Activity
5280 Math

Factory Functions

For Teachers 8th - 10th Standards
Solve a real-life problem using function-building skills. Presented with an open-ended question, scholars complete a checklist to create and justify a solution in an interesting algebra project. The checklist asks for justifications of...
Lesson Plan
Illustrative Mathematics

Introduction to Linear Functions

For Teachers 7th - 9th Standards
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
Lesson Plan
Illustrative Mathematics

Function Rules

For Teachers 7th - 9th Standards
Function machines are a great way to introduce the topic of functions to your class. Here, you will explore the input and output to functions both using numerical and non-numerical data. Learners are encouraged to play with different...
Activity
Education Development Center

Creating a Polynomial Function to Fit a Table

For Students 9th - 10th Standards
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...
Lesson Plan
Curated OER

A Sum of Functions

For Teachers 9th - 12th Standards
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
Activity
Saxon

Plotting Functions

For Teachers 8th - 9th Standards
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...
Activity
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Illustrative Mathematics

Identifying Graphs of Functions

For Teachers 8th - 12th Standards
Match the graph with its function in an exercise that focuses on variations of the graph of y = e^x. Learners are given four graphs on the same set of axes and four functions, all involving e^x. The task is to match each...
Lesson Plan
1
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Illustrative Mathematics

Modeling with a Linear Function

For Teachers 7th - 9th Standards
Here is a well-designed resource that provides five yes-or-no questions which model different situations with linear functions. It makes a good pre-test for the beginning of the unit. The purpose is to elicit common misconceptions of...
Lesson Plan
Illustrative Mathematics

Using Function Notation I

For Teachers 8th - 12th Standards
Show learners that function notation and multiplication notation are not the same. In the example, Katie is given a function, C(x), which is the cost of producing x amount of DVDs. Ask learners if Katie can divide the function notation,...
Lesson Plan
Curated OER

Exponential Functions

For Teachers 9th - 12th Standards
Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.
Activity
1
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Teach Engineering

Club Function

For Teachers 7th - 9th Standards
Let's get the herd to follow the rules. The activity associated with the second lesson in the unit introduces the class to the definition of a function. Individuals must gather in groups of zebras and rhinos defined by the general...
Activity
Houston Area Calculus Teachers

Polynomial Graphing

For Students 11th - Higher Ed Standards
Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...
Activity
PBL Pathways

Death Project

For Teachers 10th - Higher Ed Standards
Verify the rule of thumb for finding the time of death. The project-based learning task asks pupils to determine when the rule of thumb process of finding the time of death is appropriate. Learners develop a function for the rule and...
Lesson Plan
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Illustrative Mathematics

Oakland Coliseum

For Teachers 9th - 12th Standards
Help algebra learners relate a real-life function that happens at the Oakland Coliseum every time the Raiders play. The resource states that the revenue of the Oakland Raiders home games is a function of the number of seats sold and the...
Activity
5280 Math

Interesting Times

For Teachers 10th - 12th Standards
Gain a little interest in functions with a real-life task. Young scholars analyze home loan data with a geometric sequence and series. They use the models to make predictions about the total loan payments at certain intervals in a...
Activity
101 Questions

Double Sunglasses

For Students 9th - 12th Standards
If you wear two sets of sunglasses, do you get twice the darkness? Pupils explore an enlightening topic using a video and math model. They discover how to extend the topic through a sequel video and challenge question.
Lesson Plan
Curated OER

Do Two Points Always Determine a Linear Function II?

For Teachers 9th - 12th Standards
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
Activity
Agile Mind

Transforming Graphs of Quadratic Functions

For Teachers 8th - 12th Standards
In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...
Activity
Illustrative Mathematics

Building an Explicit Quadratic Function by Composition

For Teachers 8th - 12th Standards
Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of...
Lesson Plan
Curated OER

Parabolas and Inverse Functions

For Teachers 9th - 12th Standards
Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.
Lesson Plan
Curated OER

Using Function Notation II

For Teachers 9th - 12th Standards
Learners write an example to show a function statement true and another to show it false in this short task that addresses some common student misconceptions. 
Activity
1
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Illustrative Mathematics

Transforming the graph of a function

For Teachers 8th - 12th Standards
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and  cf(x) for...
Lesson Plan
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Curated OER

Building a General Quadratic Function

For Teachers 9th - 12th Standards
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
Lesson Plan
1
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Curated OER

Building a Quadratic Function Form

For Teachers 9th - 12th Standards
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...

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