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Mathematics
 Standard 5.Understands and applies basic and advanced properties of the concepts of geometry
  Level IV [Grade 9-12]
   Benchmark 6
Uses the properties of vectors and basic operations on vectors (e.g., vector addition, scalar multiplication) to solve problems (e.g., involving velocity)
    Knowledge/skill statement 4
Adds vectors
    
Common Core Reference:
    HS.N-VM.4
HS.N-VM.4 (+) Add and subtract vectors.

    a. Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.

    b. Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.

     c. Understand vector subtraction v – w as v + (–w), where –w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.

    
Citation reference
BD = benchmark, declarative
BP = benchmark, procedural
BC = benchmark, contextual
K = Knowledge
S = Skill
P = Performance

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

Number:
Page number of the cited document