1. SWBAT… present Agenda 1. WU (5 min) 2. Ithaca Car Sharing presentations (40 min) Warm-Up: Grab an agenda from the front table and read it (front and back) Team collaboration rubric (if you presented today) Mon, 8/29

2. SWBAT… simplify algebraic expressions Agenda 1. WU (15 min) 2. Simplifying algebraic expressions (30 min) Warm-Up: Evaluate yourself and your team members using the team collaboration rubric. HW1: Simplifying algebraic expressions Wed, 8/31

3. SWBAT… evaluate algebraic expressions Agenda 1. WU (10 min) 2. 3 practice problems – evaluating algebraic expressions (20 min) 3. Work on HW1 (15 min) Warm-Up: Evaluate the following expressions when a = 2, b = 3, and c = -4 1.) a – 2c3.) a 2 + c 2 2.) 4.) 5.) In your own words, explain what it means to evaluate an expression. HW#1: Evaluating algebraic expressions Wed, 8/31

4. In your own words, explain what it means to evaluate an expression. My words: To replace each letter in the expression with the assigned value.

5. New Unit: Algebra: Equations and Inequalities 1. Algebraic expressions and formulas 1. Evaluating expressions 2. Simplifying algebraic expressions 1. Distributive property 2. Combining like terms 2. Linear equations in one variable 1. Solving multi-step equations using the distributive property and combining like terms 2. Solving multi-step equations with variables on both sides 3. Solving multi-step equations involving fractions 4. Solving literal equations 3. Applications of linear equations 1. Education pays off 2. Attitudes of college freshmen 3. Renting a car 4. Modeling with proportions 5. Linear inequalities in one variable

6. Evaluating an Algebraic Expression 1.) Evaluate 7 + 5(x – 4) 3 for x = 6 7 + 5(6 – 4) 3 7 + 5(2) 3 7 + 5(8) 7 + 40 47 Replace x with 6 Parenthesis first: 6 – 4 = 2 Exponents: (2) 3 = (2)(2)(2) = 8 Multiply: 5(8) = 40 Add: 7 + 40 = 47 P E M/D A/S

7. Evaluating an Algebraic Expression 2.) Evaluate x 2 + 5x – 3 for x = -6 (-6) 2 + 5(-6) – 3 36 + 5(-6) – 3 36 + (-30) – 3 6 – 3 3 Replace x with -6 Exponents: (-6) 2 = (-6)(-6) = 36 Multiply: 5(-6) = -30 Add and subtract from left to right 36 + (-30) = 6 P E M/D A/S

8. Evaluating an Algebraic Expression 3.) Evaluate -2x 2 + 5xy – y 3 for x = 4 and y = -2 -2(4) 2 + 5(4)(-2) – (-2) 3 -2(16) + 5(4)(-2) – (-8) -32 + (-40) – (-8) -72 – (-8) -64 Replace x with 4 and y with -2 Exponents: (4) 2 = 16, (-2) 3 = -8 Mult: -2(16) = -32, 5(4)(-2) = -40 Add and subtract from left to right -32 + (-40) = -72 P E M/D A/S

9. Expectation for the rest of period 1. Work on HW#1-Evaluating algebraic expressions: due tomorrow  Use your notes/practice problems  Use the back of the agenda for reference  Use each other’s help

10. SWBAT… simplify algebraic expressions Agenda 1. WU (10 min) 2. Simplifying algebraic expressions – so many examples, I lost count (20 min) 1. Distributive property 2. Combining like terms 3. Start on HW2 (10 min) Warm-Up: 1. Simplify for x = -2 and y = 4 2. Simplify -x 2 – 3xy + 4y 3 for x = -3 and y = -1 3. Simplify 10y 2 – 1 for y = √8 (square root of 8) HW#2: Simplifying algebraic expressions Thurs, 9/1 Kalo Mina!

11. The Distributive Property The process of distributing the number and/or variable on the outside of the parentheses to each term on the inside. a(b + c) a(b + c) = ab + ac a(b – c) a(b – c) = ab – ac Example #1 5(x + 7) (5)(x) + (5)(7) 5x + 35

12. Example #2 3(m – 4) (3)(m) – (3)(4) 3m – 12 Example #3 -2(y + 3) (-2)(y) + (-2)(3) -2y + (-6) -2y – 6

13. Example #4 -5(z – 9) (-5)(z) – (-5)(9) -5z +45 Example #5 -5(n 2 + n – 25) (-5)(n 2 ) + (-5)(n) – (-5)(25) -5n 2 – 5n + 125

14. Which statement demonstrates the distributive property incorrectly? 1. 3(x + y + z) = 3x + 3y + 3z 2. (a + b)c = ac + bc 3. 5(2 + 3x) = 10 + 3x 4. 6(3k – 4) = 18k – 24 Answer Now

15. The algebraic rule p = 5(2t – 20) expresses the profit, p, for a school dance in terms of the number tickets sold, t. Which is an equivalent form of this rule? Answer Now 1. p = 10t – 100 2. p = -10t – 5 3. p = 7t – 15 4. p = 10t – 20

16. SWBAT… simplify algebraic expressions Agenda 1. WU (10 min) 2. Simplifying algebraic expressions – 4 examples (10 min) 1. Combining like terms 3. 5 OYO problems (10 min) 4. Work on HW#2 (10 min) Warm-Up: 1. (4x) 2 2. -1(1x 2 – x – 6) 3. -s(o – p + h – i + a) HW#2: Simplifying algebraic expressions Tues, 9/6

17. Like Terms are terms with the same variable AND the same exponent. Example #1: Like Terms Simplify: 5x – 4x 2 – 7x + 14x 2 Answer: 10x 2 – 2x

18. 2.) -4d – 6a 2 +2d – 12a 2 Answer: -18a 2 – 2d 4.) Answer: y 3.)

19. SWBAT… simplify algebraic expressions Agenda 1. WU (10 min) 2. Review problems from yesterday – feedback (5 min) 3. Review HW (10 min) 4. Quiz – 10 problems, 5 evaluating & 5 simplifying (20 min) Warm-Up: If simplified, write “simplified” 1) 5a 2 + 7a 2) -4x 2 y + x 2 y – x 2 y + x 2 3) a + 3a – 4(9 – a) 4) If a triangle has sides 3x – 2, 5 – x and 2x – 5, what is the perimeter of the triangle? Wed, 9/7

20. 1) 5a 2 + 7a Simplified 2) -4x 2 y + x 2 y – x 2 y + x 2 -4x 2 y + x 2 3) a + 3a – 4(9 – a) 8a – 36 4) If a triangle has sides 3x – 2, 5 – x and 2x – 5, what is the perimeter of the triangle? 4x – 2 Warm-Up: Simplify each expression

21. OYO (On Your Own) Problems 1. 5(z – 3) + 4z 2. 4(y 2 + 8y – 2) – y 2 + y 3. 5(3x – 7) – 6x 4. 7(4x 2 + 3x) + 2(5x 2 + x) 5. 8x + 2[5 – (x – 3)] Hint: the [ is like a (