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.
Algebra 1 - Fluency Recommendations
Fluency in adding, subtracting, and multiplying polynomials supports students throughout their work in algebra, as well as in their symbolic work with functions. Manipulation can be more mindful when it is fluent.
Subject Area: Mathematics
Domain-Subdomain: Algebra: Arithmetic with Polynomials & Rational Expressions
Cluster: Level 1: Recall
Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Test Item Specifications
- Assessment Limits :
Items set in a real-world context should not result in a nonreal
answer if the polynomial is used to solve for the unknown.
In items that require addition and subtraction, polynomials are
limited to monomials, binomials, and trinomials. The simplified
polynomial should contain no more than six terms.
Items requiring multiplication of polynomials are limited to a product
of: two monomials, a monomial and a binomial, a monomial and a
trinomial, two binomials, and a binomial and a trinomial.
- Calculator :
- Clarification :
Students will relate the addition, subtraction, and multiplication of
integers to the addition, subtraction, and multiplication of
polynomials with integral coefficients through application of the
Students will apply their understanding of closure to adding,
subtracting, and multiplying polynomials with integral coefficients.
Students will add, subtract, and multiply polynomials with integral
- Stimulus Attributes :
Items may be set in a mathematical or real-world context.
Items may use function notation.
- Response Attributes :
Items may require the student to write the answer in standard form.
Items may require the student to recognize equivalent expressions.
Items may require the student to rewrite expressions with negative
exponents, but items must not require the student to rewrite rational
expression as seen in the standard MAFS.912.A-APR.4.7.
Sample Test Items (1)
- Test Item #: Sample Item 1
Roxanne wants to test the idea that polynomials are closed under addition. Her work and explanation are shown.
Drag an expression and phrases to the boxes to complete the statement.
Add to ____________________. The sum is closed because ______________ are ________________ and by definition the sum is a polynomial.
- Difficulty: N/A
- Type: GRID: Graphic Response Item Display