CK-12 Foundation
Input-Output Tables for Function Rules
How does changing a graph affect the function? Learners watch the changing input-output table as they adjust the location of the line graph. Questions prompt them to complete a table of values and determine the function rule.
EngageNY
Graphs of Simple Nonlinear Functions
Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.
Concord Consortium
Betweenness II
Read between the curves ... quadratic curves! Young scholars analyze the graphs of two quadratic functions by writing their own function whose outputs are between the two given. They then consider intersecting quadratic functions and...
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.
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.
Project Maths
Introduction to Patterns
The world is full of patterns. Help learners quantify those patterns with mathematical representations. The first Algebra lesson in a compilation of four uses a series of activities to build the concept of patterns using multiple...
California Mathematics Project
Viral Marketing
Math's gone viral—in the form of an exponential function! The activity uses an exponential function to model the growth of a marketing strategy. Learners create a table of values to observe the pattern in the numbers and then model the...
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...
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...
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
Graphing Linear Equations with Calculator
Students graph lines using the calculator. In this algebra lesson, students graph lines of equations in the form y=mx+b. They input equations into the TI Calculator and graph using the slope and intercept. They analyze the graph for...
EngageNY
Motion Along a Line – Search Robots Again
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
Curated OER
Functions and Their Graphs.
Students solve equations and label it as a function or not. In this algebra lesson, students make a table of values and graph their equation. They identify the domain and range of each graph.
Curated OER
Function Tables
Students identify function using tables of data. In this algebra instructional activity, students create a tale of point and plot on a coordinate plane. They analyze the graph as being a function or not.
Curated OER
Worksheet 3.1 Functions
Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...
Illustrative Mathematics
The Parking Lot
Use the real-world cost of parking a car to demonstrate the properties of a function. The resource describes to learners how much it is to park in a certain lot. It is up to your number crunchers to complete a table of minutes and...
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
Variables and Patterns: Determining an appropriate scale while graphing
Sixth graders determine appropriate scales when graphing data. In this graphing lesson plan, 6th graders use an the applet "Graph It" to determine what is an appropriate scale for their data.
Curated OER
Yummy Math
Young mathematicians use bags of Skittles to help them gain practice in graphing and organizing data. They work in pairs, and after they have counted and organized their Skittles, they access a computer program which allows them to print...
Curated OER
Function or Not a Function
Graphing linear equations on the TI is easy! Through examination of graphs and identification if it is a function or not, this lesson can relate to the real world.
Curated OER
What is Log?
Young mathematicians differentiate between logs and natural logs in this algebra lesson plan. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
Curated OER
Relations and Functions
Students differentiate between a relation and a function. In this algebra instructional activity, 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
How are we Related?
Students differentiate functions based on their domain and range. In this algebra lesson, students define function, domain, range and relation. They analyze graphs and coordinate pairs for input and output values making up a function.
Curated OER
Introduction To Functions
Students define a functions and solve problems using functions. In this algebra lesson, students differentiate functions from non-functions. They differentiate between polynomials of higher degrees.