Our Curriculum › Math › 7th Grade
Math 7
A full year of 7th-grade math: proportional relationships and percent, working with positive and negative fractions and decimals, two-step equations and inequalities, circles, probability, geometry and sampling, with long stretches of review and projects.
180 lessons
One a day for a school year
10 units
Each opens to its lessons
3 full practice tests
Plus mastery checks and final reviews
Standards
Common Core Grade 7 math
What's taught, unit by unit
Proportions, percent & rational numbersDays 1–15
Unit rates with fractions, proportional relationships as tables, graphs and equations, simple interest, markup, discount, tax and tip, adding, subtracting, multiplying and dividing negative numbers, then two-step equations and inequalities.
- 1 · Welcome to Math 7: Unit Rates with Complex Fractions
- 2 · Identifying Proportional Relationships
- 3 · Graphing Proportional Relationships
- 4 · Writing Equations for Proportional Relationships
- 6 · Multistep Ratio Problems: Simple Interest
- 7 · Multistep Percent Problems: Markup and Discount
- 8 · Multistep Percent Problems: Tax and Tip
- 9 · Adding and Subtracting All Rational Numbers
- 11 · Multiplying and Dividing Rational Numbers
- 12 · Two-Step Equations
- 13 · Two-Step Equations with Rational Numbers
- 14 · Two-Step Inequalities
Plus 3 review days, not listed.
Circles, probability & scale drawingsDays 16–25
Radius, diameter, circumference and area of circles, then probability: simple and compound events, sample spaces, tree diagrams, theoretical versus experimental results, and scale drawings.
- 16 · Circles: Radius, Diameter, and Circumference
- 17 · Area of a Circle
- 18 · Introduction to Probability
- 19 · Theoretical vs. Experimental Probability
- 21 · Probability of Compound Events
- 22 · Sample Space and Organized Lists
- 23 · Using Tree Diagrams for Probability
- 24 · Scale Drawings and Scale Factor
Plus 2 review days, not listed.
Angles, triangles & 3D solidsDays 26–35
Cross-sections of solids, complementary, supplementary and vertical angles with equations for unknown angles, building triangles from given sides, and surface area and volume of prisms in real-world problems.
- 26 · Cross-Sections of 3D Figures
- 27 · Angle Relationships: Complementary and Supplementary
- 28 · Angle Relationships: Vertical and Adjacent Angles
- 29 · Solving for Unknown Angles with Equations
- 31 · Constructing Triangles
- 32 · Surface Area of Prisms
- 33 · Volume of Prisms
- 34 · Solving Real-World Area and Volume Problems
Plus 2 review days, not listed.
Random samples & algebraic expressionsDays 36–45
Random sampling, using a sample to predict about a population, and comparing two data sets, then simplifying expressions, the distributive property with rational numbers, and writing expressions for word problems.
- 36 · Understanding Random Sampling
- 37 · Using Samples to Make Predictions
- 38 · Comparing Two Data Distributions
- 39 · Drawing Informal Comparative Inferences
- 41 · Simplifying Algebraic Expressions
- 42 · The Distributive Property with Rational Numbers
- 43 · Writing Expressions for Word Problems
- 44 · Multistep Real-World Problems
Plus 2 review days, not listed.
Rates, equations, inequalities & data displaysDays 46–60
Proportional versus non-proportional relationships, rate of change, percent increase and decrease, equations with parentheses, two-step and compound inequalities, tree-diagram probability and simulation, circle graphs, and box plots.
- 46 · Comparing Proportional and Non-Proportional Relationships
- 47 · Interpreting Rate of Change in Context
- 48 · Solving Percent Increase and Decrease
- 49 · Comparing Rates from Different Representations
- 51 · Two-Step Equations: Real-World Scenarios
- 52 · Equations with the Distributive Property
- 53 · Solving Two-Step Inequalities (with a Sign Flip)
- 54 · Compound Inequalities
- 56 · Finding Probability of Compound Events with Tree Diagrams
- 57 · Simulating Compound Events
- 58 · Constructing Circle Graphs (Pie Charts)
- 59 · Interpreting Box Plots
Plus 3 review days, not listed.
Mixed review & problem-solving strategiesDays 61–70
Mixed reviews of rational numbers, proportions, geometry, probability and statistics, plus multi-step word problems, finding and fixing common errors, explaining your reasoning, and choosing a strategy.
- 61 · Mixed Review: Rational Numbers and Equations
- 62 · Mixed Review: Proportional Relationships and Percent
- 63 · Mixed Review: Geometry (Circles, Angles, 3D Figures)
- 64 · Mixed Review: Probability and Statistics
- 66 · Multi-Step Word Problems with Multiple Operations
- 67 · Analyzing and Correcting Common Math Errors
- 68 · Explaining Mathematical Reasoning
- 69 · Choosing the Best Strategy for a Problem
Plus 2 review days, not listed.
Second pass: similar figures, prisms & samplingDays 71–114
Similar figures and indirect measurement, interest and budgets, semicircle and track shapes, triangles from angles, proportional relationships again, volume and surface area of triangular prisms, composite areas, sampling variability and scale models. Several topics repeat earlier ones.
- 71 · Similar Figures and Proportions
- 72 · Indirect Measurement Using Similar Figures
- 73 · Interest Over Multiple Years
- 74 · Budgeting with Percent
- 76 · Unit Rates with Complex Fractions
- 77 · Finding the Area of a Semicircle or Quarter Circle
- 78 · Finding the Perimeter of Shapes with Circle Parts
- 79 · Real-World Composite Figures: Track and Field Design
- 81 · Halfway Milestone: Skills Portfolio
- 82 · Mixed Operations with Rational Numbers
- 83 · Working Backward: Finding Diameter and Radius from Circumference
- 84 · Triangles from Given Angles
- 86 · Constructing Triangles from Two Angles and a Side (ASA)
- 87 · Unique Triangle, Many Triangles, or No Triangle?
- 88 · Cross-Sections of Pyramids and Cones
- 89 · Cross-Sections Sliced at an Angle
- 91 · Comparing Proportional Relationships Across Representations
- 92 · Finding Constant of Proportionality from a Table
- 93 · Applications of Volume: Real-World Containers
- 94 · Applications of Surface Area: Wrapping and Painting
- 96 · Composite Figures: Area
- 97 · Composite Figures with Circles
- 98 · Finding the Area of Irregular Shapes
- 99 · Real-World Composite Figure Problems
- 101 · Surface Area of Triangular Prisms
- 102 · Volume of Triangular Prisms
- 103 · Real-World Prism Problems
- 104 · How Scaling Affects Volume and Surface Area
- 106 · Estimating a Population from a Random Sample
- 107 · Sampling Variability: Taking Multiple Random Samples
- 108 · Comparing Two Populations: Measures of Center
- 109 · Comparing Two Populations: Is the Difference Meaningful?
- 111 · Ratios of Similar Figures: Perimeter
- 112 · Ratios of Similar Figures: Area
- 113 · Using Scale Models
- 114 · Creating a Scale Model or Map
Plus 8 review days, not listed.
Review & real-world projectsDays 115–150
Reviews of integers, equations, ratios, statistics and probability; proportional reasoning with recipes, maps and speed; a financial plan; a room-design project with material costs; a community project; and a reflection on the year.
- 116 · Reviewing Integer Operations
- 117 · Order of Operations with All Rational Numbers
- 118 · Solving Multi-Step Equations Review
- 119 · Applying Math Skills to a Design Challenge
- 121 · Reviewing Ratios, Rates, and Proportions
- 122 · Applying Proportional Reasoning to Recipes
- 123 · Applying Proportional Reasoning to Maps and Travel
- 124 · Applying Proportional Reasoning to Speed and Time
- 126 · Reviewing Statistics: Mean, Median, Mode, Range
- 127 · Reviewing Probability Concepts
- 128 · Reviewing Geometry: Circles and 3D Figures
- 129 · Applying Data Skills to a Real Survey
- 131 · Reviewing Percent Applications
- 132 · Applying Percent to Financial Literacy
- 133 · Comparing Loan and Savings Options
- 134 · Creating a Simple Financial Plan
- 136 · Reviewing Geometry Applications
- 137 · Designing a Room Layout with Math
- 138 · Calculating Material Costs for a Design Project
- 139 · Presenting Your Design Project
- 141 · Mixed Review: Algebra Skills
- 142 · Mixed Review: Number Systems
- 143 · Mixed Review: Geometry Skills
- 144 · Mixed Review: Data and Probability
- 146 · Applying Math to a Community Project
- 147 · Analyzing Real Data from a Community Issue
- 148 · Presenting Your Community Project's Math
- 149 · Reflecting on a Year of Math 7
Plus 8 review days, not listed.
Deepening, mastery checks & practice testsDays 151–173
Revisiting multi-step problems, independent events, nets, equations and inequalities in context and simulations, then mastery checks, three practice tests with test-taking strategies, and final reviews. Almost all review.
- 151 · Solving Multi-Variable Real-World Problems
- 152 · Deepening Probability: Independent Events
- 153 · Deepening Geometry: Constructing Nets of 3D Figures
- 154 · Using Nets to Verify Surface Area
- 156 · Deepening Algebra: Two-Step Equations in Real-World Contexts
- 157 · Deepening Algebra: Two-Step Inequalities in Real-World Contexts
- 158 · Deepening Probability: Compound Events and Tree Diagrams
- 159 · Deepening Probability: Estimating Probability Through Simulation
- 161 · Reviewing Complex Multi-Step Word Problems
- 162 · Mastery Check: Rational Numbers and Equations
- 163 · Mastery Check: Geometry and Measurement
- 164 · Mastery Check: Statistics and Probability
- 166 · Practice Test: Number Systems and Algebra
- 167 · Practice Test: Geometry and Measurement
- 168 · Practice Test: Statistics and Probability
- 169 · Reviewing Test-Taking Strategies
- 171 · Final Review: Numbers and Algebra
- 172 · Final Review: Geometry and Measurement
- 173 · Final Review: Statistics and Probability
Plus 4 review days, not listed.
Presentation & celebrationDays 174–180
Preparing and giving a Math 7 presentation, two celebration days, a preview of Math 8, and a final written reflection.
- 174 · Preparing Your Math 7 Presentation
- 175 · Presenting Your Math 7 Journey
- 176 · Math 7 Celebration Day: Favorite Memories
- 177 · Math 7 Celebration Day: Skills Showcase
- 178 · Looking Ahead: Preparing for Math 8
- 179 · Final Reflection: A Year of Math 7
- 180 · Congratulations! You Completed Math 7!
By the end of the year, your child can
- Solve proportion, percent, tax, tip, markup and interest problems
- Add, subtract, multiply and divide positive and negative fractions and decimals
- Solve two-step equations and inequalities, including ones with parentheses
- Find the circumference and area of circles and the surface area and volume of prisms
- Find probabilities of simple and compound events using lists, tree diagrams and simulations
- Use random samples to make predictions and compare two sets of data
Other 7th Grade subjects: Reading 7 · Writing 7 · Science 7 · History 7