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Mathematics Curriculum Supplement
Algebra I (A-APR.A.1)
Algebra I
Mathematics
Highly-Leveraged Standard1
A-APR.A.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.
Student Learning Targets:
Students will be able to:
 identify like terms and combine linear and quadratic polynomials with addition and subtraction.
 use the distributive property to multiply a constant by a linear or quadratic polynomial.
 multiply two binomials using the distributive property.
 square a binomial and recognize the pattern that produces the trinomial.
 understand the concept of closure.
 understand that polynomials are closed under the operations of addition, subtraction, and multiplication.
Performance Level Descriptors
Standard
Minimally Proficient
Partially Proficient
Proficient
Highly Proficient
The Minimally
The Partially Proficient
The Proficient student
The Highly Proficient
Proficient student
student
student
Algebra
A-APR.A
Identifies polynomial
Adds, subtracts, and
Understands that
Creates equivalent
[1]
expressions.
multiplies polynomials.
polynomials are closed
polynomial expressions
under the operations of
using the fact that
addition, subtraction,
polynomials are closed
and multiplication.
under the four
operations.
1
Highly-Leveraged Standards are the most essential for students to learn because they have endurance, leverage and essentiality.
This definition for highly-leveraged standards was adapted from the website of Millis Public Schools, K-12, in Massachusetts, USA.
http://www.millis.k12.ma.us/services/curriculum_assessment/brochures
Specifically for mathematics, the Highly-Leveraged Standards are the Major Content/Clusters as defined by the AZCCRS Grade
Level Focus documents. They should encompass a range of at least 65%-75% for Major Content/Clusters and a range of 25%-35%
for Supporting Cluster Instruction. See the Grade Level Focus documents at:
https://cms.azed.gov/home/GetDocumentFile?id=57069fbeaadebe0bccd0a8bb
TUSD Department of Curriculum and Instruction
Curriculum 3.0
Revised 4/29/2017 8:21 PM
Page 1