## ACT Syllabus

- 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

- 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

- The quadratic formula
- Rational and radical expressions
- Absolute value equations and inequalities
- Sequences and patterns
- Systems of equations
- Quadratic inequalities
- Functions and modeling
- Matrices
- Roots of polynomials
- Complex numbers

- Graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves
- Graphing inequalities
- Slope
- Parallel and perpendicular lines
- Distance
- Midpoints
- Conics

- 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

- 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