Radford University
Parallelogram Task
These floors were made for learning. Pupils use coordinate planes drawn on the classroom floor using tape to investigate parallelograms. They measure lengths, angles, and slopes to identify properties of parallelograms.
Radford University
Remodeling a Home
Get new flooring for as cheap as possible. Given a floor plan of a house, pupils determine the area of each room and the amount of necessary flooring. They then make selections for the flooring in every space, taking a budget into...
Radford University
“Putt-Putt” For The Geometry of It!
Take a swing at the task. Using their knowledge of polygons and solids, scholars design one hole of a miniature golf course. They calculate areas and perimeters, determine the cost of building the holes, make scale drawings, and create...
Radford University
Pirate Attack
Arr ye matey, it's time for some trig. Learners first read up on the 2010 attack on the USS Nicholas by a group of pirates and the testimony of one of the witnesses. They use right triangle trigonometry to determine if the account is...
Radford University
Finding the Largest Possible Area
If you want a bigger garden, here's a task for you. Given the perimeter of a triangular garden, scholars determine the largest possible area. They then generalize their findings and extend the idea to other polygons.
Radford University
A Day at the Beach!
Make math class feel like a day at the beach (minus all the sunburns, of course). Given information about a pail, a soup can, and a plastic pyramid mold, pupils calculate the volume of sand that can fit in each. They then design sand...
Radford University
Running Laps During Soccer Practice
Which option involves running less? Given a situation in which players can either run around the school soccer field 20 times or run back and forth along the diagonal 20 times, learners decide which option would be better. They consider...
Radford University
A Place at the Table
Find a seat at the table. Learners design a non-rectangular picnic table given constraints on the number of people that should be able to sit at the table. They draw blueprints and build scale models of their tables. After researching...
Radford University
Filling Up a Swimming Pool Task
Swimming pools are no fun without water. For a pool in the shape of a trapezoidal prism, scholars first calculate the amount of water needed to fill the pool. They use experimental data on water flow to determine whether to haul water...
Radford University
Developing a Trigonometry Phone App
What's one more app? After reviewing how to calculate missing side lengths or angle measures in a right triangle, pupils create instructions for a phone app to do all of the tedious work. They must consider all nine cases of known...
Radford University
Rom/Com Final Scene
You haven't seen this scene before, have you? Young mathematicians first review the Pythagorean Theorem and trigonometry by completing a worksheet. They then consider several problems involving two people running toward each other in a...
Radford University
Discover Radians!
No need for radians to be mysterious. Scholars use a cardboard cut-out of a unit circle and measure the radius and circumference using a piece of string. They consider the number of radii needed to cover the entire circumference and use...
Radford University
Fuel Efficient Function Activity
Pupils research the five most fuel efficient vehicles of the same type and come up with a way to display the mile per gallon for each vehicle. After choosing a vehicle, scholars create graphs to display miles traveled given the amount of...
Radford University
Finding Slope
The class takes a trip about the school and find four places to measure the rise and run of objects that represent slope in the building. Pairs work together to calculate the slope of each object and determine whether any ramp they find...
Radford University
Class Fundraising Committee
Given the task of coming up with a fundraiser, small groups determine the type of fundraiser to hold and restraints on the number of participants. The classmates create inequalities to represent the constraints and graph the solution to...
Radford University
Throwing a Football
Use mathematics to help the football team. Pairs brainstorm how to approach finding a solution to a problem to help the quarterback complete more passes. By researching and collecting data, the teams derive an equation to represent the...
Radford University
Staircases and Ramps
Ramp up the study of slope. The class participates in a discussion about the physical aspects of stairs and ramps they encounter. Small groups work together and measure a staircase and corresponding ramp to calculate the slope of each....
Radford University
Translating and Evaluating Cell Phone Plans
Translate phone plans to algebraic expressions. Pupils review translating verbal phrases to algebraic expressions by filling out graphic organizers and completing matching activities. Using a fictitious cell phone company, they create...
Radford University
Action Bungee Jump
Drop scatter plots onto the class. Teams collect data to determine how far an action figure will fall suspended by rubber bands. Using the collected data, groups determine a line of best fit. Given a drop height, they also determine the...
Radford University
Exploring Equations through Life Goals
What do I want to do when I grow up? Learners research job categories and determine a career within the category. Using the chosen job, pupils find the hourly wage and calculate future income based on percentage wages. Individuals then...
Radford University
Calculating the Cost: Algebraic Planning for a First Car
Scholars decide which job to take based on the pay. They then research cars to potentially purchase and determine the total cost of the car. Finally, they calculate how long they would have to work to purchase the car along with how much...
Radford University
Plumbing Task
Make sure it flows smoothly. Pairs research plumbing codes to find the required slope for a sewer line. Using the information, groups answer several questions involving interpreting the slope. Pupils determine the cost of pipe to run a...
Radford University
Movie Projector Cost
Small groups analyze the attendance at a movie theater and determine the amount of money made for per show. Team members calculate the number of shows it would take for a theater to make a profit after purchasing a new digital projector....
Radford University
How do I Choose the Most Cost Efficient Scooter Rental Plan for My Family?
Pupils compare the cost of renting scooters for a family vacation from three different rental places. To help make their decision, scholars create tables, equations, and graphs of the pricing structure. Individuals then determine which...