Math 12 Curriculum

1.  Graphing

(a)           Y = editor

(b)           Table and Trace

(c)           Window

(d)           Solve

(e)           Zeroes

(f)              Intersection

(g)           Factoring

2.  Functions

(a)           Functions Review

(b)           Domain and Range

(c)           Maximum and Minimum

(d)           Intervals of Increasing and Decreasing

(e)           Even and Odd Functions

3.  Transformations

(a)           Rigid Transformations

(b)           Non-rigid Transformations

(c)           Writing Equations Given Graphs

(d)           Combination of Functions

(e)           Composition of Functions

(f)              Inverses

(g)           Review

4.  Quadratic Functions

(a)           Vertex Form of a Parabola

(b)           Complete the Square

(c)           Writing Quadratic Equations

(d)           Quadratic Applications

(e)           Maximum Area

(f)              Maximum Volume

(g)           Projectile Motion

(h)           Economic Applications

5.  Polynomial Functions

(a)           Polynomial Functions

(b)           Writing and Sketching Polynomials

(c)           Division of Polynomials

(d)           Rational Zero Theorem

(e)           Complex Numbers

(f)              Fundamental Theorem of Algebra

6.  Rational Functions

(a)           Rational Functions – Asymptotes

(b)           Rational Functions – Zeroes and Applications

(c)           Sketching Rational Functions

7.  Exponential Functions

(a)           Exponential Functions

(b)           Compound Interest

(c)           Continuous Compounding

8.  Logarithmic Functions

(a)           Log Properties

(b)           Sketching Log Functions

(c)           Log Laws

(d)           Solving Exponential and Logarithmic Equations

(e)           Applications

9.  Finance

(a)           Finance Applications

(b)           Yield and Future Value

(c)           Present Value

(d)           Formula Summary

(e)           Finance Review

(f)              Exponential Growth and Decay

10.  Trigonometry

(a)           Trigonometry Review

(b)           Trigonometry Functions

(c)           Right Triangle Trigonometry

(d)           Remaining Trig Values

(e)           Simple Trig Values

11.  Trigonometric Graphs

(a)           Graphing Trig Functions

(b)           Phase Shifts

(c)           Trigonometric Applications

12.  Sequences

(a)           Sequences

(b)           Series

(c)           Arithmetic Sequences

(d)           Arithmetic Series

(e)           Geometric Sequences

(f)              Geometric Series

(g)           Mathematical Induction

13.  Limits

(a)           Introduction to Limits

(b)           Properties of Limits

(c)           Limit Techniques

(d)           Limits to Infinity

(e)           Complete Limits

14.  Derivative

(a)           Slope of tangents

(b)           Limit Definition of Derivative

(c)           Equations of Tangent

(d)           Horizontal Tangents

15.  Derivative Rules

(a)           Rate of Change

(b)           Instantaneous Rate of Change

(c)           Power Rule of Derivatives

(d)           Sum and Difference of Derivatives

16.  Derivative Applications

(a)           Derivative Applications

(b)           Tangent Applications

(c)           Product Rule

(d)           Quotient Rule

(e)           Chain Rule