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Classroom Procedures Entering the classroom: C onversation – No, Voice level 0 H elp – Yes, raise your hand A ctivity – Entering the classroom – Independent seatwork M ovement – Sharpen pencil – Get supplies – Take your seat P articipation – Write (eyes ONLY on your own work) – Listen, answer, ask questions, & share S uccess – Agenda Complete – Warm-up complete – Great Job!

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Classroom Procedures Cooperative Groups: C onversation – Talk quietly to another student – Voice level 2 (Quiet voice) H elp – Ask any student in your group or cluster. – At least two people raise their hands. A ctivity – Small group instruction M ovement – Sharpen pencil – While out of seat Do NOT talk to another student P articipation – Listen, answer, ask questions, & share – Take notes S uccess – Excellent work!

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Proportion Set-up Teddy types 23 words per minute. How many words can Teddy type in 15 minutes? Write 4 proportion that can be used to find solve this problem.

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10/18/12 Proportions The student will… write and solve proportions For the purpose of… applying proportions to real life problem situations As measured by… 100% success on independent guided practice

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Classroom Procedures Direct Instruction: C onversation – No talking to another student – Raise your hand and wait to be called on H elp – Yes, raise your hand. A ctivity – Whole-class Instruction (Students at desk) M ovement – Sharpen pencil – While out of seat Do NOT talk to another student P articipation – Listen and take notes – Listen, answer, ask questions, & share S uccess – Great job, class! – Well done!

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Vocabulary Proportion: An equation that states that two ratios are equivalent. Cross products: Vocabulary Proportions Scale model: The dimensions of a scale model are proportional to the dimensions of the actual object. Scale: The scale gives the relationship between the model’s dimensions and the actual objects dimensions.

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EXAMPLE 1 Writing and Solving Proportions Renting Movies On Tuesday, you paid $7.47 to rent movies. On Friday, you rent 5 movies for a total of $12.45. Each movie costs the same amount to rent. How many movies did you rent on Tuesday? SOLUTION To find how many movies you rented on Tuesday, write a proportions.

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1 st Try Writing and Solving Proportions Rhinoceros Beetles An adult rhinoceros beetle weighs only 0.525 ounce but can carry about 446.25 ounces on its back. If a person were proportionately as strong as a rhinoceros beetle, how much weight could a 100 pound person carry? 446.25 0.525 = x 100 Write a proportion ounces = pounds. 446.25 0.525 100 = x Multiply each side by 100. Simplify. 85,000x = If human strength were proportional to that of a rhinoceros beetle, a 100 pound person could carry 85,000 pounds. ANSWER

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Practice Writing and Solving Proportions Your Turn Now Directions: Solve the proportion 1. n 15 = 2 3 2. 28 16 = m 24

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EXAMPLE 2 Using Cross Products Original proportion Cross products property Multiply Divide each side by the same number Simplify

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1 st Try Using Cross Products Directions: Solve the proportion. Then check your solution.

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Practice Using Cross Products Your Turn Now Directions: Solve the proportion. Then check you solution.

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EXAMPLE 3 Standardized Test Practice ANSWER The length of the actual car is 9 feet. The correct answer is D. Model Car You are building a model car that has a total length of 6 inches. If the scale of this model is 1 inch to 1.5 feet, how long is the actual car? SOLUTION Write a verbal model Write the proportion Cross products property

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1 st Try Standardized Test Practice SOLUTION 10 ft. 1 in. = 15 ft. h in. Write a proportion. 10h = 15 Cross products property h = 1.5 Divide each side by 10. Scale Height of strawberry model Height of actual strawberry =

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Practice Standardized Test Practice Your Turn Now

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Classroom Procedures Groups Discussion: C onversation – Talk quietly to another student – Voice level 2 (Quiet voice) H elp – Raise your hand, and wait to be called on. A ctivity – Whole-class discussion M ovement – Sharpen pencil – While out of seat Do NOT talk to another student P articipation – Listen, answer, ask questions, & share – Take notes S uccess – Excellent work!

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Classroom Procedures Independent Seat Work/ Test: C onversation – Voice level 0 - No talking H elp – Yes, raise your hand. A ctivity – Individual seatwork, teacher available to help. M ovement – Sharpen pencil – While out of seat Do NOT talk to another student. P articipation – Read – Write (eyes ONLY on your own work). S uccess – Excellent!

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Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–4) Then/Now New Vocabulary Key Concept: Property of Proportions Example 1: Solve Proportions.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–4) Then/Now New Vocabulary Key Concept: Property of Proportions Example 1: Solve Proportions.

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