warm up 9/08 1. factor 2. solve by factor. be seated before the bell rings desk homework warm-up (in...
DESCRIPTION
Notebook Table of content Page 1 1 1) 1-1 Sets of Numbers /1.2 Properties of Numbers 5.4 Solve Quadratics by Completing the Square 7) 2.3 & ) /5.3 Solve quadratics by factoring 11) 5.4 Solve Quadratics by Completing the SquareTRANSCRIPT
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Warm up 9/08 1. Factor 22 9 7x x
2. Solve by Factor 24 12 9y x x
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Be seated before the bell rings
DESK
homeworkWarm-up (in your notes)
Ch 5 test tues 9/15
Agenda:
WarmupGo over hw/Quiz
Notes 5.4 & 5.5
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NotebookTable of content
Page1
1
1) 1-1 Sets of Numbers /1.2 Properties of Numbers
5.4 Solve Quadratics by Completing the Square
7) 2.3 & 2.4
10) /5.3 Solve quadratics by factoring
11) 5.4 Solve Quadratics by Completing the Square
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● 5.4: I can solve a quadratic equation by using
square roots● 5.4: I can solve a quadratic equation by using the
complete the square method.
● 5.4: I can re-write a quadratic function in vertex
form by completing the square.
● 5.6: I can find the zeros/solutions of a quadratic
equation using the quadratic formula
Learning Targets
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5.4 Solve Quadratics by completing the square
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5.4 Solve Quadratics by completing the square
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Now try working backwards. Rewrite the following standard form quadratic expressions as perfect squares
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2 10 25 27x x
5.4 : Solve Quadratics by completing the squareRewrite from standard form to Factor form. Solve: Example:
25 27x
5 27x
5 9 3x
5 3 3x 5 3 3x
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http://www.glencoe.com/sites/common_assets/mathematics/ebook_assets/vmf/VMF-Interface.html
Complete the square:
Draw a sketch Rewrite Factor form and solve
We would need to add in 13 ones to make it a square!
2 8 3 0x x 2 8 3 ___ 0 ____x x 13 13
2 8 16 13x x
24 13x
4 13x
4 13x
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Variable terms on right side, constant on left
If needed
2/ 2b To both sides
To square factor form
By taking the square root.
2 12 ___ 32 ____x x 36 36
26 4x
6 2x
6 2x
4x 8x
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2 8 ___ 6 ____x x 16 16
24 10x
4 10x
6 10x
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2 6 ___ 27 ____x x 9 9
23 36x
3 6x
3 6x
3x 9x
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2 5 ___ 3 ____x x 25/4 25/4
25 1343
x
5 133 4
x
5 133 2
x
10 3 136 6
x 10 3 13
6x or orSimplify
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2 12 ___ 32 ____x x 36 36
26 4x
6 2x
6 2x
4x 8x