Ratios Rates and Proportions

Ratios

100

What is a ratio?

A ratio is a comparison between two numbers of the same unit of measurement. For example: dollars to dollars, OR kilometers to kilometers.

200

Reduce the ratio: 5:15

1:3

300

Fill in the blank: 12:46 = ___:115

12:46 = 30:115

400

In music, the value of a whole note is twice that of a half note, and a half note is twice as long as a quarter note. Also, an eighth note is as long as half a quarter note. Determine the ratio of The value of a whole note: The value of a half note

2:1

Rates

100

What is a rate?

A rate is a comparison between two numbers of different units of measurements. For example: dollars to percentage OR centimeters to kilometers.

200

Which is not a rate? A) Teaspoon:Teaspoon B) Centimeters:Meters

A

300

Which describes how to find the unit rate of 100 jelly beans to 5 people? A) Divide 5 by 100 B) Multiply 5 by 100 C) Divide 100 by 5 D) Add 5 and 100

C

400

Three friends compare their electricity bill. John who lives in Ontario, paid $125 for 2500kw. Jennifer, who lives in British Columbia, paid $187.55 for 3100kw. Joey, who lives in Manitoba, paid $140.56 for 2800kw. What is the unit rate for each person?

John: $0.05 Jennifer: $0.06 Joey: $0.05 To find the answer, for example, the unit rate of Jennifer, divide how much she paid, by the amount of kilowatts. 187.55/3100 =0.06

Proportions

100

What is a proportion?

A proportion is a comparison between two fractions that are equal to each other.

200

What is the difference between directly proportional and inversely proportional?

DIRECTLY PROPORTIONAL: Any situation involving equivalent ratios and rates, in a table of values, the numbers in the first row and second row form sequences of proportional numbers. When represented in a graph, the line is straight and passes directly through the orgin. INVERSELY PROPORTIONAL: The product of the independent variable and the dependent variable remains constant. It is represented graphically by a curve that gradually approaches the axes but never touches it.

400

Three friends compare their electricity bill. John who lives in Ontario, paid $125 for 2500kw. Jennifer, who lives in British Columbia, paid $187.55 for 3100kw. Joey, who lives in Manitoba, paid $140.56 for 2800kw. What is the unit rate for each person?

John: $0.05 Jennifer: $0.06 Joey: $0.05

Vocabulary

100

What is the difference between a ratio and a rate?

A ratio is a comparison between two numbers expressed in the same units. EX: $ and $ or cm and cm A rate is a comparison between two numbers expressed in different units. EX: cm and dm or $ and %

200

What is the denominator in the following fraction? 2/3

3

300

What is the numerator in each of the following ratios? 4/6 and 6/9

4 and 6

400

Give the definition of "The Greatest Common Factor"

The largest factor that two or more fractions have in common