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.  

Of particular interest to a group of business and finance pupils, this lesson explores depreciation of automobile values by comparing the double declining balance to the straight line method. Mostly this is done through a slide...

This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...

Learners will explore linear functions. They start by comparing linear functions representing two trains racing toward each other. Next, they solve related word problems and complete corresponding data tables, graphs, and worksheets....

Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.

How can you tell if number relationships are proportional? Mathematicians investigate proportional relationships. They compare and contrast functions and graphs to determine the characteristics of proportional relationships, as well as...

Secondary learners investigate exponential functions in a real-world scenario. They collect data on the temperature of a cooling baked potato, enter the data into lists, and graph the data using a scatter plot before finding an...

Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of these...

Calculate the movement and properties of planets like professional astronomers! Scholars use Kepler's third law to find Mercury and Venus's distance from the sun. Using changes in brightness of distant stars and Kepler's third law,...

Decide whether to learn about weather. An illuminating lesson has scholars first watch video clips and discuss the difference between weather and climate. Using their newfound knowledge, they create analogies to illustrate this...

Here's the cure to boredom. Given a patient file, including medication dosage information, scholars determine the amount of medication left in the patient's bloodstream over time. They analyze the sequence of numbers and determine a...

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...

Discover the power of mathematical modeling using a hands-on activity. Participants collect data on the height, velocity, and time to model the height of a tossed ball over time. Collaborative groups toss a ball and use video analysis as...

Ready to increase pupils' understanding of slope with an upward slope? Scholars use an interactive that allows users to move two points on a coordinate plane. The interactive then automatically calculates the slope, the slope-intercept...

What is the appropriate model? Sample problems show the extent of the Smarter Balanced assessments Claim 4, Modeling and Data Analysis. Items provide pupils the opportunity to use mathematical modeling to arrive at a reasonable answer....

Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...

Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...

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.

First there was pi and now there's e. A discovery-based lesson plan 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 plan is...