Math HS I - Algebra II / Intro to Pre-Calculus (Virtual)

In addition to Algebra II topics, the above list covers a comprehensive range of Pre-Calculus topics. This includes a deeper dive into trigonometry, advanced functions, sequences and series, matrices, conic sections, parametric equations, and introductory calculus concepts. Incorporating these topics will ensure that students have a strong foundation and are well-prepared for calculus and other advanced mathematics courses.

Math HS I Topics:

Logarithms and Exponentials

1. Meaning of Logarithms
2. Properties of Logarithms
3. Solving Exponential and Logarithmic Equations
4. Exponential Equations with Logarithms and Writing Logs in Terms of Others
5. Discrete and Continuous Exponential Growth and Decay
6. Graphing Exponential Functions
7. Graphing Logarithmic Functions

Trigonometry

1. Right Triangle Trigonometry and Evaluating Ratios
2. Angles and Angle Measure
3. Coterminal Angles and Reference Angles
4. Unit Circle
5. Exact Trigonometric Values of Special Angles
6. Law of Sines
7. Law of Cosines
8. Graphing Trigonometric Functions $$y=sin⁡x and $$y=cos⁡x
9. Graphing Trigonometric Functions $$y=tan⁡x and $$y=cot⁡x
10. Solving Trigonometric Equations
11. Advanced Topics in Trigonometry

Polynomial and Rational Functions

1. Dividing Polynomials
2. Graphing Polynomial Functions
3. Rational Functions and Their Graphs

Analytical Geometry

1. Conic Sections (Parabolas, Circles, Ellipses, Hyperbolas)
2. Parametric Equations
3. Polar Coordinates and Graphs

Vectors and Their Applications

1. Vector Operations
2. Dot Product and Cross Product
3. Applications in Physics and Engineering

Sequences and Series

1. Arithmetic Sequences and Series
2. Geometric Sequences and Series
3. Sigma Notation
4. Convergence and Divergence
5. Binomial Theorem

Limits and Continuity

1. Understanding Limits
2. Evaluating Limits
3. Continuity and Discontinuities

Introduction to Calculus Concepts

1. Basic Differentiation
2. Basic Integration
3. Area Under a Curve

Complex Numbers

1. Operations with Complex Numbers
2. Polar Form of Complex Numbers
3. De Moivre’s Theorem

Matrices and Determinants

1. Matrix Operations
2. Inverses and Determinants
3. Solving Systems of Equations Using Matrices
4. Applications of Matrices

​Returning students: This class is recommended for students who have successfully completed our Math MS IV class in the prior school year.

New students: Assessment is required prior to confirming student's registration.  To request an assessment, please send us an email to [email protected]