Unit 4 Lesson 9 Day 1 Absolute Value

Unit 4 Lesson 9 Day 1 Absolute Value Functions Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Common Core Standards: F. IF. 4, F. IF. 7. b

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Do Now: Yellow Unit 4 p. 24 -4 #2 & 3 Week's HW – Castle Learning Assignment #11 Absolute Value p. 22 – 24 Due Friday. Show work for #9, 10, 13, 14 and Annotate #4. It will be collected Friday.

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Do Now - Yellow p. 24 -4 #2 & 3 +40 x 8 y = 40 x – 16 8 8 8 y = 5 x – 2 X b=6 m = -2/1 X

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Notes - Yellow p. 25 2 nd – 0 (Catalogue) – abs( Math –> Num – 1: abs(

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Calculator Practice – Yellow Packet p. 25 #7 – 12 2 nd – 0 (Catalogue) – abs( 23 8 17 18 5 19

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. Guided Practice – Yellow Packet p. 26 6 4 2 0 2 4 6 V-shaped Graph Turning Point (0, 0) Has Symmetry

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. Guided Practice – Yellow Packet p. 26 x - values y - values x=0 or (0, 0) or or y=0 or (0, 0) or or

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. Guided Practice – Yellow Packet p. 26 or or Min y=0 or (0, 0)

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Guided Practice – Yellow p. 27 #1 Math –> Num – 1: abs( 2 nd – Catalogue – abs( Shift Up 3 Shift Down 5 x h(x) x f(x) x -3 -2 3 2 -3 -2 6 5 -3 -2 -2 -3 -1 1 -1 4 -1 -4 0 1 0 1 3 4 0 1 -5 -4 2 2 2 5 2 -3 3 6 3 -2 g(x) Find the Turning Point on the Table of Calculator and put three values above and below it

Explain how the graph has changed: When you ADD outside the absolute value symbol the graph is translated (shifted) UP. When you SUBTRACT outside the absolute value symbol the graph is translated Down.

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Independent Task – Yellow p. 27 #2 2 nd – Catalogue – abs( Shift Left 2 Shift Right 3 g(x) x h(x) -5 -4 3 2 0 1 3 2 1 -3 1 2 1 0 1 -2 -1 0 1 3 4 0 1 2 2 0 2 5 2 3 3 1 3 6 3 x f(x) -3 -2 3 2 -1 x Find the Turning Point on the Table of Calculator and put three values above and below it

Explain how the graph has changed: When you ADD within the absolute value symbol the graph is translated (shifted) to the LEFT. When you SUBTRACT within the absolute value symbol the graph is translated to the RIGHT.

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Independent Task – Yellow p. 27 #3 A C B D

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Independent Task - Regents Questions Yellow p. 28 X X X

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Independent Task - Regents Questions Yellow p. 28 X

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Independent Task - Regents Questions Yellow p. 28

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Independent Task - Regents Questions Yellow p. 28 x y -7 -6 -5 -4 -3 -2 -1 0 1 8 6 4 2 0 2 4 6 8

Learning Objective: During the period SWBAT model and evaluate absolute value functions by using the graphing calculator to interpret shifts of the graph, the value of the functions and identifying the domain and range. This will be evidenced by successful completion of the group task. Exit Ticket – p. 45 #3

Concepts Yellow Finish p. 27 - 28 Yellow Finish p. 24

Closure How can you determine if two expressions are equivalent? Week's HW – Castle Learning Assignment #10 Modeling with Linear Functions p. 19 -21 Due Friday. Show work for #4, 5, 6, 8, 11. It will be collected Friday.