Fishtank Learning

6th Grade Math
Unit 1: Understanding and Representing Ratios
Lesson 1

Objective

Define ratio and use ratio language to describe associations between two or more quantities.

Anchor Problems - Problem 1

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. 

Anchor Problems - Problem 2

Some teachers and students are playing games during recess.

  • 16 students play basketball
  • 6 teachers play basketball
  • 8 students jump rope
  • 2 teachers jump rope

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.

Anchor Problems - Problem 3

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?

Problem Set

Target Task

Different types of sports balls are shown below.

Write 4 ratio statements to compare the different types of sports balls in the collection.