bell ringer write an english sentence for the mathematical expression write an algebraic expression...
TRANSCRIPT
Bell Ringer
Write an English sentence for the mathematical expression
Write an algebraic expression for the statementTen monkeys plus seventeen bananas
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Adding/Subtracting Polynomials
• We will discuss three methods– Algebra Tiles– Vertical Method– Horizontal Method
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Algebra Tiles
Algebra tiles can be used to model operations involving integers.
Let the small green square represent +1 and the small pink square represent -1.
The green and pink squares are additive inverses of each other.
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Algebra Tiles
Algebra tiles can be used to model operations involving variables.
Let the green rectangle represent +1x or x and the pink rectangle represent -1 x or -x .
The green and red rods are additive inverses of each other.
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Algebra Tiles
Let the green square represent x2. The pink square represents -x2.
As with integers, the green squares and the pink squares form a zero pair.
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Zero Pairs
Called zero pairs because they are additive inverses of each other.
When put together, they model zero.
Practice with Integers
Algebra tiles can be use to model adding, subtracting, multiplying, and dividing real numbers.
Remember, if you don’t have enough of something, you can add “zero pairs”
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Modeling Addition/Subtraction -2 – 3 Start with -2
Take away positive 3. But wait, I don’t have 3 so I must add zero pairs!
Now remove positive 3 You are left with -5
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Adding Polynomials
(2x + 4) + (x + 1)
Combine like terms to get three x’s and five positive ones
= 3x + 5
Work through the worksheet as partners
We will discuss two other ways to think about adding/subtracting next.
Every group needs to answer questions 1-6 completely.
Attempt Question 7.
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(-c5 + 8c + 2) – (-2c5 + 6c – 1)
Distribute the Negative!
c5 + 3+ 2c(-c5 + 8c + 2) + (2c5 – 6c + 1)
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