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
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...
Curated OER
Graphs: Linear Functions
In this linear function worksheet, students use tables to find the values of functions. They graph linear functions and explore the significance of the coordinates. This two-page worksheet contains 4 multi-step problems. Graph paper is...
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.
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...
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 learning exercise, students 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.
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...
Curated OER
Chapter 4 Test: Functions and Integers
In this functions and integers worksheet, students combine positive and negative integers through addition, subtraction, multiplication and division. They complete function tables and graph the results of linear equations. This six-page...
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...
Education Development Center
Creating a Polynomial Function to Fit a Table
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Curated OER
Linear Functions
In this algebra worksheet, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
Charleston School District
Graphing Functions
How do letters and numbers create a picture? Scholars learn to create input/output tables to graph functions. They graph both linear and nonlinear functions by creating tables and plotting points.
University of Utah
Explore Proportional and Linear Relationships
Progress from proportional relationships to linear functions. Pupils first review concepts of proportionality covered in earlier grades. They then extend these concepts to linear functions, such as determining the slope of a...
CK-12 Foundation
Function Rules for Input-Output Tables: Whats My Rule?
What's the rule that makes it true? A virtual function machine generates output values as learners submit the input values. Their job is to analyze the inputs and outputs for a pattern and write a function rule.
Mathematics Vision Project
Module 1: Functions and Their Inverses
Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...
EngageNY
Piecewise Functions
Show your class members that if they can graph a linear function, they can graph an absolute value function. Groups create an absolute value graph using a table, then entertain the idea of an absolute value function defined as two...
Curated OER
Linear Functions
In this linear function activity, 6th graders solve and complete 3 various types of problems. First, they write the equation of a straight line that passes through a pair of points. Then, students complete each table by filling in the...
Curated OER
Quiz 2: Euler's Method and Piecewise Linear Functions
In this linear function worksheet, students use Euler's method to approximate a solution to an initial value problem. This two-page worksheet contains three multi-step problems.
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...