District
Curriculum Overview
Subject: Mathematics Course: 336 Precalculus Analysis - Honors Grade Level: 9 – 12
Concepts
|
Topics/Units |
Content/Skills |
Essential
Activities/Agreements |
|
Analyzing families of polar
equations and graphs |
Polar
Equations and Graphs |
·
Graph polar
equations ·
Determine
equation from polar graph |
Analysis
project/paper |
|
Understanding the advantage
of calculating in polar form. Understanding the geometry
of powers and roots. |
Complex Numbers |
·
Geometry of
complex numbers ·
Find products,
quotients, powers, and roots of complex numbers ·
Convert between
rectangular and polar form |
Analysis
paper |
|
Understand the geometric definitions and the algebraic equation
for each conic. Applying the concepts to
real life situations |
Conic Sections |
·
Graphing
circles, parabolas, ellipses, and hyperbolas ·
Finding
solutions to systems of second degree equations |
Analysis paper |
|
Using vector equations to
model linear movement Understanding the need for
parametric equations and applying the concepts to real life situations. |
Vectors and Parametric
Equations |
·
Geometric and
algebraic representation of vectors ·
Calculations
with vectors ·
Graph
parametric equations ·
Convert
parametric equation to Cartesian form |
Graded assignment |
|
Understanding the concept
of an infinite sequence and a limit Applying the concepts to
real life situations |
Sequences and Series |
·
Arithmetic/
geometric sequences ·
Finding
recursive and explicit formulas ·
Infinite
sequences ·
Arithmetic,
geometric and infinite series |
Graded assignment Common Final Exam |
|
Understanding iteration and self-similarity Apply sequences/series and
complex numbers to fractals |
Optional Unit: Fractals |
·
Definition/properties
of fractals ·
Creation of the
Mandelbrot Set ·
Fractal
dimension |
Portfolio and/or Project |