National Council of Teachers of Mathematics
Taking a Spin
It does not divide into 360 evenly, so it cannot work. The resource extends pupils' thinking about rotational symmetry. By asking for a figure with a rotational symmetry of a seemingly impossible angle, the activity requires learners to...
National Council of Teachers of Mathematics
Bank Shot
Bank on geometry to line up the shot. The resource asks the class to determine the location to bank a cue ball in a game of billiards. Using their knowledge, class members determine where to hit the bumper to make a shot and discuss...
National Council of Teachers of Mathematics
Over the Hill
Can you hear me from there? Pupils determine the place to build a cell tower on a hill. The class uses constraints and creates a scale drawing on a coordinate system to calculate the exact location of the base of the cell tower.
National Council of Teachers of Mathematics
Cash or Gas?
Which option provides the best payout? Pupils predict which lottery prize to take. They devise a method to calculate which prize would likely provide the greatest monetary value.
101 Questions
Hot Coffee
Your classes will be wide awake during a piping hot lesson! Introduce the resource with a video of the world-record-breaking cup of coffee. Learners work to determine the volume of the cup of coffee to predict if it will break the record.
101 Questions
File Cabinet
Take the resource out of the file cabinet. Young mathematicians estimate the number of sticky notes it would take to cover the surface area of a file cabinet. They answer a set of questions on how the number of sticky notes would change...
101 Questions
Dueling Discounts
What a bargain—an informative, free resource! Given prices of several objects, learners determine whether 20 percent off or $20 off would be a better bargain. They use the results to come up with a generalization of the situation.
101 Questions
Electric Bill
A brilliant resource is at your disposal. Future consumers investigate and discuss an electric bill. Given only partial information, they estimate the monthly bill. They then consider how tiered pricing will affect the bill.
101 Questions
100-Hand Video Poker
You hit the jackpot with a fun lesson! Peak your pupils' interest with a lesson calculating the probability of poker hands. A video shows the different types of possible hands when given a specific hand and one card to draw.
101 Questions
Trashketball
Take a shot using a lesson on volume! Young learners watch a video showing a trashcan filling with paper balls. The task is to calculate the number of paper balls that will fit in the can. Pupils use volume calculations to make a...
101 Questions
Best Circle
Drawing the perfect circle is harder than one would think! What makes a circle a circle and how can you define that with a formula? Young mathematicians devise their own methods of analyzing the imperfections of circle drawings. Using...
101 Questions
Best Square
If you're a square, be the best square you can be! Young scholars develop a formula to determine the four points that make the best square that considers the area, perimeter, and other dimensions. They use their formulas to rank attempts...
101 Questions
Best Triangle
What makes an equilateral triangle equilateral? It turns out it's much more than just the side lengths! Learners analyze four different triangles to determine the best equilateral triangle. They create a formula that they later use to...
101 Questions
Water Tank Filling
Grab your classes' attention with a video presentation of a problem to solve. Young scholars develop a plan to predict the time it takes to fill a tank with water. Video footage provides the statistics they need to make their conclusions.
101 Questions
You Pour, I Choose
Tall and skinny or short and stout, which glass hold the most liquid? Learners analyze dimensions of cylindrical glasses to determine the one holding the greatest amount of liquid. They brainstorm the relevant dimensions before making...
101 Questions
Red Carpet
Roll out the red carpet for an exemplary lesson. Using the dimensions of a rolled piece of carpet, learners calculate the dimensions of the flat sample. Pictures provide individuals with the information they need to make a valid conclusion.
101 Questions
Best Midpoint
Develop a strong understanding of what it means to be a midpoint. Learners analyze the angles, coordinates, and lengths of segments and their approximated midpoints. They use their analyses to develop a formula to rank four attempts at...
101 Questions
Pixel Pattern
Any vintage video game users in the room? Young scholars use a video presentation to analyze patterns in pixel arrangements. By writing an arithmetic sequence, they make predictions about the size of the image.
101 Questions
Apple Mothership
Explore Apple's spaceship office building. Built in the shape of a circle, the office building offers a unique floor plan challenge. Young scholars use the dimensions of the building to estimate the square footage for each employee.
101 Questions
Super Stairs
Keep your classes climbing in the right direction. Young mathematicians collect data from a video presentation. Using their data, they build an arithmetic sequence and use it to make predictions.
101 Questions
Circle-Square
How do the area and perimeters of circles and squares compare? A clever video illustrates the change in the area of a circle and square while their total perimeter stays the same. The task is for learners to predict the point where the...
101 Questions
Domino Skyscraper
Can a domino knock over a skyscraper? An inquiry-based lesson asks learners to calculate the size of domino needed to topple the Empire State Building. Using specific criteria and a geometric model, they find a solution.
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.
101 Questions
Toilet Paper Roll
You won't want to flush a great lesson down the drain! An intriguing resource asks learners to predict the number of sheets of toilet paper on a roll. Presented with the dimensions of the roll and one sheet of paper, scholars make...
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