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Math Β· Grade 7 Math Β· Unit 5

Unit 5: Rational Number Arithmetic

Students perform operations on rational numbers, which are all numbers that can be written as a positive or negative fraction.

Worksheets

Every sheet has an answer key. Free to print, no login.

What this unit covers

A Adding and Subtracting Rational Numbers Β· 7 lessons
Goals
  • Apply addition and subtraction of signed numbers to represent situations and solve problems.
  • Calculate the sum or difference of two rational numbers.
Lessons
  1. Interpreting Negative Numbers
  2. Changing Temperatures
  3. Changing Elevation
  4. Money and Debts
  5. Representing Subtraction
  6. Finding Differences
  7. Adding and Subtracting to Solve Problems
B Multiplying and Dividing Rational Numbers Β· 5 lessons
Goals
  • Apply multiplication and division of signed numbers to represent situations and solve problems.
  • Calculate the product or quotient of two rational numbers.
Lessons
  1. Multiplying Rational Numbers (Part 1)
  2. Multiplying Rational Numbers (Part 2)
  3. Multiply! (Optional)
  4. Dividing Rational Numbers
  5. Negative Rates
C Four Operations with Rational Numbers Β· 4 lessons
Goals
  • Apply the four operations with rational numbers to solve problems.
  • Solve an equation of the form px + q = r or p(x + q) = r, where p, q, and r are rational numbers.
  • Write an equation to represent a situation involving rational numbers.
Lessons
  1. Expressions with Rational Numbers
  2. Solving Problems with Rational Numbers
  3. Solving Equations with Rational Numbers
  4. Representing Contexts with Equations
D Let’s Put It to Work Β· 1 lesson
Lessons
  1. The Stock Market

Helpful to know first

The curriculum says this unit builds on these.

Grade 6 Math Β· Unit 7 Rational Numbers
← Unit 4 See the whole map Unit 6 →

Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. Β© Illustrative Mathematics.