Radford University
Discovering Quadratics
Get to know quadratics from a couple of different perspectives. Classmates work in small groups to determine the optimal cooking time for microwave popcorn. Group members pop bags of popcorn for different times and collect data on the...
Radford University
Population Project
How fast does it grow? Scholars work on two tasks dealing with exponential growth, one on population growth and the second on investments. Learners research a country's population over the past century and make predictions of the current...
Radford University
Saving the US from a Missile Crisis
Mathematically shoot down an incoming missile. Given information about the Cuban Missile Crises, learners calculate the equation of the trajectory of an imaginary missile launched from Cuba toward Washington, D.C. Scholars determine the...
Radford University
Modeling Quadratics Basketball Video Project
Will he make it? After watching a video of part of a basketball shot, groups create their own videos. Teams record a video of shooting a ball at a hoop and edit it to show only a portion of the shot. Group members determine the equation...
Radford University
Connecting Scatter Plots and Correlation Coefficients Activity
Collect a variety of bivariate data. Groups determine sets of data that would provide a positive, negative, and no correlation. Team members gather their data through out the week. Scholars plot the data and determine the relationship...
Radford University
Snappy Stair Sprints
Let's go for a run. Small groups determine a way to collect data to determine the time it would take to run a set of stairs. After creating a plan, teams collect data and graph their results, calculating the equation of best fit and...
Radford University
At the Gas Pump
Given the price of crude oil, gasoline, and diesel for the past several years, pupils plot the data to determine whether a correlation exists. Learners determine a regression line and predict the price of gasoline and diesel in the...
Radford University
Box-and-Whisker Activity
Think inside the box. Working in small groups, pupils design a study to answer comparing two data sets. Team members collect data and construct box-and-whisker plots and analyze them to prove or disprove their hypothesis. They develop...
Radford University
The Normal Distribution Activity
For whom does the bell fit? Pupils begin by working in groups gather data on three different variables. They then determine the mean and standard deviation of each data set and create bell curves. To finish, they answer guiding questions...
Radford University
Are We Normal?
Develop a sense of normal. Learners develop two questions to ask classmates to gather numerical data before creating a box and whisker plot and a histogram to display their data. Class members make inferences and investigate the data...
Radford University
I Want to Rock!
Find the best deal on music. Small groups create playlists of music and determine the cost based on different pricing structures. They determine whether the pricing structure represents a direct or inverse variation relationship by...
Radford University
Tuition Cost Activity
Can I afford to go to college? Small groups design a method to research college tuition for several years and make a prediction of costs in 2025. Classmates plot the the data on a scatter plot and graph the line of best fit to make their...
Radford University
Can I Create a Line/Curve of Best Fit to Model Water Drainage?
Learners collect data on the amount of water left in a bottle over time. They graph the data to determine whether the scatter plot shows a curved or straight relationship. Group members then determine an equation for the curve of best...
Radford University
What is My Standing Height Wise?
Given a scenario in which a class member wants to prove his height is not an outlier, pairs devise a plan and gather evidence to help support his claim. The small groups implement their plans and create graphical displays of their data...
Radford University
Picturing Lines
Slopes are everywhere—even in houses! Given a picture of a house, learners find lines with positive, negative, zero, and no slopes. Scholars determine the equation of the lines by calculating the slopes and y-intercepts. Class members...
Radford University
Pizza, Pizza!
Ponder the problem of pizza prices. Pupils use provided information about two different pricing schedules for pizza. They create tables of values and functions to represent the pricing schemes, consider domain restrictions, and identify...
Radford University
Regression Analysis Activity
Don't let your knowledge of regression analysis regress. Pupils take part in three activities to learn about regression curves. They research and collect data to predict how long it will take a basketball to hit the ground, find a...
Radford University
Green Cravings
Build up a bag of green. Pupils determine the number of green Skittles in a snack bag and come up with a way to determine how many snack bags it would take to create one bag of only green Skittles. Classmates share their methods and...
Radford University
Surface Area of Boxes
Explore surface area out of the box. Pairs investigate surface area by measuring two boxes and calculating the area of each side. Classmates trace one of the boxes onto butcher paper and create a net with the same area. Groups then...
Radford University
Alpaca Lunch
Feed the need for knowledge. Future mathematicians first consider how the lateral area of a rectangular prism relates to its volume. They then design a container for alpaca food that has the maximum volume possible from a given sheet of...
Radford University
Confetti Task
Using the net of a can, learners develop formulas for the surface area and volume of a cylinder. They then apply their formulas to solve problems about a cylindrical container used to disperse confetti.
Radford University
Sand Castle
Don't let the task slip through your fingers like sand. Scholars design sand castles using hemispheres, pyramids, cones, and cylinders of different sizes. They calculate the volume and surface area and consider how changing the...
Radford University
How Do I Design a Raised Bed Garden to Accommodate My Plants?
Give plants the best place to grow. Given constraints on plant spacing, pupils design a raised bed garden using graph paper, then calculate the perimeter, surface area, and volume. They use the provided costs of lumber and soil to...
Radford University
Coal Silo Design Task
The coal is mined. Now what? Scholars design a coal silo that stores mined earth using at least two different three-dimensional shapes. They calculate the volume, determine the amount of mined earth produced in a day, and find the amount...