Rumor has it exponential functions help solve problems! In a kingdom filled with rumors, young scholars must determine the speed a rumor spreads. The ultimate goal is to decide how many people must know the rumor for it to spread to the...

An inverse relationship exists between exponents and logarithms, allowing mathematicians to easily convert one to the other. Scholars apply a brief definition of logarithms with a few practice problems. Then, they discover the...

Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.

Different medications leave the body at different rates, and how people take them determines their effectiveness. Learners investigate this effectiveness by charting the concentration of a given medication in the body. Using exponential...

Here's a lesson sure to get your heart beating! Scholars learn how to apply equations to solve problems by watching a short YouTube video. They substitute values into given linear and exponential equations to determine values for heart...

First there was pi and now there's e. A discovery-based lesson helps learners find a pattern in compound interest as the compounding period changes. Their investigation results in the discovery of the number e. The lesson is the first in...

Insects threaten the food production industry, and aphids are one of the big players! Analyzing data of aphid populations gives insight into their behaviors. Learners model the population data of an uninhibited population with an...

There's no need to rewrite any of the questions, just the equations. A set of assessment items tests comprehension of the standards F-IF.7a, F-IF.7e, A-REI.3, and A-CED.4. Scholars must graph linear and exponential equations, solve...

Create a linear versus exponential debate. An exploratory instructional activity asks scholars to analyze population data and determine the best type of function to model the pattern. The data represents populations from five continents.

Just let the class cool down. Using dice, the class actively participates in a demonstration of exponential decay. Groups use given data on three coffee mugs to find the one that will best meet the coffee companies' requirements for...

What do all the graphs have in common? Working in Excel, pupils create an input/output table using exponential equations. The class members use an interval of input values that include zero and use several simple exponential functions to...

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...

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...

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...

When will half of the substance be gone? Using the exponential decay formula, the video finds the half-life of radium-226. The 29th installment in a 31-part series goes on to discuss that the calculations are the same independent of the...

Deforestation is a dire problem—show your class how to model it mathematically. Learners create an equation to express the number of fir trees in a forest over time. An exponential decay function serves this purpose.

We'd all like to see our money double. An interactive shows how an initial investment of $1,000 will increase using a constant rate of return. Scholars answer a set of challenge questions based on the situation.

Grow your knowledge of exponential graphs. Individuals graph an exponential function on a coordinate plane given its equation. They determine whether it represents growth or decay, identify intercepts, and describe end behavior.

You'll have more problems than solving an exponential equation if your town's population decreases to zero. Individuals create an equation to represent the population of a town given information verbally. Using logarithms, they solve for...

High schoolers probably won't be tweeting about this resource, but it's still good to use. Scholars create an exponential equation to model a situation involving Twitter followers. The equation provides a means to solve a problem related...

Scholars determine the percentage increase of college tuition for a decade based upon the equation given for a year. Pupils rewrite the exponential equation by changing the variable to reflect ten years instead of one.