1. Game Plan October 6 th, 2010 - Do Now -Collect wiki’s/blog permission slips - -Translating verbal exp. - -Combining Like Terms - -tie-it 2gether w/ Frayer Model - -Adding/Subtracting Polys - -Focus Questions My Availability: Weds- 2:30 to 3:30 Thurs- 2:30 to 3:30 Fri- 2:30 to 3:30 Things 2 Jot Down: *Binder Check on Friday (10/8 th ) *No Friday Quiz this wk How do you get straight A’s in math?

2. Focus Questions: The anticipation guide are our focus questions for today’s lesson, in case you were wondering…

3. Do Now “anticipation guide”

4. Collect Wiki Space/ Blog Slips

5. Mad Minute

6. Algebraic Representation Representing unknown quantities is easy to do, the key is knowing the "language".

7. Things 2 Know: A variable is a letter that represents a number. An expression that contains at least one variable is called a variable expression or an algebraic expression. An algebraic expression has one or more terms. A term is a number, a variable, or a product of numbers and variables.

8. Let’s Brainstorm about the 4 Operations in Algebra

9. Tie-it all 2-gether *Be careful using "less than" - it reverses the order of things*

10. Let’s Translate Math  English Math ExpressionIn English The sum of n and 5 5 more than n 3 subtracted from n 3 less than n n diminished by 3 4n +1 N divided by 2 One-half of n 2 times the sum of n and 3 2(n +3) + 1 The square of a number a, divided by nine

11. Now, U Try… Math ExpressionIn English n + 1 3x + 1 The difference of fifty and ten times a number. Eight less than the product of five times a number. 2(x + 5) the quotient of 3, and 2 more than a number

12. Monomials, Binomials, & Polynomials

13. Monomials 1 (mono implies one) Words similar: Examples: 13, 3x, 57, x², 4y², 2xy, or 520x²y²

14. Binomials 2 (bi implies two) contains 2 unlike terms Words similar: Examples: 3x + 1, x² - 4x, 2x + y, or y - y²

15. Trinomials 3 (tri implies three) contains 3 unlike terms Words similar: Examples: x 2 + 2x + 1, 3x² - 4x + 10 2x + 3y + 2

16. Polynomials poly implies many contains many unlike terms Words similar: Examples: x 2 + 2x 3x 3 + x² + 5x + 6 4x - 6y + 8

17. Like Terms 4x and 3NOT like termsThe second term has no variable 4x and 3yNOT like termsThe second term now has a variable, BUT not the same variable 4x and 3x 2 NOT like termsThe second term now has the same variable, but the degree is different 4x and 3xLIKE TERMS____ match And _____ match  Monomials that have the same variable factors are called like terms.

18. Frayer Model

19. Let’s Dissect: -5w – 9 + w 2 + 1 -10w + 17xy CoefficientsVariables TermsLike Terms ConstantsFocus Questions: Expression or Equation? How is each term separated from one another?

20. How Do I Simplify Expressions? -Distribute when possible -Identify the Like Terms -Collect Like Terms -Continue until there are no parenthesis & no like terms

21. Now Let’s Simplify… -5w – 9 + w 2 + 1 -10w + 17xy

22. Example: (5x – 1) + (10x 2 + 7x)

23. Example: (20x 2 + 2) + (15x 2 - 8) + (3x 2 - 4) What operation is combining like terms? ____________.

24. Adding Polynomials: Add 5x 2 + 7x – 2 and 9x 2 – 12x + 13 Add 5x – 1, 3x + 4, and 9x – 7

25. Einstein! Find the missing term: (x 2 + 6x + 7) + (3x 2 + __ + 1) = 4x 2 + 13x + 8

26. Subtracting Polynomials Remember to Distribute the Subtraction Sign!! Then follow the steps for adding polynomials. Be careful of the wording. Ex: -(x + 2)

27. Don’t Fall Into the TRAP, when you subtract polynomials: (2x 2 - 4) - (x 2 + 3x - 3)(-6m - 2q + 8) - (2m + 2q + 7) Subtract 2x 2 + 9x – 3 from 5x 2 – 7x - 1 Subtract -8y 2 – y + 5 from 2y 2 + 9

28. Einstein! Find the missing term: (x 2 + 4x + 8) - (3x 2 + __ + 6) = -2x 2 - x + 2

29. Problem Solving Strategies? What Would Mathematicians Do?!?

30. Don’t be shy and Use Them! Find a Pattern Make a Table Work Backwards Guess and Check Draw a Picture Make a List Write a Number Sentence Reasoning

31. Ticket Out: U-Try The lengths of the correct paths through a maze are represented by 3x 2 + 6, 2x 2 – x, 7x + 2, 5x 2 - 3, -4x 2 + 1, and 8x + 3. Which of the answers represents the length of the correct path through the maze? A] 6x 2 + 9 B] 6x 2 + 14x + 9 C] 14x 2 + 14x + 9