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ACT Math Test Content

(60 Minutes – 60 Questions)

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Our program fosters foundational mastery by ensuring a solid understanding of Pre-Algebra, Intermediate Algebra, Geometry, Statistics/Probability, and Trigonometry skills.

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Students have 60 minutes to complete 60 multiple-choice questions that are presented across eight reporting categories.  The math test measures students’ proficiency in Algebra, Numbers and Quantity, Functions, Geometry, Statistics and Probability and Modeling.  Knowledge in essential math skills (i.e. percentages, proportional relationships) is also tested.

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I    Preparing for Higher Math (57–60%) | Approx. 35 Questions

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Number & Quantity (7–10%): Demonstrate knowledge of real and complex number systems. Students will understand and reason with numerical quantities in many forms, including integer and rational exponents, and vectors and matrices.​

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Algebra (12–15%):  Solve, graph, and model multiple types of expressions. Students will employ many different kinds of equations, including but not limited to linear, polynomial, radical, and exponential relationships. The student will find solutions to systems of equations, even when represented by simple matrices, and apply their knowledge to applications.

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Functions (12–15%):  The questions in this category test knowledge of function definition, notation, representation, and application. Questions may include but are not limited to linear, radical, piecewise, polynomial, and logarithmic functions. Students will manipulate and translate functions, as well as find and apply important features of graphs.

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Geometry (12–15%):  Define and apply knowledge of shapes and solids, such as congruence and similarity relationships or surface area and volume measurements. Understand composition of objects, and solve for missing values in triangles, circles, and other figures, including using trigonometric ratios and equations of conic sections.

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Statistics & Probability (8–12%):  Describe center and spread of distributions, apply and analyze data collection methods, understand and model relationships in bivariate data, and calculate probabilities, including the related sample spaceIntegrating

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II.   Essential Skills (40–43%) | Approx. 24 Questions

These questions address concepts typically learned before 8th grade, such as rates and percentages; proportional relationships; area, surface area, and volume; average and median; and expressing numbers in different ways. Students will solve problems of increasing complexity, combine skills in longer chains of steps, apply skills in more varied contexts, understand more connections, and become more fluent.

 

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III.  Modeling (>25%) | Approx. > 28 Questions

This category represents all questions that involve producing, interpreting, understanding, evaluating, and improving models. Each question is also counted in other appropriate reporting categories above. This category is an overall measure of how well students use modeling skills across mathematical topics.

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