The Concepts Readiness Tests were developed by an MAA task force with close attention to what research indicates to be critical conceptual understandings and skills needed for success in the target course. Concept readiness tests are available for Calculus and Algebra and Precalculus.
Tests are multiple choice. There are 4 parallel versions of each test.
Reasoning Strands for Concept Readiness Tests
- Quantitative Reasoning involves identifying and relating measureable attributes
of an object or situation in a problem context
- Proportional Reasoning involves thinking about how two quantities change such that their ratio remains constant; attending to how one variable changes so that it is always a constant multiple of another variable
- Covariational Reasoning involves thinking about how two quantities in a
functional relationship are changing together; attending to how one variable changes while imagining successive amounts of equal changes in another variable. It involves coordinating two varying quantities that change in tandem while attending to how the quantities change in relation to each other.
- Variable Reasoning involves associating a letter with a numeric value, and flexibly viewing that letter as representing varying values or an unknown value as determined by the context in which the letter is defined or used.
- Functional Reasoning involves either thinking of a function as a process that
accepts input and produces output or making sense of symbols used in mathematical
expressions and giving meaning to the mathematical ideas communicated by
- Graphical Reasoning involves making sense of graphs that represent functions, and interpreting the meaning of attributes of a graph that convey aspects of a function’s behavior.
- Reasoning with Representations involves representing and interpreting a
relationship between numeric values or quantities using graphs, algebraic equations, numeric values, or verbal expressions and using that relationship to change
mathematical representations into equivalent representations that reveal desired information.
- Computational Abilities refers to facility with manipulations and procedures needed to evaluate functions, solve equations, compose functions, and invert linear and exponential functions, within the context of algebraic representations.
20 questions + 5 trigonometry questions
25 minutes (30 with trigonometry)
Proportions: Ratios of quantities in constant proportion
Algebra: Algebraic expressions, equations, inequalities
Functions: Concept, properties, operations
Representations of Functions: Symbolic, graphical, tabular, contextual (verbal)
Analytic Geometry: Circle, parabola, line
Trigonometry: Functions and applications
Models: Functions as models
Algebra and Precalculus Readiness
Notations, Conventions, and Definitions
Modeling: Constructing and interpreting mathematical representations of relationships
Measurement: Angle measure, area, perimeter, circumference, volume
Rate of Change: Constant and average
Function Concepts: Composition, inverse, transformation
Solving equations: Manipulating equation to equivalent form
Inequalities: Representing or solving inequalities
Properties of Reals: Addition, multiplication, order