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Math · Grade 6 Accelerated · Unit 7

Unit 7: Rational Numbers

Students learn about negative numbers and ways to represent them on a number line and the coordinate plane, and they perform the four operations on rational numbers.

Worksheets

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Unit
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Concept
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Practice
Set 1
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Set 2
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Advanced
Set 1
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Set 2
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What this unit covers

A Negative Numbers and Absolute Value · 5 lessons
Goals
  • Interpret a rational number and the absolute value of a number in context.
  • Plot rational numbers and their opposites on a number line; know that a number and its opposite have the same absolute value.
  • Use words and symbols to compare rational numbers, where a rational number could also be the absolute value of a number.
Lessons
  1. Positive and Negative Numbers
  2. Comparing Positive and Negative Numbers
  3. Ordering Rational Numbers
  4. Absolute Value of Numbers
  5. Comparing Numbers and Distance from Zero
B Adding and Subtracting Rational Numbers · 5 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. Changing Temperatures
  2. Changing Elevation
  3. Money and Debts
  4. Representing Subtraction
  5. Finding Differences
C The Coordinate Plane · 3 lessons
Goals
  • Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
  • Use coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
  • Working in all four quadrants, plot a point given its coordinates, or identify the coordinates of a given point in the coordinate plane.
Lessons
  1. Constructing the Coordinate Plane
  2. Interpreting Points in a Coordinate Plane
  3. Distances in the Coordinate Plane
D Multiplying and Dividing Rational Numbers · 4 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
  2. Multiply!
  3. Dividing Rational Numbers
  4. Negative Rates
E Four Operations with Rational Numbers · 4 lessons
Goals
  • Apply the four operations with rational numbers to solve problems.
  • Solve an equation of the form x + p = q or px = q, where p, q, and x are rational numbers.
  • Write an equation of the form x + p = q or px = q (where p, q, and x are rational numbers) to represent a situation.
Lessons
  1. Expressions with Rational Numbers
  2. Solving Problems with Rational Numbers
  3. Solving Equations with Rational Numbers
  4. Representing Contexts with Equations
F Let's Put It to Work · 2 lessons
Lessons
  1. Drawing in the Coordinate Plane (Optional)
  2. The Stock Market
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Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.