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Wednesday, 201810224 Proportional Reasoning

B.A.SSE.A.2. Use algebraic structures to solve problems involving proportional reasoning in real world context. Wednesday, 201810224 Proportional Reasoning. EQ10: How do we use algebraic structures to solve proportional reasoning problems?. Objective :

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Wednesday, 201810224 Proportional Reasoning

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  1. B.A.SSE.A.2. Use algebraic structures to solve problems involving proportional reasoning in real world context. Wednesday, 201810224Proportional Reasoning EQ10: How do we use algebraic structures to solve proportional reasoning problems? Objective: Compare two different proportional relationships represented in different ways.

  2. Wednesday, 20181024 Essential Questions • EQ10: How do we use algebraic structures to solve proportional reasoning problems? Vocabulary: • Unit rates • Fractions • Solving Proportions • Ratios • Finding percent and calculating percent of a number • Determining constant of proportionality (slope) from tables of values, graphs, and algebraic relations • Interpreting constants of proportionality (slope) on a graph • Proportional Reasoning Agenda Bridge Math • Store your phones • Find your seat • Bellwork: N2K • Calculator • Proportional reasoning problems/ Group Stations • Exit Ticket or Flipgrid Exit Ticket • Remain in seat until bell rings. Teacher Dismisses NOT the bell. No Sleeping! It’s always a great day to be a Wolverine!

  3. Bellwork: Wednesday, N2K, 20181024 1st Question: 4 corners Critical Thinking activity The N2K is in labeled folders around the room. (Or display on screen). Please find your A, B, C, or D to answer the questions. ***See the yellow sticky note on your desk to find your assigned folder question. 2nd Question: Ask students to select multiplecorrect answers from many options. Mr. Short and Mr. Tall When Mr. Short is measured in paper clips, he is 6 paper clips tall. When he is measured in buttons, he is 4 buttons tall. Mr. Short has a friend named Mr. Tall. When Mr. Tall is measured in buttons, he is 6 buttons tall. How many paper clips tall is Mr. Tall? • Mr. Short and Mr. Tall can be compared with ratios and proportions.. • Mr. Short’s ratio is 6/4. • Mr. Tall’s ratio is 9/6. He is 9 paperclips tall. • To find the ratios, divide. 6/4=1.5. Then: 1.5 * 6 = 9

  4. Bellwork: Wednesday, N2K, 20181017 • Absolute: $300, the investments are the same. • Aaron Invested more than Pat and earned more. • Relative: Pat’s return on her investment is 60% of her investment.. • Relative: Aaron’s return is 100% of his investment.

  5. Remember…. • A ratio is a comparison of two quantities by division. • A ratio compares part to part or part to whole. • A ratio can be written 3 different ways… n/d n:d or “n to d” or “n out of d”

  6. Proportional Reasoning Ratios/Rates Proportions

  7. B.A.SSE.A.2. Use algebraic structures to solve problems involving proportional reasoning in real world context. Monday, 20181022Proportional Reasoning EQ10: How do we use algebraic structures to solve proportional reasoning problems?

  8. EQ9 Proportional Reasoning/Ratios That's All Folks! Get Ready for the EXIT TICKET!!!

  9. EXIT TICKET What is a ratio? A ratio is a comparison of two quantities by division. How do we represent a ratio. Name three ways. A ratio can be written 3 different ways… n/d n:d or “n to d” or “n out of d” When we write a ratio explain why order matters. Order matters. Whatever is mentioned first in the question is what goes first in the ratio.

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