Creating Multiple Proportions

Thursday, April 20, 2023

We are learning to…solve problems that involve proportional reasoning.

Vocabulary Review:

What is a ratio? A comparison of two quantities,

usually written in the form of a fraction in simplest form.

What is a proportion? Two ratios set equal to one another.

Creating Multiple Proportions Ted eats 6 pancakes in 2 days. How many days

will it take Ted to eat 15 pancakes?

Table: Proportion:

Days Pancakes

2 6

x 15

2 days days

6 pancakes 15 pancakes

x(15) (15)

5 days

30 days

6x

Creating Multiple Proportions

Insert that missing value into your table.

Days Pancakes

2 6

5 15

“Prove that you have created equal ratios.”

2

6

1

3 5

151

3

“Is there only one proportion that you could have created to solve this problem?”

Creating Multiple Proportions

Days Pancakes

2 6

5 15

2

5

6

15

2

5

“What about creating proportions from data vertically in the table?”

Days Pancakes

2 6

x 15

2 6

15x This is one

proportion!

15

2 6

x Solve this

proportion!(2) (2)

30

6x

5x

Creating Multiple Proportions

We know we can make proportions horizontally and vertically using the table…what about diagonally?

Days Pancakes

2 6

5 15

1. Do these make equal ratios?

2. Can we make a true proportion?

3. Can we use this to help us find a solution? Why or why not?

We cannot use these ratios to help us solve because they do not create equal ratios (proportions).

2 6

15 5

Why does this comparison not give us a proportion?

Creating Multiple Proportions

Practice:Regina sells 4 candy bars every 5 hours.

How long will it take her to sell 16 candy bars?

Hours Candy Bars

5 4

x 16

Your job:

Create and solve TWO different proportions that could be used to find the solution in this problem

situation.

Be ready to share with the class.