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7th Grade Math Review Games

245 Topics
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Ratios & Proportional Relationships

7 Review Games
Unit: Ratios & Proportional Relationships

Unit Rates with Fractions

7 Review Games
Unit: Ratios & Proportional Relationships

Ratio Problems Using Tables

7 Review Games
Unit: Ratios & Proportional Relationships

Ratio Problems Using Equations

7 Review Games
Unit: Ratios & Proportional Relationships

Proportions Real World Problems

7 Review Games
Unit: Ratios & Proportional Relationships

Determining if Ratios Form a Proportion

7 Review Games
Unit: Ratios & Proportional Relationships

Proportional Reasoning

7 Review Games
Unit: Ratios & Proportional Relationships

Multi Step Ratio Problems

7 Review Games
Unit: Ratios & Proportional Relationships

Multiplying Fractions

7 Review Games
Unit: Ratios & Proportional Relationships

Multiplying Fractions Word Problems

7 Review Games
Unit: Ratios & Proportional Relationships

Dividing Fractions

7 Review Games
Unit: Ratios & Proportional Relationships

Comparing Fractions

7 Review Games
Unit: Ratios & Proportional Relationships

Comparing Fractions Word Problems

7 Review Games
Unit: Ratios & Proportional Relationships

Markups & Markdowns Percent Problems

7 Review Games
Unit: Ratios & Proportional Relationships

Tax, Tip, & Discounts Percent Problems

7 Review Games
Unit: Ratios & Proportional Relationships

Percent Error Problems

7 Review Games
Unit: Ratios & Proportional Relationships

Percent Increase Problems

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Unit: Ratios & Proportional Relationships

Percent Decrease Problems

7 Review Games
Unit: Ratios & Proportional Relationships

Computing Simple Interest

7 Review Games
Unit: Ratios & Proportional Relationships

Convert Fractions, Decimals, & Percents

7 Review Games
Unit: Ratios & Proportional Relationships

Convert Percents & Fractions

7 Review Games
Unit: Ratios & Proportional Relationships

Convert Percents & Decimals

7 Review Games
Unit: Ratios & Proportional Relationships

Convert Decimals & Fractions

7 Review Games
Unit: Ratios & Proportional Relationships

Constant of Proportionality Problems

7 Review Games
Unit: Ratios & Proportional Relationships

The Number System

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Unit: The Number System

Adding Integers

7 Review Games
Unit: The Number System

Subtracting Integers

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Unit: The Number System

Multiplying Integers

7 Review Games
Unit: The Number System

Dividing Integers

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Unit: The Number System

Integers Multiply & Divide

7 Review Games
Unit: The Number System

Adding Rational Numbers

7 Review Games
Unit: The Number System

Subtracting Rational Numbers

7 Review Games
Unit: The Number System

Multiplying Rational Numbers

7 Review Games
Unit: The Number System

Dividing Rational Numbers

7 Review Games
Unit: The Number System

Add Integers Rational Numbers

7 Review Games
Unit: The Number System

Subtract Integers Rational Numbers

7 Review Games
Unit: The Number System

Multiply Integers Rational Numbers

7 Review Games
Unit: The Number System

Divide Integers Rational Numbers

7 Review Games
Unit: The Number System

Additive Inverse with Rational Numbers

7 Review Games
Unit: The Number System

Opposite Quantities Problems

7 Review Games
Unit: The Number System

Zero as a Rational Number

7 Review Games
Unit: The Number System

Ordering Rational Numbers

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Unit: The Number System

Expressions & Equations

7 Review Games
Unit: The Number System

Algebra

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Unit: Algebra

Square Roots of Perfect Squares

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Unit: Algebra

Add Expressions Properties of Operations

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Unit: Algebra

Factor Expressions Using Properties

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Unit: Algebra

Simplify Linear Expression Rational Terms

7 Review Games
Unit: Algebra

Combine Like Terms with Rational Terms

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Unit: Algebra

Rational vs Irrational Numbers

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Unit: Algebra

Combining Like Terms

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Unit: Algebra

Simplify Expressions

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Unit: Algebra

Simplify Complex Expressions

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Unit: Algebra

Simplify Expressions with Exponents

7 Review Games
Unit: Algebra

Simplify Multi Step Expressions

7 Review Games
Unit: Algebra

Simplify Expressions with Distribution

7 Review Games
Unit: Algebra

Simplify Expressions & Combine Like Terms

7 Review Games
Unit: Algebra

Simplifying Expressions Word Problems

7 Review Games
Unit: Algebra

Rational Numbers One Step Equations

7 Review Games
Unit: Algebra

Rational Numbers Two Step Equations

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Unit: Algebra

Rational Numbers Multi Step Equations

7 Review Games
Unit: Algebra

Equations with Variables on Both Sides

7 Review Games
Unit: Algebra

Multi Step Equations with Distribution

7 Review Games
Unit: Algebra

Equations with Exponents

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Unit: Algebra

Equations with Decimals

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Unit: Algebra

Equations with Fractions

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Unit: Algebra

Equations Word Problems

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Unit: Algebra

Identify & Correct Errors in Algebra

7 Review Games
Unit: Algebra

Justify Steps in Solving Equations

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Unit: Algebra

Real World Equations

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Unit: Algebra

Real World Inequalities

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Unit: Algebra

Solutions to Inequalities in Context

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Unit: Algebra

Order of Operations Problems

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Unit: Algebra

Complex Order of Operations

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Unit: Algebra

Systems of Equations

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Unit: Algebra

Systems of Equations by Substitution

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Unit: Algebra

Systems of Equations by Elimination

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Unit: Algebra

Systems of Equations by Inspection

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Unit: Algebra

Determine Number of Solutions to a System

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Unit: Algebra

Systems of Equations Word Problems

7 Review Games
Unit: Algebra

Prop Relationships & Linear Equations

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Unit: Algebra

Proportional Relationships in Equations

7 Review Games
Unit: Algebra

Proportional Relationship in Description

7 Review Games
Unit: Algebra

Determine Slope from Two Points

7 Review Games
Unit: Algebra

Determine Slope from Equations

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Unit: Algebra

Determine Slope from Tables

7 Review Games
Unit: Algebra

Write Equations for Prop Relationships

7 Review Games
Unit: Algebra

Write Equations in Slope Intercept Form

7 Review Games
Unit: Algebra

Slope & Y Intercept from Equations

7 Review Games
Unit: Algebra

Compare Linear Relationships

7 Review Games
Unit: Algebra

Linear Relationships Real World Problems

7 Review Games
Unit: Algebra

Geometry

7 Review Games
Unit: Geometry

Pi Day Circle Geometry

7 Review Games
Unit: Geometry

Area of Complex Shapes

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Unit: Geometry

Area of 2D Shapes

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Unit: Geometry

Perimeter of 2D Shapes

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Unit: Geometry

Surface Area 3D Shapes

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Unit: Geometry

Volume of 3D Shapes

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Unit: Geometry

Properties of Quadrilaterals

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Unit: Geometry

Properties of Rectangle, Rhombus, Square

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Unit: Geometry

Angle Relationships

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Unit: Geometry

Using Facts About Supplementary Angles

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Unit: Geometry

Using Facts About Complementary Angles

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Unit: Geometry

Using Facts About Vertical Angles

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Unit: Geometry

Adjacent Angles

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Unit: Geometry

Congruence & Similarity

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Unit: Geometry

Cross Sections of 3D Shapes

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Unit: Geometry

Area of Scale Figures

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Unit: Geometry

Length in Scale Figures

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Unit: Geometry

Area of Composite Shapes

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Unit: Geometry

Circumference of Circles

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Unit: Geometry

Area of Circles

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Unit: Geometry

Circles Real World Problems

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Unit: Geometry

Surface Area of Prisms

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Unit: Geometry

Volume of Prisms & Cylinders

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Unit: Geometry

Volume Word Problems

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Unit: Geometry

Volume Word Problems

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Unit: Geometry

Surface Area Word Problems

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Unit: Geometry

Statistics & Probability

7 Review Games
Unit: Statistics & Probability

Asking Statistical Questions

7 Review Games
Unit: Statistics & Probability

Introduction to Probability

7 Review Games
Unit: Statistics & Probability

Combinations & Permutations

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Unit: Statistics & Probability

Combinations & Permutations Word Problems

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Unit: Statistics & Probability

Combinations Word Problems

7 Review Games
Unit: Statistics & Probability

Permutations Word Problems

7 Review Games
Unit: Statistics & Probability

Calculating Probability

7 Review Games
Unit: Statistics & Probability

Probability Word Problems

7 Review Games
Unit: Statistics & Probability

Determining Sample Spaces

7 Review Games
Unit: Statistics & Probability

Probability of Simple Events

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Unit: Statistics & Probability

Probability of Compound Events

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Unit: Statistics & Probability

Find Probabilities Using Organized Lists

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Unit: Statistics & Probability

Find Probabilities Using Tables

7 Review Games
Unit: Statistics & Probability

Estimate Probabilities with Simulations

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Unit: Statistics & Probability

Experimental vs Theoretical Probability

7 Review Games
Unit: Statistics & Probability

Describing Populations & Samples

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Unit: Statistics & Probability

Make Inferences from Random Samples

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Unit: Statistics & Probability

Compare Two Populations Using Statistics

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Unit: Statistics & Probability

Describing Variability in Sample Data

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Unit: Statistics & Probability

Mean, Median, & Mode from Data

7 Review Games
Unit: Statistics & Probability

Mean Word Problems

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Unit: Statistics & Probability

Statistics Word Problems

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Unit: Statistics & Probability

Compare Statistical Results

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Unit: Statistics & Probability

Mean Absolute Deviation

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Unit: Statistics & Probability

Data Interpretation & Conclusions

7 Review Games
Unit: Statistics & Probability

Measures of Center & Spread

7 Review Games
Unit: Statistics & Probability

Probability Word Problems

7 Review Games
Unit: Statistics & Probability

Real World Applications

7 Review Games
Unit: Real World Applications

Real World Ratios Problems

7 Review Games
Unit: Real World Applications

Real World Percents Problems

7 Review Games
Unit: Real World Applications

Real World Tax & Discounts Problems

7 Review Games
Unit: Real World Applications

Real World Unit Rates Problems

7 Review Games
Unit: Real World Applications

Real World Proportional Relationships

7 Review Games
Unit: Real World Applications

Real World Rational Numbers Problems

7 Review Games
Unit: Real World Applications

Real World Multi Step Equations Problems

7 Review Games
Unit: Real World Applications

Real World Inequalities Problems

7 Review Games
Unit: Real World Applications

Real World Area & Perimeter Problems

7 Review Games
Unit: Real World Applications

Real World Circles Problems

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Unit: Real World Applications

Real World Volume Problems

7 Review Games
Unit: Real World Applications

Real World Surface Area Problems

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Unit: Real World Applications

Real World Linear Equations Problems

7 Review Games
Unit: Real World Applications

Real World Statistics & Data Problems

7 Review Games
Unit: Real World Applications

Real World Probability Problems

7 Review Games
Unit: Real World Applications

Word Problems

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Unit: Word Problems

Ratios Word Problems

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Unit: Word Problems

Percentages Word Problems

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Unit: Word Problems

Tax & Discounts Word Problems

7 Review Games
Unit: Word Problems

Unit Rates Word Problems

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Unit: Word Problems

Proportional Relationships Word Problems

7 Review Games
Unit: Word Problems

Rational Numbers Word Problems

7 Review Games
Unit: Word Problems

Multi Step Equations Word Problems

7 Review Games
Unit: Word Problems

Inequalities Word Problems

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Unit: Word Problems

Area & Perimeter Word Problems

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Unit: Word Problems

Circles Word Problems

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Unit: Word Problems

Algebraic Reasoning & Extensions

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Unit: Algebraic Reasoning & Extensions

Model Real Problems with Equations

7 Review Games
Unit: Algebraic Reasoning & Extensions

Model Real Problems with Inequalities

7 Review Games
Unit: Algebraic Reasoning & Extensions

Model Proportional Relationships

7 Review Games
Unit: Algebraic Reasoning & Extensions

Compare Proportional & Non Relationships

7 Review Games
Unit: Algebraic Reasoning & Extensions

Linear Relationships from Equations

7 Review Games
Unit: Algebraic Reasoning & Extensions

Use Equations for Dependent Relationships

7 Review Games
Unit: Algebraic Reasoning & Extensions

Slope & Rate of Change Problems

7 Review Games
Unit: Algebraic Reasoning & Extensions

Explain Why Equations Are Equivalent

7 Review Games
Unit: Algebraic Reasoning & Extensions

Constants & Coefficients in Context

7 Review Games
Unit: Algebraic Reasoning & Extensions

Rewrite Equations in Different Forms

7 Review Games
Unit: Algebraic Reasoning & Extensions

Determine if a Point Lies on a Line

7 Review Games
Unit: Algebraic Reasoning & Extensions

Y Intercept as Initial Value

7 Review Games
Unit: Algebraic Reasoning & Extensions

Estimate Solutions in Real World

7 Review Games
Unit: Algebraic Reasoning & Extensions

Properties of Operations in Context

7 Review Games
Unit: Algebraic Reasoning & Extensions

Solve Puzzles Using Logical Reasoning

7 Review Games
Unit: Algebraic Reasoning & Extensions

Patterns with Algebraic Expressions

7 Review Games
Unit: Algebraic Reasoning & Extensions

Equivalent Expressions in Context

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Unit: Algebraic Reasoning & Extensions

Compare Proportional Relationships

7 Review Games
Unit: Algebraic Reasoning & Extensions

Find the Better Buy with Unit Rates

7 Review Games
Unit: Algebraic Reasoning & Extensions

Evaluate Expressions with Rational Number

7 Review Games
Unit: Algebraic Reasoning & Extensions

Steps in Simplifying Expressions

7 Review Games
Unit: Algebraic Reasoning & Extensions

Analyze Errors in Solving Equations

7 Review Games
Unit: Algebraic Reasoning & Extensions

Create & Solve Real World Formulas

7 Review Games
Unit: Algebraic Reasoning & Extensions

Relationship of Quantities with Variables

7 Review Games
Unit: Algebraic Reasoning & Extensions

Cross Curricular Math Applications

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Unit: Cross Curricular Math Applications

Math Problems in Science

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Unit: Cross Curricular Math Applications

Math Problems in Physics

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Unit: Cross Curricular Math Applications

Math Problems in Chemistry

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Unit: Cross Curricular Math Applications

Math Problems in Biology

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Unit: Cross Curricular Math Applications

Math Problems in Environmental Studies

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Unit: Cross Curricular Math Applications

Math Problems in Health & Medicine

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Unit: Cross Curricular Math Applications

Math Problems in Physical Education

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Unit: Cross Curricular Math Applications

Math Problems in Sports Analysis

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Unit: Cross Curricular Math Applications

Math Problems in Geography

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Unit: Cross Curricular Math Applications

Math Problems in History

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Unit: Cross Curricular Math Applications

Math Problems in Economics

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Unit: Cross Curricular Math Applications

Math Problems in Finance

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Unit: Cross Curricular Math Applications

Math Problems in Business

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Unit: Cross Curricular Math Applications

Math Problems in Entrepreneurship

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Unit: Cross Curricular Math Applications

Math Problems in Marketing

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Unit: Cross Curricular Math Applications

Math Problems in Travel Planning

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Unit: Cross Curricular Math Applications

Math Problems in Construction

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Unit: Cross Curricular Math Applications

Math Problems in Architecture

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Unit: Cross Curricular Math Applications

Math Problems in Engineering

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Unit: Cross Curricular Math Applications

Math Problems in Art & Design

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Unit: Cross Curricular Math Applications

Math Problems in Video Game Design

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Unit: Cross Curricular Math Applications

Math Problems in Data Science

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Unit: Cross Curricular Math Applications

Math Problems in Space Science

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Unit: Cross Curricular Math Applications

Math Problems in Meteorology

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Unit: Cross Curricular Math Applications

Math Problems in Cooking & Nutrition

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Unit: Cross Curricular Math Applications

Math Problems in Music

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Unit: Cross Curricular Math Applications

Math Problems in Film & Media

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Unit: Cross Curricular Math Applications

Math Problems in Coding & Algorithms

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Unit: Cross Curricular Math Applications

Math Problems in Robotics

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Unit: Cross Curricular Math Applications

Math Problems in Transportation

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Unit: Cross Curricular Math Applications

Math Problems in Sports

7 Review Games
Unit: Cross Curricular Math Applications

Financial Literacy

7 Review Games
Unit: Financial Literacy

Calculate Profit & Loss

7 Review Games
Unit: Financial Literacy

Understand Loans with Equations

7 Review Games
Unit: Financial Literacy

Divide Money Fairly with Fractions

7 Review Games
Unit: Financial Literacy

Financial Decisions Word Problems

7 Review Games
Unit: Financial Literacy

Currency Exchange

7 Review Games
Unit: Financial Literacy

Simple Interest Problems

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Unit: Financial Literacy

Compound Interest

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Unit: Financial Literacy

Compare Prices with Unit Rates

7 Review Games
Unit: Financial Literacy

Estimating Costs

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Unit: Financial Literacy

Balancing Budgets

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Unit: Financial Literacy

Calculating Income

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Unit: Financial Literacy

Estimation Word Problems

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Unit: Financial Literacy

Compound Interest Word Problems

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Unit: Financial Literacy

Financial Literacy Word Problems

7 Review Games
Unit: Financial Literacy

How can 7th Grade Math review stay engaging while managing stronger peer dynamics and uneven willingness to participate without shifting attention away from mathematical thinking and problem solving?

With seventh graders, I’d build engagement around having something interesting to figure out, not simply around being fast enough to win. Students at this age can compare strategies, challenge an explanation, analyze a mistake, and make decisions together. Those are great ingredients for an engaging review because the excitement and the mathematics can actually support each other.

The tricky part is the peer dynamic. Put four seventh graders on a team with one problem and you may get four students thinking—or one confident student solving while everyone else watches. I like structures that give students a little individual thinking time before the social part begins. Everyone might solve first, choose a strategy, sketch a representation, or decide whether they agree with a worked solution. Then the team compares thinking and commits to an answer.

That also gives quieter or less-confident students a way into the conversation without requiring them to immediately perform in front of their peers. Competition can certainly add energy, but speed shouldn’t become the definition of success. A team can earn progress for explaining why a method works, finding an error, defending a strategy, or deciding which of two solutions is more efficient.

For seventh graders, I’d also pay attention to tone. Games that feel age-appropriate and give students some autonomy tend to work better than activities that make them feel as though they’re being entertained like younger children. Give them meaningful choices, worthwhile problems, and enough structure that the mathematical thinking stays distributed across the group.

How can question-based middle school Math review use retrieval practice without reducing mathematics to memorizing procedures?

Retrieval practice simply means asking students to bring previously learned knowledge back to mind instead of always looking it up or being shown it again. That can be extremely useful in math, but what students retrieve doesn’t have to stop at a memorized rule.

A seventh grader might retrieve a number fact, vocabulary term, property, formula, procedure, or previously learned strategy. That knowledge gives the student something to work with. The next question is whether the student can use it appropriately.

For example, instead of ending with “Solve this proportion,” follow it with “How do you know this relationship is proportional?” or “Show the relationship another way.” After a student retrieves a procedure for operating with rational numbers, ask for an estimate first, a representation, or an explanation of why the sign of the answer makes sense.

Research on retrieval practice supports actively recalling previously learned information as a way of strengthening learning and later retention. Research on transfer also suggests an important caution: remembering knowledge and applying it flexibly are related goals, but they aren’t identical. So I’d use retrieval as the starting point for mathematical thinking, not as the finish line.

Procedural knowledge isn’t shallow by definition, either. A fluent procedure can free students to tackle more demanding problems. What I want to know is whether they can retrieve that procedure, recognize when it fits, use it accurately, and connect it to the mathematics underneath it.

Which review formats best fit the mix of procedural fluency, conceptual reasoning, representations, and multi-step problems in middle school Math?

I wouldn’t choose the review game first. I’d look at the mathematics first and ask, “What do I actually need students to do here?” Different kinds of math need different amounts of time, explanation, representation, and discussion.

  • Quick-response formats can work well for facts, vocabulary, mental computation, or a procedure students already understand.
  • Individual solve-then-check formats work well when students need procedural practice and you want everyone completing the mathematics.
  • Whiteboards or visual-response formats are useful for graphs, models, equations, proportional relationships, or other representations because you can see more than a final answer.
  • Partner comparison is especially useful when two strategies can reasonably be compared for efficiency or clarity.
  • Error-analysis rounds work well when students need to locate and explain a mistake rather than simply calculate an answer.
  • Longer team challenges can fit multi-step problems when students have defined responsibilities and enough time to reason.

I’d be particularly careful with team games in seventh grade. They can create wonderful mathematical discussion, but they can also hide participation. If the same confident student calculates, explains, and answers every question, the team may look successful while three students get very little practice.

The best format is the one that matches both the mathematical demand and the participation goal. Sometimes that means everyone solves independently before a team discusses. Sometimes it means comparing representations instead of racing for an answer. The mechanics should serve the mathematics, not determine it.

How can 7th Grade Math review help teachers identify which skills students still need to practice?

A wrong answer tells you that something went wrong. It doesn’t necessarily tell you what went wrong.

During review, I’d look for patterns across several questions rather than reacting too strongly to one mistake. A student who misses three problems involving the same operation may need more fluency practice. A student who calculates accurately but consistently chooses the wrong operation may have a problem with interpreting the situation rather than performing the procedure. Another student may understand each individual step but lose track when those steps have to be organized inside a longer problem.

I’d sort the evidence into questions such as:

  • Does the student know the needed facts or procedure?
  • Can the student recognize when that procedure applies?
  • Does the student understand the concept or relationship underneath it?
  • Can the student interpret the representation?
  • Can the student organize and sustain a multi-step solution?
  • Is this a recurring pattern or simply a calculation slip?

That distinction matters because the instructional response should be different. Weak fluency may call for more practice. A representation problem may call for seeing the idea another way. One procedural mistake may need a targeted correction. A persistent conceptual misunderstanding may deserve actual reteaching.

That’s where review becomes much more useful than a score. You’re not only finding out how many questions students missed. You’re finding out what kind of help they need next.

How can 7th Grade Math review keep every student actively thinking while managing stronger peer dynamics and uneven willingness to participate, rather than relying on the fastest or most confident responders?

I’d separate thinking from speaking first. They’re not the same thing, especially in seventh grade.

If I ask a question and immediately take the first raised hand, I learn a lot about the student who answers and very little about everyone else. A better review structure gives every student something mathematical to do before anyone takes over the conversation.

That might mean everyone solves before the team discusses, everyone writes a strategy before choosing a team answer, or everyone holds up a whiteboard at the same time. Partners can compare methods before a whole-group response. Roles can rotate so the person explaining isn’t automatically the strongest mathematician in the group.

Participation can vary, too. One student might calculate while another checks reasonableness. Another might identify the first incorrect step in a worked solution or choose the representation that best matches a situation. Those are all legitimate forms of mathematical engagement.

I also wouldn’t require constant public explanation from every student just to prove participation. A seventh grader who is uncomfortable speaking in front of classmates may still be doing excellent mathematical thinking. Written reasoning, partner discussion, simultaneous responses, and private revisions can give you evidence without making every mistake a public event.

The goal is simple: when the answer is finally revealed or discussed, every student should already have had a reason to think.

How can teachers keep middle school Math review low-prep without falling back on shallow drill or speed-only questions?

Low-prep and low-thinking are completely different things. I’d simplify the routine before I simplified the mathematics.

A familiar review format can be reused over and over while the questions change. That saves time because students already understand the mechanics, expectations, teams, or response system. Prepared question sets and cumulative question banks can do the same thing: teacher energy goes into choosing worthwhile mathematics instead of rebuilding an activity every time.

One good problem can also do much more work than we sometimes give it credit for. After students solve it, try one or two quick follow-ups:

  • Explain why your method works.
  • Represent the answer another way.
  • Which step would change if this value changed?
  • Compare your strategy with this one.
  • Here’s an incorrect solution. Find the first error.
  • How could you check whether your answer is reasonable?

Those prompts add very little preparation but change the cognitive demand considerably.

You can also reuse a mathematical structure while changing the values, context, representation, or question being asked. The activity doesn’t need elaborate rules to be engaging. Seventh graders can handle a straightforward routine if the challenge inside it is worthwhile.

I’d spend the limited prep time on the quality and variety of the questions. The game mechanics can be the easy part.

How can 7th Grade Math review reveal misconceptions before a test or assessment?

To uncover misconceptions, you need questions that reveal how students are thinking, not only whether their final answer is correct.

That matters because some wrong answers are simple slips, while others come from a mathematical idea the student has misunderstood. Even a correct answer can occasionally hide faulty reasoning if the student happened to reach it through an invalid method.

I like diagnostic prompts that make the reasoning harder to hide. Give students two worked solutions and ask which one is valid. Show an incorrect solution and ask them to identify the first step where the reasoning breaks down. Ask them to explain why an operation fits the situation, or represent the same relationship with an equation, table, graph, or diagram when appropriate.

Then watch for repeated patterns. Does a student consistently reverse a relationship? Apply a familiar rule in situations where it doesn’t belong? Treat equivalent forms as though they represent different quantities? Misread the same type of graph or model? Repeat the same structural mistake even when the numbers change?

Those patterns are much more informative than a collection of isolated red Xs.

Before an assessment, I’d rather discover that ten students share the same misconception while there’s still time to address it. Review gives us that opportunity—but only if the questions let students show enough of their thinking for us to see it.

How can 7th Grade Math review include reasoning and application instead of only answer recall?

You don’t have to eliminate calculation or procedural practice to make review more thoughtful. Often, the easiest move is simply to add one more layer after the answer.

A seventh-grade review sequence might look like this:

  • Calculate it, then explain why the procedure works.
  • Solve it, then represent the relationship another way.
  • Choose a strategy, then justify why it fits.
  • Compare two correct methods and decide which is more efficient for this problem.
  • Find an error and explain how to correct it.
  • Solve the problem and decide whether the answer is reasonable.
  • Apply the same mathematical idea when the context or representation changes.

That progression is especially useful with seventh graders because they’re increasingly capable of discussing mathematical choices rather than only following a demonstrated method. “What did you get?” can become “How did you approach it?” and eventually “Why was that approach a good choice?”

For multi-step problems, I’d also resist rescuing students too quickly. Give them room to decide what information matters, what should happen first, and how they’ll know whether their result makes sense.

Fluency still matters. In fact, fluent access to useful procedures and facts can make more demanding reasoning easier. The goal is to build from that fluency so students can use mathematics when the problem doesn’t announce exactly what to do.

How should 7th Grade Math review balance procedural fluency, conceptual understanding, and multi-step reasoning?

I’d think of a complete math review as a mixture of complementary kinds of mathematical proficiency, not a choice between “skills” and “thinking.”

Students need procedural fluency because struggling through every calculation can consume attention that they need for a larger problem. But mathematical fluency means more than speed. The National Council of Teachers of Mathematics describes procedural fluency in terms that include accuracy, efficiency, flexibility, and appropriate strategy use.

Students also need conceptual understanding so they know what those procedures mean and can recognize when they apply. Representations—such as diagrams, graphs, tables, equations, or number lines—can help reveal whether students understand relationships rather than simply reproduce steps.

Then I’d include opportunities for strategy choice, explanation, application, error analysis, and multi-step reasoning. These show whether students can coordinate what they know when a problem is less predictable.

The exact balance should depend on what students have learned and what your evidence says they need. A class with shaky operations with rational numbers may temporarily need more fluency work. A class that calculates accurately but struggles to choose a method may need more mixed application and strategy decisions.

The important part is not letting one successful procedure stand in for mathematical understanding. The National Academies describes mathematical proficiency as intertwined strands that include conceptual understanding, procedural fluency, strategic competence, and adaptive reasoning. Seventh-grade review should give students opportunities to use those abilities together.

How can middle school Math review-game responses reveal whether errors come from procedures, concepts, representations, or multi-step reasoning?

The kind of response you ask for determines what you can learn from it. A final answer gives useful information—but only a small slice of the student's mathematical thinking.

  • Final answer: Did the student reach the correct result?
  • Written work: What procedure or sequence of steps did the student use?
  • Representation: Can the student express the relationship with an appropriate model, graph, table, diagram, or equation?
  • Explanation: Does the student understand why the method makes sense?
  • Strategy comparison: Can the student recognize different valid approaches and judge when they’re useful?
  • First-wrong-step analysis: Can the student locate where a solution stopped making mathematical sense?
  • Revision: Can the student use feedback or new information to repair the solution?

This is why a review game can function as formative assessment rather than simply a fun way to count correct answers. NCTM emphasizes eliciting evidence of student thinking and using that evidence to make instructional decisions.

You don’t need every response type on every question. I’d vary them strategically. Quick answers can keep the review moving, while selected questions ask students to show work, explain, model, compare, or revise.

By the end, you have much richer evidence: not just who was right or wrong, but where the mathematics is breaking down and what kind of response might help next.

How can feedback during 7th Grade Math review help students understand procedural, conceptual, or reasoning errors?

Useful feedback should help a student figure out what needs to change next. “Incorrect” identifies a problem; it doesn’t diagnose it.

I’d match the feedback to the type of error. A calculation slip may only need, “Check that multiplication.” A procedural mistake might need, “Which step needs revision?” A conceptual error may deserve, “Why does that operation fit this relationship?” If a representation is the problem, ask, “What does this part of the model represent?”

For multi-step reasoning, I especially like prompts that send students back into their own work:

  • Where did the solution first change direction?
  • What information were you using at this step?
  • Does your answer make sense in the original situation?
  • What would you change if you tried this again?

Seventh graders are increasingly capable of diagnosing and revising their own work, so feedback doesn’t always need to supply the correction. Sometimes a carefully chosen question is more useful because it tells the student where to look while leaving the mathematical repair to them.

At the same time, review needs momentum. I wouldn’t turn every mistake into a five-minute mini-lesson. Correct a simple slip quickly, pause for a misconception that several students share, and save a deeper reteaching issue for when it can receive the time it deserves.

Feedback works best when students actually get a chance to use it—by correcting, explaining, retrying, or solving a related problem.

How closely should 7th Grade Math review match the cognitive demands of the real assessment?

Review should prepare students for the kind of thinking the assessment requires, but it doesn’t need to look like the assessment.

If students will have to choose a strategy independently, then at least some review questions should stop telling them which method to use. If they’ll interpret graphs, tables, equations, or other representations, review should ask them to make sense of those representations. If the assessment includes multi-step application, students need practice deciding how to organize a multi-step solution—not only practicing each component skill separately.

The same applies to explanation and reasoning. Students who will be expected to justify an answer need opportunities to explain mathematical decisions before assessment day.

That doesn’t mean your review has to become a practice test. You can still use teams, games, movement, partner discussion, whiteboards, or other engaging structures. In fact, discussion can be valuable preparation because students get to compare approaches before they’re expected to make those decisions independently.

I’d just be careful not to let the game remove the very cognitive demand students will later need. If the assessment requires students to decide which operation, representation, or strategy fits, but the review always announces the method in advance, students are practicing a different task.

Match the thinking more closely than the appearance.

When should 7th Grade Math review mix topics, skills, or question types instead of practicing one at a time?

Both blocked and mixed practice have a place. The useful question is what students are ready to practice right now.

Blocked practice keeps students working on the same skill or problem type repeatedly. I’d use it when a procedure is still new, when students are repairing one specific error, or when a concept is unstable enough that constantly switching tasks would add unnecessary difficulty. Sometimes students simply need several opportunities to get a new process under control.

Mixed or interleaved practice removes an important clue: the problem no longer tells students what kind of problem it is simply because of where it appears on the worksheet. Now students may have to decide which operation, strategy, representation, or previously learned idea applies.

That makes mixed review especially useful when seventh graders are ready to:

  • distinguish between similar problem types;
  • choose strategies independently;
  • retrieve learning from earlier units;
  • switch among representations;
  • prepare for cumulative assessments;
  • apply skills when the method isn’t announced in advance.

Research in mathematics has found benefits from interleaved practice, including a classroom study with seventh graders in which students later performed better after interleaved rather than blocked practice. One likely benefit is that students must learn to identify the type of problem and select an appropriate strategy instead of repeatedly applying the strategy they were just given.

I wouldn’t interpret that as “mixed is always better.” If students don’t yet understand the individual skills, some focused practice may be exactly what they need. A useful progression is often learn it, stabilize it, then mix it. As seventh graders become more secure, mixed practice can gradually hand more of the decision-making back to them.

Sources & Further Reading