PC  PreCalculus Lessons  Topics Covered 
Trig  Reference Angles 
Reference Angle, Terminal Angle 

Trig  Six Trig Functions 
SOHCAHTOA, Quadrants 

Trig  Calculator 
Finding Trig Values using Calculator, Minutes, Seconds, Inverse Trig 

Lesson 
Trig  Right Triangle Word Problems 
SOHCAHTOA, Angle of Depression, Angle of Elevation 
Lesson 
Trig  Sin and Cos Graphs 
Transformations 
Trig  Radians 
Arc Length, Converting Degrees to Radians, Converting Radians to Degrees 

Lesson  Trig  Sin and Cos Graphs in Radians 
Transformations 
Trig  Tan, Cot, Sec, and Csc Graphs 
Transformations 

Trig  Inverse Trig Calculation 
Principal Value, General Solutions 

Trig  Inverse Trig Equations 


Lesson  Trig  Proofs 
Reciprocal, Quotient, Pythagorean Identities 
Lesson  Trig  Sum/Difference of 2 Angles 
sin(AħB), cos(AħB), tan(AħB) 
Lesson  Trig  Double Angle Identities 
sin2A, cos2A, tan2A 
Lesson  Trig  Equations with Special Angles 
Solving Equations with or without Identities 
Lesson  Trig  Angular Velocity  Angular Velocity, Linear Velocity 
Lesson  Trig  Inverse Graphs 
arc, sin, cos, tan, Domain, Range, Transformation 
Lesson  Trig  Inverse Problems with Identities 

Lesson  Trig  Right Triangles  SOHCAHTOA 
Word Problems Revisited 
Lesson  Trig  Law of Cosines 
Find sides and/or angles of Triangles, SAS, SSS 
Lesson  Trig  Area of Triangles 
A = 1/2 bh, A = 1/2 bc sinA, Heron's Formula 
Lesson  Trig  Law of Sines 
Find sides and/or angles of Triangles, ASA, AAS 
Lesson  Trig  Law of Cosines  Ambiguous Case 
Find sides and/or angles of Triangles, SSA 
Lesson  Trig  Vectors 
Magnitude, Adding, Subtracting 
Lesson  Trig  Vectors using Components 
Horizontal, Vertical 
Lesson  Trig  Polar Coordinates 
Plotting Points, Converting Rectangular to Polar, Converting Polar to Rect. 
Lesson  Trig  Polar Graphs 
Circles, Lines, Spiral, Cardioids, Roses, Lemniscates 
Lesson  Real Number System 
Properties, Negatives, Fractions, Sets, Intervals, Absolute Value, Distance 
Lesson  Exponents 
Properties, Radicals, Zero & Negative Exponents, Rational Exponents 
Lesson  Polynomials 
Operations, Factoring 
Lesson  Rational Expressions 
Operations, Simplifying, Rationalizing Denominator or Numerator 
Lesson  Equations 
Solving Linear, Solving Quadratics, Completing the Square, Quadratic Formula 
Lesson  Equations Day 2 
Solving Rational Equations, Solving Radicals, Solving Absolute Values, Projectile Motion 
Lesson  Inequalities 
Solving Polynomials, Absolute Value, Rational Inequalities 
Lesson  Coordinate Geometry 
Coordinate Plane, Midpoint, Distance, Intercepts, Graphing, Circles, Symmetry 
Lesson  Lines 
Slope, PointSlope Form, SlopeIntercept Form, Vertical & Horizontal Lines, Parallel, Perpendicular 
Lesson  Function 
Definition, Piecewise, Domain 
Lesson  Parent Functions 
Cube, Square, Root, Reciprocal, Linear, Absolute Value, Greatest Integer, Vertical Line Test 
Lesson  Increasing/Decreasing Function 
Increasing, Decreasing, Average Rate of Change 
Lesson  Transformations of Parent Functions 
Vertical & Horizontal Shift, Vertical & Horizontal Stretch, Reflection, Even, Odd 
Lesson  Quadratic Equations 
Standard Form, Minimum, Maximum, Vertex 
Lesson  Modeling with Function 
Word Problems 
Lesson  Combining Functions 
Add, Subtract, Multiply, Divide, Composition 
Lesson  One to One (Inverses) Functions 
One to One, Inverse, Horizontal Line Test 
Lesson  Introduction to Polynomials 
End Behavior, Real Zeros, Graphing, Local Extrema 
Lesson  Long Division (Synthetic Division) 
Remainder Theorem, Factor Theorem 
Lesson  Rational Zero Theorem 
Factor Polynomials, Descartes' Rule of Signs 
Lesson  Upper & Lower Bounds  Upper & Lower Bounds 
Lesson  Complex Numbers 
Imaginary Numbers, Add, Subtract, Multiply, Divide 
Lesson  Complex Zeros 
Roots of Quadratics, Conjugate Zero Theorem 
Lesson  Rational Functions 
Graphing, Vertical Asymptotes, Horizontal Asymptotes, Slant Asymptotes 
Exponential Functions 
Graph, Transformations, Natural Number, Compound Interest, Annuities 

Lesson  Logarithmic Functions 
Definition, Properties, Graph, Transformations, Common, Natural 
Lesson  Law of Logarithms 
Expanding, Combining, Change of Base 
Lesson  Exponential/Logarithmic Equations 
Solving Equations 
Lesson  Modeling of Exp./Log Functions 
Compound Interest, Growth & Decay 
Lesson  Sequences and Series 
Recursive, Partial Sum, Sigma Notation 
Lesson  Arithmetic Sequences 
Definition, Finding Terms, Partial Sum 
Lesson  Geometric Sequences 
Definition, Finding Terms, Partial Sum, Infinite Sum 
Lesson  Binomial Theorem 
Pascal's Triangle, Binomial Theorem 