In this activity Using the USATODAY infograph, "Ballooning inside the box", students will explore geometric relationships using similar triangles. Identifying triangles with two pairs of congruent angles to explore similarity properties...

Learn about several three-dimensional geometric shapes and the terminology used to describe them. Learn how to calculate their surface area and volume, and explore their mathematical properties.

[Free Registration/Login may be required to access all resource tools.] Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for...

At early stages of understanding of geometric shapes, 4th graders describe shapes, but do not yet characterize shapes by their properties. One example of a misconception students have at this stage is that a rectangle has two short sides...

Satellites communicate with a GPS device and establish the distance between them and their locations. The set of points at a fixed distance from a satellite form a sphere so when the GPS receives its distance from a given satellite, this...

Picture a roll of toilet paper; assume that the paper in the roll is very tightly rolled. Assuming that the paper in the roll is very thin, find a relationship between the thickness of the paper, the inner and outer radii of the roll,...

About how many cells are in the human body? The purpose of this task is for students to apply the concepts of mass, volume, and density in a real-world context. Aligns with G-MG.A.2.

Who was Pythagoras and what is his theorem? Explore this concept and its relationship to the measurement of a right triangle in this test prep lesson plan. The lesson includes an interactive worksheet where students discover the answers...

In this task, students are shown circle formations where an inner circle is surrounded by a set of circles and all circles are touching. In the first situation, all circles have the same diameter. In the second, the inner circle is...

Some friends are at the beach looking out onto the ocean on a clear day and they wonder how far away the horizon is. A second problem asks how far the horizon would be from the top of a mountain. Students must also answer a question...

In this task, students investigate the volume of tennis balls and their cylindrical container, the empty space around the balls, different ways of slicing them, and what their visualizations will look like. Aligns with G-GMD.B.4 and...

Beehives are made of walls, each of the same size, enclosing small hexagonal cells where honey and pollen are stored and bees are raised. This problem examines some of the mathematical advantages of the hexagonal tiling in a beehive....

For this task, students are asked to calculate the height above sea level of a lamp on top of a lighthouse that is visible to a boat, and to examine two other interpretations of the distance from the lighthouse to the boat. Aligns with...

In this task, students are given an aluminum soda can and are simply asked how they could determine how thick the can is. Aligns with G-MG.A.1 and G-MG.A.2.

In this task, students are given the dimensions of a soda can and are asked to estimate its thickness. They must first find the surface area and the volume of aluminum. Aligns with G-MG.A.1 and G-MG.A.2.

In this task, learners investigate why total solar eclipses are rare. They will learn that, in addition to requiring the positioning of the Sun, Moon, and Earth, the Moon can only completely block out the Sun when it is closest to the...

In this task, students must estimate the number of leaves on a large tree, taking into account various complex factors such as the area shaded by the tree, the area of irregularly shaped leaves, the uneven distribution of leaves, the...

This is a mathematical modeling task aimed at making a reasonable estimate for something which is too large to count accurately, the number of leaves on a tree, taking into account the tree size and the density of the leaves. Aligns with...

The management of an ocean life museum will choose to include either Aquarium A or Aquarium B in a new exhibit. In doing this task, students discover the formula for the volume of a sphere. Aligns with G-GMD.A.2 and HSG-MG.A.1.

On this one page website sharpen your logic, spatial sense, and pattern recognition skills while working on this challenge. The solution is available to double check your solution.

The Fort, built by the Portuguese in 1593-1596 to the designs of Giovanni Battista Cairati to protect the port of Mombasa, is one of the most outstanding and well preserved examples of 16th Portuguese military fortification and a...