8th Grade Level J | Hesten's Learning

Module 1

Module 1: Integer Exponents and Scientific Notation

Exponential notation, laws of integer exponents, magnitude, scientific notation operations, and real-world scientific applications.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Exponential Notation and Properties of Integer Exponents

Topic A Honors Achieved!

All skills in Exponential Notation and Properties of Integer Exponents completed or mastered!

J.M1.A.1 Exponential Notation

J.M1.A.2 Multiplication of Numbers in Exponential Form

J.M1.A.3 Numbers in Exponential Form Raised to a Power

J.M1.A.4 Numbers Raised to the Zeroth Power

J.M1.A.5 Negative Exponents and the Laws of Exponents

J.M1.A.6 Proofs of Laws of Exponents

Magnitude and Scientific Notation

Topic B Honors Achieved!

All skills in Magnitude and Scientific Notation completed or mastered!

J.M1.B.1 Magnitude

J.M1.B.2 Estimating Quantities

J.M1.B.3 Scientific Notation

J.M1.B.4 Operations with Numbers in Scientific Notation

J.M1.B.5 Efficacy of Scientific Notation

J.M1.B.6 Choice of Unit

J.M1.B.7 Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology

Module 2

Module 2: The Concept of Congruence

Rigid motions (translations, reflections, rotations), congruence of two-dimensional figures, angles, transversals, and the Pythagorean Theorem.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Definitions and Properties of the Basic Rigid Motions

Topic A Honors Achieved!

All skills in Definitions and Properties of the Basic Rigid Motions completed or mastered!

J.M2.A.1 Why Move Things Around?

J.M2.A.2 Definition of Translation and Three Basic Properties

J.M2.A.3 Translating Lines

J.M2.A.4 Definition of Reflection and Basic Properties

J.M2.A.5 Definition of Rotation and Basic Properties

J.M2.A.6 Rotations of 180 Degrees

Sequencing the Basic Rigid Motions

Topic B Honors Achieved!

All skills in Sequencing the Basic Rigid Motions completed or mastered!

J.M2.B.1 Sequencing Translations

J.M2.B.2 Sequencing Reflections and Translations

J.M2.B.3 Sequencing Rotations

J.M2.B.4 Sequences of Rigid Motions

Congruence and Angle Relationships

Topic C Honors Achieved!

All skills in Congruence and Angle Relationships completed or mastered!

J.M2.C.1 Definition of Congruence and Some Basic Properties

J.M2.C.2 Angles Associated with Parallel Lines

J.M2.C.3 Angle Sum of a Triangle

J.M2.C.4 More on the Angles of a Triangle

The Pythagorean Theorem

Topic D Honors Achieved!

All skills in The Pythagorean Theorem completed or mastered!

J.M2.D.1 Informal Proof of the Pythagorean Theorem

J.M2.D.2 Applications of the Pythagorean Theorem

Module 3

Module 3: Similarity

Dilations, scale factors, coordinate rules for dilations, similarity transformations, properties of similar triangles, and angle-angle criterion.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Dilation

Topic A Honors Achieved!

All skills in Dilation completed or mastered!

J.M3.A.1 What Lies Behind "Same Shape"?

J.M3.A.2 Properties of Dilations

J.M3.A.3 Examples of Dilations

J.M3.A.4 Fundamental Theorem of Similarity (FTS)

J.M3.A.5 First Consequences of FTS

J.M3.A.6 Dilations on the Coordinate Plane

J.M3.A.7 Informal Proofs of Properties of Dilations

Similar Figures

Topic B Honors Achieved!

All skills in Similar Figures completed or mastered!

J.M3.B.1 Similarity

J.M3.B.2 Basic Properties of Similarity

J.M3.B.3 Informal Proof of AA Criterion for Similarity

J.M3.B.4 More About Similar Triangles

J.M3.B.5 Modeling Using Similarity

The Pythagorean Theorem

Topic C Honors Achieved!

All skills in The Pythagorean Theorem completed or mastered!

J.M3.C.1 Proof of the Pythagorean Theorem

J.M3.C.2 The Converse of the Pythagorean Theorem

Module 4

Module 4: Linear Equations

Writing and solving linear equations in one variable, graphing two-variable linear equations, slope, rate of change, and systems of linear equations.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Writing and Solving Linear Equations

Topic A Honors Achieved!

All skills in Writing and Solving Linear Equations completed or mastered!

J.M4.A.1 Writing Equations Using Symbols

J.M4.A.2 Linear and Nonlinear Expressions in x

J.M4.A.3 Linear Equations in x

J.M4.A.4 Solving a Linear Equation

J.M4.A.5 Writing and Solving Linear Equations

J.M4.A.6 Solutions of a Linear Equation

J.M4.A.7 Classification of Solutions

J.M4.A.8 Linear Equations in Disguise

J.M4.A.9 An Application of Linear Equations

Linear Equations in Two Variables and Their Graphs

Topic B Honors Achieved!

All skills in Linear Equations in Two Variables and Their Graphs completed or mastered!

J.M4.B.1 A Critical Look at Proportional Relationships

J.M4.B.2 Constant Rate

J.M4.B.3 Linear Equations in Two Variables

J.M4.B.4 The Graph of a Linear Equation in Two Variables

J.M4.B.5 The Graph of a Linear Equation—Horizontal and Vertical Lines

Slope and Equations of Lines

Topic C Honors Achieved!

All skills in Slope and Equations of Lines completed or mastered!

J.M4.C.1 The Slope of a Non-Vertical Line

J.M4.C.2 The Computation of the Slope of a Non-Vertical Line

J.M4.C.3 The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m

J.M4.C.4 There Is Only One Line Passing Through a Given Point with a Given Slope

J.M4.C.5 The Graph of a Linear Equation in Two Variables Is a Line

J.M4.C.6 Every Line Is a Graph of a Linear Equation

J.M4.C.7 Some Facts About Graphs of Linear Equations in Two Variables

J.M4.C.8 Constant Rates Revisited

J.M4.C.9 The Defining Equation of a Line

Systems of Linear Equations and Their Solutions

Topic D Honors Achieved!

All skills in Systems of Linear Equations and Their Solutions completed or mastered!

J.M4.D.1 Introduction to Simultaneous Equations

J.M4.D.2 Geometric Interpretation of the Solutions of a Linear System

J.M4.D.3 Characterization of Parallel Lines

J.M4.D.4 Nature of Solutions of a System of Linear Equations

J.M4.D.5 Another Computational Method of Solving a Linear System

J.M4.D.6 Word Problems

J.M4.D.7 Conversion Between Celsius and Fahrenheit

Pythagorean Theorem and Systems Applications

Topic E Honors Achieved!

All skills in Pythagorean Theorem and Systems Applications completed or mastered!

J.M4.E.1 System of Equations Leading to Pythagorean Triples

Module 5

Module 5: Examples of Functions from Geometry

Concept of functions, input-output mappings, linear vs nonlinear functions, graphs of functions, and volumes of cones, cylinders, and spheres.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Functions

Topic A Honors Achieved!

All skills in Functions completed or mastered!

J.M5.A.1 The Concept of a Function

J.M5.A.2 Formal Definition of a Function

J.M5.A.3 Linear Functions and Proportionality

J.M5.A.4 More Examples of Functions

J.M5.A.5 Graphs of Functions and Equations

J.M5.A.6 Graphs of Linear Functions and Rate of Change

J.M5.A.7 Comparing Linear Functions and Graphs

J.M5.A.8 Graphs of Simple Nonlinear Functions

Volume

Topic B Honors Achieved!

All skills in Volume completed or mastered!

J.M5.B.1 Examples of Functions from Geometry

J.M5.B.2 Volumes of Familiar Solids―Cones and Cylinders

J.M5.B.3 Volume of a Sphere

Module 6

Module 6: Linear Functions

Modeling linear relationships, bivariate numerical data, scatter plots, lines of best fit, linear vs nonlinear patterns, and two-way frequency tables.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Linear Functions

Topic A Honors Achieved!

All skills in Linear Functions completed or mastered!

J.M6.A.1 Modeling Linear Relationships

J.M6.A.2 Interpreting Rate of Change and Initial Value

J.M6.A.3 Representations of a Line

J.M6.A.4 Increasing and Decreasing Functions

J.M6.A.5 Increasing and Decreasing Functions

Bivariate Numerical Data

Topic B Honors Achieved!

All skills in Bivariate Numerical Data completed or mastered!

J.M6.B.1 Scatter Plots

J.M6.B.2 Patterns in Scatter Plots

J.M6.B.3 Informally Fitting a Line

J.M6.B.4 Determining the Equation of a Line Fit to Data

Linear and Nonlinear Models

Topic C Honors Achieved!

All skills in Linear and Nonlinear Models completed or mastered!

J.M6.C.1 Linear Models

J.M6.C.2 Using Linear Models in a Data Context

J.M6.C.3 Nonlinear Models in a Data Context (Optional)

Bivariate Categorical Data

Topic D Honors Achieved!

All skills in Bivariate Categorical Data completed or mastered!

J.M6.D.1 Summarizing Bivariate Categorical Data in a Two-Way Table

J.M6.D.2 Association Between Categorical Variables

Module 7

Module 7: Introduction to Irrational Numbers Using Geometry

Square and cube roots, decimal expansions of rational and irrational numbers, Pythagorean Theorem proofs, distance on coordinate plane, and radical applications.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Square and Cube Roots

Topic A Honors Achieved!

All skills in Square and Cube Roots completed or mastered!

J.M7.A.1 The Pythagorean Theorem

J.M7.A.2 Square Roots

J.M7.A.3 Existence and Uniqueness of Square Roots and Cube Roots

J.M7.A.4 Simplifying Square Roots

J.M7.A.5 Solving Equations with Radicals

Decimal Expansions of Numbers

Topic B Honors Achieved!

All skills in Decimal Expansions of Numbers completed or mastered!

J.M7.B.1 Finite and Infinite Decimals

J.M7.B.2 Infinite Decimals

J.M7.B.3 The Long Division Algorithm

J.M7.B.4 Decimal Expansions of Fractions, Part 1

J.M7.B.5 Converting Repeating Decimals to Fractions

J.M7.B.6 The Decimal Expansion of Some Irrational Numbers

J.M7.B.7 Decimal Expansions of Fractions, Part 2

J.M7.B.8 Comparing Irrational Numbers

J.M7.B.9 Decimal Expansion of π

The Pythagorean Theorem

Topic C Honors Achieved!

All skills in The Pythagorean Theorem completed or mastered!

J.M7.C.1 Pythagorean Theorem, Revisited

J.M7.C.2 Converse of the Pythagorean Theorem

J.M7.C.3 Distance on the Coordinate Plane

J.M7.C.4 Applications of the Pythagorean Theorem

Applications of Radicals and Roots

Topic D Honors Achieved!

All skills in Applications of Radicals and Roots completed or mastered!

J.M7.D.1 Cones and Spheres

J.M7.D.2 Truncated Cones

J.M7.D.3 Volume of Composite Solids

J.M7.D.4 Average Rate of Change

J.M7.D.5 Nonlinear Motion

Module 1

Ela Standards & Skills - Module 1

Comprehensive academic competencies for 8th Grade aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Reading Literature & Informational Text (RL.8 / RI.8)

RL.8.1 / RI.8.1 Cite the textual evidence that most strongly supports an analysis of what the text says explicitly as well as inferences drawn from the text.

RL.8.2 Determine a theme or central idea of a text and analyze its development over the course of the text, including its relationship to characters, setting, and plot.

RL.8.3 Analyze how particular lines of dialogue or incidents in a story or drama propel the action, reveal aspects of a character, or provoke a decision.

RI.8.6 Determine an author's point of view or purpose in a text and analyze how the author acknowledges and responds to conflicting evidence or viewpoints.

RI.8.8 Delineate and evaluate the argument and specific claims in a text, assessing whether the reasoning is sound and the evidence is relevant and sufficient; recognize when irrelevant evidence is introduced.

Writing Standards (W.8)

W.8.1 Write arguments to support claims with clear reasons and relevant evidence; introduce claims, acknowledge and distinguish claims from alternate claims; organize reasons logically; provide concluding section.

W.8.2 Write informative/explanatory texts to examine a topic and convey ideas through well-chosen facts, definitions, concrete details, quotations, or other information.

W.8.8 Gather relevant information from multiple print and digital sources, assess the credibility and accuracy of each source, and quote or paraphrase data avoiding plagiarism and following a standard citation format.

Language Standards (L.8)

L.8.1 Demonstrate command of grammar: explain the function of verbals (gerunds, participles, infinitives); form and use verbs in the active and passive voice; form and use verbs in the indicative, imperative, interrogative, conditional, and subjunctive mood.

L.8.2 Use punctuation (comma, ellipsis, dash) to indicate a pause or break; use an ellipsis to indicate an omission.

L.8.5 Interpret figures of speech (e.g., verbal irony, puns) in context.

Module 1

Science Standards & Skills - Module 1

Comprehensive academic competencies for 8th Grade aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Matter and Its Interactions (MS-PS1)

MS-PS1-1 Develop models to describe the atomic composition of simple molecules and extended structures.

MS-PS1-2 Analyze and interpret data on the properties of substances before and after the substances interact to determine if a chemical reaction has occurred.

MS-PS1-5 Develop and use a model to describe how the total number of atoms does not change in a chemical reaction and thus mass is conserved.

Motion and Stability: Forces and Interactions (MS-PS2)

MS-PS2-1 Apply Newton's Third Law to design a solution to a problem involving the motion of two colliding objects.

MS-PS2-2 Plan an investigation to provide evidence that the change in an object's motion depends on the sum of the forces on the object and the mass of the object (Newton's Second Law: F=ma).

MS-PS2-5 Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact (gravitational, electric, magnetic fields).

Energy, Waves, and Electromagnetic Radiation (MS-PS3 / MS-PS4)

MS-PS3-1 Construct and interpret graphical displays of data to describe the relationships of kinetic energy to the mass of an object and to the speed of an object.

MS-PS4-1 Use mathematical representations to describe a simple model for waves that includes how the amplitude of a wave is related to the energy in a wave.

MS-PS4-2 Develop and use a model to describe that waves are reflected, absorbed, or transmitted through various materials.

Module 1

Social Standards & Skills - Module 1

Comprehensive academic competencies for 8th Grade aligned with national frameworks.

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Module 1

Module 1: Integer Exponents and Scientific Notation

Exponential Notation and Properties of Integer Exponents

Magnitude and Scientific Notation

Module 2

Module 2: The Concept of Congruence

Definitions and Properties of the Basic Rigid Motions

Sequencing the Basic Rigid Motions

Congruence and Angle Relationships

The Pythagorean Theorem

Module 3

Module 3: Similarity

Dilation

Similar Figures

The Pythagorean Theorem

Module 4

Module 4: Linear Equations

Writing and Solving Linear Equations

Linear Equations in Two Variables and Their Graphs

Slope and Equations of Lines

Systems of Linear Equations and Their Solutions

Pythagorean Theorem and Systems Applications

Module 5

Module 5: Examples of Functions from Geometry

Functions

Volume

Module 6

Module 6: Linear Functions

Linear Functions

Bivariate Numerical Data

Linear and Nonlinear Models

Bivariate Categorical Data

Module 7

Module 7: Introduction to Irrational Numbers Using Geometry

Square and Cube Roots

Decimal Expansions of Numbers

The Pythagorean Theorem

Applications of Radicals and Roots

Module 1

Ela Standards & Skills - Module 1

Reading Literature & Informational Text (RL.8 / RI.8)

Writing Standards (W.8)

Language Standards (L.8)

Module 1

Science Standards & Skills - Module 1

Matter and Its Interactions (MS-PS1)

Motion and Stability: Forces and Interactions (MS-PS2)

Energy, Waves, and Electromagnetic Radiation (MS-PS3 / MS-PS4)

Module 1

Social Standards & Skills - Module 1

Civics: Federalism and the Constitutional Republic (D2.Civ.8)

Economics: Sectionalism & Industrialization (D2.Eco.8)

History: Civil War, Abolition, and Reconstruction Amendments (D2.His.8)