Course Objectives
- A strong foundation in algebraic operations, exponents, and number systems
- Fluency with functions and their properties, including polynomials and graphs
- Skill in solving and modeling with linear, quadratic, and exponential equations and inequalities
- Experience with systems of equations, sequences and series, factorials, and matrices
- Confidence working through college-level math problems independently
Course Topics
1: Operations and Intro to Algebra
1.1: Operations
1. Use order of operations and core properties of real numbers (commutative, associative, distributive, identity) to simplify multi-step problems.
2. Perform core arithmetic operations to numerical and algebraic fractions, including reducing fractions, multiplying/dividing fractions, and adding/subtracting fractions using the least common denominator.
3. Apply exponent rules to simplify expressions including product/quotient/power rules and zero/negative exponents to rewrite expressions in simplest form.
4. Use order of operations and core properties (commutative, associative, distributive, identity) to simplify multi-step problems.
1.2: Number Sets
2: Functions and Their Properties
2.1: Functions
2.2: Polynomials
3: Equations and Inequalities
3.1: Linear Models
3.2: Quadratic Models
3.3: Exponential Models
4: Systems, Sequences, Series, and Such
4.1: Systems of Equations
4.2: Sequences and Series
4.3: Factorials