Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...

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...

Reflect upon the graphs of quadratic functions. Given a quadratic function to graph, pupils determine whether the graph after a horizontal and vertical reflection is still a function. The final two questions ask scholars to describe a...

What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear,...

There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...

Challenge your classes to think between the curves. Given two function formed by the combination of two exponential functions, individuals must write three functions in which all values would lie between the given. The question is...

Your knowledge of graphs is a function of how much you try. Young mathematicians work on a set of 12 questions that covers graphing functions, comparing functions, and rewriting functions in different forms to determine key features....

Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions. 

Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...

Not all continuous functions are differentiable. Pupils find three types of functions that are defined everywhere but not differentiable for all values of x. Along with providing examples of each type of function, students...

Two for one—create an invertible and non-invertible function from the same data. The task presents a function table with missing outputs for the class to use to create two functions. One of the functions should have an inverse while the...

An Algebra II lesson plan draws the connection between the exponential function and its inverse. By graphing an exponential function and using tables and a calculator, students graph the logarithmic function. The plan comes with a...

Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one...

Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...

Take a unique approach to study the graphing of trigonometric functions. Young scholars consider two sine functions and write three functions that will lie between the two given. They use a graphing utility to assist in their explorations.

Out of the swimming pool and into the math classroom! Young mathematicians analyze two linear functions representing the number of liters of water in a pool as it drains over time. They must evaluate functions, interpret function...

Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...

Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...

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...

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...

Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...

Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...

How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...

This unit assessment covers the modeling process with linear, quadratic, exponential, and absolute value functions. The modeling is represented as verbal descriptions, tables, graphs, and algebraic expressions.