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Warm-up (independent, level 0 noise): Please complete this in your journal below the CQ. 1.1 ÷ 2.3 - 2 Warm-up (independent, level 0 noise): Please complete this in your journal below the CQ. 1.1 ÷ 2.3 - 2 Challenge Question: How do we recognize, represent and analyze proportional relationships using our knowledge of division and solving equations? Directions: Please come in and get your journal. On your next blank page, write today’s date on the top line. Title this page ~ Ratios and Proportions. Below the date, write the Challenge Question. Friday, January 17, 2014
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Ratios and Proportions
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Presentation Today, we start on Unit 8 ~ Ratios, Proportions, Unit Rates and Scale Factor. Your understanding of equivalent fractions and solving equations will be essential to your success in this unit.
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Presentation What is a ratio? –A ratio shows the relative sizes of two or more values. –3 ways to write a ratio: 1.Part : Part (Part : Whole) 2. or 3.Part to Part (Part to Whole) As a fraction
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How do we compare Numbers? A basketball player shoots 8 free throws in a game. She makes 5 out of 8. How might we state this fact using ratios?
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Ways to Write Ratios 5:8 5 to 8 5 out of 8
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Another Ratio What is another ratio we could write to describe making 5 out of 8 free throws? 5:3 the ratio of made shots to missed shots 3:8 the ratio of missed shots to total shots
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Making Predictions Over the course of a season, the 5:8 player will shoot 72 free throws. Use a ratio to predict how many shots the player will make. FT made FT taken FT made FT taken
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Key Vocabulary Equivalent Ratios are two ratios with the same value. –Example: 2:3 and 4:6 are equivalent ratios. Write an example of an equivalent ratio to 5:7
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Proportion = 2 ratios that are equivalent to each other. Key Vocabulary apples oranges apples oranges **You can solve for x by using cross-multiplication**
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Presentation: How did we do today? Did we complete the daily warm-up with 0 noise level? Did we maintain classroom operating procedures? Did we take all the notes without being asked several times?
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Learning Together Complete the Problem Solving with Ratios worksheet with your partner.
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Learning Together: How did we do today? Did we maintain classroom operating procedures? Did we work toward our learning goals? I can use my knowledge of equivalent fractions and solving equations to find equivalent ratios and solve proportions. Did we stay on topic (no sidebar conversations) to complete the tasks?
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Just For Me Complete Stations 1-3 by yourself. If you have a question, please raise your hand and ask me. Do not ask your partner!
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Just for Me: How did we do today? Did we maintain classroom operating procedures including 0 noise level? Did we work toward our learning goals? I can use my knowledge of equivalent fractions and solving equations to find equivalent ratios and solve proportions. Did we ask Mrs. Camp for help instead of our partner?
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Assessment Complete Station 4 When you are finished, make sure that your name is on your paper and turn it in to your class bin.
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Wrap-Up Homework: Complete Stations 1-4 (if you did not finish in class today, due on Tuesday at the beginning of class) Supplies: Put your journal in the class bin (if you do not need it at home) and place any supplies used back in the supply bins.
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How did we do today? Did we maintain classroom operating procedures? Did we work toward our learning goals? I can use my knowledge of equivalent fractions and solving equations to find equivalent ratios and solve proportions. Did we complete the tasks? Wrap-Up
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