Unit 2

This course is a part of 6th grade (Illustrative Mathematics), a 8-course Topic series from Khan Academy.

In this unit, students learn to understand and use the terms “ratio,” “rate,” “equivalent ratios,” “per,” “at this rate,” “constant speed,” and “constant rate,” and to recognize when two ratios are or are not equivalent. They represent ratios as expressions, and represent equivalent ratios with double number line diagrams, tape diagrams, and tables. They use these terms and representations in reasoning about situations involving color mixtures, recipes, unit pricing, and constant speed.

This course contains 14 segments:

Lesson 1: Introducing ratios and ratio language

In this lesson, students use collections of objects to make sense of and use ratio language. Students see that there are several different ways to describe a situation using ratio language.

Lesson 2: Representing ratios with diagrams

Lesson 3: Recipes

Lesson 4: Color mixtures

Lesson 5: Defining equivalent ratios

Lesson 7: Creating double number line diagrams

Lesson 8: How much for one?

Lesson 9: Constant speed

Lesson 10: Comparing situations by examining ratios

Lesson 11: Representing ratios with tables

Lesson 12: Navigating a table of equivalent ratios

Lesson 13: Tables and double number line diagrams

Lesson 15: Part-part-whole ratios

Lesson 16: Solving more ratio problems