1. Warm-Up The graph represents the situation where a child throws a ball in the air 1) Decide on reasonable units for the x and y axes 2) What are the zeros? What do the zeros represent in this problem? 3) What is the maximum height of the ball? What is the name of this “special feature” on the graph?

2. Unit 3 Quadratics Skills Review LG: I can identify a polynomial expression and use the terminology related to polynomials LG: I can simplify and evaluate expressions involving exponents and the distributive property

3. Terms to Know… Expression – one or more terms separated by + or – sign. ie. 2x 2 + x – 10 (no “=” sign) Equation – two expressions set equal to one another. ie. 5x 3 + 3 = 7x Term – Part of an expression or equation. ie. 5x 3, 3, 7x Factor – to write a number or expression as the product of 2 or more numbers or expressions. ie. 24 = 6 x 4 or 3z 2 = 3 x z 2

4. More Terms to Know… Coefficient – the multiplier of a variable. ie. 3x 2 Degree/ Order – the highest exponent that appears in any term. ie. 4x 2 + 3y 7 - 2z Monomial – an algebraic expression with one term. ie. 6x 2 Binomial – ….two terms. ie. 6x 2 + 3 Trinomial - …three terms

5. Exponent Laws RuleDescriptionExample MultiplicationKeep the base the same and add exponents 3 5 X 3 6 = 3 11 DivisionKeep the base the same and subtract the exponents 4 5 ÷ 4 3 = 4 2 Power of a powerKeep the base the same and multiply the exponents (2 5 ) 3 = 2 15 Zero as an exponentWhen an exponent is zero, it gives a value of 1 7 0 = 1 Negative exponentsPower becomes a fraction: 1 divided by base with positive exponent 5 -2 = 1/5 2 = 1/25 Fractions with exponents Apply power to numerator and denominator (2/3) 3 = 8/27 *Exponent laws for multiplication and division only apply when the base is the same Reference – pg. 227 in text

6. Practice

7. Expanding and Distributive Property Term outside of brackets is multiplied by all terms inside brackets (*Don’t forget exponent laws!) Example 1: 4x(-2 + 5x) = -8x + 20x 2 Example 2: 6x(3x – 4xy) = 18x 2 – 24x 2 y Example 3: (5x)(6x 2 y)(3yz) = 90x 3 y 2 z

8. Practice a)5(x + 7)b) 3x(2x + 1) c) -4x(3xy – 2) d)6y(4x + 2y) + (3x)(2y)(4) Find the missing term: e) 6 + 9x = (___)(2 + 3x)f) 8x 2 – 2xy = 4x(____)

9. Application of Exponent Laws and Distributive Property

10. Homework Pg. 228 #1-6 odd (#7-9 as challenge) Pg. 230 # 1 odd, 2ace, 3ace, 4, 5 See Pg. 227 for exponent laws if needed See pg. 229 for more distributive property examples