Grade 11 - Claim 1 - Target K
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Target K
Understand the concept of a function and use function notation
Sample Item
Grade 11Test
Claim 1
Concepts and Procedures
Standards
IF-1
Understand that a function from one set (called the domain) to another set (called the range)...
IF-3
Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For...
Clarifications
Tasks for this target will require students to distinguish between relationships that represent functions and those that do not, including recognizing a sequence as a function. Other tasks will require students to identify the...
Range Achievement Level Descriptors
Evidence Required
1
The student understands that a function from one set (the domain) to another set (the range) assigns to each element of the domain exactly one element of the range (e.g., distinguish between...
2
[Retired Evidence Required statement]
3
The student understands that the graph of f is the graph of the equation y = f(x).
4
The student recognizes that sequences are functions whose domain is a subset of the integers.
Item Guidelines
Depth of Knowledge
M-DOK1
Recall includes the recall of information such as fact, definition, term, or a simple procedure, as well as performing a simple algorithm or applying a formula. That is, in mathematics a one-step, well-defined, and straight algorithmic procedure should be...
M-DOK2
Skill/Concept includes the engagement of some mental processing beyond a habitual response. A Level 2 assessment item requires students to make some decisions as to how to approach the problem or activity, whereas Level 1 requires students to demonstrate a...
Allowable Item Types
- Multi-Select, multiple correct response
- Matching Tables
- Multiple Choice, single correct response
- Graphing
Allowable Stimulus Materials
functions defined by words, equations, tables, sets of ordered pairs, graphs, and sequences
Key/Construct Relevant Vocabulary
domain, range, function, input, output, sequence, relation, ordered pair(s)
Allowable Tools
Calculator (varies by task model)
Target-Specific Attributes
None
Accessibility
Item writers should consider the following Language and Visual Element/Design guidelines [1] when developing items. Language Key Considerations: Use simple, clear, and easy-to-understand language needed to assess the construct or aid in the understanding of the...
Development Notes
Some items aligned to this target will be assessed in Claim 3 and Claim 4 and may require students to explain and/or justify why a graph is or is not a function (e.g., explain...
Task Models
Task Model 1b
Item Types
Multi-Select, multiple correct responseDepth of Knowledge
M-DOK1Standards
IF-1
Target Evidence Statement
The student understands that a function from one set (the domain) to another set (the range) assigns to each element of the domain exactly one element of the range (e.g., distinguish between functions and non-functions).
Allowable Tools
Calculator
Task Description
Prompt Features: Distinguish between functions and non-functions based on recognizing that each element of the domain maps to exactly one element of the range. Stimulus Guidelines: The student is prompted to select which of a...
Stimulus
The student is presented with a set of equations representing a variety of functions and non-functions. Equations may be linear, quadratic, polynomials, or absolute value. Students may graph or perform algebraic manipulations to check....
Example 1
Example Stem: The equation of any line in the coordinate plane can be written in the form Ax + By = C where A, B, and C are real numbers. Select all of the equations below that define y as a function of x.
A. 3x – 4y = ─2
B. ─9x + 0y = 78
C. 0x + 56y = ─11
D. ─12x ─ 85y = 0
Rubric: (1 point) The student correctly selects all options that represent y as a function of x (e.g., A, C, D).