## Pre-Calculus

Credits: 1
Estimated Completion Time: 2 segments / 32-36 weeks
Earliest Start Date: October 2018

### 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

### 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.

November 7 @ 00:00
00:00 — 01:00 (1h)

Math

Angie Miller, Staci Brown, Zachary Grammon