Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.

They grow by leaps and bounds. Learners watch a quick review on function notation as they prepare to learn more about exponential growth. Using their knowledge from sequences, pupils find out whether a function is linear or exponential,...

Bring algebra to life with scientific applications. Math minded individuals calculate and graph the time it takes a bacterium to double. They discuss geometric sequences and use a chart to graph their findings. There are 38...

The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...

Math and M&Ms® go great together when introducing a modeling activity. Allow your learners to simulate population growth and decay of fish in a pond and share their reasoning for the change in fish. With such an impact we have on our...

Need to know if your students comprehend all the Common Core standards covered in second grade? This growth assessment will let you know.  Find out if your second graders can add/subtract, tell the time, read a bar graph, know their...

"Just sit right back and you'll hear a tale ..." Gilligan's Island is a classic that spans generations and offers a problem-solving opportunity for scholars. Take a project-based learning approach to examine the population of the island....

What will that cost in the future? The scenario provides pupils with a growth as a Consumer Price Index. Learners create functions for a given item to determine future prices and graph them. Class members then compare their functions to...

The values keep getting smaller—quickly! Pupils watch a video that contrasts exponential decay with exponential growth from the first lesson in the unit. Learners identify exponential functions that are decaying and create graphs of...

This worksheet manages to provide both fun and serious work solving exponential and logarithmic application problems in engaging story lines and real-life situations. A strong emphasis on science applications and numbers pulled...

Traditional lamian, a noodle originating from China, is hand shaped by twisting, stretching, and folding the dough into strands. Scholars observe the technique before determining the length of the final noodle. They use exponential...

Eighth graders predict human population growth.  In this lesson, 8th graders discuss the length of time needed to double the human population, work in groups to chart population growth and predict population growth in the...

Students explore the concept of exponential growth.  In this exponential growth lesson, students manipulate power models with base 2.  Students discuss what would happen if you doubled a penny over the course of 20 days. ...

How fast does it grow? Scholars work on two tasks dealing with exponential growth, one on population growth and the second on investments. Learners research a country's population over the past century and make predictions of the current...

Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...

Discover how to find the value of an interest-bearing account. Individuals watch a video to learn how to use exponential functions to model compound interest. After the video, they complete a activity of problems on compound interest.

Keep track of a state's population. After a brief discussion on how population data is used for funding, individuals look at population changes over time. Pupils find the population of two states using three different censuses. They then...

Students identify and interpret plant growth as well as gain graphing skills and other important knowledge related to potting plants. They take a regular milk jug and cut off the top, leaving the handle and the rest intact. Then,...

Get a free peek into a calculus exam. Released free-response items from the AP® Calculus AB exam provide teachers and pupils examples of how topics may appear. The six questions cover topics such as growth rates, volumes of rotations,...

In this population model worksheet, students explore models of population growth using the Gompertz growth model and the exponential growth model. They sketch a graph of the slope function and determine possible solutions over time....

In this math word problems worksheet, learners complete math word problems dealing with maple trees, syrup, and a sugar bush. Students complete 6 problems where they click on links and that contain growth rate, percentages, measurement,...

Powers of two: it's a matter of doubling. A short summative assessment task asks pupils to determine a process to calculate the number of cells at given time intervals. They use powers of two in order to calculate the number of...

Differentiate everyone's knowledge. Pupils work through nine review questions to highlight key concepts from Unit 7. Items range from finding slope fields and reasoning with them to finding general and particular solutions of...

Cats can't add, but they do multiply! Determine the number of descendants of a single cat given specific facts about cats and kittens. The lesson focuses on developing strategies for problem solving using both individual and group work....