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Level E Math

3rd Grade ENGAGENY / CC 0 Mastered

Multiplication, division, fractions as numbers, area, and two-dimensional shapes.

SKILL DIAGNOSTIC

Module 1

Module 1: Properties of Multiplication and Division and Solving Problems with Units of 2–5 and 10

Module 1: Properties of Multiplication and Division and Solving Problems with Units of 2–5 and 10 for 3rd Grade students.

Module Mastery
0%
0 / 0 Lessons 0 Mastered (80%+)
A

Topic A

E

Topic E begins by introducing students to multiplication by 4 through skip-counting objects in array models in Lesson 14. Students revisit the commutative property in Lesson 15, this time modeling commutativity using both arrays and tape diagrams. For example, students might initially draw a 2 × 4 array and a 4 × 2 array. Then, they see 2 bars of equal length, one with 4 equal parts and the other with 2 equal parts. Now, they have arrays that show (2 × 4) = (4 × 2), as well as tape diagrams that reflect the equality. In Lesson 16, students examine the distributive property in greater depth. This lesson introduces the 5 + n pattern as a strategy for finding unknown facts involving 4. For example, students know that 4 × 5 is 20, so 4 × 6 is the same as 20 + 4 more, which totals 24. By Lesson 17, practice of multiplication and division facts is dedicated to modeling the relationship between operations using facts of 4.

F

Topic F introduces the factors 5 and 10, familiar from skip-counting in Grade 2. Students apply the multiplication and division strategies they have learned to mixed practice with all of the factors included in Module 1. Students model relationships between factors and decompose numbers as they further explore the relationship between multiplication and division. This culminates in Lessons 18 and 19 as students decompose the dividend in a division sentence to practice the distributive property with division. For example, students decompose 28 4 as (20 4) + (8 4) = 5 + 2 = 7. In the final lessons of the module, students apply the tools, representations, and concepts they have learned to solve multi-step word problems. They demonstrate the flexibility of their thinking as they assess the reasonableness of their answers for a variety of problem types. Lesson 20 focuses on word problems involving multiplication and division, while Lesson 21 increases the complexity of problem solving by including word problems involving all four operations.

Module 2

Module 2: Place Value and Problem Solving with Units of Measure

Module 2: Place Value and Problem Solving with Units of Measure for 3rd Grade students.

Module Mastery
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0 / 0 Lessons 0 Mastered (80%+)
C

Topic C builds on students’ Grade 2 work with comparing numbers according to the value of digits in the hundreds, tens, and ones places (2.NBT.4). Lesson 12 formally introduces rounding two-digit numbers to the nearest ten. Rounding to the leftmost unit usually presents the least challenging type of estimate for students, and so here the sequence begins. Students measure two-digit intervals of minutes and metric measurements, and then use place value understanding to round. They understand that when moving to the right across the places in a number, the digits represent smaller units. Intervals of minutes and metric measurements provide natural contexts for estimation. The number line, presented vertically, provides a new perspective on a familiar tool.

Module 3

Module 3: Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10

Module 3: Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10 for 3rd Grade students.

Module Mastery
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0 / 0 Lessons 0 Mastered (80%+)

Module 4

Module 4: Multiplication and Area

Module 4: Multiplication and Area for 3rd Grade students.

Module Mastery
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0 / 0 Lessons 0 Mastered (80%+)
C

Topic C begins with a concrete study of arithmetic properties. Students cut apart rectangular grids and rearrange the parts to create new rectangles with the same area. Lesson 9 lays the foundation for the work to come in Lessons 10 and 11.

D

Topic D requires students to synthesize and apply their knowledge of area. Lesson 12 begins the topic with an emphasis on real-world applications by providing students with opportunities to apply their understanding of area to solving word problems. Students may practice unknown product, group size unknown, and number of groups unknown types of problems. (See examples of problem types in the chart on page 19 of the Geometric Measurement Progression.) The word problems provide a stepping-stone for the real-world, project-based application of area to composite shapes and the area floor plan in this topic.

Module 5

Module 5: Fractions as Numbers on the Number Line

Module 5: Fractions as Numbers on the Number Line for 3rd Grade students.

Module Mastery
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0 / 0 Lessons 0 Mastered (80%+)

Module 6

Module 6: Collecting and Displaying Data

Module 6: Collecting and Displaying Data for 3rd Grade students.

Module Mastery
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0 / 0 Lessons 0 Mastered (80%+)
A

Topic A

Module 7

Module 7: Geometry and Measurement Word Problems

Module 7: Geometry and Measurement Word Problems for 3rd Grade students.

Module Mastery
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0 / 0 Lessons 0 Mastered (80%+)

Module 1

Ela Standards & Skills - Module 1

Comprehensive academic competencies for 3rd Grade aligned with national frameworks.

Module Mastery
0%
0 / 0 Lessons 0 Mastered (80%+)

Module 2

Ela Standards & Skills - Module 2

Comprehensive academic competencies for 3rd Grade aligned with national frameworks.

Module Mastery
0%
0 / 0 Lessons 0 Mastered (80%+)

Module 1

Science Standards & Skills - Module 1

Comprehensive academic competencies for 3rd Grade aligned with national frameworks.

Module Mastery
0%
0 / 0 Lessons 0 Mastered (80%+)
C

Inheritance and Variation of Traits: Life Cycles (3-LS1 / 3-LS3)

Module 2

Science Standards & Skills - Module 2

Comprehensive academic competencies for 3rd Grade aligned with national frameworks.

Module Mastery
0%
0 / 0 Lessons 0 Mastered (80%+)
D

Weather and Climate (3-ESS2 / 3-ESS3)

Module 1

Social Standards & Skills - Module 1

Comprehensive academic competencies for 3rd Grade aligned with national frameworks.

Module Mastery
0%
0 / 0 Lessons 0 Mastered (80%+)
A

Civics: Civic Participation & Deliberation (D2.Civ.3)

B

Geography: Regions, Resources, and Maps (D2.Geo.3)

C

Economics: Markets, Supply, and Demand (D2.Eco.3)

Module 2

Social Standards & Skills - Module 2

Comprehensive academic competencies for 3rd Grade aligned with national frameworks.

Module Mastery
0%
0 / 0 Lessons 0 Mastered (80%+)
D

History: Indigenous Peoples & Settlement (D2.His.3)