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...
Illustrative Mathematics
Sammy's Chipmunk and Squirrel Observations
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns. Scholars could find the answer algebraically or create a table to analyze the...
Noyce Foundation
Miles of Tiles
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
5280 Math
Go with the Flow
Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...
Curated OER
Tale of the Tape
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
Curated OER
Rating Systems
Your favorite sports team is ranked #1. How do the powers that be determine this rating? Learn how ratings are mathematically computed using probability concepts, from the Elo Rating System for chess to the Rating Percentage Index for...
5280 Math
More or Less the Same
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
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...
101 Questions
Basketball Shots
Shoot for greater understanding of systems. Pupils watch a short video of a man attempting basketball shots, both one-point free throws and two-point field goals. Given the total number of shots and total number of points made, viewers...
Colorado State University
If You Can't Predict the Weather, How Can You Predict the Climate?
Why is the weather man wrong so often? Young climatologists discover how chaos rules both weather and climate through a math-based activity. Using an iterative equation, the class examines how small day-to-day weather events total up to...
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...
Serendip
Using Models to Understand Photosynthesis
Is your class in the dark about photosynthesis? Shed some sunlight on an important biological process with a thoughtful activity. After answering questions to help determine their level of knowledge, learners work with chemical equations...
Teach Engineering
Tippy Tap Plus Piping
Getting water to a tap requires an understanding the fundamentals of fluid flow. Groups design, build, and test a piping system to get water from the source — a five gallon bucket — to a tippy tap. The objective is to be able to...
Teach Engineering
Human Power
How many humans does it take to power a light bulb? The 10th part of a 25-lesson Energy Systems and Solutions unit has learners conduct an experiment to calculate power. They then use the results to determine how many classmates they...
101 Questions
What Micheal’s Coupon Should You Use?
Get your classes on their way to extreme couponing! Young mathematicians analyze two different coupon options for the better deal. They use different scenarios to predict and compare the outcomes.
Curated OER
Task: Miniature Golf
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...
Teach Engineering
Ice, Ice, PV!
Knowing the temperature coefficient allows for the calculation of voltage output at any temperature. Groups conduct an experiment to determine the effects of temperature on the power output of a solar panel. The teams alter the...
Illustrative Mathematics
Quinoa Pasta 1
Here is a great opportunity to introduce your mathematicians to a food they may never have heard of, quinoa. It may help to show a short video on quinoa, or make some quinoa for the class to try. Once they get over how to say quinoa,...
Teach Engineering
Sliders (for High School)
Slip sliding away. Groups investigates the two types of friction by running an experiment that allows them to calculate the coefficient of static friction and the coefficient of kinetic friction. The experiment uses a box, a...
5280 Math
Triangle Area Patterns
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...
Teach Engineering
Energy Forms and States Demonstrations
Does a tennis ball have energy? What about a bowling ball? Demonstrate concepts of different forms of energy forms and states with a variety of objects. Using the equations for potential and kinetic energy,...
Noyce Foundation
Digging Dinosaurs
Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
Teach Engineering
Energy and the Pogo Stick
Let your class bounce to examine the concept elastic potential energy. Individuals bounce on a pogo stick in order to calculate its elastic potential energy. Groups then compare the elastic potential energy to the gravitational...