Lesson Ratios & Proportional Relationships (CC2)

Ratio

Rate

Unit Rate

3 : 4

4 : 3

7 : 3

3 : 7

$0.40

$9.00

$2.50

$0.90

$3

$4

$2

$9

y

x

14

1/14

It is not proportional because it doesn't have anything added to it.

It is proportional because it doesn't have anything added to it.

Straight Line

The line goes through (0,0)

Curvy line

Straight line and passes through (0,0)

80

20

40

160

Yes, it's linear and goes through the origin

Yes, it's linear

Yes, it goes through the origin

Yes, the line is pretty

Set up a Proportion

Draw a Diagram

Annotate : Circle the numbers, Underline Question, Box Math Action Words

Answer the Question as a Sentence

Calculate how many meters are in 20 if in 1 meter are 3.28 ft.

Change 3.28 meters to feet

Calculate feet if we have 20 meters

Answer the Question as a Sentence

Addition and Multiplication

Set up a Proportion and cross products

Subtraction and Division

Multiplication

$\frac{3.28}{1}=\frac{20}{m}$

$\frac{3.28}{20}=\frac{m}{1}$

$\frac{3.28}{m\ \ }=\frac{20}{1}$

$\frac{20}{3.28}=\frac{1}{m}$

One meter is 3.28 feet

There are 3.28 feet  are in 29 meters. 

There are 6.10 meters in 20 feet.

6.10 meters

Constant of Proportionality is x divided by y

Constant of Proportionality is y divided by x

constant of proportional is the same as unit rate

A straight line that goes through the origin has a proportional relationship