Lesson 12 Represent Division of Unit Fractions by Whole Numbers
Let’s make sense of diagrams that represent division of a unit fraction by a whole number.
Warm-up Estimation Exploration: How Much is Shaded?
How much is shaded?
Record an estimate that is:
Activity 1 Diagrams, Equations, Situations
Priya and Mai used the diagrams below to find the value of
What is the same about the diagrams?
What is different?
Find the value that makes the equation true.
Han drew this diagram to represent
. Explain how the diagram
Find the value that makes the equation true. Explain or show your reasoning.
Activity 2 Priya’s Work
Find the value of
This is Priya’s work for finding the value of
What questions do you have for Priya?
Priya’s equation is incorrect. How can Priya revise her explanation?
Activity 3 Look for Patterns
Find the value that makes each equation true. Use a diagram if it is helpful.
What patterns do you notice?
How would you find the value of
divided by any whole number? Explain or show your reasoning.
Use the diagram to represent the expression
Explain how the diagram shows
What is the value of