Annenberg Foundation
Skeeters Are Overrunning the World
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
Point Pleasant Beach School District
Parabola Project
Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...
Illustrative Mathematics
Introduction to Linear Functions
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...
Curated OER
A Sum of Functions
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...
5280 Math
Factory Functions
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...
Curated OER
Do Two Points Always Determine a Linear Function II?
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.
Illustrative Mathematics
Telling a Story With Graphs
Turn your algebra learners into meteorologists. Students are given three graphs that contain information about the weather in Santa Rosa, California during the month of February, 2012. Graph one shows temperatures, graph two displays the...
Illustrative Mathematics
Logistic Growth Model, Abstract Version
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense...
Curated OER
What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
Curated OER
US Airports, Assessment Variation
Determining relationships is all part of algebra and functions. Your mathematicians will decide the type of relationship between airports and population and translate what the slope and y-intercept represent. The problem is multiple...
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...
Curated OER
Exponential Functions
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.
5280 Math
Step by Step
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
5280 Math
More or Less the Same
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
Curated OER
Narrow Corridor
Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).
Illustrative Mathematics
Bike Race
A graph not only tells us who won the bike race, but also what happened during the race. Use this resource to help learners understand graphs. The commentary suggests waiting until the end of the year to introduce this topic, but why...
Illustrative Mathematics
Delivering the Mail
A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...
Curated OER
Heart Rate Monitoring
Algebra learners like this resource because it is easy to understand and it relates to their lives. Whether you are starting a new workout routine, or just climbing the stairs, your heart rate increases and decreases throughout the day....
Curated OER
Latitude
Your young geologists generate a graph given a table of values from the context of latitude and percent of the earth's surface north of that latitude. The questions in the activity then focus the learners to a deeper understanding of the...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Curated OER
Your Father
Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...
Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
Curated OER
Do Two Points Always Determine an Exponential Function?
Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...
Agile Mind
Transforming Graphs of Quadratic Functions
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...