[Scroll to the tool under "5.2: More Reasoning with Pattern Blocks"]
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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.
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Are you ready for more?
Question 9
9.
How many heaping teaspoons are in a heaping tablespoon? How would the answer depend on the shape of the spoons?
Question 1
1.
How many 1/2s are in 2? _______
How many 1/5s are in 3? _______
How many 1/8s are in 11/4? _______
1\div \frac{2}{6}=? _______
2\div \frac{2}{9}=? _______
4 \div \frac{2}{10}=? _______
Question 2
2.
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 _______
Question 3
3.
Use (or draw) pattern blocks to represent each multiplication equation. Use the trapezoid to represent 1 whole.
3 \cdot 1/3 = 1
3 \cdot 2/3 = 2
Question 4
4.
Diego and Jada were asked “How many rhombuses are in a trapezoid?”
Diego says, “11/3. If I put 1 rhombus on a trapezoid, the leftover shape is a triangle, which is 1/3 of the trapezoid.”
Jada says, “I think it’s 11/2. Since we want to find out ‘how many rhombuses,’ we should compare the leftover triangle to a rhombus. A triangle is 1/2 of a rhombus.”
Do you agree with either of them? Explain or show your reasoning.
Question 5
5.
Question 6
6.
The distance around a park is 3/2 miles. Noah rode his bicycle around the park for a total of 3 miles. How many times around the park did he ride?
Question 7
7.
You need 3/4 yard of ribbon for one gift box. You have 3 yards of ribbon. How many gift boxes do you have ribbon for?
Question 8
8.
The water hose fills a bucket at 1/3 gallon per minute. How many minutes does it take to fill a 2-gallon bucket?
Select all the equations that can be used to answer the question: “How many rhombuses are in a trapezoid?”