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Mathematics 
 Standard 5.Understands and applies basic and advanced properties of the concepts of geometry
  
Topics1. Analytic geometry; 2. Motion Geometry/Transformations; 3. Shapes and figures; 4. Lines and angles
   Level IV (Grade 9-12)
  Benchmark 3.Uses synthetic (i.e., pictorial) representations and analytic (i.e., coordinate) methods to solve problems involving symmetry and transformations of figures (e.g., problems involving distance, midpoint, and slope; determination of symmetry with respect to a point or line)
   Vocabulary terms
A.  synthetic representation
B.  pictorial representation
C.  analytic method
D.  coordinate mapping
E.  problem solving
F.  symmetry
G.  transformation
H.  representation of figures
I.  distance between points
J.  midpoint
K.  slope
L.  isometry
  Knowledge/skill statements
  1. Uses synthetic geometric models to solve slope problems   
  2. Uses synthetic geometric models to solve line symmetry problems  A   
  3. Uses synthetic geometric models to solve point symmetry problems   
  4. Uses synthetic geometric models to solve distance problems   
  5. Uses synthetic geometric models to solve midpoint problems   
  6. Understands the concept of a synthetic model (i.e., a pictorial representation)   
  7. Uses analytic methods to solve slope problems   
  8. Uses analytic methods to solve line symmetry problems   
  9. Uses analytic methods to solve point symmetry problems   
  10. Uses analytic methods to solve distance problems   
  11. Uses analytic methods to solve midpoint problems  A   


 A  = Assessment items available

Citation Log: BC(ME,308;​B2E,10,11;​CE,192;​PE,24,27;​S3I,51,*)
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

Number:
Page number of the cited document