Using Diagrams to Find the Number of Groups

Click the “START” button in the applet below to begin.

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Find Number of Groups in Division.

  • Read problem 1 and estimate your answer. Use the upward arrow in the box to choose your value.​
  • Click on “Check” to verify your answer. ​
  • Click the down arrow at the top to choose another question. Your answers to all the problems should be whole numbers.

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Write an Equation.

(A). Write a multiplication equation and a division equation for the question below. Then, draw a tape diagram and find the answer.

How many s are in 1?

(B). Write a multiplication equation and a division equation for the question below. Then, draw a tape diagram and find the answer.

How many s are in 1? 

(C). Write a multiplication equation and a division equation for the question below. Then, draw a tape diagram and find the answer.

How many s are in 1?

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Use a Tape Diagram to Represent a Division Equation.

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.

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Select all the equations that can represent the question: “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.

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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.

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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?