Polynomial & Rational Functions
2.1 Linear and Quadratic Functions and Modeling
(1) Watch video and take notes on Polynomials - Linear Quadratic
(2) Watch video and take notes on Completing the Square
(3) Watch video and take notes on Quadratics and Linear Examples
(4) Math XL 2.1
2.2 power functions with modeling
(1) Complete the Introduction to Power Functions on Desmos.
(3) Create a poster explaining the difference between Direct Variation and Inverse Proportions
(4) Khan Academy: Recognize direct and inverse variation
(5) Notes on Monomial Functions and their graphs, Notes on Graphs of Power Functions
Optional: Watch Video Part 1. Watch Video Part 2.
(6) Math XL 2.2
2.3 Polynomial functions of higher degree with modeling
(2) Complete Joke #37 (Find all of the roots - including complex roots)
(3) Math XL 2.3
2.4 Real Zeros of Polynomial Functions
Day 1:
(1) Notes on Long Division
(2) Complete worksheet and homework
(3) Join Knowre Class Code EN9ZXT7
(4) Complete Knowre 9-1 Dividing Polynomials Long Division
Day 2
(1) Notes on synthetic division
(2) Complete Knowre 9-2 Dividing Polynomials synthetic division
(3) Watch Polynomial Remainder Theorem Notes on Khan Academy
(4) Complete Divide polynomials with remainders on Khan Academy
(5) Notes on Remainder Theorem and Factor Theorem
(6) Notes on Rational Zeros and Upper and Lower Bounds - Watch this video on Descartes Rule of Signs
(7) Math XL 2.4
2.5 Complex Zeros and Fundamental Theorem of Algebra
(1) Review Complex numbers on Khan Academy (counts towards PreCalculus mission)
Powers of the imaginary unit
Simplify roots of negative numbers
Parts of complex numbers
Classify complex numbers
Add and Subtract complex numbers
(2) Notes with Mrs. Gagnon on Complex zeros
(3) Joke #46
(4) Math XL 2.5 (1-7 For Day 1, 8-13 for Day 2)
2.6 Graphs of Rational Functions
(1) Notes on Rational Functions
(2) Click here for the Flow Chart for Graphing Rational Functions
(3) Click here to print a practice worksheet.
Click here for the answer key. (Check on Mrs. G's computer.)
(4) Practice graphs of rational functions on Khan Academy.
(5) Complete Math XL Homework (called Rational Function Homework). Please do not do Math XL 2.6 (It has too many questions on limits. We will save our limits work for next year in Calculus.)
2.7 Solving equations in one variable
(1) Notes with Mrs. G on solving equations in one variable
(2) Page 18.5 (Riddle worksheet) .
(3) Complete 3 exercise on Khan Academy:
- Equations with one rational expression
- Equations with one rational expression (advanced)
- Equations with two rational expressions
(4) Math XL 2.7