In this Earth dimensions worksheet, students define 24 terms associated with contour maps, latitude, longitude, and time zones.

Students analyze tessellations.  In this geometry lesson, students discover which shapes can or cannot be used to create a tessellation.  Students watch a video, then create their own tessellations.

Investigate vectors and learn how to use them. Explore why size and direction, as well as knowing speed and distance, are important components of the vector problems you are trying to solve. This is an extensive lesson which includes six...

Pupils demonstrate their understanding of nets by designing a net of a box that contains 12 bottles. Given the full size top and side views of the bottle, they determine the dimensions needed for the finished box. The directions do...

Allow learners to design their own strategies to solve a problem. Given dimensions of a glass and a smaller marble, scholars must find the dimensions of a larger marble. The answer key suggests using the Pythagorean Theorem, but multiple...

Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...

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.

Don't be fooled: the taller glass doesn't always hold the most. Given the dimensions of different cylindrical containers for beverages and popcorn, pupils calculate the volumes. They see how changing the dimensions affects the volume and...

Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...

See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...

Is your class in another dimension with regards to dimensional analysis? Give them some extra practice with a straightforward activity. Learners convert units by following concise step-wise examples, including setting up the...

Imagine drawing with zeros and ones. The third instructional activity in a unit of 15 introduces the class to creating black and white images. Pairs get together to create an encoding scheme in order to make these images. They...

How many right triangles can you find in a prism, cone, or pyramid? Using right triangles to find lengths in three-dimensional figures is the focus of the lesson. After working with the Pythagorean Theorem to find missing side...

How much can different shapes hold? The answer varies depending on the shape and dimensions. Individuals learn the formulas for the volume of a sphere, cone, and cylinder. They apply the formulas to find the volume of these...

Sew up pupil interest with an engaging, hands-on lesson. Learners first design a sports bag given constraints on the dimensions of fabric. They then evaluate provided sample responses to identify strengths and weaknesses of included...

Don't stuff money under your mattress. To find out why learners first complete a task determining how $24,000 in cash would affect the height of a mattress and whether this same amount would fit into a suitcase of given dimensions....

High schoolers attempt an assessment task requiring them to find the radii of inscribed and circumscribed circles of a right triangle with given dimensions. They then evaluate provided sample responses to consider how to improve...

Math: The only subject where the solution to a problem is seven million matches. Young scholars first complete an assessment task estimating the number of matches they can make from a tree of given dimensions. They then evaluate provided...

How many matchsticks can be made from a single tree? That is the problem facing middle schoolers. Scholars first determine the volume of a matchstick given its dimensions, and then use this information to estimate the number of...

Picture your pupils using this assessment task. Class members must first determine the measurements of smaller copies of photographs placed next to the original. They then determine the dimensions of the entire sheet of photographs.

Time to move into the third dimension! Learn the names of the geometric solids and count faces, edges, and vertices. Then learn to recognize nets that create a given solid. 

Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to...

Could you carry a million dollars in $1 bills? As a middle school assessment task, learners investigate different questions regarding a million dollars. They then determine how long it would take to make a million dollars, how...