## 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
• 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
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