Unit 7

Rational Numbers

Unit Narrative

In this unit, students learn about negative numbers and ways to represent them on a number line and the coordinate plane. They write and graph simple inequalities in one variable and determine the greatest common factor and least common multiple of two whole numbers. In grade 7, students will perform arithmetic operations with signed numbers and write and solve more complex inequalities.

Students begin by considering situations involving temperature or elevation and interpreting what negative numbers mean in those contexts. They also plot points to represent positive and negative values...

to access Pre-Unit Assessments.

Section A

Section Goals

Section Narrative

Work in this section expands students’ understanding of the number system to include both positive and negative numbers. Students begin by examining situations involving temperature and elevation to understand the need for numbers less than 0. They work with both vertical and horizontal number lines to represent positive and negative values, observing the symmetry present in the number line. Students...

Let’s explore how we represent temperatures and elevations.

Let’s plot positive and negative numbers on the number line.

Let’s compare numbers on the number line.

Let’s order rational numbers.

Let’s make sense of negative amounts of money.

Let’s explore distances from zero more closely.

Let’s use absolute value and negative numbers to think about elevation.

to access Section Checkpoints.

Section A

Let’s explore how we represent temperatures and elevations.

Let’s plot positive and negative numbers on the number line.

Let’s compare numbers on the number line.

Let’s order rational numbers.

Let’s make sense of negative amounts of money.

Let’s explore distances from zero more closely.

Let’s use absolute value and negative numbers to think about elevation.

Section B

Section Goals

Section Narrative

Work in this section introduces students to writing inequalities and representing solutions to inequalities on a number line. Students must consider reasonable solutions for situations in context. For each situation, they consider possible minimum and maximum values, whether boundary values should be included, whether negative numbers make sense, and whether solutions are discrete or continuous. They compare the different ways...

Let’s write inequalities.

Let’s think about the solutions to inequalities.

Let’s examine what inequalities can tell us.

to access Section Checkpoints.

Section B

Let’s write inequalities.

Let’s think about the solutions to inequalities.

Let’s examine what inequalities can tell us.

Section C

Section Goals

Section Narrative

In this section, students explore ways to represent pairs of numbers that include negative values. They do so by extending the horizontal axis to the left of and the vertical axis below and plotting ordered pairs in all four quadrants of the coordinate plane. They reason about how to appropriately scale and label a set of axes in order to...

Let’s explore the coordinate plane.

Let’s investigate different ways of creating a coordinate plane.

Let’s examine what points in the coordinate plane can tell us.

Let’s explore distance on the coordinate plane.

Let’s use the coordinate plane to solve problems and puzzles.

to access Section Checkpoints.

Section C

Let’s explore the coordinate plane.

Let’s investigate different ways of creating a coordinate plane.

Let’s examine what points in the coordinate plane can tell us.

Let’s explore distance on the coordinate plane.

Let’s use the coordinate plane to solve problems and puzzles.

Section D

Section Goals

Section Narrative

In this section, students expand on their knowledge of factors and multiples and use the greatest common factor and the least common multiple of two whole numbers to solve problems. Students begin by finding factors of numbers in the context of splitting items up into groups. They relate the greatest common factor as the largest number of groups that can...

Let’s use factors to solve problems.

Let’s use multiples to solve problems.

Let’s use common factors and common multiples to solve problems.

to access Section Checkpoints.

Section D

Let’s use factors to solve problems.

Let’s use multiples to solve problems.

Let’s use common factors and common multiples to solve problems.

Section E

Section Narrative

In this final section, students have the opportunity to apply their thinking from throughout the unit. The lesson in this section is optional because it offers additional opportunities to practice standards that are not a focus of the grade. As this is a short section followed by an End-of-Unit Assessment, there are no section goals or checkpoint questions.

Let’s draw on the coordinate plane.

to access Section Checkpoints.

Section E

Let’s draw on the coordinate plane.

to access End-of-Unit Assessments.

Navigation

Gradeband

Course

Unit

Settings

Audience

Assessment Access

Unit | Loading...

Rational Numbers

Unit Narrative

Section Goals

Section Narrative

Section Goals

Section Narrative

Section Goals

Section Narrative

Section Goals

Section Narrative

Section Narrative

Unit 7 Resources

About Unit 7

Other Resources

Section Goals

Section Narrative

Section Goals

Section Narrative

Section Goals

Section Narrative

Section Narrative

Section Goals

Section Narrative