Pre-Calculus Pathway

Created Aug. 17, 2024 by Deanna Mayers

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Course Summary:

This course is designed to cover topics in Algebra ranging from polynomial, rational, and exponential functions to conic sections. Trigonometry concepts such as Law of Sines and Cosines will be introduced. Students will then begin analytic geometry and calculus concepts such as limits, derivatives, and integrals. This class is important for any student planning to take a college algebra or college pre-calculus class.

Module	Seminar	Challenges
Module 1: Mathematical Modeling	Module 1 Pre-Test Seminar 1 - Functions Seminar 2 - Graphs of Functions Seminar 3 - Operations and Composition of Functions Seminar 4 - Geometry and Modeling Seminar 5 - Systems of Equations Seminar 6 - Geometric Series Module 1 Test	Module 1 Project: Ted's Tablet
Module 2: Trigonometry	Module 2 Pre-Test Seminar 1 - Introduction to Trigonometry Seminar 2 - Angles and Their Measure Seminar 3 - Radians Seminar 4 - Right Triangles and the Unit Circle Seminar 5 - Graphs of Sine and Cosine Seminar 6 - Graphs of Other Trigonometric Functions Module 2 Test	Module 2 Project: Introduction to Trig
Module 3: Trigonometric Functions	Module 3 Pre-Test Background Seminar Seminar 1 - Special Right Triangles Seminar 2 - Even and Odd Functions Seminar 3 - Inverse Trig Functions Seminar 4 - Area of Triangles Seminar 5 - Law of Sines Seminar 6 - Law of Cosines Module 3 Test	Module 3 Project: Individual Periodic Functions
Module 4: Trigonometric Identities	Module 4 Pre-Test Seminar 1 - Identity Seminar 2 - Cosine Addition and Subtraction Identities Seminar 3 - Sine Addition and Subtraction Identities Seminar 4 - Tangent Sum and Difference Identities Seminar 5 - Double-Angle and Half-Angle Identities Module 4 Test	Module 4 Project: Identities
Module 5: Matrices	Module 5 Pre-Test Seminar 1 - Matrices Seminar 2 - Matrix Operations Seminar 3 - Determinants and Inverse Matrices Seminar 4 - Systems of Equations Module 5 Test	Module 5 Project: Vacation
Module 6: Conics	Module 6 Pre-Test Seminar 1 - Circles Seminar 2 - Parabolas Seminar 3 - Ellipses Seminar 4 - Hyperbolas Seminar 5 - Solving Quadratic Systems Module 6 Test	Module 6 Project: Conics Masterpiece Project
Module 7: Vectors	Module 7 Pre-Test Seminar 1 - Vector: Magnitude, Direction and Operation Seminar 2 - Vector Operations Seminar 3 - Transforming Vectors Seminar 4 - Complex Numbers Seminar 5 - Polar Form of Complex Numbers Module 7 Test	Module 7 Project: Vectors
Module 8: Probability	Module 8 Pre-Test Seminar 1 - Basic Counting Principles, Permutations, Combinations Seminar 2 - Binomial Probability and Distribution Seminar 3 - Probability Distributions Seminar 4 - Expected Value Seminar 5 - Theoretical and Empirical Probabilities Seminar 6 - Conditional Probability Module 8 Test	Module 8 Project: Design a Lottery Game

Pre-Calculus Pathway

Standards

Maryland College and Career Ready Math Standards

Common Core State Standards Math