PreCalculus
Chapter 12 The Second Derivative
Unit 12-1
- Standard 1a: Factor polynomials in order to find zeros
- Standard 1b: Factor polynomials in order to simplify rational expressions
Agenda
- Screencast Review: Rules to Remember
- Factoring by Guess & Check
- Factoring by Grouping
- Factoring to Simplify Rational Expressions
- Factoring Practice (pdf plus ones from keynote)
- Desmos Activity
- Assignment 1-1: Pg 9 #1-10, 12, 13, 14
Unit 1-2 Review of Linear Equations
- Standard 1c: 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: Pg 15-16 All Free Response Problems
Unit 1-3: Review of Quadratic Functions
- Standard 1d: Find equations, zeros, vertex, and range of a parabola.
- Standard 1e: 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 1-3 A:Pg 24-25 #1-4, 9-13
- Assignment 1-3 B: Pg 24-25 #5-8, 14-19
Unit 1-4: Finding Complete Graphs of Polynomials
- Standard 1f:
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 1-4: Pg 35 #1-13
Unit 1-5: Optimization by Calculator
- Standard 1g: 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 1-5: Pg 41 #1-7
Unit 1-6: Zeros of Higher Order Polynomials by Synthetic Substitution
- Standard 1h: Factor polynomials to find zeros algebraically using synthetic substitution.
- Standard 1i: 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 1-6: Pg 49 #2-12, 15
Unit 1-7: Sign Patterns of Polynomial Functions
- Standard 1j: 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 1-7: Pg 59 #2-11, 18 & 19 (calculator needed for the last two problems)
- Screencast
- Powerpoint
- PDF Slides
- Desmos Activity