Lesson 9How Much in Each Group? (Part 2)
Learning Goal
Let’s practice dividing fractions in different situations.
Learning Targets
I can find the amount in one group in different real-world situations.
Warm Up: Number Talk: Greater Than 1 or Less Than 1?
Problem 1
Decide whether each quotient is greater than 1 or less than 1.
Activity 1: Two Water Containers
Problem 1
After looking at these pictures, Lin says, “I see the fraction
Problem 2
Consider the problem: How many liters of water fit in the water dispenser?
Write a multiplication equation and a division equation for the question.
Find the answer and explain your reasoning. If you get stuck, consider drawing a diagram.
Check your answer using the multiplication equation.
Activity 2: Amount in One Group
Problem 1
Write a multiplication equation and a division equation and draw a diagram to represent each situation and question. Then find the answer. Explain your reasoning.
Jada bought
yards of fabric for $21. How much did each yard cost? kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost? Diego can fill
bottles with 3 liters of water. How many liters of water fill 1 bottle? gallons of water fill of a bucket. How many gallons of water fill the entire bucket?
Are you ready for more?
Problem 1
The largest sandwich ever made weighed 5,440 pounds. If everyone on Earth shares the sandwich equally, how much would you get? What fraction of a regular sandwich does this represent?
Activity 3: Inventing a Situation
Problem 1
Think of a situation that involves a question that can be represented by
Problem 2
Trade descriptions with a member of your group.
Review each other’s description and discuss whether each invented question is an appropriate match for the equation.
Revise your description or question based on feedback from your partner.
Problem 3
Find the answer to your question. Explain or show your reasoning. If you get stuck, draw a diagram.
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,
How many pounds fill 1 container?
If
What fraction of a container does 1 pound fill?
If