Standards Database Logo
Home | Browse | Search | Purpose | History | Process | Acknowledgment| Reference



 Standard 5.Understands and applies basic and advanced properties of the concepts of geometry
Topics1. Trigonometry; 2. Ratio/proportion/percent
   Level IV (Grade 9-12)
  Benchmark 8.Uses trigonometric ratio methods to solve mathematical and real-world problems (e.g., determination of the angle of depression between two markers on a contour map with different elevations)
   Vocabulary terms
A.  trigonometry
B.  trigonometric ratio
C.  ratio
D.  problem solving
E.  angle of depression
  Knowledge/skill statements
  1. Understands the concept of tangent ratio   
  2. Understands the concept of cosine ratio   
  3. Understands the concept of sine ratio   
  4. Determines whether a problem can be solved by using tangent ratios   
  5. Determines whether a problem can be solved by using cosine ratios   
  6. Determines whether a problem can be solved by using sine ratios   
  7. Uses trigonometric ratios to solve problems of angle of depression on a contour map   
  8. Understands the concept of angle of depression   
McREL Activity(s)
   Elevation at its Peak

Citation Log: BD(ME,313;​CE,192;​PE,20;​S3E,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

Page number of the cited document