Splash Screen Lesson 2 Contents Objective #1: Solve Proportions Example 1Identify Proportions Example 2Solve Proportions Objective #2: Use proportions.

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Presentation transcript:

Splash Screen

Lesson 2 Contents Objective #1: Solve Proportions Example 1Identify Proportions Example 2Solve Proportions Objective #2: Use proportions to solve real-world problems Example 3Use a Proportion to Solve a Problem Example 4Convert Measurements

Lesson 2 Contents Practice and Apply Objective #1: Solve Proportions 9-25 odd (alt. 9, 13, 17, 21, 25,) Objective #2: Use proportions to solve real-world odd, 45 (alt. 33, 37, 41, 45) Maintaining Your Skills 46-51

Example 2-1a Determine whether the pair of ratios forms a proportion. Write a proportion. Cross products Simplify. Answer: So,. Obj. #1: Solve Proportions

Example 2-1b Determine whether the pair of ratios forms a proportion. Write a proportion. Cross products Simplify. Answer:So,. Obj. #1: Solve Proportions

Example 2-2a Solve the proportion. Cross products Multiply. Divide. Answer:The solution is Obj. #1: Solve Proportions

Example 2-2b Solve the proportion. Cross products Multiply. Divide. Answer:The solution is 5. Obj. #1: Solve Proportions

Example 2-1c Obj. #1: Solve Proportions

Determine whether each pair of ratios forms a proportion. a. b. Example 2-1c Answer: Obj. #1: Solve Proportions

Solve each proportion. a. b. Example 2-2c Answer: 4.5 Answer: 7 Obj. #1: Solve Proportions

Example 2-3a Architecture An architect builds a model of a building before the actual building is built. The model is 8 inches tall and the actual building will be 22 feet tall. The model is 20 inches wide. Find the width of the actual building. ExploreYou know the actual height of the building and the corresponding height of the model. You need to find the actual width of the building that corresponds with a model width of 20 inches. PlanWrite and solve a proportion using ratios that compare the actual building to the model. Let w represent the actual width of the building. Obj. #2: Solve real-world

Example 2-3b Solve Write a proportion. Cross products Multiply. Divide. Simplify. Obj. #2: Solve real-world

Example 2-3c Answer: The actual width of the building is 55 feet. Examine Check the cross products. Since and, the answer is correct. Obj. #2: Solve real-world

Example 2-4a Attractions The Circleville Pumpkin Show in Circleville, Ohio, boasts the world’s largest pumpkin pie. The pie weighs 350 pounds and is 5 feet in diameter. Find the diameter of the pie in centimeters if 1 foot = centimeters. Let x represent the diameter in centimeters. customary measurement metric measurement customary measurement metric measurement Cross products Simplify. Answer: The diameter of the pie is centimeters. Obj. #2: Solve real-world

Example 2-3d Obj. #2: Solve real-world

Example 2-3d Planes A model of a jet airplane has a length of 9 inches and a wingspan of 6 inches. Find the wingspan of the actual plane if the length is 120 feet. Answer: The wingspan of the actual plane is 80 feet. Obj. #2: Solve real-world

Example 2-4b School The gymnasium in a new school building measures 55 feet in length. Find the length of the gymnasium in centimeters if 1 ft = centimeters. Answer: The length of the gymnasium is centimeters. Obj. #2: Solve real-world

End of Lesson 2