2.25_Unit Rate

2.25_Unit Rate

Section 5.2

We are going to discuss

• Ratio

• Rate

• Unit Rate

• Proportion and Proportional

• Cross Products

Ratio

• A comparison of two quantites using division

• This looks like:

   $\frac{3}{4}$  , 3 to 4, 3:4

Rate

• a ratio of two quantities with different units

• This looks like:

   $\frac{60\ miles}{2\ hours}$  

Unit Rate

• A rate with the deniminator of 1

• This looks like:

   $\frac{30\ miles}{1\ hour}$  

Proportion

• an equation stating that two ratios are equivalent

• This can look like:

   $\frac{2}{3}=\frac{4}{6}$  

• This can be read as, "2 is to 3 as 4 is to 6."

Proportional

• Two quantities that form a proportion

Cross Products

• The cross products of a proportion are equal

• This is a reliable method to see if two ratios are proportional

Are these ratios proportional?

• First, let's set up what we need to multiply

• (4x5) = (10x3)

• 20 = 30

• 20 does not equal 30, so we know these ratios are not proportional

Are these ratios proportional?

• First, let's set up what we need to multiply

• (4x3) = (12x1)

• 12 = 12

• 12 is equal to 12, so we know these ratios are proportional

Multiple Choice

Are these ratios proportional?

• Yes

• No

Multiple Choice

Are these ratios proportional?

• Yes

• No

Multiple Choice

Are these ratios proportional?

• Yes

• No

Multiple Select

Which ratios are proportional?

• $\frac{11}{2}$

• $\frac{3}{10}$

• $\frac{4}{5}$

• $\frac{22}{4}$

• $\frac{66}{3}$

Multiple Select

Which ratios are proportional?

• $\frac{4}{10}$

• $\frac{2}{5}$

• $\frac{3}{5}$

• $\frac{6}{15}$

All of this content is from sections 5.1 and 5.2 in your textbook. This can be found on Big Ideas Math and Google Classroom

Make sure you watch the Math Antics video posted on 2.24 about proportions!