Math
Unit 1
6th Grade
Lesson 1 of 18
Define ratio and use ratio language to describe associations between two or more quantities.
You have the following collection of shapes:
These shapes can be sorted into different groups. For example, you can make a group of squares and a group of circles. We can use ratios to describe how these groups are related; for example, the ratio of squares to circles is 4 to 10, or 4:10.
Sort the shapes into as many different groups as you can think of. For each one, describe the association between the groups using a ratio.
Some teachers and students are playing games during recess.
After recess, Mr. Hill shares this information with his class. He asks his students to compare the students and teachers playing different games.
Mika said: “Eight more students played basketball than jumped rope.”
Chaska said: “For every student who jumped rope, two students played basketball.”
Mr. Hill said, “Mika compared the students by looking at the difference, and Chaska compared the students using a ratio."
a. Compare the number of teachers who played basketball and jumped rope using the difference. Write your answer as a sentence as Mika did.
b. Compare the number of teachers who played basketball and jumped rope using a ratio. Write your answer as a sentence as Chaska did.
c. Compare the number of students who played basketball to the number of teachers who played basketball using a ratio. Write your answer in two different ways.
Games at Recess, accessed on July 18, 2017, 1:23 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by Fishtank Learning, Inc.Abigail mixed 2 cups of white paint with 6 tablespoons (T) of blue paint.
Write at least four ratio statements to describe the situation. Can you write more than four?
Many Ways to Say It, accessed on July 18, 2017, 1:55 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by Fishtank Learning, Inc.The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
Different types of sports balls are shown below.
Write 4 ratio statements to compare the different types of sports balls in the collection.
Lesson 2
Topic A: Understanding & Describing Ratios
Topic B: Equivalent Ratios
Topic C: Representing Ratios in Tables
Topic D: Solving Part:Part:Whole Ratio Problems