Learners construct their understanding of measurement and dimensions in this step-by-step approach that begins with an all group vocabulary introduction, consisting of measuring objects and dialoging using measurement vocabulary....

Given a box of certain dimensions, young mathematicians must determine if a box that is twice as big, actually holds twice as much. This is a brain-teaser of a problem. The worksheet provides a handy table that has learners calculate the...

Discover different dimensions with paper folding. Pupils first read about zero, one, two, and three dimensions, and then learn about the fourth dimension, time. They then use origami to create models of shapes in three dimensions and use...

Do flexible circuits change dimensions during fabrication? Groups use GeoGebra software to measure the length of pictures of flexible nano-circuits. To determine if the circuits change dimensions, future engineers use Microsoft...

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...

Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...

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. 

That would make a lot of cans! Learners analyze a photo of a truckload of aluminum to determine its value. The provided information includes the weight of a smaller block and the dimensions of the larger block. It's up to your...

Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...

Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.

As the saying goes, a penny saved is a penny earned. Young scholars use a penny activity to earn their way to an understanding of volume. Given three different-sized cylindrical containers, individuals make calculations to determine the...

Provide your class some practice with the dimensions of geometric figures. Here you have a set of three different-shaped, stemmed drinking glasses with diameters and heights provided. Math-minded individuals calculate the volume of each....

Bothered by a wobbly table? Learn how to fix this problem using concepts of slope and continuity. Pupils first consider the problem in two dimensions and then progress to three dimensions. The solution is really quite simple.

What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...

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...

How many cups does it take to reach the top? Learners attempt to answer this through a series of questions. They collect dimension information and apply it to creating a function. The lesson encourages various solution methods and...

Time doesn't fly when you're watching a snail cross a sidewalk. Combining the concepts of the Pythagorean Theorem and the distance, rate, and time formula, learners determine how long it takes a snail to go from one corner of a sidewalk...

Do the math before you do something crazy—like filling a pool full of Coca-Cola. A video shows a pool owner filling a large backyard pool with bottles of Coke. Scholars use the dimensions of the pool to determine the number of bottles...

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...

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.

Second graders take a field trip to a nearby church or other historical building and examine it from a mathematical perspective. In groups, they calculate the seating capacity, describe the window patterns, differentiate types of...

The volume of a fish tank is a rather important measure when it comes to building an aquarium for different species of fish. In this problem, your kids look at how many different ways they can make a fish tank of a specific volume,...

A complex question looking for the total cost of a stained glass window by calculating area and circumference of a circle. With detailed components, this activity will challenge your designers to figure out if they have enough money to...

Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a...