Pre-AP Algebra II Overview (Units & Topics)
Semester 1 (Fall 2013)
Unit 1: Functions, Equations, and Inequalities (Aug. 27 – Sept. 12)
Textbook: Chapter 1
Unit Question: How do we describe relationships?
Functions vs. Relations
Domain and Range
Interval Notation
Rewriting Functions and Equations
Operations on Functions
Finding Inverses of Functions
Absolute Value Functions and Inequalities
Linear Functions and Inequalities
Unit 2: Linear Systems of Equations and Matrices (Sept. 16 – Oct. 12)
Textbook: Chapter 3
Unit Question: How do we solve more than one problem at a time?
Graphing Linear Functions
Linear Regression and the Line of Best Fit
Direct Variation
Systems of Two Equations
Systems of Inequalities
Linear Programming
Systems of Three or More Equations
Matrices
Matrix Operations
Determinant of a Matrix
Inverse of a Matrix
Gaussian Elimination
Nonlinear Systems of Equations
Unit 3: Quadratic Functions (Oct. 7 – Oct. 29)
Textbook: Chapter 4
Unit Question: How do we model physical phenomena?
Standard, Intercept, and Vertex Forms of a Quadratic
Factoring a Quadratic
Graphing Quadratic Functions
Completing the Square
The Quadratic Formula
Finding Complex Roots
Optimizing Quadratics
Quadratic Inequalities
Inverse of a Quadratic
Square Root Functions
Unit 4: Polynomial Functions (Oct. 23 – Nov. 6, Test on Nov. 14-15)
Textbook: Chapter 5
Unit Question: How do we describe different types of change?
Sums & Differences of Cubes
Factoring By Grouping
Polynomial Long Division
Rational Roots
Irrational and Complex Roots
Synthetic Division
End Behavior
Graphing Polynomials
Finding Polynomial Functions from the Graph
Inverses of Polynomial Functions
Unit 5: Exponential and Logarithmic Functions (Nov. 7 – Dec. 6)
Textbook: Chapters 6 & 7
Unit Question: How do we model proportional change?
Exponent Rules
Rational Exponents
Cube Roots and Nth Roots
Exponential Growth and Decay Functions
Modeling Population Growth
Compound Interest
Euler’s Number and Continuous Compounding
Finding Exponential Equations from Graphs
Inverses of Exponents
Changing an Equation from Exponential to Logarithmic Form
Logarithmic Properties
Changing Bases
Solving Exponential Equations
Solving Logarithmic Equations
Semester Review (Dec. 9-16)
Semester Exams (Dec. 17-20)