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List of Benchmarks for Mathematics 
 Standard 3.Uses basic and advanced procedures while performing the processes of computation
Topics1. Addition/subtraction; 2. Multiplication/division
   Level III (Grade 6-8)
  Benchmark 7.Understands the properties of operations with rational numbers (e.g., distributive property, commutative and associative properties of addition and multiplication, inverse properties, identity properties)
   Vocabulary terms
A.  operation property
B.  operation
C.  rational number
D.  distributive property of rational numbers
E.  commutative property of rational numbers
F.  associative property of rational numbers
G.  addition
H.  multiplication
I.  inverse property of rational numbers
J.  identity property of rational numbers
  Knowledge/skill statements
  1. Understands the associative property of addition  A   
  2. Understands the commutative property of multiplication  A   
  3. Understands the commutative property of addition  A   
  4. Understands the concept of multiplicative inverse   
  5. Understands the distributive property of multiplication    6.NS.4; 7.NS.2 
  6. Understands the associative property of multiplication  A   
  7. Understands the concept of additive inverse   
  8. Understands how the properties of operations relate to rational numbers    7.NS.2; 7.EE.3  
  9. Understands the concept of additive identity    
  10. Understands the concept of multiplicative identity   

 A  = Assessment items available

 CC  = Common Core standards available (Common Core ID indicated)

Citation Log: BD(ME,214;​B2E,9,11;​CE,184,186;​PI,12,13;​S2E,54;​T2E,*)
Citation reference
BD = benchmark, declarative
BP = benchmark, procedural
BC = benchmark, contextual

1st letter/number of each code in parentheses:
*   McREL Report
2   Project 2061: Benchmarks for Science Literacy
AC   ACT, College Readiness Standards
AD   American Diploma Project
B1   International Baccalaureate: Math, Primary
B2   International Baccalaureate: Math, Middle
B3   International Baccalaureate: Math, High
C   CBE: Standards for Excellence
C3   CBE: Standards for Excellence, end of grade 3
C5   CBE: Standards for Excellence, end of grade 5
CB   College Board: College Board Standards for College Success: Mathematics and Statistics
CO   CDE: Building Blocks to Colorado’s Content Standards
D   Department of Defense: Prekindergarten Mathematics
HS   Head Start: Child Outcomes Framework
M   NCTM: Principles & Standards for School Mathematics
MA   MDE (Massachusetts): Early Childhood Standards
N4   NAEP: Released items for grade 4 (2003)
N8   NAEP: Released items for grade 8 (2003)
P   NAEP: Mathematics Assessment Framework
PS   McGraw-Hill: Pre-Kindergarten Standards: Guidelines for Teaching and Learning
S1   New Standards: Elementary School
S2   New Standards: Middle School
S3   New Standards: High School
T   TEA: Texas Prekindergarten Curriculum Guidelines
T1   TIMSS: Population 1 assessed grade 4 (released 1998)
T2   TIMSS: Population 2 assessed grade 8 (released 1998)
T3   TIMSS: Final Year assessed grade 12 (released 1998)
U   Understanding University Success: A Report from Standards for Success
UK   United Kingdom: Desirable Outcomes for Children’s Learning

2nd letter code :
E = Explicitly stated in document
I = Implicit in document

Page number of the cited document