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...
Inside Mathematics
Graphs (2007)
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
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...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
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
Applying Linear Functions
In this algebra worksheet, learners rewrite word problems using algebra and relate linear functions to real life scenarios. There are 2 questions with an answer key.
Curated OER
Exponential Graph Functions
In this exponential functions worksheet, students solve and complete 13 various types of problems. First, they define what is different and what is the same about exponential and linear functions. Then, students write a rule for each...
Curated OER
Parent Functions Review Sheet
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet can be...
Curated OER
Linear Functions
In this algebra learning exercise, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
EngageNY
Graphs of Piecewise Linear Functions
Everybody loves video day! Grab your class's attention with this well-designed and engaging resource about graphing. The video introduces a scenario that will be graphed with a piecewise function, then makes a connection to domain...
University of North Texas
Library of Functions
Join the family picnic and see how all the functions come together in a PowerPoint that highlights their main features. As it includes topics such as domain, range, and intercepts, the slides are a great guide to promote class discussions.
Desmos
Desmos Graphing Calculator
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....
Curated OER
Functions - Intro and Inverses
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
GeoGebra
GeoGebra Graphing Calculator
So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.
Del Mar College
All About Lines
This resource should be called "All About Lines, and Then Some!". Packed full of all the key components of linear functions, learners review how to set up different equations, find intercepts, and graph. All the main topics are included...
Curated OER
Exponential Growth versus Linear Growth II
Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.
Virginia Department of Education
Linear Modeling
An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the strength and...
Mathematics Vision Project
Features of Functions
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), learners generate the graphs of f(x + c), f(x) + c, and cf(x) for specific values of c. The...
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...
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
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
Graphing and Analyzing
In this graphing and analyzing worksheet, 9th graders first state if each graph represents a linear or nonlinear relationship. Second, they create a difference table for each set of data presented and determine whether it represents a...
Curated OER
Nonlinear Inequalities
In this Algebra II worksheet, 11th graders solve nonlinear inequalities, graph the solution set on the number line, and write the solution in interval notation. The one page worksheet contains thirty-eight problems. Answers are provided.