Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...

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...

Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...

The equations look different, but their graphs are the same. How can that be? This activity leads your mathematicians in an exploration of three different forms of the same quadratic function. After comparing the equations, their graphs,...

Interpreting graphs of functions is addressed in a short worksheet. Distance as a function of time is sketched on a graph, and a few quick questions ask about their meaning. This would make a good short assessment, or a nice worksheet to...

It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....

In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...

In this inverse function worksheet, students sketch inverses, find inverse functions, confirm pairs of functions are inverses, determine functions are one-to-one, and complete tables for one-to-one functions in fifty-eight questions.

In this math worksheet, students graph the functions on parallel axes and observe the location of the slope point in relation to the x and y axes.

In this derivative of a power worksheet, students compare derivatives of functions, and graph functions. This one-page worksheet contains five multi-step problems.

In this function worksheet, students determine the domain and range of given functions. They use trigonometric ratios to determine if a statement is true or false. Students differentiate equations. In this one-page worksheet, students...

In this velocity worksheet, students determine the distance traveled when an object is moving in a straight line. Students graph functions and determine the slope of the line. This two-page worksheet contains six multi-step problems.

How long does it take alcohol to leave your system? Individuals explore this question by examining a polynomial function. They draw conclusions by analyzing the key features of the given polynomial function.

How many problems can your learners solve without using their calculators? They solve problems containing absolute value, exponents, and rational roots. This three-page worksheet contains 18 multi-step problems, and it was originally...

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,...

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...

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,...

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...

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...

Flip the script! Reverse the situation and ask the class to find the function given asymptotes. The task requires class members to use their knowledge of functions and asymptotes to create functions that have a given asymptote or...

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...

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...

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...

Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...