PreCalculus
Chapter 4 PreCalculus Basics
Unit 4-1 Review of Linear Equations
- Standard 4a: Find equations and intercepts of lines from points, slopes, and parallel or perpendicular lines.
Agenda
- Screencast Review: Linear Equation Forms
- Slope Intercept
- Point Slope
- Standard
- Intercept
- Parallel & Perpendicular Slopes
- Assignment 4-1: Pg 213 All Free Response Problems
Unit 4-2: Review of Quadratic Functions
- Standard 4b: Find equations, zeros, vertex, and range of a parabola.
- Standard 4c: Apply quadratic functions to projectile motion problems
Agenda
- Quadratic Equation Expressions
- Standard a, b, c form
- Vertex
- Completing the Square to find the Vertex
- Finding a Quadratic from given points.
- Applying Quadratic Equations to Projectile Motion
- Assignment 4-2 A:Pg 222 #1-4, 9-13
- Assignment 4-2 B: Pg 222 #5-8, 14-19
Unit 4-3: Finding Complete Graphs of Polynomials
- Standard 4d:
Find complete graphs, zeros, and extreme points on the calculator
Agenda
- Using the Graphing Calculator to Graph and Find Traits of Functions
- Adjusting the Window
- Finding zeros
- Finding Extreme Values
- Assignment 4-3: Pg 234 #4-13
Unit 4-4: Optimization by Calculator
- Standard 4e: Apply polynomial functions to solve real-world application problems involving optimization
Agenda
- Areas, Volumes, and Surface Area Formulas
- Representing these formulas as functions
- Graphing Optimization Functions on the Graphing Calculator
- Finding Minimum/Maximum Values with the Calculator
- Assignment 4-4: Pg 245 #1-7
Unit 4-5: Zeros of Higher Order Polynomials by Synthetic
Substitution
- Standard 4f: Factor polynomials to find zeros algebraically using synthetic substitution.
- Standard 4g: Find the equation of a polynomial from its zeros.
Agenda
- Synthetic Substitution
- Finding zeros of a polynomial
- Dividing and Factoring Polynomials with Remainders
- Using Synthetic Substitution to
- Factor Polynomials
- Find Function Values
- Finding a polynomial from its zeros
- Assignment 4-5: Pg 258 #2-12, 15
Unit 4-6: Sign Patterns of Polynomial Functions
- Standard 4h: Use factoring to determine the sign patterns of a polynomial
Agenda
- Using the zeros of a polynomial to set up a sign pattern
- Testing Intervals to determine a sign pattern
- Interpreting Functions and Graphs from a given sign pattern
- Assignment 4-6: Pg 268 #2-11, 18 & 19 (calculator needed for the last two problems)