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3. MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  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 Different Representations Linear Function y= 2x + 5 f(x) = 2x + 5 Table of ordered pairs Graph is a line Quadratic Function y= x² f(x) = x² Table of ordered pairs Graph is a parabola 4

5. MATHEMATICAL REASONING INSTITUTE What is the question we are asked? Skill Review, p. 214, #1 5

6. MATHEMATICAL REASONING INSTITUTE Comparing Functions in Different Representations Rocket A Time After Launch (seconds) Height Above Ground (feet) How high above the ground is the rocket when it is launched? What is the maximum height the rocket reaches? How high above the ground is the rocket at 2.5 seconds? 6

7. MATHEMATICAL REASONING INSTITUTE Refer to the graph of Rocket B on p. 214 to answer these questions: How high above the ground is the rocket when it is launched? What is the maximum height the rocket reaches? How high above the ground is the rocket at 2.5 seconds? Comparing Functions in Different Representations 7

8. MATHEMATICAL REASONING INSTITUTE 1.Back to the original question. Skill Review, p. 214, #1 8

9. MATHEMATICAL REASONING INSTITUTE 2.Which statement is correct? Skill Review, p. 214, #2 9

10. MATHEMATICAL REASONING INSTITUTE 3.A car is traveling at a rate of 60 miles per hour. A truck is traveling as shown in the graph (refer to p. 214 for the graph). Which statement is correct? A.After 4 hours, the car will have traveled twice as far as the truck. B.The truck’s rate of speed is less than ½ the car’s rate of speed. C.It will take the truck 4 hours to travel the same distance that the car travels in 3 hours. D.The car’s rate of speed is ¾ the truck’s rate of speed. Skill Review, p. 214, #3

11. MATHEMATICAL REASONING INSTITUTE 4. A work day is 8 hours. Sandra’s total pay p when she works h hours is described by the equation p=21.5h. Boris’s pay is described in the table. Who earns more money per day? How much more? Skill Review, p. 214, #4 Hours Worked Total Pay 00 245 490

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

13. Afternoon Break! Please come back on time. 13