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Trigonometry, identities, polar equations, logarithms, sequences, limits and other topics to prepare for calculus

  • Pythagorean Theorem
  • Special Right Triangles (30°- 60°- 90° and 45°- 45°- 90°)
  • Trigonometric Ratios
  • Inverse Trigonometric Ratios
  • Interpreting the Trigonometry Tables
  • Using the Trig. Table to Solve for the Unknown
  • Using a Calculator and Arc Functions
  • Angles of Elevation and Depression
  • Angles less than 0°
  • Angles greater than 360°
  • Reference Angles
  • Cofunctions
  • Negative Angle Relationships
  • Proving Trigonometric Identities
  • Sum and Difference Identities
  • Double-Angle and Half-Angle Identities
  • Law of Sines
  • Law of Cosines
  • Ambiguity in the Law of Sines
  • Radian Measure
  • Polar Coordinates and Rectangular Coordinates
  • Polar Equations and Polar Graphs
  • Vectors
  • Functions: Relation, Domain, and Range
  • Graphing the Sine and Cosine Functions
  • Graphing the Secant and Cosecant Functions
  • Graphing the Tangent and Cotangent Functions
  • Logarithms
  • Arithmetic Sequences and Series
  • Geometric Sequences and Series
  • Proof of Cos (A - B) = Cos A Cos B + Sin A Sin B
  • Finding the Area of a Triangle Trigonometrically
  • Interpolation
  • Navigation
  • Natural Logarithms
  • Equations with Absolute Value
  • Equations with Radicals
  • Inequalities with Absolute Value
  • Inequalities with Radicals
  • Limits
Necessary Materials
 PreCalculus Student Kit 

PreCalculus Student Kit


 PreCalculus Teacher Pack 

PreCalculus Teacher Pack


PreCalculus Demonstraction Video
Helpful Links
Sample Pages   Sample Pages
Here are a few sample pages for you to see what this curriculum is like.
(requires Adobe Reader)
Scope and Sequence   Scope and Sequence
A walkthrough of the lessons and topics covered in this curriculum.
(requires Adobe Reader)
Placement Testing   Placement Testing
The competency exams were created for the benefit of the teacher and the student, to determine what level of mathematics the student has mastered so they will know in which book to begin.
Lower Level
Upper Level
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Thank you so much! It used to be so hard for my kids to do their math because it never explained how to do it. This has helped my four kids over the years to become very good in math!
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