Function Games

Function Games
To build a comprehensive series of online games/worksheets for Functions, we structure the curriculum to move from visual identification to abstract algebraic manipulation.

Relations and Functions

Foundations: What is a Function?
In mathematics, a function is a specific type of relationship between two sets of numbers. It is a rule that takes an input and produces exactly one output. We can look at how functions work using three different perspectives.
The Input-Output Machine: Visualize a function as a “Processing Machine.” You drop a value (x) into the machine. Inside the machine, the rule (f) happens and the output f(x) which is a single, transformed value that pops out.
Mapping Diagrams: The Domain is the set of all possible values you are allowed to put into the function (the x values). The Range is the set of all possible values that can come out of the function (the y values). In a function, one input cannot map to two different outputs.
The Vertical Line Test: You can tell if a graph represents a function by using the Vertical Line Test.

Function Notation
When you see f(x) = 2x + 3, it is read as “f of x equals 2x plus 3."
f: The name of the function.
x: The input (the placeholder).
2x + 3: The rule or “recipe” to follow.

Linear Functions
Slope-Intercept Form: Mastering f(x) = mx + b.
Slope & Intercept: Identify the slope and the y-intercept from the given function.
Write the Linear Function: Given a line write the linear function.
Function Builder: Identify the linear function given a table of values.
Linear Function Applications: Solving Linear Function word problems.
Solve Linear Functions: Solving for x when given f(x) = c where f(x) is a linear function.
Slope between Two Points: Find the slope between two points on the line.
Write Equation given Point & Slope
Write Equation given Two-Points
Identify Intercepts: Solve for the x-intercept and y-intercept of a line given in standard form.
Parallel & Perpendicular Lines: Determining the relationship between two lines based on their slopes.

Function Evaluation
Evaluating Functions: Solving for f(a) when given an algebraic rule.

Families of Functions (Parent Functions)
Introduce the “shapes” of different types of functions.
Parent Functions

Transformations
How the graph of a parent function, y = f(x), is shifted, stretched, compressed, or reflected based on specific changes to its equation.
Function Transformations

Function Operations
Arithmetic of Functions.
Add & Subtract Functions (Evaluate) (given input values)
Add & Subtract Functions (not given input values)
Multiply Functions (Evaluate) (given input values)
Multiply Functions (not given input values)
Divide Functions (Evaluate) (given input values)
Divide Functions (not given input values)
Composition of Functions: The “nested” function concept, f(g(x)).
Composite Functions (Evaluate) (given input values)
Composite Functions (not given input values)

Advanced Characteristics
Domains of Functions (Include Rational & Radical Functions)
Domain of a Function
Classify Functions: Linear, Non-linear, Quadratic, Exponential.
Classify Functions
Solving for x when given f(x) = c where f(x) is a quadratic function.
Solve Quadratic Functions
Solving for x when given f(x) = c where f(x) is a radical function.
Solve Radical Functions
Inverses: Solving for f-1(x) and understanding that it reflects across the line y = x.
Inverse of a Function

Systems of Linear Equations
Solve Systems of Equations (by substitution)
Solve Systems of Equations (by elimination)

Function Derivatives & Integrals
Calculus Games

Function Games

Function Table

Write a rule for a function table.

All About Functions

Jeopardy Game

Function Machine

Investigate the relationship between input and output values in a function

Function Game

Advanced game. Rules can use mathematical concepts, including: squares, powers, bases, factors, divisors, modulo, prime numbers, and piecewise functions.

Check out our most popular games!
Fraction Concoction	Fact Family Game	Number Bond Garden
Online Addition Subtraction Game	Penguin Solitaire	Sawayama Solitaire
Ark Solitaire	Eldritch Invasion	Shenzhen Solitaire

Check out more Solitaire games here.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.