Mathematics Pre Calculus

Polynomial and Rational Functions

Trig Functions

Analytica Geometry

Derivatives

(grade level expectations or standards)

Solving Systems

Linear (with 3 or more variables)

Augmented Matrices

Matrices on Calculators

Applications – Real world

Area of Triangle

Test Points to see if Collinear

Decoding 

Domain and Range

Real Value vs. Discrete Functions

Graph and model

Find maximum and minimum values

Find zeros

Increasing vs. Decreasing

Concavity

Inverse and Direct Variation

Limits of functions

Composition of Functions

Composition of Inverse functions 
 
 
 
 
 

Define and Graph

Describe the behavior

Find Domain and Range

Simplify exponential and logarithmic expressions

Find the inverse of an exponential equation

Properties of the logarithmic expressions

Solve exponential and logarithmic equations

Change the bases of a logarithmic expression

Solve real world problems

Base e and the natural logarithm 

Analyzing Trig functions

Circular functions

Identities

Graphing

Increasing and decreasing

Transformations

Solving trig equations

Trigonometric formulas

Sum and difference

Multiple angle

Product to Sum

Laws of Sines and Cosines

Solving problems using laws of trigonometry

Inverse trig functions

Applications of trigonometry to real world situations

Series

Sequences

Define and graph sequences and series

Calculate the nth term of a sequence and series

Recursive Formulas

Explicit Formulas

Sum of sequences

Limits (lower and upper bound)

The Binomial theorem 

Analytical Geometry

Points and lines in Space

Conic sections

Parabola

Ellipse

Hyperbola

Vectors:

• Graphing
• Addition and Subtraction
• Dot (Cross) Product

Three dimensional coordinates

Lines and Planes in space

Transformation of Geometric figures in the coordinate plane 
 

Limits

Continuity

Tangent lines and slopes

Riemann Sum

Area under the curve

(names only)

Linear Programing 

Analysis of Parabolas 

Asymptotes and End Behavior

Exponential growth and decay 

Proving Identities 

Analysis of sinusoids

• Technology and Recursives
• Sequences and Series in real life
• Analysis of conic sections I
• Analysis of conic sections 2

Limits of Rational Functions 

Max/min problems 

Definition of derivative

Supporting Materials

(text, calcs, manips)

Supporting software

Graphing calculators

Web-based applications

Supporting software

Graphing calculators

Web-based applications

Supporting software

Graphing calculators

Web-based applications

Supporting software

Graphing calculators

Web-based applications