Unit 1: Number Sense

Minds OnSolve for the variable:a) X 3 + 6 = 4

b) (x – 8)2 + 4 = 13

c) 3x + 4 = 11

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Learning Goal

I can solve problems involving ratios, rate, proportions, and percents

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Ratio: A rational number written in a different form to show meaning. It is a comparison of one number to another. Ratios can be reduced to lowest terms.

Quotient form

=

Ratio form

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Example 1: At school, there are 9 girls to every 6 boys. What is the ratio of girls to boys?

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Proportion: A proportion is when two ratios are equal to each other. This forms a special relationship and unknowns can be determined.

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, PercentTo solve proportions:

• Write the ratio in quotient (fraction) form• Cross multiply to determine the unknown

Ex. What do you multiply 5 by to get 35?So, multiply 4 by the same number to find the missing value:

Alternatively:

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Example 2: If a school has 3 girls to every 2 boys, how many girls would be in the class if there are 16 boys?

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Where do you see ratios in real life?ODDS (Lottery, Games):

“The lottery industry practice is to calculate the odds by taking the number of tickets sold, divided by the number of prizes available. That is 250,000 tickets / 71,654 prizes = 3.”

“The odds of winning a Grand Prize in the Heart&Stroke Lottery are approximately 1 in 25,000 (calculated by taking 250,000 tickets available and dividing by 10 Grand Prizes)”

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Where do you see ratios in real life?Scale Drawings (Map):

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Rate: A rate compares quantities that are measured in different units. Dividing the fraction of the rate creates a rate for one unit where the denominator is one.

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Example 3: It costs $8.40 for 10kg of salmon. What is the rate?

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Example 4: A car travels 150 km in 2 hours. What is the rate?

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Example 5: Which is a better deal? 3 packs of Kleenex for $7.49 or 5 packs for $12.05?

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Percent: A percentage is a way of representing a number as an equivalent fraction with the denominator being 100. Per = Out of

Cent = 100

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Example 6: Write as a fraction in lowest terms

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Example 7: Write

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Example 8: Find 16% of 75

Unit 1: Number Sense

Lesson 6 – Ratio, Rate, Proportion, Percent

Practice

Read the tops of pages 15 and 16 Pg. 15 Q#1ace, 2cdegj, 3bc, 4ab, 5ace,

6ace, 7ac Page 16 Q# 1ad, 2ad, 3ad, 4ad