MAT1200: Pre-Calculus

05/01/2023 to 04/30/2024 • Modified 06/08/2023

Course Description

This year-long course will begin with a review of essential algebraic concepts and expand to include more advanced algebraic and trigonometric concepts needed for calculus and higher mathematics. Students will review such topics as exponents, functions, radicals, polynomials, factoring, and complex numbers. The student will then study material related to trigonometric identities, systems of equations and matrices, and graphing everything from linear and quadratic functions to vectors and polar coordinates. Concepts such as absolute value, synthetic division, and radical expressions will be coupled with real-life applications of trigonometric functions, combinations, and probability. Students will have access to engaging multimedia video lectures, notes pages for each lesson summarizing the video content, practice problems, and assessments. All video lessons include a transcript and closed captioning in English and Spanish.

Prerequisite

Algebra II and Geometry

Schedule

Module 1: Prerequisites

• Week 1: Prerequisites: Basic Algebra Review
• Week 2: Prerequisites: Rational Exponents, Radicals, and Polynomials
• Week 3: Prerequisites: Factoring and Rational Expressions
• Week 4: Prerequisites: Solving Equations, Complex Numbers, and Module 1 Assessments

Module 2: Relations and Functions

• Week 5: Coordinates, Intercepts, and Circles
• Week 6: Slope and Equations of Lines
• Week 7: Functions and Graphs of Functions
• Week 8: Transformations and Combinations of Functions
• Week 9: Module 2 and Quarter 1 Assessments

Module 3: Polynomial Functions

• Week 10: Inverse and Quadratic Functions
• Week 11: Polynomial Functions
• Week 12: Zeros and The Fundamental Theorem of Algebra
• Week 13: Exponential Functions

Module 4: Exponential & Logarithmic Functions

• Week 14: Logarithmic Functions
• Week 15: Properties of Logarithms, Solving Exponential and Logarithmic Equations
• Week 16: Exponential and Logarithmic Models
• Week 17: Rational Functions and Conics
• Week 18: Module 4 and Quarter 2 Assessments

Module 5: The Trigonometric Functions

• Week 19: Angles and Their Measure and Right Triangle Trigonometry
• Week 20: Trigonometric Functions in the Coordinate Plane and Unit Circle Trigonometry
• Week 21: Graphing Sine and Cosine Functions
• Week 22: Graphing Other Trigonometric Functions and Module 5 Assessment

Module 6: More with Trigonometric Functions

• Week 23: Inverse Trigonometric Functions and Applications of Trigonometric Functions
• Week 24: Fundamental Trigonometric Identities
• Week 25: Solving Trigonometric Equations
• Week 26: Trigonometric Formulas
• Week 27: Module 6 and Quarter 3 Assessments

Module 7: Applications of Trigonometry & Systems of Equations

• Week 28: The Law of Sines and The Law of Cosines
• Week 29: Vectors and Complex Numbers
• Week 30: Solving Systems of Linear Equations
• Week 31: Matrices, Systems of Equations, and Module 7 Assessment

• Week 32: Determinants and Inverses of Matrices
• Week 33: Analytic Geometry
• Week 34: Sequences and Series, Arithmetic Sequences
• Week 35: Geometric Sequences, Induction, and Probability
• Week 36: Module 8 and Quarter 4 Assessments

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