The document is a lesson plan on factoring expressions with the greatest common factor (GCF). It includes warm-up problems, examples worked through step-by-step, and independent practice problems for students arranged in stations around the classroom. The lesson teaches students to find the GCF of terms in an algebraic expression and factor it out to simplify the expression. Examples include factoring expressions to find unknown side lengths of geometric shapes given their areas.
1. Day 9 Factoring with GCF Day 3.notebook January 07, 2013
AIM: Factoring Expressions
Do Now
1.) Find the area of the following
rectangles.
2 ft
3 in
5.5 ft
1
2 in
2.) Find the length of the missing side.
Area = 15 ft2 3 ft
x
1
2. Day 9 Factoring with GCF Day 3.notebook January 07, 2013
Anticipatory Set
1.) Find the area of the following
figure.
2
(x + 3)
2.) Find the length of the sides of the
following figure.
Area = 16x - 8
2
4. Day 9 Factoring with GCF Day 3.notebook January 07, 2013
Station 1
1.) Joe wants to construct a pool with the
following dimensions. What expression
would represent the area?
5 meters
(x - 4) meters
2.) What would the area be if x = 11?
4
5. Day 9 Factoring with GCF Day 3.notebook January 07, 2013
Station 2
1.) The area of a new state park needs to be
5x - 35 miles2. What would the length of the
sides be?
Area = 5x - 35 miles2
2.) What would the sides be if x = 15.5?
5
6. Day 9 Factoring with GCF Day 3.notebook January 07, 2013
Station 3
1.) When remodeling your house, your new
room must be the following dimensions.
What expression would represent the area?
4 feet
(2.5x - 1.25) ft
2.) What would the area be if x = 4?
6
7. Day 9 Factoring with GCF Day 3.notebook January 07, 2013
Station 4
1.) The area of your deck is shown below.
What would the length of the sides be?
30
Area = 14 x + feet2
5 5
2.) What would the sides be if x = 1.5?
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8. Day 9 Factoring with GCF Day 3.notebook January 07, 2013
Station 5
1.) The area of your property is found to be
18x - 30 meters2. What would the length of
the sides be?
Area =
18x - 30 meters2
2.) What would the sides be if x =
53 ?
4
8
9. Day 9 Factoring with GCF Day 3.notebook January 07, 2013
Station 6
1.) The area of all new floors on an extension
need to follow the following expression.
What would the length of the sides be?
Area = 2 2 x - 5 1 feet2
3 3
2.) What would the sides be if x = 3?
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10. Day 9 Factoring with GCF Day 3.notebook January 07, 2013
Before You Leave
1.) Create an expression using integers
that can be factored using the
procedure used in class.
2.) Create an expression using fractions
that can be factored using the procedure
used in class.
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