Pre-calculus

In this course students will learn functions, trigonometry, polar coordinates, vectors, and an introduction to calculus. Students work throughout the year to gain fundamental skills to be successful in problem solving and applying their learning to the real world. Students take the skills they learn in the class and apply them to real world situations to gain an understanding of how mathematics impacts the world around them. To do this students analyze problems with creativity and critical thinking skills to come up with solutions and then present them in logical fashions. From this course they will have gained the necessary skills to pursue higher level mathematics courses along with the ability to critically analyze their surroundings. 

Unit 1: Functions from a Calculus Perspectives

• Week 1: Domain & Range, Odd/Even Functions, Parent Functions and Transformations of Functions 

• Week 2: Key Attributes of functions, Average rate of change,  Operations on functions, Composite Functions

• Week 3: Inverse Function, Piece Wise Functions, 

• Assessment: Test September 16th

Unit 2: Rational Functions

• Week 1: Polynomial Functions 

• Week 2: Behaviors of polynomial functions

• Week 3: Irrational and complex zeroes

• Week 4: Rational Expressions and binomial theorem

• Week 5: Power functions, review

• Assessment: October 17th

Unit 3: Exponential and Logarithmic Function

• Week 1: Exponential Graphing and word problems, and compound interest

• Week 2: Logarithmic Graphing and word problems

• Week 3: Logarithmic properties and exponential solving, and applications

• Week 4: Euler's number, logarithmic properties and review

• Assessment: November 14th

Unit 4: Trigonometric Functions

• Week 1: Basic Trigonometric Ratios

• Week 2: Inverse trig ratios, reference angles, radians/degrees, 

• Week 3: Unit Circle and graphing sine and cosine

• Week 4: Graphs of reciprocal trigonometric functions

• Week 5: Graphs of inverse trigonometric functions

• Week 6: Applications and modeling harmonic motion, review

Unit 5: Trigonometry Identities

• Week 1: Law of Sine and Cosine

• Week 2: Ambiguous Cases

• Week 3: Triangle Law Applications

• Week 4: Double/Half Angle Formulas and Adding and Subtracting Trig Functions

Unit 6: Vectors

• Week 1: Vector Qualities(Addition, Multiplication, Definitions)

• Week 2: Dot products, trigonometric forms of vectors

Unit 7: Polar Graphs

• Week 1: Polar Coordinates in relation to Rectangular Coordinates

• Week 2: Basic Polar Graphs(Circles and Lines)

• Week 3: Polar Graphs Continued(Limacons, Spirals)

• Week 4: Complex Numbers in the Polar Plane

Unit 8: Conic Sections

• Week 1: Circles and Ellipses

• Week 2: Parabolas and hyperbolas

Unit 9: Sequences and Series

• Week 1: Arithmetic and Geometric Sequences

• Week 2: Series and convergence

Parents and students can find more information of the standards assessed here or at Broad Learning Category on PowerSchool.

The Mathematics Department Reassessment Policy can be found here.