Proportions and Unit Rates Part 2

Identify & Represent Proportional Relationships

Standard:

MA.7.AR.4.4 Given any representation of a proportional relationship, translate the representation to a written description, table or equation.

Open Ended

When you are having a tough day, what do you do to make yourself feel better?

Identify & Represent Proportional Relationships

I can calculate unit rates.


Desmos

Labeling

Recall:

Place the correct values and ratios next to each statement.

Drag labels to their correct position on the image

8 to 7

7 to 8

10 : 7

7

25

10

8

7 : 10

2 / 5

25 / 10

A unit rate can compare many quantities, one of the quantities has to be one.

• 100 miler per hour or 100/1 or 100:1

• 3 girls per 1 boy or 3 /1 or 3:1

• 5 assignments per day or 5 /1 or 5:1

Unit Rate: rate in which the second quantity compared is one unit

​I Do:

Multiple Choice

I Do:

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

• $8 per pound

• $35 per pound

• $5 per pound

• $0.125 per pound

Multiple Choice

We Do:

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

• $.50 per pound

• $1.25 per pound

• $3 per pound

• $2.50 per pound

Multiple Choice

You Do:

It cost me $46.80 to fill my 13-gallon gas tank. What was the price of gas per gallon?

• $3.60

• $3.55

• $3.40

• $3.50

Reorder

Summary:

What are the steps to calculating unit rates:

• set up two ratios = to each other

• one ratio has to have a denominator of 1

• cross multiply

• solve for the variable

• place the answer over 1

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Multiple Choice

Exit Ticket:

Jazlyn has spent 2 hours reading 86 pages of Breaking Dawn. She is reading an average of how many pages each hour?

• 176 pages
• 43 pages
• 34 pages
• 84 pages