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:

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 construct and analyze Venn diagrams to help determine simple probabilities use the inverse relationships for the four basic operations, exponentiation, and root extractions to determine unknown quantities perform basic operations with complex numbers† 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 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) 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†