1. Bell Ringer Write an English sentence for the mathematical expression
Write an algebraic expression for the statement
Ten monkeys plus seventeen bananas

2. Bell Ringer!
Pull out notes, write down as many English words as you can for each sign:

5. Homework
5 minutes to complete
Correct. Out of 32!

6. Add and Subtract Polynomials

7. Review

8. x + x
x·x 2x x2
What is the difference between addition and multiplication?

9. 2x + 3x
2x·3x 5x
6x2

10. 4x2 + 4x
4x2·4x
16x3
NOT LIKE TERMS!
What are like-terms again?

11. 5x2 + x2
5x2·x2
6x2
5x4

12. Adding/Subtracting Polynomials
We will discuss three methods
Algebra Tiles
Vertical Method
Horizontal Method

13. 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.

14. 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.

15. 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.

16. Modeling with Algebra Tiles
2x + 3
4x – 2
Discuss zero pairs.

17. Zero Pairs
Called zero pairs because they are additive inverses of each other.
When put together, they model zero.

18. 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”

19. 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

20. Adding Polynomials (2x + 4) + (x + 1) = 3x + 5
Hand out activity sheet
Combine like terms to get three x’s and five positive ones

21. Activity Sheet

23. Find question 4

24. 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.

25. Adding and Subtracting Polynomials

26. 9x4 – 3x2 – 6 Like Combine TERMS! (3x4 – 5x2 + 1) + (6x4 + 2x2 – 7)
Show vertical method on the board

27. 4r2 + r – 4 Like Combine TERMS! (r2 + 2r – 3) + (3r2 – r – 1)
Show vertical method on board

28. -2a5 + 4a4 + 2a2 + 5a Like Combine TERMS!
(-2a5 – 2a4 + 7a) + (6a4 + 2a2 – 2a)
-2a5
+ 4a4
+ 2a2
+ 5a
Show vertical method on board

29. c5 + 2c + 3 the Distribute Negative! (-c5 + 8c + 2) – (-2c5 + 6c – 1)
Distribute the – then show vertical method on board. c5
+ 2c
+ 3

30. If you haven’t already finished question 7, finish it then turn it in.
If you haven't already finished question 7 already, finish it. As soon as that activity is completed, turn it in

31. Bulls Eye
Do the adding and subtracting then hold onto this sheet. We will talk about multiplying next time.

32. Homework: Worksheet