Proportional Relationships- Day 4

Proportional Relationships and Equations

Lesson 4

Objective: Today I will generalize a process for finding missing values in a proportional relationship so that I can write the constant of proportionality to complete a row in a table of a proportional relationship. I know I am successful when I can complete Cool Down 4 to earn a 4.

Number Talk: Division

Find each quotient mentally.

Open Ended

 $645\div100$  

Open Ended

 $645\div50$  

Open Ended

 $48.6\div30$  

Open Ended

 $48.6\div x$  

Feeding a Crowd, Revisited

A recipe says that 2 cups of dry rice will serve 6 people. Complete the table as you answer the questions. Be prepared to explain your reasoning.

Complete the Table in your Book

or online

Open Ended

How many people will 1 cup of rice serve?

Open Ended

How many people will 3 cups of rice serve?

Open Ended

12 cups?

Open Ended

43 cups?

Open Ended

How many people will x cups of rice serve?

A recipe says that 6 spring rolls will serve 3 people. Complete the table as you answer the questions. Be prepared to explain your reasoning.

Complete the Table in your Book

or online

Open Ended

How many people will 1 spring roll serve?

Open Ended

How many people will 10 spring rolls serve?

Open Ended

16 spring rolls?

Open Ended

25 spring rolls?

Open Ended

How many people will n spring rolls serve?

Open Ended

How was completing this table different from the previous table? How was it the same?

Denver to Chicago

A plane flew at a constant speed between Denver and Chicago. It took the plane 1.5 hours to fly 915 miles.

Complete the table.

Open Ended

How far does the plane fly in one hour?

Open Ended

How far would the plane fly in t hours at this speed?

Open Ended

If d represents the distance that the plane flies at this speed for t hours, write an equation that relates t and d.

Open Ended

How far would the plane fly in 3 hours at this speed? in 3.5 hours? Explain or show your reasoning.

Revisiting Bread Dough

A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batches, but they always use the same ratio of honey to flour.

Complete the table.

Open Ended

If f is the cups of flour needed for h tablespoons of honey, write an equation that relates f and h

Open Ended

How much flour is needed for 15 tablespoons of honey? 17 tablespoons? Explain or show your reasoning.

Poll

How I feel after today

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