Advanced Algebra (2006-2007)

Chapters 5 Assignment List

Mrs. Dohm

 

Enduring Understanding: Quadratic functions can be used to model the path of a falling object.

 

Essential Questions:

§         What is the connection between roots of a quadratic equation, the zeros of a quadratic function and the x-intercepts of the graph of a parabola?

§         Without solving a quadratic equation, how can we determine the number of solutions and whether they are real or complex solutions?

§         What are the different methods used to solve quadratic functions?

 

Factoring (day 1)               Factoring Worksheet

§         When factoring a trinomial, why should you factor out common factors first?

 

Factoring (day 2)                    Factoring Worksheet

§         What is a perfect square trinomial?  How can recognizing a perfect square trinomial help you factor it?

 

Section 5 – 1A                  Page 312   #1 – 23, 25

§         How does domain and range of a function change if the equation is derived from a word problem?

 

Section 5 – 1B & C             Page 319   #2, 4, 9 – 13, 15

                                  Page 326   #1, 2, 5, 7 – 15, 17, 20, 22

§         A linear function can be described by its slope.  Can a quadratic function be described by its slope?  Explain why or why not.

 

Section 5 – 1D                  Worksheet

§         How can you tell if a parabola has a maximum value or a minimum value without graphing it?

 

Section 5 – 1E                  Worksheet

§         Describe the roles of a, h and k in

f(x) = a(x-h)2 + k in transforming the graph of f(x) = x2.

 

QUIZ 5 – 1A – E               No Homework

 

Section 5 – 2A                  Page 344   #1 – 6, 8 – 16, 18 – 25

§         Compare the number of possible real solutions for a linear equation and a quadratic equation.

 

Section 5 – 2B                  Worksheet

§         Discuss some of the advantages and disadvantages of solving a quadratic equation by factoring instead of graphing.

 

Section 5 – 2C                  Page 357   #2 – 10, 20 – 23, 36 - 41

·        Do all quadratic equations have 2 real roots?  Explain your reasoning.

 

Section 5 – 2D                  Page 364   #1 – 9, 14 - 23

·        Explain why there is one real root to a quadratic equation whose discriminant is 0.

 

Section 5 – 2E                  Partner Worksheet in class

·        Answer the unit essential questions.

 

CHAPTERS 5 TEST                  Essential questions due