December+Algebra+I+Honors+07-08

December 3, 2007 December 4, 2007 December 5, 2007 December 6, 2007 December 7, 2007 December 10, 2007 December 11, 2007 December 12, 2007 December 13, 2007 December 14, 2007 December 17, 2007 December 18, 2007 December 19, 2007 December 20, 2007 December 21, 2007

December 3, 2007

Objective: YWBAT divide polynomial equations using long division and synthetic division

Agenda: 1. How does factoring and division relate? 2. How can I use division to verify whether something is a factor? 3. What does a remainder mean and how do we traditionally write a remainder? 4. Under what conditions can we use long division? synthetic division?

HW: Division Handout

December 4, 2007

Objective: YWBAT solve higher degree polynomial equations using skils developed with quadratics

Agenda: 1. How many solutions are there possible for a given polynomial? 2. Using graphs, tables, and algebra, determine the nature of the solutions to the polynomial. 3. How can knowledge of one root translate into knowledge of additional roots?

HW: p.363 #11-29

December 5, 2007

Objective: YWBAT apply the rational root theorem to deepen your ability to identify roots of polynomials

Agenda: 1. What type of solutions make factoring nth degree polynomials difficult? 2. What does the rational root theorem accomplish? Does it make sense? 3. List the weapons in your solving arsenal (as it applies to polynomials).

HW: p. 381 #12-28

December 6, 2007

Objective: YWBAT solve a variety of polynomial functions using factoring, graphing, synthetic division, and the rational root theorem

Agenda: Work in duos to solve problems

HW: p. 375 #19-33

December 7, 2007

Objective: YWBAT solve a variety of polynomial functions using factoring, graphing, synthetic division, and the rational root theorem

Agenda: Work in duos to solve problems

December 10, 2007

Objective: YWBAT create regression equations using your graphing calculator and select the most appropriate polynomial curve for a given set of data

Agenda: 1. How does the real world differ from the math world? How do they relate? 2. Why are learning about regression curves? 3. What does interpolation and extrapolation mean? How are they useful?

HW: Data Set

December 11, 2007

Objective: YWBAT construct and interpret a regression curve for a given set of data and make predictions based on your curve

Agenda: Work in duos to create, write, and analyze a set of data from the business context

December 12, 2007

Objective: YWBAT construct and interpret a regression curve for a given set of data and make predictions based on your curve

Agenda: Work in duos to create, write, and analyze a set of data from the business context

December 13, 2007

Objective: YWBAT prepare a regression analaysis of a set of data using excel and powerpoint and submit it electronically

Agenda: Computer Lab

December 14, 2007

Objective: YWBAT prepare a regression analaysis of a set of data using excel and powerpoint and submit it electronically

Agenda: Computer Lab

December 17, 2007

Objective: YWBAT graph any polynomial and identify all of the key points in its life using algebraic and graphical methods

Agenda: 1. What are the key points in the life of a polynomial? 2. How do we use algebra to identify these key points? 3. How do we use graphs to identify these key points?

HW: Graphing worksheet

December 18, 2007

Objective: YWBAT write an equation for a given polynomial given a graphical representation or tabular representation of the function

Agenda: 1. What aspects of the graph are revealing about the nature of a peculiar polynomial one could be looking at at any given time? 2. How does the window of a graph effect one's ability to understand the identity of the polynomial in question?

HW: Extraction and Translation worksheet

December 19, 2007

Objective: YWBAT solve any polynomial equation using a combination of graphical, numeric, and algebraic methods

Agenda: 1. What does solving mean? 2. What sort of checks can be done to make sure the correction solution was indeed found? 3. What type of contexts are easy to solve? What type are difficult?

HW: Polynomial Solving Worksheet

December 20, 2007

Objective: YWBAT interpret real-world situations with the help of polynomial models

Agenda: 1. What do we mean by "real-world"? 2. Why do we use equations in the real world? 3. What are the points of interest in the real world likely to be?

HW: Polynomials and the real world problem set

December 21, 2007

Objective: EXAM