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Ideas for Progress: Range 20–23

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 20–23 score range may benefit from activities that encourage them to do the following:

Score Range 20–23
Basic Operations & Applications
  • apply and use number properties to model and solve problems that involve reasoning with proportions
  • select and use appropriate units when solving problems that involve one or more units of measure
Probability, Statistics, & Data Analysis
  • construct and analyze Venn diagrams to help determine simple probabilities
Numbers: Concepts & Properties
  • use the inverse relationships for the four basic operations, exponentiation, and root extractions to determine unknown quantities
  • perform basic operations with complex numbers†
Expressions, Equations, & Inequalities
  • identify, interpret, and generate symbolic representations that model the context of a problem
  • factor and perform the basic operations on polynomials
  • create and solve linear equations and inequalities that model real-world situations
  • solve literal equations for any variable
Graphical Representations
  • represent and interpret relationships defined by equations and formulas; translate between representations as ordered pairs, graphs, and equations; and investigate symmetry and transformations (e.g., reflections, translations, rotations)
Properties of Plane Figures
  • recognize what geometric properties and relationships for parallel lines to apply to find unknown angle measures
  • recognize when to apply geometric properties and relationships of triangles to find unknown angle measures
  • apply a variety of strategies to determine the circumference or perimeter and the area for circles, triangles, rectangles, and composite geometric figures
  • identify the basic trigonometric ratios†