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List of Benchmarks for Mathematics 
 Standard 5.Understands and applies basic and advanced properties of the concepts of geometry
Topics1. Lines and angles; 2. Proof and empirical verification; 3. Shapes and figures
   Level IV (Grade 9-12)
  Benchmark 5.Uses geometric constructions (e.g., the parallel to a line through a given point not on the line, line segment congruent to a given line segment) to complete simple proofs, to model, and to solve mathematical and real-world problems
   Vocabulary terms
A.  geometric construction as a solution strategy
B.  proof
C.  model
D.  problem solving
E.  congruence
F.  parallel
G.  line segment
  Knowledge/skill statements
  1. Constructs a line segment congruent to a line segment    HS.G-CO.12 
  2. Understands the basic concept of a geometric construction   
  3. Constructs a line through a given point not on the line    HS.G-CO.12 
  4. Uses a line segment congruent to given line segment in proofs   
  5. Uses geometric constructions to complete simple proofs    HS.G-SRT.5 
  6. Determines whether a problem can be modeled by geometric constructions    HS.G-MG.1 
  7. Determines whether a problem can be solved by using geometric constructions   

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

Citation Log: BP(MI,308;​B2E,10,11;​CE,192;​PE,25;​S3I,55,*)
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