District Curriculum Overview

 

Subject:   Mathematics                      Course:  324 Algebra 2 Honors – Real and Complex Variables                 Grade Level: 9 – 12

 

Concepts

Topics/Units

Content/Skills

Essential Activities/Agreements

Describing sequences using recursive and explicit formulas

Connecting sequences to graphs

Sequences

·         Recursive/explicit formulas

·         Arithmetic and geometric sequences

 

Using linear and piecewise functions to model real world situations

Functions

·         Euler notation

·         Linear and piecewise notation

·         Composition & Inverses

Writing project

Graded assignment

Applying the concepts of quadratic functions to practical situations

Quadratic Functions

·         Vertex, standard, factored forms

·         Graphs of quadratics equations

Writing assignment

Graded assignment

Understanding general behavior of higher-order polynomial graphs and equations

Polynomial Functions I

·         Polynomial graphs,  roots, equations

Writing assignment

Applying the concepts of polynomial functions to practical situations

Polynomial Functions II

·         Roots: synthetic division

·         Rational root theorem

·         Method of finite differences

Applications

Polynomial Jeopardy

Finding complex roots of polynomials

 

Complex Numbers

 

·         Operations w/ complex numbers

·         Graphing on the complex plane

·         Results for polynomials

Common Midterm Exam

Graphing rational functions and

applying the concepts to practical situations

Rational Functions

·         Domain and range

·         Asymptotes

·         “Holes” in the graph

Computer Lab

Applications

Simplify expressions and solving equations involving exponents

Exponents

·         Exponent rules

·         Solving equations

Test

Applying exponential functions to financial situations

Exponential Functions

·         Graphs

·         Economic applications

Test

 

Applying  logarithms solve growth and decay problems

Logarithms

·         Laws of logarithms

·         Solving equations

Creative writing project

Applications

Describing a particular transformation in both words and Euler notation

Transformations of Functions

·         Types of transformations

·         Graphs

·         Symmetry

Graphic design project

Common Final Exam