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

Last updated 11 months ago

9 questions

5.1: Reasoning with Fraction Strips

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

5.2: More Reasoning with Pattern Blocks

5.3: Drawing Diagrams to Show Equal-sized Groups

Are you ready for more?

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

Last updated 11 months ago

9 questions

5.1: Reasoning with Fraction Strips

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

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}=? _______

5.2: More Reasoning with Pattern Blocks

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

https://curriculum.illustrativemathematics.org/MS/students/1/4/5/index.html

[Scroll to the tool under "5.2: More Reasoning with Pattern Blocks"]

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

triangle _______ 
rhombus _______ 
hexagon _______ 

5.3: Drawing Diagrams to Show Equal-sized Groups

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 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?

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?

Are you ready for more?

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

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

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?

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?

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

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

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

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?

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?

The water hose fills a bucket at 1/3 gallon per minute. How many minutes does it take to fill a 2-gallon bucket?

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

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

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

The water hose fills a bucket at 1/3 gallon per minute. How many minutes does it take to fill a 2-gallon bucket?

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

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

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?

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?

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

Use (or draw) pattern blocks to represent each multiplication equation. Use the trapezoid to represent 1 whole.3 \cdot 1/3 = 13 \cdot 2/3 = 2

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

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?

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?

The water hose fills a bucket at 1/3 gallon per minute. How many minutes does it take to fill a 2-gallon bucket?

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

Use (or draw) pattern blocks to represent each multiplication equation. Use the trapezoid to represent 1 whole.3 \cdot 1/3 = 13 \cdot 2/3 = 2

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

The water hose fills a bucket at 1/3 gallon per minute. How many minutes does it take to fill a 2-gallon bucket?

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

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