Algebra II

From Teach And Discover Wiki

Welcome to the Algebra II course page. Below you will find the course outline and the section texts that will be used throughout the course. Algebra II is designed as a one-semester rigorous course in Intermediate to Advanced Algebra, and will prepare you for your subsequent Trigonometry and Pre-Calculus courses.

This book will explore more advanced topics than those covered in Algebra I. It is recommended that one complete the Geometry course before taking the Algebra II course so that basic algebra concepts may be understood concretely.

Contents 1 Course Outline 1.1 Review of previous concepts 1.2 First Degree Equations and Inequalities 1.3 Linear Functions 1.4 Systems of Equations 1.5 More Algebra 1.6 Projects

Course Outline

Review of previous concepts

• Arithmetic
• Variables
• Real Numbers
• Exponents

First Degree Equations and Inequalities

• Expressions and Formulas
• Solving Equations
• Solving Word Problems
• Absolute Value Equations
• Solving Inequalities
• Compound & Absolute Value Inequalities
• Chapter Review

Linear Functions

• Functions
• Linear Equations
• The Coordinate (Cartesian) Plane
• Slope
• Writing Linear Equations
• Slope Intercept Form y = mx + b
• Standard Form Ax + By = C
• Graphing Inequalities

Systems of Equations

• Solving Systems of Equations By Graphing
• Solving Systems of Equations By Substitution
• Solving Systems of Equations By Elimination
• Systems of Inequalities
• Solving Systems of Equations In Three Variables

More Algebra

• Matrices
• Square Roots
• Quadratic Functions
• Polynomial Functions
• Cubic Functions
• Ellipses
• Circles
• Hyperbolas
• Logarithms
• Radical Expressions
• Square and Cube Root Functions
• Exponential Growth and Decay Functions

Projects

1. Baloons & Linear Regression - Inflating baloons and fitting a linear, quadratic, or exponential line to the data.
2. Polling Peers - Using SurveyMonkey to develop a survey to give to student peers and evaluate the data.
3. Finding Π with Pizza - Students will measure actual circumference and diameter of pizzas and determine best buys.
4. Stock Market Mark-It - Students will select a company they have an interest in and evaluate it over time.
5. M&M's and Probability - Students will evaluate a pack of M&M's for colors content, and determine probabilities based on their data.
6. Candy Box - Students will receive a box of candy and use it to find surface area and volume.
7. Bottle Rocketry - Students will construct a bottle rocket out of common household items and a soda pop bottle and evaluate it's flight.