Pre-Calculus

Course Description

This course prepares the student for the formal study of calculus by exploring function in depth.  Functions of all types (linear, quadratic, rational, exponential, logarithmic, and trigonometric) are studied with the help of a graphing calculator.  Emphasis will be on using graphing representations as a problem solving technique. Today’s technology allows the power of visualization to apply a graph to a problem situation in order to help find a solution.

Key Course Learning Experiences

Students will model data using exponential, logarithmic, and logistic functions.

Students will analyze and graph equations of parabolas, ellipses, & hyperbolas, 

Students will organize statistical data, and will find measures of central tendency.  They will calculate probabilities of dependent and independent events, learning to use a discerning eye to evaluate real life scenarios.

Students will estimate limits and find instantaneous rates of change by calculating slopes of tangent lines and by calculating derivatives. 

Students will create and evaluate matrices. 

Students will identify and use basic trigonometric identities to find trigonometric values.  They will use basic trigonometric identities to simplify and rewrite trigonometric expressions..

Essential Learning Goals

Problem Solving (25%)

Students will apply and adapt a variety of appropriate strategies to solve problems.

Reasoning and Proof (25%)

Students will develop and evaluate mathematical arguments and proofs and justify your rationale.

Communication (25%) 

Students will communicate mathematical thinking coherently and precisely, and analyze the work of peers or teacher generated materials.

Representation (25%)

Students will select, apply, and translate among mathematical representations to solve problems.

Major Assessments and Success Criteria  

 Students will use the study of advanced algebra topics to build a foundation for exploring the basic premise behind the study of calculus.  Students will engage in formative practices and summative assessments, employing the essential learning goals listed above as applied to advanced algebra and pre-calculus topics of study. Through a process of reflection and revision, students will work towards mastery of his/her learning. Assessments will be multifaceted with an emphasis on skills that will enhance their upper level math thinking, and will relate mathematics to the real world.