1. Pre-Algebra
Thursday August 28

2. Learning Target
I will be able to recognize situations that require setting up proportions and solving for unknown values.

3. What did we do last time?
In problem 1.3 we identified proportional relationships between quantities. For the following recipe, what type of ratio is represented? Concentrate 1 Water 3

4. What did we do last time?
Using these parts, how do you write a part-to-whole ratio? Concentrate 1 Water 3

5. Problem 1.4 Vocabulary
Proportion: An equation stating that two ratios are equal.

6. Problem 1.4 In problem 1.3 we solved the following proportion:
Would it have made sense for Otis to write

7. Problem 1.4
Suppose that among American doctors men outnumber women by a ratio of 12 to 5 What does the 12 represent? What does the 5 represent?

8. Problem 1.4
American Doctors Men 12 Women 5
If about 600,000 American doctors are men, how can you figure out how many are women?
There are four ways to write this as a proportion.

9. Problem 1.4 Proportion 1
American Doctors Men 12 Women 5
If about 600,000 American doctors are men, how can you figure out how many are women?
Ratio
Actual Number
Men
Women

10. Problem 1.4 Proportion 2 American Doctors Men 12 Women 5
If about 600,000 American doctors are men, how can you figure out how many are women?
Men
Women
Ratio
Actual

11. Problem 1.4 Proportion 3 American Doctors Men 12 Women 5
If about 600,000 American doctors are men, how can you figure out how many are women?

12. Problem 1.4 Proportion 4 American Doctors Men 12 Women 5
If about 600,000 American doctors are men, how can you figure out how many are women?

13. Problem 1.4 A
Imani gives vitamins to her dogs. The recommended dosage is 1 teaspoon per day for adult dogs weighing 10 pounds. She needs to give vitamins to Bruiser who weighs 80 pounds. What is the correct dosage?
Ratio
Actual
Medicine (tsp) 1 x
Dogs weight (pounds) 10 80

14. Problem 1.4 A
Imani gives vitamins to her dogs. The recommended dosage is 1 teaspoon per day for adult dogs weighing 10 pounds. She needs to give vitamins to Dust Ball who weighs 7 pounds. What is the correct dosage?
Ratio
Actual
Medicine (tsp)
Dogs weight (pounds)

15. Problem 1.4 B
Jogging 5 miles burns about 500 calories. How many miles does Tanisha need to jog to burn off the 1200 calorie lunch she ate?

16. Problem 1.4 B
Tanisha jogs about 8 miles in 2 hours. How long will it take her to jog 12 miles?

17. Problem 1.4 C
The triangles in this picture are similar. Find the height of the tree.

18. Problem 1.4 C There are 4 ways you can set up the proportion.
Small Triangle
Large Triangle
Base
Height

19. Problem 1.4 C There are 4 ways you can set up the proportion. Base
Height
Small Triangle
Large Triangle

20. Rate your learning
I will be able to recognize situations that require setting up proportions and solving for unknown values.