# ACT Math Tutor

The ACT is a national college entrance exam for four-year college programs in all American Universities. ACT mathematics tests consist of 60 multiple-choice questions that must be answered in 60 minutes. The test is designed to test reasoning and problem-solving skills that are utilized to solve mathematical problems.

The test will also requires students to select tools and computational strategies to investigate mathematical ideas and to solve problems and make connections among mathematical concepts and procedures, and relate mathematical ideas to situations or phenomena drawn from other contexts.

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### ACT Math Sample Curriculum

#### Pre-Algebra

- Demonstrate an understanding of the basic operations using whole numbers, decimals, fractions, and integers
- Solve problems with linear equations in one variable, absolute value and ordering numbers by value
- Demonstrate elementary counting techniques and simple probability
- Collect data and interpret it and representing it using graphs and other representations and show an understanding of simple descriptive statistics
- Solve problems involving place value, square roots and approximations
- Show an understanding of the concept of exponents, scientific notation, factors; ratio, proportion, and percent

#### Elementary Algebra

- Answer questions based on properties of exponents and square roots
- Solve quadratic equations by factoring
- Evaluate algebraic expressions through substitution, using variables to express functional relationships
- Demonstrate an understanding of algebraic operations

#### Intermediate Algebra

- Solve problems with systems of equations, quadratic inequalities, functions, modeling, matrices, roots of polynomials, and complex numbers
- Demonstrate an understanding of the quadratic formula, rational and radical expressions, absolute value equations and inequalities
- Show an understanding of sequences and patterns

#### Coordinate Geometry

- Demonstrate an understanding of graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves
- Solve problems with graphing inequalities, slope; parallel and perpendicular lines, distance; midpoints, and conics

#### Plane Geometry

- Questions are based on the properties and relations of plane figures, including angles and relations among perpendicular and parallel lines
- Solve problems using transformations; the concept of proof and proof techniques, volume, and applications of geometry to three dimensions
- Demonstrate an understanding of the properties of circles, triangles, rectangles, parallelograms, and trapezoids

#### Trigonometry

- Questions here are based on an understanding of trigonometric relations in right triangles as well as the values and properties of trigonometric functions
- Questions included here will feature the use of trigonometric identities, and solving trigonometric equations
- Demonstrate an understanding of graphing trigonometric functions and modeling using trigonometric functions