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Ideas for Progress: Range 24–27

ACT Explore/ACT Plan/The ACT Mathematics

Entries followed by a dagger (†) apply to the ACT Mathematics Test only.

To enhance their skills in each mathematics-related strand, students who score in the 24–27 score range may benefit from activities that encourage them to do the following:

Score Range 24–27
Basic Operations & Applications
  • model and solve real-world problems that involve a combination of rates, proportions, and/or percents
Probability, Statistics, & Data Analysis
  • find the probability of simple events, disjoint events, compound events, and independent events in a variety of settings using a variety of counting techniques
Numbers: Concepts & Properties
  • apply and use elementary number concepts and number properties to model and solve nonroutine problems that involve new ideas
Expressions, Equations, & Inequalities
  • create and use basic families of functions (which include linear, absolute value, and quadratic) to model and solve problems in common settings
  • explore and use different methods to solve systems of equations
  • manipulate radical expressions (e.g., rationalize denominators)
Graphical Representations
  • graph linear equations and inequalities, determine slopes of lines, identify parallel and perpendicular lines, and find distances
  • identify characteristics of figures from a general equation
Properties of Plane Figures
  • apply special right-triangle properties and the Pythagorean theorem to solve congruent and similar shape problems
Measurement
  • apply a variety of strategies using relationships between perimeter, area, and volume to calculate desired measures
Functions†
  • write an expression for and evaluate composite functions†
  • use basic trigonometric ratios to solve problems involving indirect measurement†