# Pre-Calculus

**Course Description: **

This rigorous course is for the serious math/science students who will take Calculus in their senior year in high school or freshman year in college. Areas of emphasis are: mathematical induction, extension of the qualitative ideas of function by the study of special functions (greatest integer, circular and trigonometric, polynomial, rational), analytic geometry (rectangular and polar coordinate system), conics, parametric curves, and DeMoivre’s theorem. Structure and method of proof are emphasized.

*This course is offered as a CP(332), Honors(331), and a Dual Enrollment(330) with URI. *

**Length of Course**: 1 Semester

**PBGR**: 1.0 Mathematics

**Prerequisite**

**Text**

*Precalculus with Limits: A Graphical Approach,*8th edition, by Ron Larson and Paul Battaglia

**Standards Addressed**

**High School: Number and Quantity**

- The Real Number System - CCSS.MATH.CONTENT.HSN.RN
- Quantities - CCSS.MATH.CONTENT.HSN.Q.A
- The Complex Number System - CCSS.MATH.CONTENT.HSN.CN

**High School: Algebra**

- Seeing Structure in Expressions - CCSS.MATH.CONTENT.HSA.SSE
- Arithmetic with Polynomials & Rational Expressions - CCSS.MATH.CONTENT.HSA.APR
- Creating Equations - CCSS.MATH.CONTENT.HSA.CED
- Reasoning with Equations & Inequalities - CCSS.MATH.CONTENT.HSA.REI

**High School: Functions**

- Interpreting Functions - CCSS.MATH.CONTENT.HSF.IF
- Building Functions - CCSS.MATH.CONTENT.HSF.BF
- Linear, Quadratic, & Exponential Models - CCSS.MATH.CONTENT.HSF.LE

**High School: Geometry**

- Trigonometry - CCSS.MATH.CONTENT.HSG.SRT

**High School: Trigonometric Functions**

- Extend the domain of trigonometric functions using the unit circle. - CCSS.MATH.CONTENT.HSF.TF
- Model periodic phenomena with trigonometric functions - CCSS.MATH.CONTENT.HSF.TF
- Prove and apply trigonometric identities. - CCSS.MATH.CONTENT.HSF.TF

## Dual Enrollement Option: Pre-Caluculs EE

**Additional Prerequisite**: URI's Math Placement Exam