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.
Sluiten

Informatie: IM 7.2.2 Lesson: Introducing Proportional Relationships with Tables