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ALGEBRA II CHAPTER FOUR NOTES AND HOMEWORK
4.1
GRAPH QUADRATIC FUNCTIONS IN STANDARD FORM
1.) Quadratic function
2.) Parent function (key concept box) (n/c)
3.) Properties of the graph (n/c)
4.) Minimum and maximum values
HOMEWORK: pg. 240-243
REG. ALG.II: #3,4,8,11,15,17,18,21,23,27,30,33,36,39,40,53,55,57,58,62,63
PAPA: #3,6,7,10,13,16,21,28,31,39,40,42,50,53,55,56,59,60,62,63
4.2
GRAPH QUADRATIC FUNCTIONS IN VERTEX OR INTERCEPT FORM
1.) Vertex form
2.) Graph of vertex form box (n/c)
3.) Intercept form
4.) Graph of intercept form box (n/c)
5.) FOIL method
HOMEWORK: pg. 249-251
REG. ALG.II : # 3,6,9,12,13,16,19,22,24,27,30,33,36,39,49,51,53,54,57,58
PAPA II: #5,8,11,12,18,21,22,23,35,37,40,41,49,51,52,53,54,55,57,58
4.3
SOLVE BY FACTORING
1.) Monomial, Binomial, Trinomial
2.) Special Factoring patterns (n/c)
3.) Quadratic equation
4.) Roots
5.) Zero Product Property box (n/c)
6.) Zeros of a function
HOMEWORK: pg. 255-258
REG. ALG.II: #3-13 all, 15-23 odd, 24,27,30,33,36,41,43,44,47,53,56,59,61,65,67,73,74
PAPA II: #3-55 eoo, 56,57,58,60,61,62,66,67,68,70,71,73,74
4.4
SOLVE BY FACTORING WITH COEFFICIENTS OUT FRONT
1.) Paragraph above example 1
2.) Factoring out monomials paragraph above ex.4
3.) Solving quadratic equations paragraph above ex.5
4.) Factoring and zeros paragraph above ex.7
HOMEWORK: pg. 263-265
REG. ALG.II: # 3,6,9,12,13,16,22,23,25,32,35,38,41,44,49,50,51,63,64,65,67,69,70
PAPA II: #3-61 eoo, 62,64,65,67,68,69,79
~!@#$%^&*(REVIEW FOR TEST!!!)*&^%$#@!~
4.5
1.)
2.)
3.)
4.)
5.)
6.)
7.)
SOLVE QUADRATIC EQUATIONS BY FINDING SQUARE ROOTS
Square root
Radical and radicand
Properties of square roots box (n/c)
Rationalizing the denominator
Conjugates
Chart for rationalizing
Free falling objects position equation (n/c)
HOMEWORK: pg. 269-271
REG. ALG.II: # 3-17 odd, 19,21,22,25,28,31,34,35,38,41,44,45
PAPA II: #3-37 odd, 38,39,40,42,44,45
4.6
PERFORM OPERATIONS WITH COMPLEX NUMBERS
1.) Imaginary unit i
2.) Square root of a negative number
3.) Complex number
4.) Imaginary number
5.) Pure imaginary number
6.) Sum and difference of complex numbers
7.) Multiplying complex numbers
8.) Complex conjugates
9.) Complex plane
10.) Absolute value of a complex number
HOMEWORK: pg. 279-282
REG. ALG. II: #3-55 eoo, 57, 60,65,67,69,74,77,78
PAPA II: 3-55 eoo, 60,61,65,66,68,69, 75,77,78
4.7
COMPLETE THE SQUARE
1.) Key concept box for completing the square
2.) Solving equations paragraph above ex. 3
3.) Vertex form
HOMEWORK: pg. 288-291
REG. ALG.II: #3,6,9,12,13,15,16,19,23,25,28,31,34,35,39,41,45,47,55,58,59, 63,67,69,70
PAPA II: #3-57 eoo, 58,59,61,62,63,65,66,68,69,70
4.8
USE THE QUADRATIC FORMULA AND THE DISCRIMINANT
1.) Key concept box of the quadratic formula (n/c)
2.) Discriminant
3.) Using the discriminant box (n/c)
4.) Formula for when an object is dropped or thrown (n/c)
HOMEWORK: pg. 296-299
REG. ALG.II: #3,6,9,12,13,16,19,22,25,31,34,37,43,52,53,55,57,59,68,6975,76
PAPA II: #3-61 eoo,63,66,68,69,70,72,73,75,76
4.9
GRAPH AND SOLVE QUADRATIC INEQUALITIES
1.)
Key concept box pg 300
2.)
Systems of quadratic inequalities
3.)
One variable inequalities
HOMEWORK: pg. 304-307
REG. ALG. II: #3,8,11,14,17,21,25,27,31,33,35,39,44,47,71,73,78,79
PAPA II: #3,8,13,18,…,68, 69,70,72,73,74,76,78,79
4.10
WRITE QUADRATIC FUNCTIONS AND MODELS
1.) Quadratic regression
HOMEWORK: pg. 312-315
REG. ALG.II: #3,5,7,12,15,16,17,19,23,43,46,47,49,53,54
PAPA II: #4,5,6,12,15,16,18,21,23,29,35,47,48,49,50,53,54
~!@#$%^&*(REVIEW FOR TEST!!!)*&^%$#@!~
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