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Grade 6 - Claim 1 - Target E

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Mathematics

Target E

Apply and extend previous understandings of arithmetic to algebraic expressions

Sample Item

Grade 6

Test

Claim 1

Concepts and Procedures

Students can explain and apply mathematical concepts and carry out mathematical procedures with precision and fluency.

Grade

Grade 6

Content Domain

Expressions & Equations

Standards

EE-1EE-2EE-2aEE-2bEE-2cEE-3EE-4
Major

Standards

  • EE-1

    Write and evaluate numerical expressions involving whole-number exponents.

  • EE-2

    Write, read, and evaluate expressions in which letters stand for numbers.

  • EE-2a

    Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation "Subtract y from 5" as 5 – y.

  • EE-2b

    Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2(8 +...

  • EE-2c

    Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there...

  • EE-3

    Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property...

  • EE-4

    Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and...

Clarifications

Tasks for this target will ask students to write and evaluate expressions (numerical expressions with whole-number exponents; algebraic expressions; and expressions arising from formulas in real-world problems). Other tasks will ask students to identify...

Range Achievement Level Descriptors

Evidence Required

  • 1

    The student evaluates numerical expressions involving whole-number exponents.

  • 2

    The student writes numerical expressions involving whole-number exponents, algebraic expressions, and expressions from formulas in real-world problems.

  • 3

    The student uses mathematical terms to describe expressions.

  • 4

    The student evaluates algebraic expressions and expressions from formulas in real-world problems.

  • 5

    The student creates equivalent expressions by applying properties of operations.

  • 6

    The student identifies when expressions are equivalent by utilizing properties of operations.

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

  • Equation/Numeric
  • Multi-Select, multiple correct response
  • Drag and Drop

Allowable Stimulus Materials

None

Key/Construct Relevant Vocabulary

sum, product, quotient, difference, negative, term, factor, coefficient, expression, algebraic expression, numerical expression, order of operations, distributive property, associative property, commutative property

Allowable Tools

Calculator

Target-Specific Attributes

Only whole-number exponents can be used in items that involve the use of exponents.

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

None

Task Models

Task Model 1

  • Item Types

    Equation/Numeric

  • Depth of Knowledge

    M-DOK1

  • Standards

    EE-1

Target Evidence Statement

  • The student evaluates numerical expressions involving whole-number exponents.

  • Allowable Tools

    Calculator

Task Description

Prompt Features: The student is prompted to evaluate numerical expressions involving exponents. Stimulus Guidelines: Expressions contain at least four numbers and one multiplication/division symbol. Parentheses may be utilized to change the order of operations. Expression should not be...

Stimulus

The student is presented with a numerical expression with exponents.

Example 1

Example Stem: Enter the value of 333^{3} ● 727^{2} – 88 ÷ 44.

Rubric: (1 point) Student enters the correct value for the expression (e.g., 1321).