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Grade 11 - Claim 1 - Target F

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Mathematics

Target F

Perform arithmetic operations on polynomials

Sample Item

Grade 11

Test

Claim 1

Concepts and Procedures

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

Grade

Grade 11

Content Domain

Algebra

Standards

APR-1

Standards

  • APR-1

    Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

Clarifications

Tasks for this target will require students to add, subtract, and multiply polynomials.

Range Achievement Level Descriptors

Evidence Required

  • 1

    The student adds or subtracts polynomials.

  • 2

    The student multiplies polynomials.

Item Guidelines

Depth of Knowledge

  • 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
  • Multiple Choice, single correct response

Allowable Stimulus Materials

Two or more polynomials

Key/Construct Relevant Vocabulary

terms, factors, coefficients, monomials, binomials, trinomials, polynomials, exponents, expressions, distribute, distributive property, sum, difference, product, like terms

Allowable Tools

None

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

None

Task Models

Task Model 1a

  • Item Types

    Equation/Numeric
  • Depth of Knowledge

    M-DOK2
  • Standards

    APR-1

Target Evidence Statement

  • The student adds or subtracts polynomials.

  • Allowable Tools

    None

Task Description

Prompt Features: The student is prompted to select or enter the sum or difference of two or more polynomials. Stimulus Guidelines: Item difficulty can be adjusted via these example methods, but are not limited to...

Stimulus

The student is presented with a polynomial expression and is required to add and/or subtract polynomials in order to write it in another form.

Example 1

Example Stem: Enter an expression that is equivalent to

(4x25x+6)+(9x22x)(11x3)\left( 4x^{2} – 5x + 6 \right) + \left( 9x^{2} – 2x \right) – (11x – 3), combining all like terms.

Rubric:

(1 point) The student enters a correct expression (e.g., 13x218x+913x^{2} – 18x + 9).