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.
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[/img][br][br]How many [math]\frac{1}{2}[/math]s are in 2?
How many [math]\frac{1}{5}[/math]s are in 3?
How many [math]\frac{1}{8}[/math]s are in [math]1\frac{1}{4}[/math]?
[math]1\div\frac{2}{6}=?[/math]
[math]2\div\frac{2}{9}=?[/math]
[math]4\div\frac{2}{10}=?[/math]
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?”[br][br][list][*]Diego says, “[math]1\frac{1}{3}[/math]. If I put 1 rhombus on a trapezoid, the leftover shape is a triangle, which is [math]\frac{1}{3}[/math] of the trapezoid."[br][/*][*]Jada says, “I think it’s [math]1\frac{1}{2}[/math]. Since we want to find out ‘how many rhombuses,’ we should compare the leftover triangle to a rhombus. A triangle is [math]\frac{1}{2}[/math] of a rhombus.”[br][/*][/list][br]Do you agree with either of them? Explain or show your reasoning.
Select [b]all[/b] the equations that can be used to answer the question: “How many rhombuses are in a trapezoid?”
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 [math]\frac{3}{2}[/math] miles. Noah rode his bicycle around the park for a total of 3 miles. How many times around the park did he ride?[br][br]Write a multiplication equation or a division equation for the relationship.[br]
You need [math]\frac{3}{4}[/math] yard of ribbon for one gift box. You have 3 yards of ribbon. How many gift boxes do you have ribbon for?[br][br]Write a multiplication equation or a division equation for the relationship.[br]
The water hose fills a bucket at [math]\frac{1}{3}[/math] gallon per minute. How many minutes does it take to fill a 2-gallon bucket?[br][br]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?
IM 6.4.5 Practice: How Many Groups? (Part 2)
Use the tape diagram to find the value of ½ ÷ ⅓ . Show your reasoning.
What is the value of [math]\frac{1}{2}\div\frac{1}{3}[/math]? Use pattern blocks to represent and find this value. The yellow hexagon represents 1 whole. Explain or show your reasoning in the applet below.
Use a standard inch ruler to answer each question. Then, write a multiplication equation and a division equation that answer the question.
How many [math]\frac{1}{2}[/math]s are in 7?[br][br][img]data:image/png;base64,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[/img]
How many [math]\frac{3}{8}[/math]s are in 6?[br][br][img]data:image/png;base64,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[/img]
How many [math]\frac{5}{16}[/math]s are in [math]1\frac{7}{8}[/math]?[br][br][img]data:image/png;base64,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[/img]
Use the tape diagram to answer the question: How many ⅖ s are in 1½? Show your reasoning.
Write a multiplication equation and a division equation to represent each sentence or diagram.
There are 12 fourths in 3.
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[/img]
How many [math]\frac{2}{3}[/math]s are in 6?
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[/img]
At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. Which is the better deal? Explain your reasoning.
A recipe uses 5 cups of flour for every 2 cups of sugar.
How much sugar is used for 1 cup of flour?
How much flour is used for 1 cup of sugar?
How much flour is used with 7 cups of sugar?
How much sugar is used with 6 cups of flour?