**Subject Area:**Mathematics

**Grade:**912

**Domain-Subdomain:**Functions: Linear, Quadratic, & Exponential Models

**Cluster:**Level 3: Strategic Thinking & Complex Reasoning

**Cluster:**Construct and compare linear, quadratic, and exponential models and solve problems. (Algebra 1 - Supporting Cluster) (Algebra 2 - Supporting Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved

**Assessed:**Yes

**TEST ITEM SPECIFICATIONS**

MAFS.912.F-LE.2.5

**Assessment Limits :**

Exponential functions should be in the form

**Calculator :**

Neutral

**Clarification :**

Students will determine whether the real-world context may be

represented by a linear function or an exponential function and give

the constant rate or the rate of growth or decay.

Students will choose an explanation as to why a context may be

modeled by a linear function or an exponential function.

Students will interpret the rate of change and intercepts of a linear

function when given an equation that models a real-world context.

Students will interpret the x-intercept, y-intercept, and/or rate of

growth or decay of an exponential function given in a real-world

context

**Stimulus Attributes :**

Items should be set in a real-world context.

Items must use function notation.

**Response Attributes :**

Items may require the student to apply the basic modeling cycle.

Items may require the student to choose a parameter that is

described within the real-world context.

Items may require the student to choose an appropriate level of

accuracy.

Items may require the student to choose and interpret the scale in a

graph.

Items may require the student to choose and interpret units.

**SAMPLE TEST ITEMS (1)**

Test Item # |
Question |
Difficulty |
Type |

Sample Item 1 | The graph of function f models the specific humidity in the atmosphere, in grams of water vapor per kilogram of atmospheric gas , versus temperature, in degrees Celsius (ºC), as shown. Four of its points are labeled. This question has
Felicia wants to model the raltionship between temperature, in ºC, and specific humidity, in . Select words to complete the statement about the type of model Felicia should use. The relationship is _____________ because the specific humidity increases by equal ______ over equal intervals of temperature.
Which relationship must be true to justify the function type that models the relationship? |
N/A | : Multiple Types |