Alg. 1 8-4

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8-4 Special Products

1

Multiple Choice

Simplify: (x - 9)(x - 7)

• x² - 2x - 63

• x² - 16x - 63

• x² - 2x + 63

• x² - 16x + 63

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Learning Target and Success Criteria

Learning Target

Success Criteria

●I can find squares of sums and
differences

●I can find the product of a sum
and a difference

●I will rewrite a square into two
binomials and use the method I
prefer

●If I see a difference of squares, I
will use my shortcut, if I am
comfortable

●I will use the method I feel more
comfortable with when I multiply

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Multiply

Math Response

What is the answer?

Type answer here

Correct Answer: x^2-25

Deg^°

Rad

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Multiply

Math Response

What is the answer?

Type answer here

Correct Answer: 4y^2-9

Deg^°

Rad

Poll

• A

• B

Open Ended

What happened in the two problems?

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Product of Sum and Difference

Anytime you have a problem in the following form you
have a special pattern:

“Square the first MINUS square the second”

Multiple Choice

What is the product?

$$\left(x+3\right)\left(x-3\right)$$  

• $$x^2-3$$  

• $$x-9$$  

• $$x^2-9$$  

• $$x^2+9$$  

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Learning Target and Success Criteria

Learning Target

Success Criteria

●I can find squares of sums and
differences

●I can find the product of a sum
and a difference

●I will rewrite a square into two
binomials and use the method I
prefer

●If I see a difference of squares, I
will use my shortcut, if I am
comfortable

●I will use the method I feel more
comfortable with when I multiply

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Squares of Sums

“Square the first, double the product of the first and the
second, square the last”

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Squares Differences

“Square the first, double the product of the first and the
second, square the last”

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Multiply

Math Response

What is the answer?

Type answer here

Correct Answer: x^2+4x+4

Deg^°

Rad

Poll

If you could time-travel, which period would you go to?

• The past

• The future

• I am good where I am

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Multiply

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Multiply

Multiple Choice

Simplify: (x-7)²

• x²-49

• x²+49

• x²-14x+49

• x²-14x-49

Poll

Would you rather have a mullet or be completely bald (no wigs)?

• Mullet

• Bald

Multiple Choice

What is the Product?

$$\left(2y+z\right)^2$$  

• $$4y^2+4yz+z^2$$  

• $$4y^2-4yz+z^2$$  

• $$4y^2-z^2$$  

• $$\sqrt{b-4ac}$$  

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Learning Target and Success Criteria

Learning Target

Success Criteria

●I can find squares of sums and
differences

●I can find the product of a sum
and a difference

●I will rewrite a square into two
binomials and use the method I
prefer

●If I see a difference of squares, I
will use my shortcut, if I am
comfortable

●I will use the method I feel more
comfortable with when I multiply