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

Equations and Inequalities

Functions

Statistics

SOL Review Materials
AII.7h
The student will investigate and analyze functions algebraically and graphically. Key concepts include
h)   composition of multiple functions.
Graphing calculators will be used as a tool to assist in investigation of functions.
Essential Knowledge and Skills 
  • Find the composition of two functions.
  • Use composition of functions to verify two functions are inverses.
Essential Understandings
  • Functions can be combined using composition 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: Composition of Functions  (PDF) - Exploring composition of functions (Word)
Real World Lessons
Practice
  1. VDOE ESS: Compositions of Functions (pdf)
Self-Assessments
  1. SOL Mini-Quiz: AII.7h - Function Composition
Skills
  1. JMU Pivotal Question: Composition of Functions (doc)
Videos
Explore Learning
  1. Function Machines 1 (Functions and Tables) - Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph.
  2. Function Machines 2 (Functions, Tables, and Graphs) - Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph.
  3. Function Machines 3 (Functions and Problem Solving) - Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph.
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