Pre-Algebra Thursday August 28

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

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

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

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

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

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?

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.

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

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

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?

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?

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

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)

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?

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

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

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

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

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