Unit 2, Lesson 2
Representing Ratios with Diagrams
Grade 6
2.1
Warm-up
Which three go together? Why do they go together?
A
B
C
D
2 green objects
2.2
Activity
Elena mixed 2 cups of white paint with 6 tablespoons of blue paint.
Here is a diagram that represents this situation.
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Discuss each statement, and circle all those that correctly describe this situation. Make sure that both you and your partner agree with each circled answer.
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The ratio of cups of white paint to tablespoons of blue paint is .
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For every cup of white paint, there are 2 tablespoons of blue paint.
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There is 1 cup of white paint for every 3 tablespoons of blue paint.
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There are 3 tablespoons of blue paint for every cup of white paint.
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For each tablespoon of blue paint, there are 3 cups of white paint.
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For every 6 tablespoons of blue paint, there are 2 cups of white paint.
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The ratio of tablespoons of blue paint to cups of white paint is 6 to 2.
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Jada mixed 8 cups of corn flour with 2 pints of liquid glue to make play clay.
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Draw a diagram that represents the situation.
- Write at least two sentences describing the ratio of corn flour and glue.
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Student Lesson Summary
Ratios can be represented using diagrams. The diagrams do not need to include realistic details. For example, there are 2 pairs of scissors and 6 glue sticks in a bin. Instead of this:
We can draw something like this:
This diagram shows that the ratio of glue sticks to pairs of scissors is 6 to 2. We can also see that for every pair of scissors, there are 3 glue sticks.
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