Lesson 6Using Diagrams to Find the Number of Groups
Learning Goal
Let’s draw tape diagrams to think about division with fractions.
Learning Targets
I can use a tape diagram to represent equal-sized groups and find the number of groups.
Warm Up: How Many of These in That?
Problem 1
We can think of the division expression
Problem 2
Complete the tape diagram to represent the question: “How many groups of 2 are in 7?” Then find the answer.
Activity 1: Representing Groups of Fractions with Tape Diagrams
Problem 1
To make sense of the question “How many
In an earlier task, we used pattern blocks to help us solve the equation
Print Version
To make sense of the question “How many
In an earlier task, we used pattern blocks to help us solve the equation
Problem 2
Write a multiplication equation and a division equation for each question. Then, draw a tape diagram and find the answer.
How many
s are in 1? How many
s are in 3? How many
s are in 5?
Activity 2: Finding Number of Groups
Problem 1
Write a multiplication equation or a division equation for each question. Then, find the answer and explain or show your reasoning
How many
-inch thick books make a stack that is 6 inches tall? How many groups of
pound are in pounds?
Problem 2
Write a question that can be represented by the division equation
Lesson Summary
A baker used 2 kilograms of flour to make several batches of a pastry recipe. The recipe called for
We can think of the question as: “How many groups of
We can see there are 5 groups of
Notice the number of groups that result from
Suppose one serving of rice is