Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...

Your transformers will create and analyze graphs to discover which operations produce which transformations. Linear and exponential functions are used to model the transformations.

Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...

Analyze years of hard climate change evidence in minutes. Climatologists evaluate graphical data about climate change by answering questions. Scientists work collaboratively using a literacy cube or virtual die that directs them through...

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...

Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 

Model periodic populations. Here, in the context of foxes and rabbits, pupils look at graphs of the populations of these animals in a national park over a span of 24 months. Groups analyze the graphs and determine trigonometric...

Use measures of variance to compare and analyze data sets. Pupils match histograms of data sets to their respective statistical measures. They then use calculated statistics to further analyze groups of data and use the results to make...

Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...

How do scientists know what Earth's climate was like millions of years ago? Young environmental scholars discover how researchers used proxy data to determine the conditions present before written record. Grouped pupils gain experience...

Are the Arctic ice caps really melting out of existence? Junior climatologists examine the statistics of ice decline through four math-based lessons. Each activity incorporates data, climate information, and environmental impact into an...

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...

Unlock the mystery behind seasonal change with a collection of worksheets and activities. Whether they are drawing pictures of Earth's orbit around the sun or graphing the temperature and daylight hours of different locations...

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,...

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...

A little too much strain could cause a lot of stress. Groups conduct a strength test on clay. Using books as weights, pupils measure the compression of clay columns and calculate the associated strain and stress. Teams record their...

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...

The teacher demonstrates how to use a graphing calculator to create box-and-whisker plots and identify critical points. Small groups then create their own plots and analyze them and finish by comparing different sets of data using box...

Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...

Introduce teams to quantum dot solutions with an activity that has them expose solutions to a blacklight, observe the colors, and take measurements. Groups graph the data and analyze the dependence between particle size and...

Water filtration — that's pure genius! Groups test the ability of a water filter to purify water by running chlorine contaminated water through a filter and measuring the chlorine concentrations as they filter the water. They then graph...

Conduct an experiment to determine the accuracy of pedometers versus pedometer apps. Class members collect data from each device, analyze the data using a hypothesis test, and determine if there is a significant difference...

The more you text, the less you study. Have classes test this hypothesis or another question related to text messages. Using real data, learners use technology to create a scatter plot and calculate a regression line. They create a dot...

I can get more water to stay on a penny than you can! Collaborative pairs determine the volume of liquids that can be contained on the surface of copper pennies and plastic coins. The pairs analyze their results using graphs and go on to...