Illustrative Mathematics
Invertible or Not?
Two for one—create an invertible and non-invertible function from the same data. The task presents a function table with missing outputs for the class to use to create two functions. One of the functions should have an inverse while the...
Curated OER
Parts of a Computer
Students identify parts of a computer. They categorize parts of a computer by function: input, output, process, and storage. They explain how the parts work together and simulate the process a computer uses to execute a command.
Curated OER
What's My Function?
Fifth graders utilize input/output tables to help them solve algebraic equations. They incorporate patterns, number sequences and relations to represent and analyze mathematical problems and number relationships using algebraic symbols.
Curated OER
Function Machine
Second graders decipher a pattern using input and output. In this functions activity, 2nd graders use input and output numbers to find a pattern involving addition and subtraction. Students use the pattern they discovered to help solve...
Curated OER
A Sum of Functions
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
Houghton Mifflin Harcourt
Write Function Rules Using Two Variables
Fabulous functions are the focus of this handout. Middle school math pupils complete input/output tables and answer questions about the values. Each of the three equations contains two variables. This simple worksheet would be useful as...
Curated OER
Function Tables
In this function table activity, 5th graders solve and complete 10 different function tables shown. First, they determining the ordered pairs in each table. Then, students use number patterns to complete each table filling in the output...
West Contra Costa Unified School District
Evaluating Functions
Functions as inputs for other functions? After reviewing function notation and how to input values to evaluate functions, class members input functions into functions, essentially determining the composition of functions.
EngageNY
Analyzing a Data Set
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work to...
Shodor Education Foundation
Graph Sketcher
Sketch graphs with the Graph Sketcher. Scholars graph functions on a coordinate plane. An interactive makes it as easy as inputting the function and clicking a button.
EngageNY
The Height and Co-Height Functions of a Ferris Wheel
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel.
Yummy Math
Diapers
Most of your students probably think a car or college is the first big expense their parents could help them with, but as it turns out these kids have been costing their parents for their whole lives. Have they ever considered how much...
Curated OER
Algebra- Cell Phone Plans
High schoolers analyze graphs to compare cell phone plans. In this algebra lesson, students work together to analyze phone plans and report the best phone plan. High schoolers develop tables and graphs.
Virginia Department of Education
Functions 1
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
EngageNY
Solution Sets to Equations with Two Variables
Can an equation have an infinite number of solutions? Allow your class to discover the relationship between the input and output variables in a two-variable equation. Class members explore the concept through tables and graphs and...
Curated OER
Function Machines
Sixth graders complete a function table and determine a rule for the use of one. They graph different functons from the tables. The analogy of a machine is used as an example for teaching students about functions.
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
Alabama Learning Exchange
Building Functions: Composition of Functions
Hammer away at building different types of functions. An engaging lesson builds on learners' knowledge of domain and range to create an understanding of composite functions. Young scholars learn to write composite functions from various...
Curated OER
Guess My Rule
Students drill on math patterns, functions and Algebra. They construct and use tables to solve problems associated with mathematical relationships and identify a rule/equation. Students comprehend input/output to determine the...
Curated OER
Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
Curated OER
Parts of a Computer
Students, after identifying the parts of a computer, and categorizing the parts by functions (input, output, process, and storage), explore how all the parts of a computer work together. They compare/contrast the differences between...
Curated OER
It's Cool to Know the Rule in School!
Students work with partners taking turns using the teacher-made input/output boxes. Two students will be the tellers, while the other two are the customers. The tellers stand behind the box, and know the rule. When the customers put in...
Curated OER
Monster Frog Function Machine
Elementary schoolers use a function machine in order to help them look at the relationship between input and output, and to look at the rule for the change. The machine is actually a cardboard box, and it serves quite well for the...
Curated OER
Latch Circuits
In this circuit worksheet students complete a series of short answer questions using circuit diagrams to show the input and output of different switches.
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