Name: ____________________________________ Date: __________________ Period: ____________
Factoring Using Area Models
Revisiting a Previous Lesson – Using area models to multiply binomials
Directions: For #1 & 2, use area models to find the product.
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1. (
2. (
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Directions: In the problems that follow, you are now given the area, and you must find the dimensions of the
rectangle. This is called factoring. Build a rectangle with the given area and determine the dimensions or
factors.
3.
4.
5.
6.
Directions: For #7 – 12, factor without using the tiles. Use the idea of an area model to help organize your
work. Check your work for each problem by finding the product of your factors.
7.
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12.
13. Which of the problems above is a perfect square trinomial? Make up two of your own perfect square
trinomials and factor them.
14. Which of the problems above is a difference of two squares? Make up two of your own difference of
two squares and factor them.
15.
is not factorable. Use your blocks to build a rectangle with this area. What is it about the
geometric representation of
that makes it not factorable?
Can you explain why this if not factorable using algebra?
16. Find four different values for b for which the expression
is factorable.
17. Find four different values for b for which the expression
is not factorable.
18. Find four different values for b for which the expression
is factorable.
19. Find four different values for b for which the expression
is not factorable.