Would you work for a penny today? Use this activity to highlight the pattern of increase in an exponential function. Scholars compare two options of being paid: one linear and one exponential. Depending on the number of days worked, they...

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...

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...

Print and use this useful unit on basic algebraic functions, domain, range, and graphing. Tasks include, illustrating simple functions with a graph, and identifying the domain and range of the function. This twelve-page packet contains...

The key is ... After a day of instruction on key features of graphs, groups create a poster and presentation on the key features of their given function graph. The resource provides an extension activity of "telephone" using...

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.

Graph growth in the US. Given population and area data for the United States for a period of 200 years, class members create graphs to interpret the growth over time. Graphs include population, area, population density, and population...

In this limit learning exercise, students find the interval values of given functions. They identify constants, and plot graphs. This three-page learning exercise contains approximately 20 problems.

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...

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...

Create polynomials with specific values. The task consists of writing three polynomial functions that evaluate to specific values for any given number. Scholars first find a polynomial that evaluates to one for a given value, then a...

Use geometric patterns to teach your class how to write functions. The assessment task has scholars consider a pattern of dots to draw the next picture of the pattern. Pupils then analyze the pattern, which helps them develop a function...

Bothered by a wobbly table? Learn how to fix this problem using concepts of slope and continuity. Pupils first consider the problem in two dimensions and then progress to three dimensions. The solution is really quite simple.

There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...

How much do you spend on healthcare each year? Data shows the expenditures in the US rise significantly each year. Young scholars use the data to calculate a rate of change over a 30-year period and look for—as well as provide— possible...

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....

What is "viral marketing" and how does it relate to mathematics? Young mathematicians use exponential functions to develop a mathematical model for a business advertising campaign. Learners then see how their campaigns increase...

In this limitations of formulas worksheet, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.

In this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the points...

In this function worksheet, students are given 6 short-answer problems regarding formulas vs. functions, graphing functions and different ways to view functions.

In this derivatives worksheet, students use the chain rule to show equalities between functions. They read a tutorial that guides them through the process of using the chain rule to find derivatives. This worksheet includes five short...