Will human population growth always be exponential, or will we find a limiting factor we can't avoid? Young scientists learn about both exponential and logistic growth models in various animal populations. They use case studies to...

The population of the US increased 300 percent in the 20th century, but the use of raw materials increased by 1,700 percent. Explore human population growth over time with a video that examines the history of why such growth has occurred...

Touchdown! This is an exponentially insightful instructional activity that explores the growth of football games with different video game consoles. Class members discuss whether the increase of mergahertz can be described as linear or...

Start with the basics and move up the exponential ladder to master a variety of problem-solving and application problems. The problems are heavy on exponential growth and decay, compound interest, and natural log.  

How do you make a penny grow to $5,000 in just 15 days? Use the examples in this lesson plan to explore the concept of exponential growth and its comparison to linear models. Pupils come to understand that exponential growth eventually...

Concepts from the last few videos, particularly exponential growth and decay functions, are covered in this video about word problems. Viewers can apply their new (or growing) algebraic knowledge to solve the word problems along with Sal.

In this 2-day lesson focused on exponents, middle schoolers will cross the curriculum by engaging in science, history and language arts activities. Exponential growth will be explored using grains of rice on a chess board. Exponential...

Transitioning between algebra and geometry is no problem for Sal as he deftly solves these practice SAT problems. Mathematicians who have a hard time moving between skill sets will appreciate the way that Sal addresses each new problem...

Just how fast does bacteria grow? Over the course of three lessons, pupils investigate exponential growth with the use of bacteria growth. During the lesson, bacteria from a cell phone is grown to make a connection to real life. Using...

Using technology, pupils find an exponential function to model the population growth of the US. With more information, learners derive the population growth formula for the world. Ultimately, they determine the amount of protein needed...

How do populations grow and change? Scholars define demographics and identify trends in human population growth and learn how to make predictions about population size based on data analysis. Learners then explore the concepts of age...

Find an easier way to double it. Using the price of an item and the Consumer Price Index, learners determine how long it will be for the price to double. Scholars calculate the length of time it would take for the price to double using a...

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...

Salmonella poisoning impacts over 200,000 people in the United States each year. Scholars learn about the growth of these bacteria using multiple approaches. Then they apply the same growth calculations to endangered species and think...

Scholars read and interpret a graph relating bacterial growth in a culture over time. They apply knowledge of derivatives, estimation, and graphing to the skill practice questions.

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...

If money was left in an interest-earning account for 1,000 years, how much would it increase? Viewers watch a clip from a show about the future when someone learns about their balance after 1,000 years. Then, they solve for the amount in...

Take a functional approach to the national debt. Learners collect information about the national debt by decade and plot the data. They determine whether an exponential curve is a good fit for the data by comparing the percent changes...

Develop functions with function notation from formulas. With calculators, pupils graph compound interest equations using a given principle amount, rate, and number of times compounded. Learners convert the formula to use function...

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...

Grow an equation for the exponential graph. Given a graph of an exponential function, class members write the equation of the function provided. The graph labels two points on the graph: the y-intercept and the point where x is one.

Two points may be on the graph of an exponential function, not just on a line. Given a function table with two points, pupils determine the exponential function that contains the points. The assessment requests that learners show all...

Calculate the increasing value of an antique. Given the initial value and the rate of growth of an antique desk, pupils write the exponential function to model the value of the desk. The resource provides information that the function is...

My great-great-great-grandfather would owe how much? The resource provides a scenario of finding the amount due on a library fine compounded continuously one hundred years later. The presenter substitutes values into the exponential...