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 |