Algebra 2 Unit 10 Tentative Syllabus Cubics & Factoring

Transcription

1 Name Algebra Unit 10 Tentative Sllabus Cubics & Factoring DATE CLASS ASSIGNMENT Tuesda Da 1: S.1 Eponent s P: -1, -7 Jan Wednesda Da : S.1 More Eponent s P: 9- Jan Thursda Da : Graphing the cubic parent function WS Cubic Function (p. 8 in packet) Jan Frida Jan More Graphing Cubic Functions & Review WS More Cubics & Review (p. 9 in packet) QUIZ S.1 &Graphing Cubic Function Monda Jan 8 Tuesda Jan 9 Wednesda Jan 0 Thursda Jan 1 Da : Section. factoring and solving polnomial equations introduce sum and difference of cubes formulas Da : More section. factoring and solving polnomial equations introduce factoring b grouping and higher order factoring Review 10 due when ou walk into class. Test 10 Tet Pg. 6 # 7, 10 16, 0, 66, 67 Start Review 10 (p. 7 in packet) Tet Pg. 7 #18 1, 7,,, 0,, 8, 1 Stud for test! Da 1& S.1: Properties of Eponents Notes Eponents Eamples (-) - I. Product of Powers For an number a, and all integers m and n a m a n = Eamples a a 6 a ( a )( a - ) ( )( ) Find the area: II. Power of Powers For an number a, and all integers m and n ( a m ) n = Eamples (a ) ( ) ( a b) (-a bc ) III. Power of Product For all numbers a & b, and an integer m (ab) m = Eamples ( ) ( ) ( ) 1

2 IV. Negative Eponents For an nonzero number a and an integer n, a -m = Eamples 7 - ab a b 7 V. Zero Eponent For an nonzero number a, a 0 = Eamples () 0 (a b c ) 0 ( 0 a b)(a b 0 ) VI. Quotient of Powers For all integers m & n, and an nonzero number a a m a n = Eamples - z a b c 0 b c 8 a b c 8-6 z -11 a b c 6 b c - a b c 9 VII. Know our powers powers of powers of powers of powers of other powers Da Eponent Practice I. Simplif II. Review Practice d d d 1d d 1.

3 Da Cubic Parent Function Notes Parent equation: General equation: a b h k Parent points: Reflection of the graph over the -ais (Flip over the horizon) Verte (h, k) The starting point Reflection for the pattern. of the graph over the -ais (Flip verticall) E 1 f( ) 1 E f E f 1 Trans: Trans: Trans: D: R: D: R: D: R: -int: -int: -int: E f E f E 6 f Trans: Trans: Trans: D: R: D: R: D: R: -int: -int: -int:

4 Write an equation for each graph below. 7) 8) 9) 10) 11) 1) 1) 1) 1) Write an equation for given the following information. 16) Cubic: Right, Up, Reflect over -ais 17) Cubic: Stretch b, Down, Left 1 18) Quadratic: -intercepts (, 0) & (, 0) Shrink b ½ 19) Quadratic: Reflect over -ais, up, right 1 0) Absolute Value: Up 6, Left, stretch b

5 Da S. Factor and Solve Polnomial Equations Notes HW p6: -7, , 66, 67 Chapter Review Tpe Eample Factored Form Common Monomial Factor ( + ) General Trinomial 0 ( + )( ) Perfect Square Trinomial ( + )( + ) Difference of Two Squares ( 10)( + 10) A factored polnomial is completel factored if it is written as a product of un-factorable polnomials with integer coefficients. ( + 1)( ) and ( - ) are factored completel. ( ) is not ( )( + ) is! Factor completel. Find a common monomial factor, if possible. E E 18 E z 16z + 16z Multipl. Distribute and combine like terms. E E Special Factoring Patterns List of Perfect Cubes: Sum of Two Cubes Difference of Two Cubes a + b = (a + b)(a ab + b ) a b = (a b)(a + ab + b ) E E On our own: factor completel w E 8 Solve for all the Real-number solutions

6 Da S. Factoring & Solving Polnomials HW-p7: 18-1, 7, -, 0,, 8, 1 & IV Below I. Factor b grouping II. Factor b grouping and solve III. Two Step Factoring Difference of Squares Solve: 6 0 IV. Homework: Do the bookwork assigned for toda & the problems below. Factor and solve for Challenge: Solve

7 Review 10 Cubic Functions, Polnomials, & Factoring/Solving IA. Pg. : QUIZ #1-8, 1-1 IB. Workbook Section -1: #1-8, Username: austinhs Password: bulldogs II. Graph each function. State the domain, range, transformations, and intercept(s). 1) 1 ) 1 1 ) 1 ) 1 1 ) Trans: Trans: Trans: Trans: Trans D: R: D: R: D: R: D: R: D: R: -int: -int: -int: -int: -int: -int -int -int -int -int III. Factor each completel. 6) 7 7) 6 1 8) 6 8 9) ) 81 IV. Solve each b factoring. Find the eact value of all real roots. 11) 0 1) ) ) 0 0 1) ) 0 7

8 Name Period Date Cubic Graphs WS 1 Cubic Parent Graphs: State the transformations, domain, range, and -intercept. 1) 1 f( ) 1 ) f( ) ) f( ) ) f( ) 1 Trans: Trans: Trans: Trans: D: R: D: R: D: R: D: R: -int: -int: -int: -int: ) f( ) 1 6) f( ) ) f( ) 8) f( ) 1 Trans: Trans: Trans: Trans: D: R: D: R: D: R: D: R: -int: -int: -int: -int: Write the equation of the cubic function. 9) Cubic: Right, Up, Reflect over -ais 10) Review 1) 7 1) 11) mp 1) 9 1)

9 More Graphing Cubic Functions & Review Worksheet Graph each function. State the transformations and the -intercepts 1) 1 ) 1 ) 1 ) Trans Trans Trans Trans -Int -Int -Int -Int ) 6) 1 7) 8) Trans Trans Trans Trans -Int -Int -Int -Int Write an equation for each given situation. 9) 10) 11) Cubic: Left, Down, Reflect over -ais 1) Cubic: Right, Up 1, Reflect over -ais 1) Cubic: Stretch b, up, Left 6 1) Quadratic: -intercepts (-, 0) & (, 0), Shrink b ½ Simplif 1) 6 16) 7 17) z 18) z 19) 0) ( ) 1) ) 6 ) ) 9