33­35 factoring with algebra tiles.notebook
May 22, 2014
LT 2c: I can factor quadratic equations using algebra tiles.
p.33
What is factoring?
Finding what is multiplied together to get the expression.
How can I factor a quadratic equation?
1) __________________________________________.
What is an algebra tile?
2) __________________________________________.
How do I represent the area of 1 with a shape?
How do I represent the area of x with a shape?
How do I represent the area of x2 with a shape?
Factor each quadratic equation.
x2 + 6x +8
2x2 + 7x +3
factors: ________________
factors: ________________
Summary :
33­35 factoring with algebra tiles.notebook
CW
p.34­35 (1,4,8,9)
May 22, 2014
P
p.34­35 (all)
p.34
Factor each quadratic equation.
1.
x2 + 6x + 5
factors: ______________________
3. x2 + 5x + 4
factors: ______________________
5. 4x2 + 9x + 2
factors: ______________________
2. x2 + 5x + 6
factors: ____________________
4. 2x2 + 5x + 3
factors: ____________________
6.
4x2 + 11x + 6
factors: ____________________
33­35 factoring with algebra tiles.notebook
May 22, 2014
Remembering
p.35
7.
Isetta graphed three equations on the same graph, but cannot tell which graph goes with each equation. Explain how she can tell just by looking at the graphs.
A
B C
match
explain
y = 9x ____, _______________________________.
y = (0.2)x ____, ____________________________.
y = 3x ____, _______________________________.
8.
Sketch and label the y
graph of each function.
1 x f(x) = 6( )
5
g(x) = 8(7)x 9 x h(x) = 2( )
8
x
9.
Dan graphed four equations on the same graph, but cannot tell which graph goes with each equation. Explain how he can tell just by looking at the graphs.
B C
D
match
explain
y = 9x2 + 6____, _______________________.
y = x2 ____, __________________________.
y = ­5x2 ____, _________________________.
y = 0.72x2 ____, _______________________.
A
10.
State the vertex and the line of symmetry for the graph.
Line of
Symmetry:
Vertex:
33­35 factoring with algebra tiles.notebook
IF
May 22, 2014
Box 6
Simplify by multiplying the binomial. (x + 4)(x + 3) (2x + 1)(3x + 10) 33­35 factoring with algebra tiles.notebook
May 22, 2014
IF
Box 7
Simplify.
2(x ­ 3)
3x(2x +7)
Box 8
Factor each expression
20
100
14x + 2
4x2 + 2x
p.31­32 answers
33­35 factoring with algebra tiles.notebook
May 22, 2014
33­35 factoring with algebra tiles.notebook
May 22, 2014
33­35 factoring with algebra tiles.notebook
May 22, 2014
1­6
7­8
9­11
woo
woo
woo
12­15
16­21
22­23
24­25
26­29
30­32
33­35
yee
awe
awe
awe
awe
awe
4­6
7­8
10­11
14­15
18­21
23
24­25
28­29
31­32
34­35
hoo
hoo
haa
some
some
some
some
some
36­37
Test is next Wednesday 5/28
33­35 factoring with algebra tiles.notebook
May 22, 2014
LT 2c: I can factor quadratic equations using algebra tiles.
Finding what is multiplied together to get the expression.
factor
factor
What is factoring?
p.33
area
length width = area
How can I 1) __________________________________________.
1) Arrange ALL tiles to form a rectangle.
factor a quadratic 2) Record the length and width of the rectangle (factors).
2) __________________________________________.
equation?
What is an algebra tile?
How do I represent the area of 1 with a shape?
How do I represent the area of x with a shape?
How do I represent the area of x2 with a shape?
1
Factor each quadratic equation.
x2 + 6x +8
2x2 + 7x +3
factors: ________________
factors: ________________
33­35 factoring with algebra tiles.notebook
May 22, 2014
p.33
Pencils down
infinite clone, touch and drag pieces where they belong.
x2 + 6x + 8
Pick up pencil
This is how you should draw the algebra tiles in your notes.
(x +
factors: ________________
33­35 factoring with algebra tiles.notebook
May 22, 2014
pass out algebra tiles.
2x2 + 7x + 3
Pick up pencil
This is how you should draw the algebra tiles in your notes.
(2x + 1)(x + 3)
factors: ________________
33­35 factoring with algebra tiles.notebook
Summary:
Form a rectangle to find the FACTORS (side lengths)
factor
factor
area
May 22, 2014
33­35 factoring with algebra tiles.notebook
CW
P
May 22, 2014
p.34­35 (1,4,8,9)
p.34­35 (all)
SHOW WORK!
1,4
1. (x + 5)(x + 1
4. (x + 1)(2x + 8.
8,9
9.
33­35 factoring with algebra tiles.notebook
p.34­35 answers
May 22, 2014
33­35 factoring with algebra tiles.notebook
May 22, 2014