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

Equations and Inequalities

Functions

Statistics

SOL Review Materials
AII.7e
The student will investigate and analyze functions algebraically and graphically. Key concepts include
e)   asymptotes;
Graphing calculators will be used as a tool to assist in investigation of functions.
Essential Knowledge and Skills 
  • Find the equations of vertical and horizontal asymptotes of functions.
Essential Understandings
  • Functions may be used to model real-world situations.
  • Asymptotes may describe both local and global behavior of functions.
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: Rational Functions: Intercepts, Asymptotes, a  (PDF) - Exploring asymptotes and discontinuity (Word)
  2. Investigation: Asymptotic Functions (doc)
  3. Graphing Rational Notes Outline (doc)
  4. Stations: Function Characteristic Card Sort (doc)
Real World Lessons
Practice
  1. VDOE ESS: Investigating Functions (pdf)
  2. Worksheet: Function Characteristics Review (doc)
Self-Assessments
  1. SOL Mini-Quiz: AII.7e - Finding Asymptotes of Functions
Skills
  1. JMU Pivotal Question: Asymptotes (doc)
  2. 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