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Start-Up Day 4 Write your equations in Point-Slope Form. 1.Determine the equation of a line which passes through (1,-1) & is parallel to line: 2x +3 y = 8 2.Determine the equation of another line which passes through the same point, but is perpendicular to the line: 2x + 3y = 8.
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Day 3 Linear and Absolute Value Functions and Inequalities
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Objective - Students will be able to graph absolute value and linear equations and inequalities in two variables. Essential Questions: What are the differences between solving linear equations in two variables and solving linear inequalities in two variables? Home Learning: P. 118-119 #16, 20, 21, 22, 25, 30, 53, 54
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Section 2-7 p. 1-7 Absolute Value Functions
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Let’s Graph a Few with a Graphing Calculator & use what we see to make general conclusions about the graphs of Absolute Value Functions.
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Conclusions! http://www.virtualnerd.com/algebra-2/linear-equations-functions/absolute-value-piecewise- functions/absolute-value/How-Do-You-Graph-an-Absolute-Value-Function K= Vertical Translation Up or Down Vertical Stretch when |a|>1 Vertical Compression when 0 <|a|<1 Reflection when a< 0 H = horizontal translation (opposite of what you see!)
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Vertex Problem 2 – “Got It” – Your Turn Complete a table of values. What will the vertex be? Remember to place this value in the center of your table. Sketch your graph. xy 21 3 4 1 0 2 2 3 3
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Key Concept
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p.114 Graphing Linear Inequality
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Problem 1 p.115
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p.114 Graphing Linear Inequality continued
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Problem #1 “Got It” – Your Turn
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Problem 3 p.117
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Problem 3 “Got It” – Your turn steeper 1 4
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Problem 3 “Got It” continued – Your turn xy 8 06 14 26 38 vertex Test point (1, 5) makes the equation true. Shade above
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Problem 4 p. 117
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Problem 4 “Got It” – Your Turn
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Independent Practice: p.118 – 119 #17, 19, 38, 43, 44, 45
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For #44, Write an Inequality for the graph
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Exit Slip – Show Me What You Know!!!
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