Algebra 1 Online!
Henrico County Public Schools, Virginia
 Home Pacing - Middle School Pacing - High School SOL Tracker Algebra 1 Standards Virginia Department of Education Return to HCPS Math Courses
 Expressions and Operations Equations and Inequalities Functions Statistics SOL Review Materials Frequently Asked Questions
A.7e
The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including
e)   finding the values of a function for elements in its domain.
 Essential Knowledge and Skills For each x in the domain of f, find f(x). Represent relations and functions using concrete, verbal, numeric, graphic, and algebraic forms. Given one representation, students will be able to represent the relation in another form. Detect patterns in data and represent arithmetic and geometric patterns algebraically. Essential Understandings The values of f(x) are the ordinates of the points of the graph of f. The object f(x) is the unique object in the range of the function f that is associated with the object x in the domain of f. For each x in the domain of f, x is a member of the input of the function f, f(x) is a member of the output of f, and the ordered pair [x, f(x)] is a member of f. Set builder notation may be used to represent domain and range of a relation.
Vertical Articulation
1. SOL 7.12 - represent relationships with tables, graphs, rules, and words
2. SOL 8.14 - make connections between any two representations (tables, graphs, words, rules)
3. SOL 8.17 - identify domain, range, independent/dependent variable
4. 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
5. SOL AFDA.4 - transfer between/analyze multiple representations of functions (algebraic formulas/ graphs/ tables/words)
6. SOL AII.7 - investigate/analyze functions (algebraically/ graphically) a) domain/range; b) zeros; c) x‐ and y‐intercepts; d) intervals of increasing/decreasing; e) asymptotes; f) end behavior; g) inverse of a function; h) composition of multiple functions
Instructional Materials
1. VDOE ESS Lesson: Square Patios - Functions (PDF) - Connecting different representations of functions (Word)
2. VDOE ESS Lesson: Functions 1 - Functions (PDF) - Investigating relations and functions (Word)
3. VDOE ESS Lesson: Functions 2 - Functions (PDF) - Investigating domain, range, intercepts, and zeros (Word)
4. Notes: Finding Function Values (doc) | Answer Key (pdf)
5. Guided Notes: Function Notation and Evaluating Functions (doc)
6. Activity: Functions Fair/Not Fair (doc)
Real World Lessons
Practice
Self-Assessments
Skills
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
1. Interactive: Function Machine - investigate simple linear functions by trying to guess the algebraic form from inputs and outputs at Shodor.org.
2. Interactive: Function Machine - investigate simple linear functions by trying to guess the algebraic form from inputs and outputs at Shodor.org.
3. Interactive: Vertical Line Test - discovery activity that determines if a graph is a function at Shodor.org.
4. Interactive: Graphs and Functions- view images of graphs at Shodor.org and determine if they represent a function