Pre-Algebra
- Basic operations using whole numbers, decimals, fractions, and integers
- Place value
- Square roots and approximations
- The concept of exponents
- Scientific notation
- Factors
- Ratio, proportion, and percent
- Linear equations in one variable
- Absolute value and ordering numbers by value
- Elementary counting techniques and simple probability
- Data collection, representation, and interpretation
- Understanding simple descriptive statistics
Elementary Algebra
- Properties of exponents and square roots
- Evaluation of algebraic expressions through substitution
- Using variables to express functional relationships
- Understanding algebraic operations
- The solution of quadratic equations by factoring
Intermediate Algebra
- The quadratic formula
- Rational and radical expressions
- Absolute value equations and inequalities
- Sequences and patterns
- Systems of equations
- Quadratic inequalities
- Functions and modelling
- Matrices
- Roots of polynomials
- Complex numbers
Coordinate Geometry
- Graphing inequalities,
- Slope,
- Parallel and perpendicular lines,
- Distance,
- Midpoints,
Plane Geometry
- Properties and relations of plane figures, including angles and relations among perpendicular and parallel lines
- Properties of circles, triangles, rectangles, parallelograms, and trapezoids
- Transformations
- The concept of proof and proof techniques
- Volume
- Applications of geometry to three dimensions
Trigonometry
- Trigonometric relations in right triangles,
- Values and properties of trigonometric functions,
- Graphing trigonometric functions,
- Modeling using trigonometric functions,
- Use of trigonometric identities,
- Solving trigonometric equations.
