PreCalculus

PreCalculus

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

Major Concepts and Skills Include:

• Understanding and working with trigonometric ratios, their reciprocals, and their inverses
• Working with trigonometric expressions and identities
• Understanding and working with polar coordinates and radian measure
• Graphing and analyzing trigonometric functions
• Understanding functions, limits, domain, and range
• Working with Arithmetic and Geometric Series and Sequences

Additional Concepts and Skills:

• Understanding and applying the Laws of Sines and Cosines
• Understanding and applying the Sum, Difference, Double-Angle, and Half-Angle Identities
• Proving trigonometric identities
• Working with vectors and adding linear functions
• Understanding and working with logarithms
• Working with Euler's number and natural logarithms

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• Primer
• Alpha
• Beta
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• Delta
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• Pre-Algebra
• Algebra 1
• Geometry
• Algebra 2
• PreCalculus
• Calculus
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Our research-based, developmental approach uses five essential activities (listening, reading, chunking, copywork, and dictation) to help students become confident spellers.

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Explore PreCalculus's Scope and Sequence

• 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
• 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