Groups sort through NASA data provided in a graphic to create a graph using uniform units and intervals. Individuals then make connections to the increasing, decreasing, and constant intervals of the graph and relate these...

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...

A jam-packed worksheet has all the topics you would teach in an Algebra II class with a variety of question styles. Starting with function notation and ending with geometric sequences, there really is something for everyone. Each...

A simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains...

How can you model exponential decay? Explore different situations involving exponential decay functions and decreasing linear functions by performing activities with MandM candy, popcorn kernels, and number cubes.

Ever wonder why that computer image takes so long to load? Well, math is involved and provides the algorithms needed to compute the measure in nanoseconds. Young mathematicians plug the image measures into the formulas and compare the...

Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...

Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.

Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...

Grab the wheel in learning about functions. A short performance task challenges young mathematicians to develop a function that describes the cars eight people drive. They consider whether the inverse of the function exists. If not, they...

Rumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...

Compose yourself! Learners first use given graphs of functions f and g to graph the composition function f(g(x)) and identify its value for a specific input. They then consider functions for which f(g(x)) = g(f(x)).

Who doesn't like building blocks? In the task, pupils use a given diagram of a tower to determine the number of needed blocks. Using this information, pupils then develop a function rule relating the height of the tower to the number of...

Find the how long it has been raining based upon the amount of rainfall. Scholars analyze a table of the amount of rainfall as a function of time. Pupils first determine whether the function is invertible, then they find and interpret...

It's a sign! Scholars analyze sine functions for patterns in their periods. The exploration advances beyond a simple function to the combination of two functions with even and odd coefficients. Their goal is to find a pattern between the...

Mathematicians typically reference eight different types of functions. Scholars learn about the requirements for graphing a function and must decide how many different functions fit. To finish, they define each specific function meeting...

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....

Use an inverse linear function to interpolate a point. Presented with the number of households over a period of year, pupils find a linear function that will be a model. Class members determine the inverse of the linear function and use...

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...

The road to a greater knowledge of functions lies in the informative resource. Young mathematicians first graph a square root function in a short performance task. They then use given descriptions of towns and the key features of the...

Take the road to a greater knowledge of functions. Young mathematicians graph an absolute value function representing a road connecting several towns. Given a description, they identify the locations of the towns on the graph.

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...

Root for young mathematicians learning about functions. A set of two problems assesses understanding of polynomial functions and their roots. Scholars select values for a, b, and c, and then create two functions that meet given...

Practice makes perfect and perfecting those trigonometric functions are vital in trigonometry. The task requires evaluating cosine and sine values at common degree measures before looking at the results. Is there a pattern when the...