Unit 4, Lesson 9
How Much in Each Group? (Part 2)
Grade 6
9.2
Activity
- After looking at these pictures, Lin says, “I see the fraction .” Jada says, “I see the fraction .” What quantities are Lin and Jada referring to?
-
How many liters of water fit in the water dispenser? Show or explain your reasoning. If you get stuck, consider drawing a diagram.
-
To represent the question, Lin writes . Explain why this equation represents the question and the situation.
-
Write a division equation that represents the question.
Student Lesson Summary
Sometimes we have to think carefully about how to solve a problem that involves multiplication and division. Diagrams and equations can help us.
For example, of a pound of rice fills of a container. There are two whole amounts to keep track of here: 1 whole pound and 1 whole container. The equations we write and the diagram we draw depend on what question we are trying to answer.
-
How many pounds fill 1 container?
Fraction bar diagram. 5 equal parts. 2 parts shaded. First 2 parts labeled "the fraction 3 over 4 pound" and "the fraction 2 over 5 container." Total labeled "unknown pounds" and "1 container."If of a container is filled with pound, then of a container is filled with half of , or , pound. One whole container then has (or ) pounds.
-
What fraction of a container does 1 pound fill?
Fraction bar diagram. 4 equal parts. 3 parts shaded. First 3 parts labeled the fraction 2 over 5 container and the fraction 3 over 4 pound. Total labeled unknown quantity container and 1 pound.If pound fills of a container, then pound fills a third of , or , of a container. One whole pound then fills (or ) of a container.
None