Math Ladder · Middle school · Grade 7

Grade 7

Proportional relationships, all four operations with signed numbers, two-step equations, scale drawings, circles and probability.

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50 topics in 9 units. Builds on Grade 6. Leads to Pre-Algebra (Grade 8). Not sure this is the right course? Find your rung.

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Unit 1 Proportional Relationships

7 topics

Recognize proportional relationships in tables, graphs and equations, and solve proportions.

  1. Unit Rates with Fractions
  2. Is It Proportional?
  3. Proportional Graphs
  4. The Constant of Proportionality
  5. Writing y = kx
  6. What a Point on the Graph Means
  7. Solving Proportions

Unit 2 Percent Problems

5 topics

Solve percent problems about change, discounts, tax, interest and error.

  1. Percent Increase and Decrease
  2. Markups, Discounts and Tax
  3. Simple Interest
  4. Percent Error
  5. Scale Drawings

Unit 3 Adding and Subtracting Signed Numbers

5 topics

See adding as moving on a number line and subtracting as adding the opposite.

  1. Opposites Make Zero
  2. Adding Integers
  3. Subtracting Integers
  4. Distance Between Two Numbers
  5. Adding and Subtracting Rational Numbers

Unit 4 Multiplying and Dividing Signed Numbers

5 topics

Learn why the sign rules work and convert fractions to decimals.

  1. Multiplying Integers
  2. Dividing Integers
  3. Multiplying and Dividing Rational Numbers
  4. Terminating and Repeating Decimals
  5. All Four Operations with Signed Numbers

Unit 5 Expressions

4 topics

Combine like terms, expand and factor linear expressions, and rewrite expressions to show meaning.

  1. Combining Like Terms
  2. Expanding and Factoring Linear Expressions
  3. Adding and Subtracting Expressions
  4. Rewriting Expressions to See Meaning

Unit 6 Equations and Inequalities

6 topics

Solve two-step equations and inequalities, and use them to solve problems.

  1. One-Step Equations with Signed Numbers
  2. Two-Step Equations
  3. Equations Like p(x + q) = r
  4. Word Problems with Two-Step Equations
  5. Two-Step Inequalities
  6. Multistep Problems with Rational Numbers

Unit 7 Angles, Circles and Solids

8 topics

Use angle relationships, build triangles, work with circles, and find area, surface area and volume.

  1. Complementary, Supplementary and Vertical Angles
  2. Finding Unknown Angles with Equations
  3. Which Triangles Can Exist?
  4. Circumference and Pi
  5. Area of a Circle
  6. Slicing Solids
  7. Area and Surface Area Problems
  8. Volume of Prisms

Unit 8 Sampling and Comparing Data

3 topics

Use random samples to draw conclusions and compare two groups.

  1. Random Samples
  2. Making Predictions from Samples
  3. Comparing Two Groups

Unit 9 Probability

7 topics

Measure chance from 0 to 1, compare models with experiments, and find probabilities of compound events.

  1. Probability from 0 to 1
  2. Theoretical Probability
  3. Experimental Probability
  4. Comparing Models with Experiments
  5. Sample Spaces with Lists, Tables and Trees
  6. Probability of Compound Events
  7. Simulating Chance Events
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