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

conventional notation.**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.

**Calculus Readiness**

*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**

*25 questions
30 minutes*

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

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