October+Algebra+I+Honors+07-08

October 1, 2007 October 2, 2007 October 3, 2007 October 4, 2007 October 5, 2007 October 9, 2007 October 10, 2007 October 11, 2007 October 15, 2007 October 16, 2007 October 17, 2007 October 18, 2007 October 19, 2007 October 22, 2007 October 23, 2007 October 24, 2007 October 25, 2007 October 26, 2007 October 29, 2007 October 30, 2007 October 31, 2007

October 1, 2007

Objective: YWBAT apply and solve systems of equations involving "dert" equations

Agenda: 1. In what other contexts can we apply an equation like "dert"? 2. Classic problems--train, planes, and automobiles 3. What are some key strategies that you have discovered that work when solving equations that require "dert"? 4. How does solving a problem in a real-world context differ from solving a problem in a mathematical context?

HW: Systems Handout

October 2, 2007

Objective: YWBAT apply and solve systems involving investments and profit-cost-revenue

Agenda: 1. How do banks make money? 2. How do inviduals make money using banks? 3. How do businesses make money? How do businesses lose money? 4. What is a break-even point and what information does it provide you about a business? 5. Make personal and business decisions from a variety of different contexts using evidence gained from systems of equations

HW: Systems Handout

October 3, 2007

Objective: YWBAT solve systems of inequalities by graphing and interpet the solution space

Agenda: 1. How do systems of inequalities differ from systems of linear equations? 2. What can a systems of inequalities capture ore present that a system of inequalities cannot? 3. In what type of contexts may a system of inequalities be more useful than a systems of equations?

HW: p. 126, #12-28 even

October 4, 2007

Objectives: YWBAT find the maximum and minimum values of a function using linear programming YWBAT solve real world problems using linear programming

Agenda: 1. Provide an explanation for the special vocabulary associated with linear programming. 2. What are constraints and can you imagine some constraints that occur in the real world? 3. Think through the following general scenarios and determine some possible constraints: sales, marketing, production, farming, power, and schedules. 4. Why are maximum and minimum values seem to be given the greatest pragmatic value?

HW: p. 133, #31-32

October 5, 2007

Objective: YWBAT apply linear programming problem to contexts involving production

Agenda: Students work in duos to solve linear programming problems centered on production

HW: Programming Handout

October 9, 2007

Objective: YWBAT differentiate between linear programming problems and systems of equations problems YWBAT translate and solve problems involving no systems and systems of equations from a variety of contexts

Agenda: Studnets work in duos to solve a vareity of applied problems

HW: Create a word problem involving systems

October 10, 2007

Objective: YWBAT differentiate between linear programming problems and systems of equations problems YWBAT translate and solve problems involving no systems and systems of equations from a variety of contexts

Agenda: Studnets work in duos to solve a vareity of applied problems

HW: Create a word problem involving systems

October 11, 2007

Objective: YWBAT demonstrate to yourself, your peer, your teacher, and your parents that you can effectively solve systems of equations and inequalities in pure and applied contexts

Agenda: EXAM

October 15, 2007

Objective: YWBAT identify personal areas of strength and weakness YWBAT solidify your knowledge of systems by reflecting on your abilities as demonstrated on the assessment

Agenda; 1. What are your strengths and weaknesses as expressed in this assessment? 2. Reteach classwide areas of weakness 3. End of period reassessment of some basic concepts

October 16, 2007

Objective: YWBAT graph quadratic functions with and without the help of technology YWBAT find and interept the maximum and minimum values of a quadratic function

Agenda: 1. How does a quadratic function differ from linear functions? 2. Determine, as many ways as possible, how to find the vertex of the parabola both graphically and algebraically. 3. What are some strategies for graphing quadratic functions without technology? 4. In what contexts can you imagine a function with this behavior be used?

HW: p. 291, #12-63 multiples of 3

October 17, 2007

Objective: YWBAT solve quadratic equations by graphing using estimation as well as technology

Agenda: 1. How are the graphical solutions to linear and quadratic equations similar? different? 2. Why are solutions of quadratic equations usually equated with the zeros of the equation? 3. List the three possible graphical solution outcomes when solving a quadratic equation. How does this differ from a linear equation? 4. What is the relatinoships between the zeros of an equation and the functions vertex?

HW: p. 298 #20-46 even

October 18, 2007

Objectives: YWBAT solve quadratic equations by factoring YWBAT write an equation for a parabola given its roots

Agenda: 1. What is the Fundamental Theorem of Arithmetic and how does it related to factoring? 2. How does the Fundamental Theorem of Algebra build on the Fundamental Theorem of Arithmetic? 3. Why does factoring provide a way of solving quadratics? what contexts allows factoring to be a method for solving quadratic equations? 4. What is the relatinship between facotrs and roots? Why do they call the x-intercepts the roots?

HW; p. 303, #1-56

October 19, 2007

Objectives: YWBAT solve quadratic equations by factoring YWBAT write an equation for a parabola given its roots

Agenda: 1. What is the Fundamental Theorem of Arithmetic and how does it related to factoring? 2. How does the Fundamental Theorem of Algebra build on the Fundamental Theorem of Arithmetic? 3. Why does factoring provide a way of solving quadratics? what contexts allows factoring to be a method for solving quadratic equations? 4. What is the relatinship between factors and roots? Why do they call the x-intercepts the roots?

HW: Factoring Handout

October 22, 2007

Objectives: YWBAT solve equations using completing the square YWBAT write quadratic functions in vertex form using completing the square

Agenda: 1. What are the differences, if any, between an equation and a function? 2. In what ways can we "legally" alter an equation and not change the statement of equality? 3. What advantages and disadvantages does completing the square have over factoring? 4. Why does the process of completing the square aid lead to a vertex form of the function?

HW: p. 310 #14-44 odds

October 23, 2007

Objectives: YWBAT solve quadratic equations by employing the quadratic formula YWBAT use the discriminant to deterimne the number and type of roots of a quadratic equation

Agenda: 1. What have been the conditions under which we have attempted to solve a quadratic condition? 2. How could we come up with a formula for solving an equation in standard form for x? 3. Determine what information can be found from the portion of the quadratic formula called the discriminant.

HW: p. 318 #14-27

October 24, 2007

Objective: YWBAT identify quadratic functions and assess which solving approach would like be "easiest" or most able to retrieve solutions with the least possible error rate

Agenda: 1. Design a decision tree to illustrate the solving reasoning you go thorough when you approach a quadratic equation 2. How do algebraic methods relate to graphical methods? What approach or combination of approaches is most likely to render you successful?

HW: p. 318, #28-52

October 25, 2007

Objectives: YWBAT analyze and describe the behavior of quadratic functions written in vertex form and standard form

Agenda: 1. What story does the equation of a line tell about a particular line? 2. What story can be learned from a quadratic equation and how is that related to the concept of a parent function? 3. Explain how order of operations and the specific operations themself influence the graph of a function.

HW: p. 424, #16-34 even

October 26, 2007

Objective: YWBAT navigate various directions and uses of vocabulary to solve quadratics, graph quadratics, find maximum/minimum values, intercepts, zeros, etc.

Agenda: 1. What is this question asking? 2. What tool or tools do I have at my disposal to answer the question? 3. Did I actually answer the question being asked and is my answer reasonable?

HW: Quadratic Skills Review

October 29, 2007

Objective: YWBAT interpret and solve quadratic functions involving projectile motion

Agenda: 1. How does the path of a projectile relate to a position vs. time graph? How is it different? 2. What are initial conditions and how do they relate to mathematical descriptions of a parabolic curve? 3. How do x-intercepts and vertices translate in to the context of the problem?

HW: Projectile Handout

October 30, 2007

Objective: YWBAT apply quadratic equations to contexts involving area including maximization and minimization

Agenda: 1. Argue that area is a function of its dimensions. 2. How does the function for a given area relate to a given point on the function? 3. What is the difference between solving a quadratic and finding a max or min value?

HW: Area Handout

October 31, 2007

Objective: YWBAT apply quadratic equations to business contexts, specifically cost, revenue, demand, and profit

Agenda: 1. Make a list of all the costs associated with running a corner store. 2. What are sources of revenue for a corner store. 3. Describe whya quadratic equation might be a better model for cost than a linear equation. 4. How are profits and demand related?

HW: Business Handout