Teach Engineering
Coordinates and the Cartesian Plane
The plot thickens to get a functional understanding. After a short review of plotting points on the coordinate plane, class members learn the difference between functions and relations in the second lesson in a series of nine. They...
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...
West Contra Costa Unified School District
Key Features of Graphs
The key is ... After a day of instruction on key features of graphs, groups create a poster and presentation on the key features of their given function graph. The resource provides an extension activity of "telephone" using...
Curated OER
Algebra 2 Desmos Graphing Project
Encourage class members to get creative with functions. Pairs write their names and draw pictures using a graphing application with a collaborative graphic project. The resource provides the requirements for the project, as well as a...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 3)
Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...
Curated OER
Functions and Their Graphs
Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test. However, the problems are pretty...
Curated OER
How Alike Are We?
Fourth graders find the range, mode, median, and mean for each of the data sets (height and shoe size). They discuss which measure of central tendency for each data set best represents the class and why. Students graph the shoe size and...
Curated OER
Relations and Functions
In this Algebra II worksheet, 11th graders identify the domain and range of a relation and determine if the given relation is a function. The three page worksheet contains explanation and eighteen practice problems. Answers...
Curated OER
Courts and Bounds
Students relate what they know about boundaries on sports courts to explore range of space. In this domain and range lesson, students identify numbers needed to calculate ranges and use the problem solving strategy of making a table.
Curated OER
Function Composition
Students solve two functions at once. In this algebra lesson, students add, subtract, multiply and divide composition functions. They use the correct notation and substitution to get their answer.
Curated OER
Parabolic Equations
For this parabolic worksheet, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This one-page worksheet...
Curated OER
Functions and Models - Week 2
In this function worksheet, young scholars read word problems and write functions to solve them. They explore the domain and range of each function. This two-page worksheet contains eight story problems.
Curated OER
ESP Quiz 2
Students solve five short answer (computation) problems, with three sets of instructions. Two problems require students to find the domain or range of a function. They evaluate limits problems, making proper use of limit notation for the...
Curated OER
Linear Functions
Students solve and graph linear equations. In this algebra lesson, students collect data and plot it to create a linear function. They identify the domain and range of each line.
CPM
Tables, Equations, and Graphs
Eighth and ninth graders solve and graph 24 different problems that include completing input/output tables and graphing the pairs. First, they find the missing values for each table and write the rule for x. Then, students write the...
Virginia Department of Education
Square Patios
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
Mathematics Vision Project
Module 1: Functions and Their Inverses
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
Mathematics Vision Project
Module 6: Quadratic Functions
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
Curated OER
Analyzing Data Sets
In this analyzing data sets instructional activity, 11th graders solve and complete 35 various types of problems that include the analysis of data given. First, they determine the equation that best describes the data shown in a table....
Curated OER
Algebra 1
Students study the functional relationships of a variety of problems. In this functional relationship instructional activity, students determine the dependent and independent quantities of a given set of data. Students record...
Curated OER
Challenge Discussion Sheet 1: Function
In this function discussion sheet, students determine the domain and range of each function and sketch the graph of each. They determine limits of given functions. This one-page worksheet contains thirteen problems.
University of North Texas
Graphing Piecewise Functions
Piecewise functions are the hodge-podge of algebra. Here, pupils watch as each graph is created and then pieced together to make a function. The first example creates a graph step-by-step, while the second problem posts a graph...
Willow Tree
Functions
What makes a function a function? Learn the criteria for a relation defined as a function both numerically and graphically. Once young mathematicians define a function, they use function notation to evaluate it.