Illustrative Mathematics
Function Rules
Function machines are a great way to introduce the topic of functions to your class. Here, you will explore the input and output to functions both using numerical and non-numerical data. Learners are encouraged to play with different...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Curated OER
Patterns, Relations, and Functions: Lesson 7: Input/ Output Tables
Fourth graders determine how to complete input/output tables. They express rules for input/output or function tables. They complete a worksheet that it is associated with the lesson.
Curated OER
Interactivate: Introduction to Functions
This interactive website provides a variety of lesson plans according to which standards you are applying and which textbook you use. Introduce functions to your class by having them construct single operation machines and create...
Curated OER
What's My Function?
Students use input / output tables to help them solve algebraic equations. They use patterns and relations to represent and analyze mathematical situations using algebraic symbols.
Curated OER
Patterns, Relations, and Functions: Lesson 3: Numerical Patterns
Fourth graders extend and continue numerical patterns using function or input/output machines. They finish the increasing patterns using input/output tables, and generalize the rules that apply to the pattern. They complete the...
Illustrative Mathematics
Foxes and Rabbits 1
Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...
Pennsylvania Department of Education
What is the Chance?
Fourth and fifth graders make predictions using data. For this analyzing data lesson, pupils use experimental data, frequency tables, and line plots to look for patterns in the data in order to determine chance. You will need to make a...
Illustrative Mathematics
US Garbage, Version 1
An interesting example of a discrete function and how it is applies to the real world. This could easily make a good collaborative lesson with an environmental science class. Practice reading a table and drawing a scatter plot make up...
EngageNY
Formal Definition of a Function
Formalize the notion of a function. Scholars continue their exploration of functions in the second lesson of the module. They consider functions as input-output machines and develop function rules for selected functions.
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
I Have a Magic Pot
Pupils will explore numbers rules. They will create a picture of their rule and exchange their paper with a classmate. The classmate works to figure out the rule. They then share with each other how they found the rule. Questions are...
Curated OER
Making Connections
Eighth graders investigate the input/output model for building function tables. From the data, 8th graders connect tables, graphs, function rules, and equations in one variable. They work backwards to determine function rules for given...
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...
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
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 lesson, 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
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.
Curated OER
What's My Rule? Simple Linear Functions
Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.
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...
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
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
Model and Solve Algebraic Equations
Examine multiple ways to solve algebraic equations. Pupils will generate a problem solving strategy that addresses the prompt given by the teacher. They will then share their problem solving strategy with the class. Graphic organizers,...