1. Solve for the variable:
Unit 1: Number Sense
Minds On
Solve for the variable:
X ÷ = 4
(x – 8)2 + 4 = 13
c) 3x + 4 = 11

2. Lesson 6 – Ratio, Rate, Proportion, Percent
Unit 1: Number Sense
Lesson 6 – Ratio, Rate, Proportion, Percent
Learning Goal
I can solve problems involving ratios, rate, proportions, and percents

3. Lesson 6 – Ratio, Rate, Proportion, Percent
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
3 12 =
Ratio form
3 :12=

4. Lesson 6 – Ratio, Rate, Proportion, Percent
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?

5. Lesson 6 – Ratio, Rate, Proportion, Percent
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.

6. Lesson 6 – Ratio, Rate, Proportion, Percent
Unit 1: Number Sense
Lesson 6 – Ratio, Rate, Proportion, Percent
To solve proportions:
Write the ratio in quotient (fraction) form
Cross multiply to determine the unknown
Ex = 35
What do you multiply 5 by to get 35?
So, multiply 4 by the same number to find the missing value:
5 4 =
Alternatively:
5 4 = 35

7. Lesson 6 – Ratio, Rate, Proportion, Percent
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?

8. Lesson 6 – Ratio, Rate, Proportion, Percent
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)”

9. Lesson 6 – Ratio, Rate, Proportion, Percent
Unit 1: Number Sense
Lesson 6 – Ratio, Rate, Proportion, Percent
Where do you see ratios in real life?
Scale Drawings (Map):

10. Lesson 6 – Ratio, Rate, Proportion, Percent
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.

11. Lesson 6 – Ratio, Rate, Proportion, Percent
Unit 1: Number Sense
Lesson 6 – Ratio, Rate, Proportion, Percent
Example 3: It costs $8.40 for 10kg of salmon. What is the rate?

12. Lesson 6 – Ratio, Rate, Proportion, Percent
Unit 1: Number Sense
Lesson 6 – Ratio, Rate, Proportion, Percent
Example 4: A car travels 150 km in 2 hours. What is the rate?

13. Lesson 6 – Ratio, Rate, Proportion, Percent
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?

14. Lesson 6 – Ratio, Rate, Proportion, Percent
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

15. Lesson 6 – Ratio, Rate, Proportion, Percent
Unit 1: Number Sense
Lesson 6 – Ratio, Rate, Proportion, Percent
Example 6: Write % as a fraction in lowest terms

16. Lesson 6 – Ratio, Rate, Proportion, Percent
Unit 1: Number Sense
Lesson 6 – Ratio, Rate, Proportion, Percent
Example 7: Write 𝑎𝑠 𝑎 𝑝𝑒𝑟𝑐𝑒𝑛𝑡.

17. Lesson 6 – Ratio, Rate, Proportion, Percent
Unit 1: Number Sense
Lesson 6 – Ratio, Rate, Proportion, Percent
Example 8: Find 16% of 75

18. Lesson 6 – Ratio, Rate, Proportion, Percent
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