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3. MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.5.e – For a function that models a linear or nonlinear relationship between two quantities, interpret key features of graphs and tables in terms of quantities, and sketch graphs showing key features of graphs and tables in terms of quantities, and sketch graphs showing key features given a verbal description of the relationship.  A.7.d – Compare properties of two linear or quadratic functions each represented in a different way (algebraically, numerically in tables, graphically or by verbal descriptions).

4. MATHEMATICAL REASONING INSTITUTE Process  Go back to the same group that you worked the original problems with  Pair your group with another group to form new group of six  Check your answers in the back of the book for each set of work  Discuss challenges and talk through thinking Group Work Review and Discussion 4

5. MATHEMATICAL REASONING INSTITUTE Small Group Exercise! Common Core Achieve Exercise Book pp. 67-68, #’s 1-11

6. MATHEMATICAL REASONING INSTITUTE Small Group Exercise! Common Core Achieve Exercise Book by McGraw Hill pp. 71-72, #’s 3-7

7. MATHEMATICAL REASONING INSTITUTE Process  Number off 1, 2, 3  Will have 3 groups  Plant A, Plant B, and Plant C  Employees of the plants must take the information given and produce other formats  Put table of ordered pairs and the graph for each plant on chart Compare Quadratic Functions Skill Builder Activity 7

8. MATHEMATICAL REASONING INSTITUTE 8 Quadratic Functions Skill Builder Activity

9. MATHEMATICAL REASONING INSTITUTE 1.Which plant spends the least on packaging for each of the six doll sizes? 2.If your decision is limited to requiring all of the plants to follow the current packaging system of one of the plants, which plant’s system would you choose in order to minimize costs? Why? Compare Quadratic Functions Skill Builder Activity

10. Reflections of Learning 10

11. MATHEMATICAL REASONING INSTITUTE Process  What was the most difficult thing for you today?  What was the most enjoyable thing for you today?  What else do you feel you need to be successful in your teaching of this content? What have you learned? 11

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