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

Equations and Inequalities

Functions

Statistics

SOL Review Materials
AII.7c
The student will investigate and analyze functions algebraically and graphically. Key concepts include
c)   x- and y-intercepts;
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.
Essential Understandings
  • Functions may be used to model real-world situations.
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, and Discontinuity  (PDF) - Exploring asymptotes and discontinuity (Word)
  2. Stations: Function Characteristic Card Sort (doc)
Real World Lessons
Practice
  1. 7ce - VDOE ESS: Investigating Functions (pdf)
  2. Worksheet: Finding Intercepts Practice (doc)
  3. Worksheet: Function Characteristics Review (doc)
Self-Assessments
  1. SOL Mini-Quiz: AII.7c - x- and y-Intercepts of a Functions
Skills
  1. Mathematics Assessment Project: A17:Cubic Graph - Apprentice - In this task, you will look at the properties of a cubic equation.
  2. JMU Pivotal Question: Intercepts (doc)
Videos
Explore Learning
  1. Polynomials and Linear Factors - Create a polynomial as a product of linear factors. Vary the values in the linear factors to see how their connection to the roots of the function.
    Using Tables, Rules and Graphs - Compare the graph of a linear function to its rule and to a table of its values. Change the function by dragging two points on the line. Examine how the rule and table change.
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