Algebra 2 Online!
Henrico County Public Schools, Virginia
Expressions and Operations

Equations and Inequalities

Functions

Statistics

SOL Review Materials
AII.7d
The student will investigate and analyze functions algebraically and graphically. Key concepts include
d)   intervals in which a function is increasing or decreasing;
Graphing calculators will be used as a tool to assist in investigation of functions.
Essential Knowledge and Skills 
  • Given the graph of a function, identify intervals on which the function is increasing and decreasing.
Essential Understandings
  • Functions may be used to model real-world situations.
  • A function can be described on an interval as increasing, decreasing, or constant.
Vertical Articulation
  1. SOL A.7 - investigate/analyze function (linear/ quadratic) families and characteristics (algebraically/graphically) ‐ a) determine relation is function; b) domain/range; c) zeros; d) x‐ and y-intercepts; e) find values of function for elements in domain; f) make connect between/among multiple representation of functions (concrete/verbal/numeric/graphic/algebraic)
  2. SOL AFDA.1 - investigate/analyze function (linear/quadratic exponential/log) families/ characteristics: a) continuity; b) local/abs max/min; c) domain/range; d) zeros; e) intercepts; f) intervals of increasing/ decreasing; g) end behaviors; h) asymptotes
  3. SOL AFDA.4 - transfer between/analyze multiple representations of functions (algebraic formulas/ graphs/ tables/words)
Instructional Materials
  1. VDOE ESS Lesson: Functions: Domain, Range, End Behavior, Increasing or Decreasing  (PDF) - Finding domain and range; determining whether a function is increasing or decreasing (Word)
  2. Notes: Increasing and Decreasing Intervals (ppt)
  3. Stations: Function Characteristic Card Sort (doc)
Real World Lessons
Practice
  1. VDOE ESS: Where to Begin and End - Increasing, Decreasing, and End Behavior (pdf)
  2. VDOE ESS: Domain and Range (pdf)
  3. Worksheet: Increasing and Decreasing Intervals Practice (doc)
  4. Worksheet: Function Characteristics Review (doc)
Self-Assessments
  1. SOL Mini-Quiz: AII.7d - Increasing and Decreasing Intervals of Functions
Skills
  1. JMU Pivotal Question: Analyzing Functions (doc)
Videos
Explore Learning
Websites
Common Core Standards
A-SSE.3a
A-APR.3
A-CED.1
F-IF.4
F-IF.7a
F-IF.7c
F-IF.7d
F-IF.7e
F-IF.8a
F-IF.8b
F-IF.9
F-BF.1a
F-BF.1b
F-BF.1c
F-BF.3
F-BF.4
F-BF.5
F-LE.3
F-LE.4
F-LE.5