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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 II (Grade 3-5)
  Benchmark 7.Understands the properties of and the relationships among addition, subtraction, multiplication, and division (e.g., reversing the order of two addends does not change the sum; division is the inverse of multiplication)
   Vocabulary terms
A.  operation
B.  operation property
C.  addition property
D.  subtraction property
E.  multiplication property
F.  division property
G.  commutative property
H.  inverse relationship of multiplication and division
  Knowledge/skill statements
  1. Understands that multiplication and division are inverse operations  A   P   3.OA.6; 4.NBT.6 
  2. Understands multiplication as repeated addition  A   P   3.OA.1; 3.MD.7; 4.NBT.5 
  3. Understands division as repeated subtraction   P   3.OA.2; 4.NBT.6 
  4. Understands effects of reversing order of things added    1.NBT.4; 2.NBT.5; 2.NBT.7; 2.NBT.9 
  5. Understands effects of reversing order of things subtracted   P   1.NBT.4; 1.NBT.6; 2.NBT.5; 2.NBT.7; 2.NBT.9 
  6. Understands effects of reversing order of things multiplied    4.NBT.5 
  7. Understands effects of reversing order of things divided     4.NBT.6 

 A  = Assessment items available

 P  = Performance expectation(s) available based on source documents

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

Citation Log: BD(ME,148;​B1E,9;​CE,183,184;​PE,13;​S1E,60,62;​T1E,*)
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