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IM 6.4.5 Lesson: How Many Groups? (Part 2)

Write a fraction or whole number as an answer for the question. If you get stuck, use the fraction strips. Be prepared to share your reasoning.

How many s are in 2?

How many s are in 3?

How many s are in ?

Use the pattern blocks in the applet to answer the following questions. (If you need help aligning the pieces, you can turn on the grid.)

If the trapezoid represents 1 whole, what do each of these other shapes represent? Be prepared to explain or show your reasoning.

1 triangle

1 rhombus

1 hexagon

Use pattern blocks to represent each multiplication equation. Use the trapezoid to represent 1 whole.

Use pattern blocks to represent each multiplication equation. Use the trapezoid to represent 1 whole.

Diego and Jada were asked “How many rhombuses are in a trapezoid?”

  • Diego says, “. If I put 1 rhombus on a trapezoid, the leftover shape is a triangle, which is of the trapezoid."
  • Jada says, “I think it’s . Since we want to find out ‘how many rhombuses,’ we should compare the leftover triangle to a rhombus. A triangle is of a rhombus.”
Do you agree with either of them? Explain or show your reasoning.

Select all the equations that can be used to answer the question: “How many rhombuses are in a trapezoid?”

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Antwort überprüfen (3)

For each situation, draw a diagram for the relationship of the quantities to help you answer the question. Then write a multiplication equation or a division equation for the relationship. Be prepared to share your reasoning.

The distance around a park is miles. Noah rode his bicycle around the park for a total of 3 miles. How many times around the park did he ride? Write a multiplication equation or a division equation for the relationship.

You need yard of ribbon for one gift box. You have 3 yards of ribbon. How many gift boxes do you have ribbon for? Write a multiplication equation or a division equation for the relationship.

The water hose fills a bucket at gallon per minute. How many minutes does it take to fill a 2-gallon bucket? Write a multiplication equation or a division equation for the relationship.

How many heaping teaspoons are in a heaping tablespoon? How would the answer depend on the shape of the spoons?