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Mathematics
 Standard 8.Understands and applies basic and advanced properties of functions and algebra
  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)
    Knowledge/skill statement 2
Understands the concept of exponential functions
    
Common Core Reference:
    HS.F-IF.7; HS.F-IF.8; HS.F-LE.1; HS.F-LE.2; HS.F-LE.3
HS.F-IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

e. Graph exponential and  logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

HS.F-IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

b. Use the properties of exponents to interpret expressions for exponential functions . For example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify them as representing exponential growth or decay.

HS.F-LE.1 Distinguish between situations that can be modeled with linear functions and with exponential functions.

* Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

HS.F-LE.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

HS.F-LE.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function

    
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