## Pre-Calculus

** Credits:** 1

**2 segments / 32-36 weeks**

**Estimated Completion Time:****October 2018**

**Earliest Start Date:**### Pre-Requisites:

Algebra 1, Geometry, and Algebra 2

### Description

Pre-Calculus is an honors-only course.

Access the site links below to view the Florida Department of Education description and standards:

Honors course description: http://www.cpalms.org/Public/PreviewCourse/Preview/13018

### Major Topics and Concepts

**Segment 1**

Functions and Their Graphs

Introduction to Function

Graphs of Function

Shifting, Reflecting and Stretching Graphs

Combinations of Functions

Inverse Functions

Polynomial and Rational Functions

Quadratic Functions

Polynomial Functions of Higher Degree

Real Zeros of Polynomial Functions

Complex Numbers

The Fundamental Theorem of Algebra

Writing about Polynomials

Rational Functions and Asymptotes

Graphs of Rational Functions

Exponential and Logarithmic Functions

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Solving Exponential and Logarithmic Equations and their Models

Trigonometric Functions

Radian and Degree Measure

Trigonometric Functions: The Unit Circle, Any Angle

Right Triangle Trigonometry

Trigonometric Function of Any Angle

Graphs and Analysis of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Analytic Trigonometry

Using Fundamental Identities

Verifying Trigonometric Identities

Solving Trigonometric Equations: Linear, Factored or Quadratic

Sum and Difference Formulas

Multiple Angle Formulas

**Segment 2**

Additional Topics in Trigonometry

Laws of Sines and Cosines and Applications

Vectors in the Plane and 3 Dimensions

Vectors and Dot Products

Cross Product of To Vectors

Complex Numbers in Trigonometric Form and DeMoivre’s Theorem for Roots

Sequences, Series, and Poof by Induction

Sequences and Summation Notation

Arithmetic and Geometric Sequences

Mathematical Induction

Topics in Analytic Geometry

Conic Sections: Parabolas, Ellipses, Hyperbolas

Conics Collage

Parametric Equations

Polar Coordinates and their Graphs

Limits and Introduction to Calculus

Introduction to Limits

Evaluating Limits and One-Sided Limits

Continuity at a Point

### Required Materials

### Course Grading

Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. This course will use the state-approved grading scale. Each course contains a mandatory final exam or culminating project that will be weighted at 20% of the student’s overall grade.***

***Proctored exams can be requested by FLVS at any time and for any reason in an effort to ensure academic integrity. When taking the exam to assess a student’s integrity, the exam must be passed with at least a 59.5% in order to earn credit for the course.

### Communication Policy

To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, “any pace” still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is monthly. When teachers, students, and parents work together, students are successful.

Math

Angie Miller, Staci Brown, Zachary Grammon