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Unit 3 Lesson 5 Exploring Functions Using the Graphing Calculator

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1 Unit 3 Lesson 5 Exploring Functions Using the Graphing Calculator
Learning Objective: During the period SWBAT use a graphing calculator to produce tables and graphs needed to analyze functions. This will be evidenced by successful completion of the exit Ticket. Common Core Standards: F.IF.1, F.IF.2, F.IF.4

2 Do Now – Blue Packet p.24 #2 all
Learning Objective: During the period SWBAT use a graphing calculator to produce tables and graphs needed to analyze functions. This will be evidenced by successful completion of the exit Ticket. Do Now Do Now – Blue Packet p.24 #2 all Week's HW – Castle Learning Assignment #7 p Due Friday. Annotate #5. Show work for #4,8,9,10. It will be collected Friday. Quiz Thursday

3 Do Now – Blue Packet p.24 #2 all
190 The max height was 190 meters after 6 seconds. 12 seconds y x After 2 seconds the rocket was 90 meters above ground. 6 12 6<𝑡<12

4 Period 5/6 – Blue Packet p.23 #1 ALL
x −3 3 −3 −1 𝑅𝑒𝑙𝑎𝑡𝑖𝑣𝑒 𝑀𝑎𝑥= (−6, 2) (1, 4) (8, 3) (−8, −3) (−3, −4) (4, −1) 𝑅𝑒𝑙𝑎𝑡𝑖𝑣𝑒 𝑀𝑖𝑛= 𝐴𝑏𝑠𝑜𝑙𝑢𝑡𝑒 𝑀𝑎𝑥= (1, 4) 𝐴𝑏𝑠𝑜𝑙𝑢𝑡𝑒 𝑀𝑖𝑛= (−3, −4)

5 Period 5/6 – Blue Packet p.23 #1d,e
−7, 0 (−5, 0) (−1, 0) (3, 0) (5, 0) (0, 3) −8<𝑥<−6 𝑜𝑟 −3<𝑥<1 𝑜𝑟 4<𝑥<8 −6<𝑥<−3 𝑜𝑟 1<𝑥<4

6 Period 5/6 – Blue Packet p.23 #2f, g
y 𝒙=𝟎 (0, 3) 𝒙=𝟖 (8, 3) 𝒙=𝟐 (2, 3) The function is positive because it is above the x-axis.

7 Yellow p.10 #1-2 No Arrows – Domain Given −8 −7 −5 −5 −2 −3 y=2𝑥+1 1
−1 𝑦=3𝑥+4 4 1 (-3, -5)

8 Yellow p.10 #2 Arrows because NO Domain Given −6 1 −5 −2 y=−2𝑥 2 −4 −4
−6 1 −5 −2 y=−2𝑥 2 −4 −4 3 −3 −6 4 −2 −8 𝑦=𝑥−6 (2, -4)

9 Modeling : Blue Packet p.27 #2A
x y 0 −3 1 −4 2 −3

10 Modeling: Blue Packet p.27 #2B
𝑦=(𝑥−1 ) 2 −4 No Arrows – Domain Given

11 Modeling: Blue Packet p.27 #2C-2E
𝑀𝑎𝑥= 5 4, 5 𝑀𝑖𝑛= −4 (1, −4) −1 < 𝑥 < 3 X-values!!!!! 𝑥 1 < < 4

12 Modeling: Blue Packet p.27 #2F
𝑦=−3 𝑥=0 (0, −3) 𝑥=2 (2, −3) Calculator Trick Put left side of equation in Y1 and right side in Y2. Look for repeating y-values on the Table.

13 Independent Task - Blue Packet p.27 #3
How could you use your calculator to solve? Look for repeating y-values on the Table. 3 2 𝑥+7=−5𝑥−6

14 Independent Task - Blue Packet p.28 #3
How could you use your calculator to solve? Put left side of equation in Y1 and right side in Y2. Look for repeating y-values on the Table. 𝑦=23

15 Independent Task – Blue Packet p.29 #5
𝑦=−4 He is incorrect. He read the table backwards. The correct answer is: f(2) = -4

16 Closure How can the graph of a function help you solve an equation?
Week's HW – Castle Learning Assignment #7 p Due Friday. Annotate #5. Show work for #4,8,9,10. It will be collected Friday. Quiz Thursday


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