Teach Engineering
Build the Biggest Box
Boxing takes on a whole new meaning! The second installment of the three-part series has groups create lidless boxes from construction paper that can hold the most rice. After testing out their constructions, they build a new box....
DiscoverE
Spaceship to Mars
Feel like a rocket scientist for the day. Using only paper and tape, scholars create a framework for a spaceship to Mars. Each sheet of paper costs $10 million and each piece of tape costs $100,000. Make sure you stay within budget!
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the class...
Noyce Foundation
Part and Whole
Now you'll never have trouble cutting a cake evenly again. Here is a set of five problems all about partitioning shapes into a given number of pieces and identifying the fractional amount of each piece. As learners progress through the...
Noyce Foundation
What's Your Angle?
Math can be a work of art! Reach your artistic pupils as they explore angle measures. A creative set of five problems of varying levels has young learners study interior and exterior angle measures of polygons. The introductory levels...
Teach Engineering
Connect the Dots: Isometric Drawing and Coded Plans
Individuals discover how to draw cubes on triangle-dot paper. They use cubes to build structures and draw corresponding isometric drawings on dot paper in the second lesson of the series of five. The activity also introduces the concept...
Teach Engineering
Seeing All Sides: Orthographic Drawing
How can your draw three-dimensional figures on paper? The lesson shows pupils how to draw orthographic projections of three-dimensional figures composed of cubes. After viewing a PowerPoint presentation, they practice this skill with...
Noyce Foundation
Cubism
If cubism were a religion, would you follow it? Lower-level tasks focus primarily on counting the number cubes in a structure and relating the number to surface area. As learners progress to higher-level tasks, isometric drawings and...
Noyce Foundation
Fractured Numbers
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the abstract...
Curated OER
Math Challenges
Students participate in a series of challenging math lessons designed to engage their critical thinking skills. In these real-world problem solving lessons, student solve symmetry and repeated pattern problems, make lists/tables to...
Curated OER
Math Challenges
Students engage their critical thinking skills to solve challenging math problems. In these problem solving lessons, student work with tessellations, weights/measurement, reasoning, surface area, geometric shapes, and algebraic procedures.
American Museum of Natural History
Piecing It All Together
Archaeology digs are much like giant jigsaw puzzles. The artifacts found are often in pieces and scientists must reconstruct them. A hands-on activity lets young archaeologists experience this facet of the job as they create, smash, and...
Curated OER
Congruent Rectangles
Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.
Illustrative Mathematics
Kitchen Floor Tiles
An interesting way to look at the kitchen floor is to count the number of tiles in the border. Fred starts with four white floor tiles and writes an expression for the number of tiles needed for the colored border. Algebra learners are...
Teach Engineering
Stay in Shape
Using their knowledge of right triangles, pupils find out how far a ship is from a light house. Class members determine how far around the world a ship would be sailing at a constant speed.
Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and stations....
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