PBL Pathways
Total Cost to Produce the Turbo Blender
Class members blend their knowledge of functions and problem-solving skills to provide business advice to the Turbo Blender manufacturers. Through a project-based approach, learners examine marginal cost data to produce a function. They...
PBL Pathways
Tax Examination
What are your chances of being audited by the IRS? An engaging problem scenario asks pupils to examine the likelihood of being audited compared to factors such as receiving a refund or claiming a home office. The final product of the...
PBL Pathways
Maximizing Movie Revenue
Can theaters increase profits by raising or lowering ticket prices? Using data from the National Association of Theater Owners, classes consider this question. The project-based learning activity includes both a profit and revenue...
PBL Pathways
Boogie Boards
Solve a complex business puzzle by building a linear programming model. An engaging project-based learning problem has classes examining transportation costs and manufacturing limitations from several plants. Ultimately, they use their...
PBL Pathways
Arch Project
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...
PBL Pathways
What Should Have Happened on Gilligan's Island?
"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....
PBL Pathways
Gas Prices
How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of...
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
PBL Pathways
College Costs
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data, write...
PBL Pathways
Solar Toasters
Help a company maximize their profits! A detailed project-based learning activity examines two production scenarios. Your young scholars write a linear demand function. They then apply the function to develop a revenue, cost, and profit...
PBL Pathways
Medical Insurance
Design a plan for finding the best health insurance for your money. Learners compare two health plans by writing and graphing piecewise functions representing the plan rules. Using Excel software, they create a technical report...
PBL Pathways
Medical Insurance 2
Make an informed decision when choosing a medical insurance provider. An engaging lesson asks your classes to write piecewise models to represent the cost of different medical plans. The project-based learning activity is a variation of...
PBL Pathways
Medical Insurance 3
Create a technical report explaining the components of a medical plan through a function. The project-based learning activity gives a medical insurance scenario that young mathematicians model using piecewise functions. Their analyses...
EngageNY
From Ratio Tables to Equations Using the Value of a Ratio
Use the value of a ratio to set up equations. The teacher leads a discussion on determining equations from ratio tables in the 13th portion of a 29-part series. Pupils determine which of two equations to use to find the solution. They...
Cornell University
Constructing and Visualizing Topographic Profiles
Militaries throughout history have used topography information to plan strategies, yet many pupils today don't understand it. Scholars use Legos and a contour gauge to understand how to construct and visualize topographic profiles. This...
PBL Pathways
Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year period....
Space Awareness
Britannia Rule the Waves
Could you determine longitude based on measuring time? Early explorers used a longitude clock to do just that. Scholars learn about early exploration and the importance of the invention of the clock. Then pupils build their own longitude...
Curated OER
A P Literary Terms
Is a list of literary terms found frequently on AP English exams of value to test takers? Now there's a rhetorical question. Here's a list that provides definitions for everything from allegory to vernacular. To say the list is of value...
California Education Partners
Linflower Seeds
How does your garden grow? Use proportions to help Tim answer that question. By using their understanding of proportional relationships, pupils determine the number of seeds that will sprout. They create their own linear relationships...
California Education Partners
Photos
Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit particular...
California Education Partners
Speedy Texting
Model the effects of practice on texting speed. Pupils develop a linear equation that models the change in texting speed based on the amount of practice. The sixth performance task in an eight-part series requires learners to solve and...
Cornell University
Building Spectroscope
Given specific materials, scholars follow a set of instructions to build and calibrate their very own spectroscopes. After construction, they test the scope for accuracy and make modifications where necessary.
Walden Woods Project
19th Century Lessons for 21st Century Lives
The words of Henry David Thoreau on Civil Disobedience seem particularly relevant today, as are his writings and those of other transcendental thinkers who ask what it mean to live deliberately and what are the responsibilities of...
University of Minnesota
Beautiful Brain: Do You See What I See?
Can art play tricks on your eyes, and can a still painting really appear to vibrate? The second lesson in a four-part series discusses the way our beautiful brains translate visual images. It highlights the style of optical art and...
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