Our Curriculum › Math › 8th Grade
Math 8
A full year of 8th-grade math: exponents and irrational numbers, slope and linear equations, systems of equations, functions, transformations, the Pythagorean theorem, volume, and data, then a long run of applications, practice tests and review.
180 lessons
One a day for a school year
10 units
Each opens to its lessons
7 practice tests
Plus 5 mastery checks
Standards
Common Core Grade 8 math
What's taught, unit by unit
Irrational numbers, exponents & scientific notationDays 1–7
Square roots and cube roots, approximating irrational numbers, integer exponent rules, and comparing very large and very small numbers in scientific notation.
- 1 · Welcome to Math 8: Irrational Numbers
- 2 · Approximating Irrational Numbers
- 3 · Integer Exponent Rules
- 4 · Square Roots and Cube Roots as Equation Solutions
- 6 · Introduction to Scientific Notation Operations
- 7 · Comparing Very Large and Very Small Numbers
Plus 1 review day, not listed.
Slope & linear equationsDays 8–20
Slope from a graph and from two points, graphing lines, y = mx and y = mx + b, and solving linear equations with one solution, no solution or infinitely many solutions.
- 8 · Introduction to Slope
- 9 · Calculating Slope from Two Points
- 11 · Graphing Lines Using Slope
- 12 · Understanding y = mx
- 13 · Understanding y = mx + b
- 14 · Graphing y = mx + b
- 16 · Solving Linear Equations: One Solution
- 17 · Solving Linear Equations: No Solution
- 18 · Solving Linear Equations: Infinite Solutions
- 19 · Identifying Solution Types Without Fully Solving
Plus 3 review days, not listed.
Systems of equations & functionsDays 21–32
Solving two equations together by graphing, substitution and inspection, then what a function is, comparing functions in tables, graphs and equations, linear and non-linear functions, and modeling real situations.
- 21 · Introduction to Systems of Linear Equations
- 22 · Solving Systems by Graphing
- 23 · Solving Systems by Substitution
- 24 · Solving Systems by Inspection
- 26 · Introduction to Functions
- 27 · Comparing Functions Across Representations
- 28 · Linear Functions: y = mx + b as a Function
- 29 · Non-Linear Functions
- 31 · Modeling Real-World Situations with Linear Functions
- 32 · Interpreting Rate of Change and Initial Value
Plus 2 review days, not listed.
Transformations, congruence, similarity & anglesDays 33–50
Translations, reflections, rotations and dilations, using them to show congruence and similarity, the angle sum and exterior angle of triangles, angles formed by parallel lines and a transversal, and AA similarity.
- 33 · Introduction to Transformations: Translations
- 34 · Reflections
- 36 · Rotations
- 37 · Verifying Properties of Transformations
- 38 · Congruence Through Transformation Sequences
- 39 · Dilations
- 41 · Describing Dilation Effects with Coordinates
- 42 · Similarity Through Transformation Sequences
- 43 · Informal Angle-Sum Argument for Triangles
- 44 · Exterior Angle Theorem
- 46 · Parallel Lines Cut by a Transversal
- 47 · Solving for Angles Using Transversal Relationships
- 48 · Angle-Angle Similarity Criterion
- 49 · Applying Similar Triangles to Solve Problems
Plus 4 review days, not listed.
Pythagorean theorem, volume & dataDays 51–70
The Pythagorean theorem with a visual proof, in 2D and 3D, and for distance on a graph; volume of cones, spheres and cylinders; then scatter plots, lines of best fit, and two-way tables with relative frequencies.
- 51 · Introduction to the Pythagorean Theorem
- 52 · A Visual Proof of the Pythagorean Theorem
- 53 · Applying the Pythagorean Theorem in 2D
- 54 · Applying the Pythagorean Theorem in 3D
- 56 · Distance Between Two Points on the Coordinate Plane
- 57 · Volume of Cones
- 58 · Volume of Spheres
- 59 · Comparing Volumes of Cones, Cylinders, and Spheres
- 61 · Introduction to Scatter Plots
- 62 · Describing Patterns in Scatter Plots
- 63 · Fitting an Informal Linear Model
- 64 · Using a Linear Model to Make Predictions
- 66 · Introduction to Two-Way Tables
- 67 · Reading Relative Frequencies in Two-Way Tables
- 68 · Identifying Associations in Two-Way Tables
- 69 · Applying Two-Way Tables to Real-World Surveys
Plus 4 review days, not listed.
Mixed review, then equations & systems in word problemsDays 71–90
A skills portfolio, mixed reviews of every unit, a design challenge, then solving multi-step equations, writing equations and systems from word problems, choosing a method, and checking answers for reasonableness.
- 71 · Halfway Milestone: Skills Portfolio
- 72 · Mixed Review: Exponents and Number Systems
- 73 · Mixed Review: Slope and Linear Equations
- 74 · Mixed Review: Functions and Systems
- 76 · Mixed Review: Transformations and Angle Relationships
- 77 · Mixed Review: Pythagorean Theorem and Volume
- 78 · Mixed Review: Scatter Plots and Two-Way Tables
- 79 · Applying Math Skills to a Design Challenge
- 81 · Solving Compound Multi-Step Equations
- 82 · Writing Equations from Word Problems
- 83 · Writing Systems of Equations from Word Problems
- 84 · Solving Real-World Systems Problems
- 86 · Interpreting Solutions in Context
- 87 · Choosing the Best Solution Method
- 88 · Checking Solutions for Reasonableness
- 89 · Reflecting on a Semester of Math 8
Plus 4 review days, not listed.
Second pass & real-world applicationsDays 91–114
Functions from tables, composite 3D figures, outliers, equations with fractions, and applications to navigation, architecture, engineering, business, sports and mixture problems, plus mixed reviews and a presentation.
- 91 · Deepening Functions: Rate of Change from a Table
- 92 · Deepening Functions: Writing an Equation from a Table
- 93 · Comparing Functions from Different Real-World Contexts
- 94 · Piecewise-Style Real-World Situations (Conceptual)
- 96 · Deepening Geometry: Composite 3D Figures
- 97 · Deepening Data Analysis: Outliers in Scatter Plots
- 98 · Deepening Algebra: Equations with Fractions
- 99 · Applying Deepened Skills to a Real Project
- 101 · Applying the Pythagorean Theorem to Navigation
- 102 · Applying Similar Triangles to Architecture
- 103 · Applying Volume Formulas to Engineering
- 104 · Applying Functions to Business Scenarios
- 106 · Applying Statistics to Sports Data
- 107 · Applying Two-Way Tables to Survey Data
- 108 · Applying Systems of Equations to Mixture Problems
- 109 · Presenting a Real-World Math Application
- 111 · Mixed Review: Number Systems and Algebra
- 112 · Mixed Review: Slope, Intercepts, and Solving Systems
- 113 · Mixed Review: Geometry and Transformations
- 114 · Mixed Review: Data and Statistics
Plus 4 review days, not listed.
Algebra I preview, personal finance & deeper practiceDays 115–150
A preview of function notation and proof, a practice test, savings, budgets and loan interest, home improvement and recipes, deeper systems and statistics, solving formulas for a variable, mixed reviews and a community project.
- 116 · Preparing for Algebra I: Function Notation Preview
- 117 · Preparing for Geometry: Formal Proof Preview
- 118 · Reviewing Test-Taking Strategies
- 119 · Practice Test: Comprehensive Review
- 121 · Applying Math to a Personal Finance Scenario
- 122 · Comparing Savings and Investment Growth
- 123 · Calculating a Simple Budget
- 124 · Understanding Loan Interest (Conceptual)
- 126 · Applying Geometry to Home Improvement
- 127 · Applying Statistics to Consumer Decisions
- 128 · Applying Proportional Reasoning to Recipe Scaling
- 129 · Presenting a Real-Life Math Application
- 131 · Solving Systems with No Solution or Infinite Solutions
- 132 · Estimating Solutions from a Graph
- 133 · Verifying Solutions to Systems
- 134 · Real-World Systems: Comparing Costs Over Time
- 136 · Deepening Statistics: Comparing Multiple Data Sets
- 137 · Deepening Geometry: Coordinate Proofs (Informal)
- 138 · Deepening Algebra: Solving for a Variable in a Formula
- 139 · Applying Deepened Skills to a Capstone Problem
- 141 · Comprehensive Mixed Review: Number Systems and Exponents
- 142 · Comprehensive Mixed Review: Linear Equations and Functions
- 143 · Comprehensive Mixed Review: Geometry
- 144 · Comprehensive Mixed Review: Data and Statistics
- 146 · Applying Math to a Final Community Project
- 147 · Presenting Your Final Community Project
- 148 · Reflecting on a Year of Math 8
- 149 · Setting Math Goals for Algebra I
Plus 8 review days, not listed.
Mastery checks, practice tests & final reviewDays 151–173
Five mastery checks, six more practice tests, multi-step word problems, common mistakes, test-taking confidence, and final reviews of number systems, algebra, geometry and data. All review.
- 151 · Mastery Check: Number Systems and Exponents
- 152 · Mastery Check: Linear Equations and Slope
- 153 · Mastery Check: Functions and Systems
- 154 · Mastery Check: Geometry
- 156 · Practice Test: Number Systems and Algebra
- 157 · Practice Test: Functions and Geometry
- 158 · Practice Test: Data and Statistics
- 159 · Reviewing Test-Taking Strategies: Checking by Substitution
- 161 · Reviewing Complex Multi-Step Word Problems
- 162 · Mastery Check: Real-World Applications
- 163 · Practice Test: Comprehensive Cumulative Review
- 164 · Reviewing Common Math Mistakes
- 166 · Final Practice Test: Part 1
- 167 · Final Practice Test: Part 2
- 168 · Reviewing Test-Taking Confidence Strategies
- 169 · Reviewing Your Favorite Math Skills This Year
- 171 · Final Review: Numbers, Exponents, and Algebra
- 172 · Final Review: Functions, Systems, and Geometry
- 173 · Final Review: Data and Statistics
Plus 4 review days, not listed.
Presentation & celebrationDays 174–180
Preparing and giving a Math 8 presentation, two celebration days, a look ahead to Algebra I, and a final reflection.
- 174 · Preparing Your Math 8 Presentation
- 175 · Presenting Your Math 8 Journey
- 176 · Math 8 Celebration Day: Favorite Memories
- 177 · Math 8 Celebration Day: Skills Showcase
- 178 · Looking Ahead: Preparing for Algebra I
- 179 · Final Reflection: A Year of Math 8
- 180 · Congratulations! You Completed Math 8!
By the end of the year, your child can
- Work with square roots, integer exponents and scientific notation
- Find slope and graph and write linear equations in y = mx + b form
- Solve linear equations and systems of two equations
- Describe, compare and graph functions from tables, graphs and equations
- Use the Pythagorean theorem and transformations to solve geometry problems
- Read scatter plots and two-way tables to find patterns in data
Other 8th Grade subjects: Reading 8 · Writing 8 · Science 8 · History 8