Grade 6 - Claim 1 - Target F
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Target F
Reason about and solve one-variable equations and inequalities
Sample Item
Grade 6Test
Claim 1
Concepts and Procedures
Standards
EE-5
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether...
EE-6
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any...
EE-7
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
EE-8
Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x...
Clarifications
Tasks for this target will ask students to solve and write one-variable equations and inequalities, some of which provide substitution of given numbers as an entry point to a solution. Claim 3 tasks will tap...
Range Achievement Level Descriptors
Evidence Required
1
The student uses substitution in one-variable equations and inequalities.
2
The student writes one-variable equations and inequalities and solves one-variable equations in real-world and mathematical problems.
3
The student represents solutions of inequalities in real-world and mathematical problems on a number line.
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
- Equation/Numeric (2 response boxes)
- Equation/Numeric
- Multiple Choice, single correct response
- Drag and Drop
Allowable Stimulus Materials
None
Key/Construct Relevant Vocabulary
variable, equation, inequality, solution, solution set
Allowable Tools
None
Target-Specific Attributes
p, q, and x must all represent nonnegative rational numbers when solving equations of the form x + p = q and px = q
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
Claim 3 tasks will tap into a student’s ability to explain inequalities as a set of infinitely many solutions (some connecting the content of this target to 6.NS Target C).
Task Models
Task Model 1a
Item Types
Multi-Select, multiple correct responseDepth of Knowledge
M-DOK1Standards
EE-5
Target Evidence Statement
The student uses substitution in one-variable equations and inequalities.
Allowable Tools
None
Task Description
Prompt Features: The student is prompted to identify equations that have a given solution. Stimulus Guidelines: The student is presented with a solution and one equation per answer choice. Equations are one-step equations in the form...
Example 1
Example Stem: Select all equations that have x = 3 as a solution.
A. x + 7 = 10
B. 3 + x = 3
C. x ● 3 = 1
D. 4 ● x = 12
Answer Choices: Answer choices will be equations in the form x + p = q or px = q, in which p and q must represent nonnegative rational numbers. Distractors will include confusing addition, subtraction, multiplication, or division, computation errors, and/or incorrect substitution. At least two equations must be correct.
Rubric: (1 point) Student selects all the correct equations (e.g., A and D).