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

 


 

Mathematics 
 Standard 8.Understands and applies basic and advanced properties of functions and algebra
  
TopicFunctions
   Level IV (Grade 9-12)
  Benchmark 8.Understands the general properties and characteristics of many types of functions (e.g., direct and inverse variation, general polynomial, radical, step, exponential, logarithmic, sinusoidal)
   Vocabulary terms
A.  function
B.  direct variation
C.  inverse variation
D.  polynomial function
E.  radical function
F.  step function
G.  exponential function
H.  logarithmic function
I.  sinusoidal function
J.  linear function
K.  quadratic function
L.  nonlinear function
M.  function composition
N.  recursive function
O.  circular function
P.  power function
  Knowledge/skill statements
  1. Understands the concept of logarithmic functions    HS.F-IF.7 
  2. Understands the concept of exponential functions    HS.F-IF.7; HS.F-IF.8; HS.F-LE.1; HS.F-LE.2; HS.F-LE.3 
  3. Understands the concept of polynomial functions    HS.F-IF.7; HS.F-LE.3 
  4. Understands the concept of direct variation functions     HS.F-IF.7  
  5. Understands the concept of radical functions    HS.F-IF.7 
  6. Understands the concept of inverse variation functions   
  7. Understands the concept of sinusoidal functions    HS.F-IF.7 
  8. Understands the concept of step functions     HS.F-IF.7 
  9. Understands the concept of linear functions    HS.F-IF.7; HS.F-LE.1; HS.F-LE.2; HS.F-LE.3 
  10. Understands the concept of quadratic functions    HS.F-IF.7 
  11. Understands the concept of families of functions     HS.F-LE.3 
  12. Understands the concept of absolute value functions     HS.F-IF.7 


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

Citation Log: BD(MI,296;​B2E,13;​B3I,12,13;​CE,190;​PE,39,40;​S3E,52,*)
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