Download Factoring Power Point day 3 added File

Warm-Up 3/23
What is the area and perimeter of a rectangle in
simplest form if the side lengths are 3x – 4 and
2x + 1?
Warm-Up 3/23
Prime numbers –whole numbers that have
exactly two factors, 1 and itself.
Using the above definition, list as many prime
numbers as you can starting with 1.
1, __ , __ , __ , __ , __ , __ ,
Opening
Watch Video: Finding the GCF
http://www.phschool.com/atschool/academy12
3/english/academy123_content/wl-bookdemo/ph-877s.html
Warm-Up 3/24
A rental car costs $150 a week, plus $0.10 per
mile. Which equation represents the
relationship between the number of miles, x,
and the total cost in dollars, y, for a two week
rental? A.5.C (R)
A. y = 150 + 2(0.10x)
B. y = 2(150)(0.10x)
C. y = 2(150 + 0.10x)
D. y = 2(150) + 0.10x
Opening
List all factors of 12.
List all factors of 36.
What would be the GCF between 12 and 36?
Opening
Use Prime Factorization to find the GCF of…
1. 18
24
2. 72ab
36b
Now Try…
3. 32x3
96xy2
Work Time
Find the GCF:
1. 100ab
50ab2
2. 28x2y
35xy
3. 64x5
24x3
Work Time
Find the GCF:
1. 100ab
50ab2
2. 28x2y
35xy
3. 64x5
24x3
Closing
Show 2 or 3 different ways to factor:
64x5
24x3
64x5
24x3
From Yesterday…
Find the GCF:- Check your answers
from yesterday.
1. 100ab
50ab2 - GCF = 50ab
2. 28x2y
35xy - GCF = 7xy
3. 64x5
24x3 - GCF = 8x3
Warm-Up 3/19
Find the GCF of the 3 terms:
4x
6
6x
4
10x
2
Factoring with the GCF
Work Backwards:
2x2
?
?
4x6
6x4
?
10x2
Factoring with the GCF
Work Backwards:
?
3x2
9x4
?
18x3
?
3x2
Factoring with the GCF
Work Backwards:
?
4p
20p3
?
16p2
?
-12p
3.Factoring
Factoringwith
Polynomials
the GCF
Work Backwards:
2x4
?
?
16x8
14x7
?
4x6
?
10x4
3.Factoring
Factoringwith
Polynomials
the GCF
Work Backwards:
?
2x2y
4x6y3
?
10x3y4
?
6x2y
Factoring with the GCF
Work Backwards:
?
6x3y2
12x8y3
?
18x3y4
?
6x4y2
Factoring with the GCF
Find GCF:
4x
GCF:
Now Factor: (4x + 12)
12
3. Factoring
FactoringPolynomialswith the GCFGCF
Find the GCF of these 3 terms:
9x2
12x
GCF:
Now Factor: (9x2 + 12x – 6)
-6
3. Factoring
PolynomialsGCF
Exit
Ticket
Now Factor:
2
(9m
+ 5m)
Exit Ticket
Now Factor: (10w3 + 10w2)
Warm-Up 3/20
Factor the following trinomial:
4
40y
+
3
20y
– 60y
Objective: Students will find the factors of trinomials
by using the box method.
Opening: Factor the Trinomial
x x2 4x
+ 2 2x 8
Trinomial:
Factors:
How are 4 and 2 related to the 2nd and 3rd term?
Opening:
Factor
the Trinomial
3.) Factor
the Trinomial
2
x
3x
2x 6
Trinomial:
Factors:
How are 3 and 2 related to the 2nd and 3rd term?
Work
Factor
the Trinomial
3.)Time:
Factor
the Trinomial
2
x
2x
5x 10
Trinomial:
Factors:
How are 5 and 2 related to the 2nd and 3rd term?
Work
Factor
the Trinomial
3.)Time:
Factor
the Trinomial
2
x
-3x
-3x 9
Trinomial:
Factors:
How are -3 and -3 related to the 2nd and 3rd term?
Work
Factor
the Trinomial
3.)Time:
Factor
the Trinomial
2
x
-3x
-12
Trinomial:
Factors:
How can we find that empty square?
Work
the Trinomial
3.)Time:
FactorFactor
the Trinomial
2
x
-8x 72
Trinomial:
Factors:
How can we find that empty square?
ofTrinomial
the Day
3.) Question
Factor the
How does knowing the sum
and product of specific
numbers help you to find the
factors of a trinomial?
Teach: Factor the Trinomial
2
x
10
(
)(
)=
2
x
+ 11x + 10
Teach: Factor the Trinomial
2
x
24
(
)(
)=
2
x
– 11x + 24
Work Time: Factor the Trinomial
(
)(
)=
2
x
+ 10x + 25
Close: Factor the Trinomial
(
)(
)=
2
x
– 1x – 42
Warm-Up 3/21
Think of 2 numbers
that multiply to be the
top number and add
to be the bottom
number.
Opening
How do you know if you need to factor out the
GCF or factor using the box method?
Example
x2 + 7x + 12
8x3 + 4x2 + x
Work Time
Students will practice factoring with GCF and by
box.
Closing
Pick a problem that was a challenge.
Warm-Up 3/22
Factor the trinomial:
2
x
+ 14x + 24
Opening 3/22
What happens when the coefficient of x2 is not
1?
Example: 2x2 + 7x – 9
Opening 3/22
What happens when the coefficient of x2 is not
1?
Example: 3x2 + 8x + 4
Work Time 3/22
Students factor when a > 1.
Closing 3/22
Pick 1 or 2 problems to share.
Warm-Up 3/25
Factor the trinomial:
2
x
– 11x + 30
Opening 3/25
Factor the trinomial:
2
2x
+ 8x – 10
Difference of Squares
Now Factor:
x2 – 36
2
x
?
?
-36
Difference of Squares
Factor:
1.
2.
3.
4.
5.
(x2 – 16) =
(x2 – 25) =
(x2 – 100) =
(x2 – 144) =
(x2 + 4) =
Check:
Work Time
Practice when a = 1, a > 1, and difference of
squares.
Exit Ticket
5. Given the following rectangle with area of x2 – 36, what are possible
dimensions for the length and width ?
X2 – 36
Which of these dimensions are possible side lengths?
I
(x + 6)
A. I and IV
C. II only
II
(x – 6)
III
(x – 1)
B. I and II
D. I, II, III, IV
IV
(x + 36)
Warm-Up 3/26
Factor the trinomial:
2
4x
+ 3x – 10
Work Time
Quiz
Warm-Up 3/27
Which value of c makes the
2
expression x + 10x + c
2
factor to (x + 5) ?