Don't lose the chance to use the task. Given three diagrams of curved pieces of wires, young mathematicians must explain whether it's possible to conclusively match the wires as representing cubic, exponential, or quadratic functions....

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...

Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.

High schoolers model quadratic and linear equations. In this algebra activity, students solve word problems using equations. They create scatter plots and make predictions using correlations.

Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.

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...

Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.

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...

Writing and sketching functions—what more could you want to do? Learners write and sketch functions that meet certain conditions as they complete a short task. They find a parabola that encompasses three quadrants of the coordinate plane...

Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...

Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.

The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...

A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...

Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...

Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....

Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...

Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance...

Here's a window into graphing calculators. Scholars use a graphing calculator to plot a quadratic function. They then adjust the window to make the graph look like that of a linear function and must recreate given graphs.

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...

There is power in spreadsheet formulas and learners use this power to model quadratic data. Given a scatterplot of a parabola, pupils create formulas in a spreadsheet to populate the data. The formulas they use lead to an understanding...

Watch as your classes buy into a rich lesson full of information. A video opener challenges individuals to determine the number of pennies that fit in a circle with a 22-inch diameter. Using lesson materials, scholars collect data and...

Collaborative pairs develop functions that model a graph from a context using the modeling cycle. They then analyze their function models in order to answer questions about the scenario.

Don't let a little challenge get between your pupils and their learning! Scholars compare two absolute value functions to recognize patterns and use them to build their own functions with outputs that are between the given. They then...

Make math class feel more real by using real-world data. Scholars research or collect data on several different topics, such as nutrition, the motion of moving objects, cooling curves, and daylight hours. They create scatter plots using...