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Unit 7: Ratios, Rates and Proportions What we will learn and be able to: Compute unit rates involving ratios with a fraction in the denominator and the numerator. Determine whether two quantities are in a proportional relationship Identify the unit rate in a table and represented by a proportion. Represent proportional relationships by equations. Graph proportional equations.

Ratios and Rates Learning Objective: Students can write and express ratios in the simplest form and can find unit rates

Vocabulary

Ratios How many stripes are there on the American flag? How many red stripes? What is the ratio of red stripes to the total number of stripes? What are some different ways we can write this ratio? With your neighbor, come up with two examples of ratios.

Ratios Labrador Retrievers – 5 German Shepherds – 10 Write two ratios using the two types of dogs. Write each ratio 3 different ways. Write the ratios in simplest form. Challenge: Write the ratio 50 seconds : 2 minutes in simplest form.

Unit Rates We’ve been talking about ratios. What is a unit rate? If a car travels 120 miles on 4 gallons of gas, then the rate is _________. If a unit rate is the rate for one unit of a given quantity, then the unit rate is ____________. A team of cyclists completed the 200-lap Indiana Little 500 race in just over 2 hours and 4 minutes, or about 2.07 hours. Find the unit rate. number of laps = number of hours

Wrapping Up Learning Objective: Students can write and express ratios in the simplest form and can find unit rates. You should: - know the difference between rates, ratios, and unit rates. - be able to write a ratio three different ways. - be able to determine a unit rate.

Summary Learning Objective: Students can write and express ratios in the simplest form and can find unit rates. In Your Planner: Homework: Page 290. Problems 1-3, 13-18, 27, 28.