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.  

Present the world to me! Participants develop presentations about functions they learned through research. They then share their ideas about how functions apply to global warming with the class.

Practice makes perfect! Presenters practice their function presentation before a partner or small group for evaluation before presenting their project to the whole class. Pupils can then incorporate ideas from peer review into the...

What good are functions in the real world? Learners take real-world situations and investigate the associated function. Documentation of real-world scenarios helps learners connect key mathematical vocabulary words with certain functions.

Task your mathematicians with a thought-provoking worksheet that matches equation models with t-tables and verbal models. Exponential and linear functions are mixed up and your learners will need to decipher which goes with which. A...

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

Arithmetic and geometric sequences are linear and geometric patterns. Help pupils understand the relationship and see the connection with an activity that asks them to write the rules and classify the patterns correctly. A sorting...

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...

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...