Using Diagrams to Find the Number of Groups
Warmup
Click the “START” button in the applet below to begin.
Activity #1
Find Number of Groups in Division.
Your answers to the questions in this activity should be whole numbers. The applet will consider them as estimated values, and then provide you with steps to complete the solution.
- Read problem 1 that has been selected, and estimate your answer.
- Use
in the applet to choose your value. - Then, click
when you’re done to verify your answer. - Click the problem button at the top left to choose another question.
Activity #2
Write an Equation.
Use the applets below to answer the given questions. Then, draw a tape diagram and find the answer.
- Write a multiplication equation and a division equation for the question below.
(1.) How many 
s are in 1?
(2.) How many 
s are in 1?
(3.) How many 
s are in 1?
Activity #3
Use a Tape Diagram to Represent a Division Equation.
- Read the question below and use the tape diagram to provide your response. Show your working clearly.
We can think of the division expression 10 ÷ 2 ½ as the question: “How many groups of 2 ½ are in 10?” Complete the tape diagram to represent this question. Then find the answer.
Challenge #1
How many groups of 
are in 1?
Complete the tape diagram to represent the question: “How many groups of 2 are in 7?” Then find the answer.
Challenge #2
How many groups of 
day are in 1 week? Draw a tape diagram to show the relationship between the quantities and to answer the question. Use the graph paper below if needed.
Challenge #3
Write a Math puzzle.
- Think of a number.
- Double the number.
- Add 9.
- Subtract 3.
- Divide by 2.
- Subtract the number you started with.
The answer should be 3!
Why does this always work? Can you think of a different number puzzle that uses math (like this one) that will always result in 5?