Unit 7: Rational Numbers

Students learn about negative numbers and ways to represent them on a number line and the coordinate plane, write and graph simple inequalities in one variable, and determine the greatest common factor and least common multiple of two whole numbers.

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What this unit covers

A Negative Numbers and Absolute Value · 7 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. Points on the Number Line
3. Comparing Positive and Negative Numbers
4. Ordering Rational Numbers
5. Using Negative Numbers to Make Sense of Contexts
6. Absolute Value of Numbers
7. Comparing Numbers and Distance from Zero

B Inequalities · 3 lessons

Goals

• Determine whether a given value is a solution to a given inequality.
• Draw and label a number line diagram to represent the solutions to an inequality.
• Write an inequality statement to represent a constraint.

Lessons

1. Writing and Graphing Inequalities
2. Solutions of Inequalities
3. Interpreting Inequalities

C The Coordinate Plane · 5 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. Points in the Coordinate Plane
2. Constructing the Coordinate Plane
3. Interpreting Points in a Coordinate Plane
4. Distances in the Coordinate Plane
5. Shapes in the Coordinate Plane

D Common Factors and Common Multiples · 3 lessons

Goals

• List the factors of a number, and identify common factors for two numbers in a real-world situation.
• List the multiples of a number, and identify common multiples for two numbers in a real-world situation.

Lessons

1. Common Factors
2. Common Multiples
3. Using Common Multiples and Common Factors

E Let’s Put It to Work · 1 lesson

Lessons

1. Drawing in the Coordinate Plane (Optional)

Helpful to know first

The curriculum says this unit builds on these.

Grade 6 Math · Unit 6 Expressions and Equations

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