Multiple Representations of Equations & What We Know. Note that the worked out our turn and your turn charts can also be used as a matching activity.

Transcription

1 Multiple Representations of s & What We California State Standards: 7 AF., 7 AF 3.3, 7 AF 3.4, Alg. 6., Alg. 7., Alg. 8. CCSS: 8.EE.6, 8.F., 8.F., 8.F.4 The idea of this lesson is to have students make connections between the multiple ways that an equation can be represented and what we know about these equations. This lesson will cover linear functions with positive and negative slopes and various vertical phase shifts. After filling out a chart with the students, we will have the students fill in their own charts beginning with a variety of different information. This process will be repeated so that students will have a chance to make connections between verbal descriptions, equations, tables of values, graphs and the information we know. Note that the worked out our turn and your turn charts can also be used as a matching activity. Also note that there are various ways students may fill out the verbal description column and convert from one form of an equation to another. Page of 7 MCC@WCCUSD /9/

2 Our Turn! Given A number y is a number x. (, ) Linear, quadratic,? _ Standard Positive, negative, zero or undefined slope? m? Is it a function? Page of 7 MCC@WCCUSD /9/

3 Our Turn! (worked out) Given Linear A number y is a number x. y x y y x y x y Standard x y y x y y y y (, ) (, ),,, (,) (,) positive slope y (,) rate of change!! It is a Function Page 3 of 7 MCC@WCCUSD /9/

4 Your Turn!! Given y x (, ) Linear, quadratic,? _ Standard Positive, negative, zero or undefined slope? rate of change? Is it a function? Page 4 of 7 MCC@WCCUSD /9/

5 Your Turn!! (worked out) Given Linear A number y is the opposite of a number x. y x y + x x + x y + x Standard x + y y x y y y y y (, ) (,),,, (, ) (,) (,) negative slope rate of change!!! It is a Function Page 5 of 7 MCC@WCCUSD /9/

6 Your Turn!! Given Standard Standard x y 3 (, ) Linear, quadratic,? _ Positive, negative, zero or undefined slope? m? Is it a function? Page 6 of 7 MCC@WCCUSD /9/

7 Your Turn!! (worked out) Given Standard Linear Standard x y 3 y x + 3 (, ) ( 3,) A number x subtracted by a number y is negative three. x y + y 3+ y x 3+ y x y x + 3 y y y y 3 3 (,),,3 (,3) positive slope y x + 3 y 4 y 5 4 5,4 (,5) m!! It is a Function Page 7 of 7 MCC@WCCUSD /9/

8 Your Turn!! Given Table of Values y 6 6 (, ) (, 6) Linear, quadratic,? _ y 5 y 4 5 4, 5, 4 Standard y 3 y 3, 3 (, ) Positive, negative, zero or undefined slope? rate of change? Is it a function? Page 8 of 7 MCC@WCCUSD /9/

9 Your Turn!! (worked out) Given Table of Values Linear A number x subtracted by a number y is four. y x 4 y + 4 x y y + 4 x y 4 x y y x 4 y 6 y 5 y (, ) (, 6), 5, 4 (4,) (, 4) positive slope y 3 3, 3 Standard x y 4 y (, ) rate of change!! It is a Function Page 9 of 7 MCC@WCCUSD /9/

10 Our Turn!! Given Graph (, ) Linear, quadratic,? _ Standard Positive, negative, zero or undefined slope? rate of change? Is it a function? Page of 7 MCC@WCCUSD /9/

11 Our Turn!! (worked out) Given Table of Values Linear Twice a number x is a number y. y x y y x y x y Standard x y y x y 4 y y y y (, ) (, 4),,, (,4) (,) (,) positive slope rate of change!! It is a Function Page of 7 MCC@WCCUSD /9/

12 Your Turn!! Given Slope and y-intercept (, ) Linear, quadratic,? _ (,) Standard Positive, negative, zero or undefined slope? m!!! Is it a function? Page of 7 MCC@WCCUSD /9/

13 Your Turn!! (worked out) Given Slope and y-intercept Linear A number y is the product of negative three and a number x. y 3x y + 3x 3x + 3x y + 3x Standard 3x + y y 3x y 6 y 3 y y 3 y (, ) (,6), 3,, 3 (, 6) (,) (,) negative slope m!!! It is a Function Page 3 of 7 MCC@WCCUSD /9/

14 Your Turn!! Given y 3x (, ) Linear, quadratic,? _ Standard Positive, negative, zero or undefined slope? rate of change? Is it a function? Page 4 of 7 MCC@WCCUSD /9/

15 Your Turn!! (worked out) Given A number y is two less than the product of three and a number x. y 3x y + 3x + y + 3x y y + 3x y y 3x y 8 y 5 y 8 5 (, ) (, 8), 5, Linear (!!, ) (, ) positive slope 3x y y, rate of change!! Standard 3x y y 4 4 (,4) It is a Function Page 5 of 7 MCC@WCCUSD /9/

16 Your Turn!! Given A number y is one more than the product of negative two and a number x. (, ) Linear, quadratic,? _ Standard Positive, negative, zero or undefined slope? m? Is it a function? Page 6 of 7 MCC@WCCUSD /9/

17 Your Turn!! (worked out) Given A number y is one more than the product of negative two and a number x. y x + y + x x + x + y + x Standard y x + y 5 y 3 y y y (, ) (,5),3,, (, 3) Linear (!!, ) (,) negative slope m!!! It is a Function x + y Page 7 of 7 MCC@WCCUSD /9/