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Algebra A
Unit 4 – Multiplication
5-3
Name:_____________________
Date:________ Period:________
How can I generalize the process?
Using Generic Rectangles to Multiply
1.
Use the Distributive property to find each product below.
2.
Write the area as a product and as a sum
for the composite rectangle shown at right.
3.
Now examine the following diagram. How is it similar to the set of tiles in the last
problem? How is it different? Write down all your observations.
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4.
Diagrams like the one on the last problem are referred to as generic rectangles.
Generic rectangles allow you to use an area model to multiply expressions without
using algebra tiles. Using this model, you can multiply with values that are difficult
to represent with tiles.
Find the area of each part and write the area of the whole rectangle as a product
and as a sum.
5.
Multiply and simplify the following expressions using either a generic rectangle or
the Distributive Property.
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6.
THE GENERIC RECTANGLE CHALLENGE
Fill in the missing dimensions and areas. Then write the entire area as a product
and as a sum.
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How can I generalize the process?
Using Generic Rectangles to Multiply
Review/Preview
1.
Multiply the following expressions. Write each solution both as a sum and as a
product.
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2.
Solve each equation below for x. Then check your solutions.
3.
Copy and complete each of the Diamond Problems below. The
pattern used in the Diamond Problems is shown at right.
4.
Review what you know about graphs by answering the following questions.
a.
Find the equation of the line graphed at right.
b.
What are the x- and y-intercepts?
c.
On the axes at right, graph a line parallel to the
line graphed, but through the origin ( 0 , 0 ).
Find the equation of this new line.
5.
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