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

Equations and Inequalities

Functions

Statistics

SOL Review Materials
AII.7a
The student will investigate and analyze functions algebraically and graphically. Key concepts include
a)   domain and range, including limited and discontinuous domains and ranges;
Graphing calculators will be used as a tool to assist in investigation of functions.
Essential Knowledge and Skills 
  • Identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically.
  • Describe restricted/discontinuous domains and ranges.
Essential Understandings
  • Functions may be used to model real-world situations.
  • The domain and range of a function may be restricted algebraically or by the real-world situation modeled by the function.
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. VDOE ESS Lesson: Rational Functions: Intercepts, Asymptotes, and Discontinuity  (PDF) - Exploring asymptotes and discontinuity (Word)
  3. Notes: Domain and Range (ppt)
  4. Activity: Desmos - Exploring Domain and Range (doc)
  5. 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: Domain and Range Practice (doc)
  4. Worksheet: Function Characteristics Review (doc)
Self-Assessments
  1. SOL Mini-Quiz: AII.7a - Domain and Range of Functions
Skills
Videos
Explore Learning
  1. Introduction to Functions - Determine if a relation is a function using the mapping diagram, ordered pairs, or the graph of the relation. Drag arrows from the domain to the range, type in ordered pairs, or drag points to the graph to add inputs and outputs to the relation.
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