EngageNY
Linear Functions and Proportionality
Connect linear equations, proportionality, and constant rates of change to linear functions. Young mathematicians learn how linear equations of the form y = mx + b can represent linear functions. They then explore examples of linear...
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.
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
Input- Output Tables
In this math worksheet, students use 20 empty Input/Output tables for any math function where they are applying a rule to different numbers. There are 4 lines on every table and there is an area to write the rule which is being followed.
Curated OER
Input- Output Tables
In this multi-use input-output table instructional activity, students fill in 20 tables to determine the rule for a math sequence or pattern. There are no directions given with this instructional activity.
Curated OER
Function Tables
For this function table worksheet, 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...
5280 Math
Aquarium Equations
Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...
Flipped Math
Modeling with Graphs
Create a graph for anything in the world. Pupils continue to work with graphs that model situations. The learners analyze different graphs to answer questions about the scenario along with finding equations of graphs. Scholars use...
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.
Curated OER
Mixed Tables
Who knows how to operate these multiplication machines? Young mathematicians examine five machines, each with a specific function (i.e. x3) to transform the input numbers to output numbers. They send five numbers through each machine,...
Curated OER
Function Tables
Young scholars identify function using tables of data. In this algebra lesson plan, students create a tale of point and plot on a coordinate plane. They analyze the graph as being a function or not.
Shodor Education Foundation
Two Variable Function Pump
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
Mathematics Vision Project
Module 8: More Functions, More Features
A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
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...
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
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
Integers and Functions
In this integers and functions learning exercise, students solve 6 word problems involving function tables and writing equations to match the story.
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
Mathed Up!
Straight Line Graphs
Develop graphs by following the pattern. The resource provides opportunities for reviewing graphing linear equations. Pupils create tables to graph linear equations by using patterns whenever possible. The worksheet and video are part of...
Curated OER
Domain and Range
Relations, and functions, and line tests, oh my! An instructional slideshow demonstrates the definitions of a relation, a function, and the domain and range of a relation. Viewers then learn how to use mappings and vertical line tests to...
Curated OER
Relations and Functions
Students differentiate between a relation and a function. In this algebra lesson plan, students identify a pair of coordinates as being a relation or a function. They analyze graphs for function as they solve word problems.
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...
Pennsylvania Department of Education
What is the Chance?
Fourth and fifth graders make predictions using data. In 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...