+) Add, subtract, and multiply matrices of appropriate dimensions."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.9 (+) understand that, unlike multiplication of numbers, matrix explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.9

Statistics and Probability

Official Standard

"(+) Understand that, unlike multiplication of numbers, matrix"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.10 (+) understand that the zero and identity matrices play a role in matrix explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.10

Statistics and Probability

Official Standard

"(+) Understand that the zero and identity matrices play a role in matrix"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.11 (+) multiply a vector (regarded as a matrix with one column) by a explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.11

Statistics and Probability

Official Standard

"(+) Multiply a vector (regarded as a matrix with one column) by a"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.12 (+) work with 2 × 2 matrices as transformations of the plane, and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.12

Statistics and Probability

Official Standard

"(+) Work with 2 × 2 matrices as transformations of the plane, and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 construct viable arguments and critique explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 model with mathematics. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 attend to precision. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 interpret expressions that represent a quantity in terms of its context. ★ explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Interpret expressions that represent a quantity in terms of its context. ★"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 use the structure of an expression to identify ways to rewrite it. for explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Use the structure of an expression to identify ways to rewrite it. For"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 choose and produce an equivalent form of an expression to reveal and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Choose and produce an equivalent form of an expression to reveal and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 derive the formula for the sum of a finite geometric series (when the explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Derive the formula for the sum of a finite geometric series (when the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 understand that polynomials form a system analogous to the integers, explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Understand that polynomials form a system analogous to the integers,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 know and apply the remainder theorem: for a polynomial p ( x ) and a explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Know and apply the Remainder Theorem: For a polynomial p ( x ) and a"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 identify zeros of polynomials when suitable factorizations are explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Identify zeros of polynomials when suitable factorizations are"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 prove polynomial identities and use them to describe numerical explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Prove polynomial identities and use them to describe numerical"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 (+) know and apply the binomial theorem for the expansion of ( x explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"(+) Know and apply the Binomial Theorem for the expansion of ( x"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 rewrite simple rational expressions in different forms; write a ( x ) / b ( x ) explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Rewrite simple rational expressions in different forms; write a ( x ) / b ( x )"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 create equations and inequalities in one variable and use them to explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Create equations and inequalities in one variable and use them to"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 create equations in two or more variables to represent relationships explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Create equations in two or more variables to represent relationships"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 represent constraints by equations or inequalities, and by systems of explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Represent constraints by equations or inequalities, and by systems of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 explain each step in solving a simple equation as following from the explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Explain each step in solving a simple equation as following from the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 solve simple rational and radical equations in one variable, and give explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Solve simple rational and radical equations in one variable, and give"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 solve linear equations and inequalities in one variable, including explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Solve linear equations and inequalities in one variable, including"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 solve quadratic equations in one variable. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Solve quadratic equations in one variable."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 prove that, given a system of two equations in two variables, replacing explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Prove that, given a system of two equations in two variables, replacing"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 solve systems of linear equations exactly and approximately (e.g., with explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Solve systems of linear equations exactly and approximately (e.g., with"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 (+) represent a system of linear equations as a single matrix equation explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"(+) Represent a system of linear equations as a single matrix equation"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.9 (+) find the inverse of a matrix if it exists and use it to solve systems explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.9

Statistics and Probability

Official Standard

"(+) Find the inverse of a matrix if it exists and use it to solve systems"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.10 understand that the graph of an equation in two variables is the set of explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.10

Statistics and Probability

Official Standard

"Understand that the graph of an equation in two variables is the set of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.11 explain why the x-coordinates of the points where the graphs of explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.11

Statistics and Probability

Official Standard

"Explain why the x-coordinates of the points where the graphs of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.12 graph the solutions to a linear inequality in two variables as a half- explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.12

Statistics and Probability

Official Standard

"Graph the solutions to a linear inequality in two variables as a half-"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 construct viable arguments and critique explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 model with mathematics. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 attend to precision. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 understand that a function from one set (called the domain) to explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Understand that a function from one set (called the domain) to"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 use function notation, evaluate functions for inputs in their domains, explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Use function notation, evaluate functions for inputs in their domains,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 recognize that sequences are functions, sometimes defined explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Recognize that sequences are functions, sometimes defined"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 for a function that models a relationship between two quantities, explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"For a function that models a relationship between two quantities,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 relate the domain of a function to its graph and, where applicable, to explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Relate the domain of a function to its graph and, where applicable, to"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 calculate and interpret the average rate of change of a function explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Calculate and interpret the average rate of change of a function"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 write a function defined by an expression in different but equivalent explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"Write a function defined by an expression in different but equivalent"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.9 compare properties of two functions each represented in a different explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.9

Statistics and Probability

Official Standard

"Compare properties of two functions each represented in a different"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 write a function that describes a relationship between two quantities. ★ explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Write a function that describes a relationship between two quantities. ★"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 identify the effect on the graph of replacing f ( x ) by f ( x ) + k , k f ( x ), explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Identify the effect on the graph of replacing f ( x ) by f ( x ) + k , k f ( x ),"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 (+) understand the inverse relationship between exponents and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"(+) Understand the inverse relationship between exponents and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 distinguish between situations that can be modeled with linear explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Distinguish between situations that can be modeled with linear"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 construct linear and exponential functions, including arithmetic and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Construct linear and exponential functions, including arithmetic and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 observe using graphs and tables that a quantity increasing explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Observe using graphs and tables that a quantity increasing"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 for exponential models, express as a logarithm the solution to explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"For exponential models, express as a logarithm the solution to"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 interpret the parameters in a linear or exponential function in terms of explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Interpret the parameters in a linear or exponential function in terms of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 understand radian measure of an angle as the length of the arc on the explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Understand radian measure of an angle as the length of the arc on the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 explain how the unit circle in the coordinate plane enables the explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Explain how the unit circle in the coordinate plane enables the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 (+) use special triangles to determine geometrically the values of sine, explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"(+) Use special triangles to determine geometrically the values of sine,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 (+) use the unit circle to explain symmetry (odd and even) and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"(+) Use the unit circle to explain symmetry (odd and even) and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 choose trigonometric functions to model periodic phenomena with explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Choose trigonometric functions to model periodic phenomena with"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 (+) understand that restricting a trigonometric function to a domain explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"(+) Understand that restricting a trigonometric function to a domain"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 prove the pythagorean identity sin 2 (θ) + cos 2 (θ) = 1 and use it to find explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"Prove the Pythagorean identity sin 2 (θ) + cos 2 (θ) = 1 and use it to find"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.9 (+) prove the addition and subtraction formulas for sine, cosine, and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.9

Statistics and Probability

Official Standard

"(+) Prove the addition and subtraction formulas for sine, cosine, and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 construct viable arguments and critique explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 model with mathematics. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 attend to precision. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 know precise definitions of angle, circle, perpendicular line, parallel explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Know precise definitions of angle, circle, perpendicular line, parallel"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 represent transformations in the plane using, e.g., transparencies explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Represent transformations in the plane using, e.g., transparencies"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 given a rectangle, parallelogram, trapezoid, or regular polygon, explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Given a rectangle, parallelogram, trapezoid, or regular polygon,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 develop definitions of rotations, reflections, and translations in terms explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Develop definitions of rotations, reflections, and translations in terms"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 given a geometric figure and a rotation, reflection, or translation, explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Given a geometric figure and a rotation, reflection, or translation,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 use geometric descriptions of rigid motions to transform figures and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Use geometric descriptions of rigid motions to transform figures and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 explain how the criteria for triangle congruence (asa, sas, and sss) explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"Explain how the criteria for triangle congruence (ASA, SAS, and SSS)"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.9 prove theorems about lines and angles. theorems include: vertical explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.9

Statistics and Probability

Official Standard

"Prove theorems about lines and angles. Theorems include: vertical"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.12 make formal geometric constructions with a variety of tools and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.12

Statistics and Probability

Official Standard

"Make formal geometric constructions with a variety of tools and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.13 construct an equilateral triangle, a square, and a regular hexagon explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.13

Statistics and Probability

Official Standard

"Construct an equilateral triangle, a square, and a regular hexagon"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 verify experimentally the properties of dilations given by a center and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Verify experimentally the properties of dilations given by a center and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 given two figures, use the definition of similarity in terms of similarity explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Given two figures, use the definition of similarity in terms of similarity"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 use the properties of similarity transformations to establish the aa explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Use the properties of similarity transformations to establish the AA"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 prove theorems about triangles. theorems include: a line parallel to one explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Prove theorems about triangles. Theorems include: a line parallel to one"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 understand that by similarity, side ratios in right triangles are explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Understand that by similarity, side ratios in right triangles are"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 use trigonometric ratios and the pythagorean theorem to solve right explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"Use trigonometric ratios and the Pythagorean Theorem to solve right"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.9 (+) derive the formula a = 1/2 ab sin( c ) for the area of a triangle by explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.9

Statistics and Probability

Official Standard

"(+) Derive the formula A = 1/2 ab sin( C ) for the area of a triangle by"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.10 (+) prove the laws of sines and cosines and use them to solve explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.10

Statistics and Probability

Official Standard

"(+) Prove the Laws of Sines and Cosines and use them to solve"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.11 (+) understand and apply the law of sines and the law of cosines explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.11

Statistics and Probability

Official Standard

"(+) Understand and apply the Law of Sines and the Law of Cosines"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 prove that all circles are similar. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Prove that all circles are similar."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 identify and describe relationships among inscribed angles, radii, explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Identify and describe relationships among inscribed angles, radii,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 (+) construct a tangent line from a point outside a given circle to the explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"(+) Construct a tangent line from a point outside a given circle to the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 derive using similarity the fact that the length of the arc intercepted explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Derive using similarity the fact that the length of the arc intercepted"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 derive the equation of a circle of given center and radius using the explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Derive the equation of a circle of given center and radius using the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 derive the equation of a parabola given a focus and directrix. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Derive the equation of a parabola given a focus and directrix."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 (+) derive the equations of ellipses and hyperbolas given the foci, explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"(+) Derive the equations of ellipses and hyperbolas given the foci,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 use coordinates to prove simple geometric theorems algebraically. for explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Use coordinates to prove simple geometric theorems algebraically. For"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 find the point on a directed line segment between two given points explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Find the point on a directed line segment between two given points"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 give an informal argument for the formulas for the circumference of explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Give an informal argument for the formulas for the circumference of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 (+) give an informal argument using cavalieri’s principle for the explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"(+) Give an informal argument using Cavalieri’s principle for the"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 use volume formulas for cylinders, pyramids, cones, and spheres to explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Use volume formulas for cylinders, pyramids, cones, and spheres to"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 identify the shapes of two-dimensional cross-sections of three- explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Identify the shapes of two-dimensional cross-sections of three-"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 use geometric shapes, their measures, and their properties to describe explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Use geometric shapes, their measures, and their properties to describe"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 apply concepts of density based on area and volume in modeling explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Apply concepts of density based on area and volume in modeling"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 apply geometric methods to solve design problems (e.g., designing explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Apply geometric methods to solve design problems (e.g., designing"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 make sense of problems and persevere in explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Make sense of problems and persevere in"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 reason abstractly and quantitatively. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Reason abstractly and quantitatively."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 construct viable arguments and critique explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Construct viable arguments and critique"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 model with mathematics. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Model with mathematics."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 use appropriate tools strategically. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Use appropriate tools strategically."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 attend to precision. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Attend to precision."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 look for and express regularity in repeated explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"Look for and express regularity in repeated"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 represent data with plots on the real number line (dot plots, explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Represent data with plots on the real number line (dot plots,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 use statistics appropriate to the shape of the data distribution to explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Use statistics appropriate to the shape of the data distribution to"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 interpret differences in shape, center, and spread in the context of explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Interpret differences in shape, center, and spread in the context of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 use the mean and standard deviation of a data set to fit it to a normal explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Use the mean and standard deviation of a data set to fit it to a normal"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 summarize categorical data for two categories in two-way frequency explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Summarize categorical data for two categories in two-way frequency"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 represent data on two quantitative variables on a scatter plot, and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Represent data on two quantitative variables on a scatter plot, and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 compute (using technology) and interpret the correlation coefficient explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"Compute (using technology) and interpret the correlation coefficient"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.9 distinguish between correlation and causation. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.9

Statistics and Probability

Official Standard

"Distinguish between correlation and causation."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 understand statistics as a process for making inferences about explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Understand statistics as a process for making inferences about"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 decide if a specified model is consistent with results from a given explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Decide if a specified model is consistent with results from a given"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 recognize the purposes of and differences among sample surveys, explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Recognize the purposes of and differences among sample surveys,"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 use data from a sample survey to estimate a population mean or explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Use data from a sample survey to estimate a population mean or"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 use data from a randomized experiment to compare two treatments; explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"Use data from a randomized experiment to compare two treatments;"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 evaluate reports based on data. explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Evaluate reports based on data."

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 describe events as subsets of a sample space (the set of outcomes) explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"Describe events as subsets of a sample space (the set of outcomes)"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 understand that two events a and b are independent if the probability explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"Understand that two events A and B are independent if the probability"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 understand the conditional probability of a given b as p ( a and explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"Understand the conditional probability of A given B as P ( A and"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.4 construct and interpret two-way frequency tables of data when two explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.4

Statistics and Probability

Official Standard

"Construct and interpret two-way frequency tables of data when two"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.6 find the conditional probability of a given b as the fraction of b ’s explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.6

Statistics and Probability

Official Standard

"Find the conditional probability of A given B as the fraction of B ’s"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.8 (+) apply the general multiplication rule in a uniform probability explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.8

Statistics and Probability

Official Standard

"(+) Apply the general Multiplication Rule in a uniform probability"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.9 (+) use permutations and combinations to compute probabilities of explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.9

Statistics and Probability

Official Standard

"(+) Use permutations and combinations to compute probabilities of"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.1 (+) define a random variable for a quantity of interest by assigning explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.1

Statistics and Probability

Official Standard

"(+) Define a random variable for a quantity of interest by assigning"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.2 (+) calculate the expected value of a random variable; interpret it as explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.2

Statistics and Probability

Official Standard

"(+) Calculate the expected value of a random variable; interpret it as"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.3 (+) develop a probability distribution for a random variable defined explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.3

Statistics and Probability

Official Standard

"(+) Develop a probability distribution for a random variable defined"

Plain English Explanation

Explanation available upon request.

data-search="ccss.math.content.8.sp.5 (+) weigh the possible outcomes of a decision by assigning explanation available upon request.">
Math Grade 8 CCSS.MATH.CONTENT.8.SP.5

Statistics and Probability

Official Standard

"(+) Weigh the possible outcomes of a decision by assigning"

Plain English Explanation

Explanation available upon request.