Function machines are a great way to introduce the topic of functions to your class. Here, you will explore the input and output to functions both using numerical and non-numerical data. Learners are encouraged to play with different...

Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...

Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...

In this problem solving worksheet, 6th graders determine if 4 functions are exponential growth or decay, sketch 4 graphs and compare 2 sets of functions. Students write the rule, linear or exponential, for 4 tables.

Examine and compare a linear and step function. The task provides two scenarios, one modeled by a linear function and the other a step function. Pupils create a graph for each and explain how each compares to the other.

Transform your lesson for transforming functions. Scholars transform linear, quadratic, exponential, rational, and trigonometric expressions. They write their expressions to fit specific forms and identify the values of the resulting...

In this math worksheet, learners investigate the concepts of order of operations, domains, and inverse functions while using a calculator.

In this function instructional activity, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page instructional activity contains approximately ten problems.

Learners are given a description of a scenario of Professor Fink searching for a group of children. When he finds them, he states that he can express their location as a function of his hand. Students analyze the scenario and determine...

Here is a resource that demonstrates growth and the initial state of an equation. In this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...

A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...

For this harmonic function worksheet, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page worksheet contains...

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...

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...

Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.

Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...

In this graphing calculator worksheet for the TI-83 calculator, students first observe a demonstration for calculating negative numbers. Next, students use their graphing calculator to answer 6 thoughtful T/F and short answer...

In this organizing data worksheet, 7th graders solve seven different types of problems related to data. They first identify the type of data as categorical, discrete or continuous from the information given. Then, students use Excel to...

A graph not only tells us who won the bike race, but also what happened during the race. Use this resource to help learners understand graphs. The commentary suggests waiting until the end of the year to introduce this topic, but why...

Explore scientific notation in this mathematics lesson. Young mathematicians explore multiple representations of large number in scientific notation through the use of models, visual representation and expanded form. The lesson provided...

Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 

Your young fishermen learn about exponential function growth by interpreting the pieces of the given equation within the context of numbers of fish in a lake.

Develop a solid understanding of the manipulation of expressions to produce equivalent expressions. Given an expression, pupils rearrange it to create a new one. Their new functions must match the structure of the model expressions.

How hard can it be to measure out two pounds? A short performance task introduces a situation where a balance scale is broken. It gives a method for measuring out two pounds and asks learners to evaluate the procedure. They must prove...