Grade 7 — Math

Common Core Aligned

Grade 7 — Math

Grade 7 Mathematics deepens proportional reasoning, extends the number system to rational numbers, introduces two-step equations and inequalities, develops circle geometry and probability — aligned to the Common Core State Standards.

Units & Topics Covered

5 units  ·  30 topics

Ratios & Proportional Relationships

  • Identify and represent proportional relationships in tables, graphs, and equations
  • Determine the constant of proportionality (unit rate)
  • Unit rates involving fractions (e.g. miles per ½ hour)
  • Apply proportional reasoning to scale drawings
  • Solve percent problems: tax, tip, discount, markup
  • Calculate simple interest

The Number System

  • Add and subtract rational numbers using a number line
  • Multiply and divide rational numbers (fractions and decimals)
  • Apply properties of operations to add and subtract rational numbers
  • Understand that subtraction is the same as adding the additive inverse
  • Convert between fractions, decimals, and percents
  • Solve real-world problems with rational number operations

Expressions & Equations

  • Apply properties to expand and factor linear expressions
  • Understand that rewriting an expression can clarify its meaning
  • Solve two-step equations and check solutions
  • Solve real-world and mathematical problems using two-step equations
  • Write and solve two-step inequalities
  • Graph the solution set of an inequality on a number line

Geometry

  • Solve problems involving scale drawings and actual measurements
  • Draw geometric shapes with given conditions (triangles, quadrilaterals)
  • Describe the 2D cross-sections of 3D figures
  • Calculate area and circumference of circles
  • Solve real-world problems involving area, surface area, and volume
  • Identify and use supplementary, complementary, vertical, and adjacent angles

Statistics & Probability

  • Use random sampling to draw inferences about a population
  • Compare two data sets using mean and measures of variability
  • Understand probability as a number between 0 and 1
  • Develop uniform and non-uniform probability models
  • Find probabilities of compound events using tables and tree diagrams
  • Design and simulate probability experiments
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