High School PreCalculus Honors

License Model
FlexPoint or School/District Hosted

Number of Credits
1.0

Estimated Completion Time
3236 weeks
Suggested Prerequisites
Algebra 1, Algebra 2, GeometryDescription
Explore new concepts that will take your math knowledge to new heights. Dive deeper into your knowledge of functions by analyzing their key features and combining them to solve realworld problems. Learn about trigonometric functions and their applications, along with new ways to use the coordinate plane to represent different types of functions. Apply these skills to discover the power mathematics has in everyday life and to prepare for advanced mathematical studies in college or your future career.Module One: Functions
Determine key features of different function types
Interpret key features of different function types
Solve problems modeled with different function types
Graph different function types
Apply functions to realworld contexts
Determine the constraints from realworld contexts
Module Two: Applications of Functions
Compare key features of functions
Solve systems of equations
Combine functions
Compose functions
Determine inverse functions
Find and apply the difference quotient
Analyze realworld applications of function combinations
Module Three: Conics
Derive equations of conic sections
Determine equations of conic sections
Determine key features of conic sections
Interpret key features of conic sections
Analyze realworld applications of conic sections
Module Four: Sequences and Series
Determine arithmetic and geometric sequences
Differentiate between arithmetic and geometric sequences
Solve problems using formulas for sequences and series
Solve problems using summation notation
Analyze realworld applications of sequences and series
Module Five: Trigonometry
Define trigonometric functions
Convert angle measures between degrees and radians
Differentiate between reference angles and coterminal angles
Apply the Laws of Sines and Cosines
Determine the values on the unit circle
Verify trigonometric functions using the unit circle
Apply technology with trigonometric functions
Graph trigonometric functions
Determine key features of trigonometric functions
Analyze realworld applications of trigonometric functions
Module Six: Trigonometric Identities and Formulas
Prove and apply Pythagorean identities
Simplify expressions using trigonometric identities
Prove angle formulas for sine, cosine, and tangent
Apply angle formulas for sine, cosine, and tangent
Solve trigonometric equations
Analyze realworld applications of trigonometric equations
Module Seven: Vectors
Define vectors using magnitude and direction
Represent vectors in different forms
Perform operations on vectors algebraically and graphically
Apply the dot product to solve problems
Apply vector projections to solve problems
Analyze properties of vector scalar multiples
Analyze realworld applications of vectors
Module Eight: Analyzing the Coordinate Plane
Define and plot polar coordinates
Convert coordinates between polar and rectangular forms
Graph polar equations
Represent complex numbers using polar and rectangular coordinates
Calculate distance on the complex coordinate plane
Multiply complex numbers in trigonometric form
Analyze realworld applications of complex numbers
Graph parametric equations
Convert between parametric and rectangular equations
Analyze realworld applications of parametric equationsÂ