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.
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...
Kenan Fellows
Dinner Party: Using Pattern Trains to Demonstrate Linear Functions
Nothing fancy here ... just your run-of-the-mill Algebra party! Learners explore the patterns of linear functions while designing seating arrangements for a dinner party. Comparing the number of tables to the perimeter of the combined...
EngageNY
Comparing Linear Functions and Graphs
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
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...
Saxon
Plotting Functions
Youngsters use a graphing calculator to assist in creating a function table. They graph the function on a coordinate plane. They explore the relationship between the domain and range in the graph. This four-page worksheet contains two...
Curated OER
Graphs: Linear Functions
In this linear function instructional activity, students use tables to find the values of functions. They graph linear functions and explore the significance of the coordinates. This two-page instructional activity contains 4 multi-step...
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...
Charleston School District
Review Unit 4: Linear Functions
It's time to show what they know! An assessment review concludes a five-part series about linear functions. It covers all concepts featured throughout the unit, including linear equations, graphs, tables, and problem solving.
EngageNY
Linear and Nonlinear Expressions in x
Linear or not linear — that is the question. The lesson plan has class members translate descriptions into algebraic expressions. They take the written expressions and determine whether they are linear or nonlinear based upon the...
Charleston School District
Tables of Linear Functions
Don't forget the tables! The previous lessons in this five-part series examined the linear equation and graph relationship. The current lesson adds tables to the mix. At completion, individuals should be able to create a table of values,...
University of Utah
Functions
Define, explore, compare, and analyze functions with the fourth chapter of a 10-part eighth-grade workbook series. After encountering the definition of a function, pupils begin to explore linear and nonlinear functions. They then work...
EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
Curated OER
Graphing Linear Functions
In this linear functions worksheet, learners graph 3 linear functions. Students graph each function by making a table of values given a linear function in standard form.
Curated OER
Graphing Linear Functions Two
Use this graphing linear functions worksheet to have learners graph three linear equations. They use a table of values, the intercept method, and slope-intercept form to graph three functions.
Curated OER
Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Curated OER
Using Data Analysis to Review Linear Functions
Using either data provided or data that has been collected, young mathematicians graph linear functions to best fit their scatterplot. They also analyze their data and make predicitons based on the data. This instructional activity is...
Curated OER
Identify and Graph Linear Equations
Students investigate linear functions. In this mathematics lesson, students plot points onto a graph by solving the equations y=x and y=mx+b by being given numbers for x and solving for y.
Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
CK-12 Foundation
Function Rules for Input-Output Tables: Soda Sugar Function Table
Examine the relationship between the input and output variables in a table of values. As learners build an input-output table using online manipulatives, they begin to identify patterns. They answer questions about these patterns and...
Curated OER
Chapter 4 Test: Functions and Integers
In this functions and integers learning exercise, learners combine positive and negative integers through addition, subtraction, multiplication and division. They complete function tables and graph the results of linear equations. This...
Charleston School District
Pre-Test Unit 3: Functions
How does an input affect an output? Assess your learners' ability to answer this question using this pre-test. Scholars answer questions about the basics of a function. Topics include determining if a table or statement represents a...
Curated OER
2D-Graphing Functions
Practice graphing basic equations. Algebra learners complete a table showing values of x and y. They graph the results on a coordinate grid. There are six problems: three equations are linear, and three are quadratic. The "show your...