Rewriting Quadratic Equations
Standard Form to
Vertex Form
© 2013 Caryn White
1
Rewriting Quadratic Equation from Standard to Vertex Form
By Caryn White
Table of Contents
Instructions ............................................................................................................................................................................. 3
Version 1 ................................................................................................................................................................................. 4
Version 2 ................................................................................................................................................................................. 5
Bulletin Board Version ............................................................................................................................................................ 6
Key........................................................................................................................................................................................... 9
Credits ................................................................................................................................................................................... 10
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© 2013 Caryn White
2
Instructions
This sort is designed for students to work individually, in pairs, or small groups.
Skill practice:


Changing equations from standard form to vertex form (using completing the squares or vertex formula)
Changing equations from vertex form to standard form
How to use: This activity is a wrap-around one, meaning you can start with any card. Students pick any card to begin with. Rewrite
the equation to another format and find the matching equation on another card. They continue until they return to the original
card.
I have also included a large version (with 2 extra problems). Place magnets on the back of these cards and you have an interactive
bulletin board. I leave a set on my black board for students to work when they finish early.
Differentiation
You have 2 levels of difficulty, which is great for differentiation. In level one, all the equations have an a value of 1 and an even b
value. In level two, the equations have any a value and an even b value. Students can be given the domino set that meets their level
of understanding. This can be done without their knowledge or you can give the students the option to pick the set they are
comfortable with.
As a review activity, I tell students they need to be able to rewrite equations going both directions (from standard to vertex and vice
versa). So pick the level they want to practice and the direction they need to practice. Students are all using the same activity but
are working at 2 levels and practice 2 skills.
Possible Uses
 Review station for test

Math Station for student that have completed their work

Alternative to homework

Bell work

Check for understanding (middle or end of lesson)

Short Game to get student refocused on math
Preparation
Be sure to only cut the solid lines.
Dominoes Order (KEY)
A
I
G
C
J
F
B
D
H
E
L
K
Shift to match student start card.
© 2013 Caryn White
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Version 1
y = (x – 1)2 – 5 y = (x+3)2 – 7
y = x2 - 6x+14
y = x2 – 4x – 2
y = (x – 3)2+5 y = (x – 2)2 – 6
y = x2 – 6x+5 y = x2 +8x+18
y = (x – 3)2 - 4 y = (x+4)2+ 2
y = x2+4x+5
y = x2 - 8x+13
y = (x + 2)2+1 y = (x – 4)2 – 3
y = x2 +16x+65
y = x2 – 2x+ 2
y = (x + 8)2+1 y = (x – 1)2 + 1
y = x2 +6x+2
© 2013 Caryn White
y = x2 – 2x – 4
4
Version 2
y = -(x+2)2 – 2
y = 2(x–2)2 +3
y = 2x2 – 4x+3 y = x2 – 6x + 6
y = 2(x–1)2 +1 y = (x – 3)2 – 3
y = - x2+8x–11 y = 3x2+18x+32
y = -(x- 4)2 +5 y = 3(x+3)2 +5
y = - 2x2–8x–2 y = - 2x2+8x–11
y = - 2(x+2)2+6 y = - 2(x–2)2 –3
y = x2 +8x+11 y = 3x2 –12x+8
y = (x+4)2 – 5 y = 3(x–2)2 – 4
y = 2x2–8x+11 y = - x2 –4x–6
© 2013 Caryn White
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Bulletin Board Version
2
2
y = (x+3) – 7 y = 2(x–2) +3
2
y = 2x – 4x+3
2
y = x – 6x+6
2
2
y = 2(x–1) +1 y = (x – 3) – 3
2
2
y = - x +8x–11 y=3x +18x+32
© 2013 Caryn White
6
2
y = -(x- 4) +5 y = 3(x+3) +5
2
2
y = - 2x –8x–2
2
y= - 2x +8x–11
2
y= - 2(x+2) +6 y = - 2(x–2) –3
2
2
2
y = x +8x+11 y = 3x –12x+8
© 2013 Caryn White
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2
2
y = (x+4) – 5 y = 3(x–2) – 4
2
2
y = 2x –8x+11 y = - x –4x–6
2
2
y = (x – 4) – 3 y = -(x+2) –2
2
y = x +6x+2
© 2013 Caryn White
2
y = x - 8x+13
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Key
A
I
G
C
J
F
B
D
H
E
© 2013 Caryn White
y = x2 - 6x + 14
y = 2x2 – 4x + 3
y = (x2 – 6x + 9) + 14 – 9
y = 2 (x2 -2x + 1) +3 -2
y = (x – 3)2 + 5
y = 2 (x – 1)2 + 1
y = x2 - 6x + 5
y = -x2 + 8x – 11
y = (x2 - 6x + 9) + 5 – 9
y = -1 (x2 – 8x + 16) – 11 + 16
y = (x - 3)2 -4
y = - (x – 4)2 + 5
y = x2 + 4x + 5
y = -2x2 – 8x – 2
y = (x2 + 4x + 4) + 5 – 4
y = -2 (x2 + 4x + 4) – 2 + 8
y = (x + 2)2 + 1
y = -2 (x + 2)2 + 6
y = x2 + 16x + 65
y = x2 + 8x +11
y = (x2 + 16x + 64) + 65 – 64
y = (x2 + 8x + 16) + 11 – 16
y = (x + 8)2 + 1
y = (x + 4)2 – 5
y = x2 + 6x + 2
y = 2x2 – 8x + 11
y = (x2 + 6x + 9) + 2 - 9
y = 2 (x2 – 4x + 4) + 11 – 8
y = (x + 3)2 – 7
y = 2 (x – 2)2 + 3
y = x2 - 4x + 2
y = x2 – 6x + 6
y = (x2 – 4x + 4) – 2 – 4
y = (x2 – 6x + 9) + 6 – 9
y = (x - 2)2 - 6
y = (x – 3)2 – 3
y = x2 + 8x + 18
y = 3x2 + 18x +32
y = (x2 + 8x + 16) + 18 -16
y = 3 (x2 + 6x + 9) + 32 – 27
y = (x + 4)2 + 2
y = 3 (x + 3)2 + 5
y = x2 - 8x + 13
y = -2x2 + 8x – 11
y = (x2 – 8x + 16) + 13 – 16
y = -2 (x2 – 4x + 4)– 11 + 8
y = (x – 4)2 – 3
y = -2 (x – 2)2 – 3
y = x2 – 2x + 2
y = 3x2 – 12x + 8
y = (x2 – 2x + 1) + 2 – 1
y = 3 (x2 – 4x + 4) + 8 – 12
y = (x – 1)2 + 1
y = 3 (x – 2)2 – 4
y = x2 – 2x – 4
y = -x2 – 4x – 6
y = (x2 – 2x + 1) – 4 – 1
y = - (x2 + 4x + 4) – 6 + 4
y = (x – 1)2 – 5
y = - (x + 2)2 – 2
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Credits
Cover Page Graphics from
© 2013 Caryn White
Alphabet People from
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