View or Print the Standards

 

Ideas for Progress: Mathematics, Range 24–27

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

Score Range 24–27
Number and Quantity
  • apply and use elementary number concepts and properties to model real-world and mathematical problems
  • describe the difference between a rational number and an irrational number
  • use integer exponents to express repeated multiplication
  • describe the relationship between exponents and roots
  • understand the meaning of a vector, and identify examples of vector quantities
Algebra and Functions
  • model real-world and mathematical problems that involve a combination of rates, proportions, and/or percents
  • create functions, and use characteristics of basic function families (e.g., linear, absolute value, quadratic) to model real-world and mathematical problems
  • graph linear equations and inequalities, determine slopes of lines, identify parallel and perpendicular lines, and find distances
Algebra
  • apply algebraic properties to rewrite simple expressions in equivalent forms (e.g., rationalize denominators)
  • model real-world and mathematical problems, using systems of two linear equations or inequalities
  • explore and use different methods to solve systems of equations
Functions
  • write expressions for composite functions
Geometry
  • apply a variety of strategies that use relationships between perimeter, area, and volume to calculate desired measures
  • model appropriate geometric objects as a composite of circles, semicircles, triangles, and/or rectangles
  • apply special right-triangle properties and the Pythagorean theorem to solve real-world and mathematical problems involving congruent and similar shapes
  • use basic trigonometric ratios to solve problems involving indirect measurement
  • 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
Statistics and Probability
  • find the probability of simple, disjoint, compound, and independent events in a variety of real-world and mathematical problems, using a variety of counting techniques
  • construct and analyze Venn diagrams to help determine simple probabilities
  • distinguish between independent and dependent events, and provide examples of each
  • identify and describe examples of events that are conditional