IM 7.2.2 Lesson: Introducing Proportional Relationships with Tables

Here is a table that shows how many rolls of paper towels a store receives when they order different numbers of cases.[br][br][img]data:image/png;base64,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[/img][br][br]What do you notice about the table? What do you wonder?
A recipe says that 2 cups of dry rice will serve 6 people. Complete the table and answer the questions below.
How many people will 10 cups of rice serve?
How many cups of rice are needed to serve 45 people?
A recipe says that 6 spring rolls will serve 3 people. Complete the table.
A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger or smaller batches, but they always use the same ratio of honey to flour. Complete the table and answer the questions.
How many cups of flour do they use with 20 tablespoons of honey?
How many cups of flour do they use with 13 tablespoons of honey?
How many tablespoons of honey do they use with 20 cups of flour?
What is the [b]proportional relationship[/b] represented by this table?
4 quarters are equal in value to 10 dimes. Complete the table and answer the questions below.
How many dimes equal the value of 6 quarters?
How many dimes equal the value of 14 quarters?
What value belongs next to the 1 in the table? What does it mean in this context?
Pennies made before 1982 are 95% copper and weigh about 3.11 grams each. (Pennies made after that date are primarily made of zinc). Some people claim that the value of the copper in one of these pennies is greater than the face value of the penny. Find out how much copper is worth right now, and decide if this claim is true.

IM 7.2.2 Practice: Introducing Proportional Relationships with Tables

When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to make batches of different sizes. Use the information in the table to complete the four statements below. Some terms are used more than once.[br][br][img]data:image/png;base64,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[/img]
A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint. Complete the table and answer the questions below.
How many cups of red paint should be added to 1 cup of white paint?
What is the constant of proportionality?[br]
A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles.
What is the actual area of the park? Show how you know.
The map needs to be reproduced at a different scale so that it has an area of 6 square inches and can fit in a brochure.
At what scale should the map be reproduced so that it fits on the brochure? Show your reasoning.
Noah drew a scaled copy of Polygon P and labeled it Polygon Q.
If the area of Polygon P is 5 square units, what scale factor did Noah apply to Polygon P to create Polygon Q? Explain or show how you know.
Select [b]all[/b] the ratios that are equivalent to each other.

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