Solving Problems with Ratios and Rates

6th GradeMath40 min

aligned to Ccss.math.content.6.rp.a.3

Learning Objective

I can use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

Lesson Flow

Watch Video

6 min

Ratios and double number lines

Khan Academy

Guided Notes

8 min

Key concepts students will learn:

  • A double number line shows how two quantities change together, such as the relationship between pounds of avocados and their cost.

  • If 5 pounds of avocados cost $9, the cost for one pound can be found by dividing $9 by 5, which equals $1.80.

  • When using double number lines, the ratio of weeks to trains was 1:9, meaning for every week, Irene can build 9 trains.

Practice

12 min

7 questions • Multiple choice & Short answer

Exit Ticket

5 min

A double number line shows that 3 gallons of paint cover 750 square feet. How many square feet will 5 gallons of paint cover?

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts