Euler's Theorem states that there is a relationship among faces (F), vertices (V), and edges (E) for every polyhedron. Discover this formula yourself by completing this activity.
One way to solve a complicated problem is to solve a smaller version of the same problem. Without working out the larger problem, predict how many sheep will get shorn before impatient Eric, who is sneaking up in line little by little.
Explore the properties of four prisms. Change the direction and speed of each prism's rotation and highlight the numbers of faces, vertices and edges for each one.
Explore the properties of four pyramids. Change the direction and speed of each pyramid's rotation and highlight the numbers of faces, vertices and edges for each one.
Explore the number line and its elements through a graphic representation of an equation. Move along the curve of the graph of xy=12 to see how the values change as you vary x or y and consider what happens for negative values of x and y.
Build rectangles that have an area of 24 square units and compile a list all possible factors of 24. Explain how you know that you have found all the possible factors.
Explore the mathematics of a ball dropped from a height of 10 feet. Collect data on the height of the ball with respect to time and plot the curve representing the data.
Observe as the students diagram the facts of the problem. They then identify and graph the relevant functions to represent the motion around a Ferris wheel.
Observe the geometric structure of numbers. Play with square and triangular figurate numbers on a graph and see the shapes that representative dot patterns can take.
Watch the net of a rectangular prism fold up into a three-dimensional object. Then calculate and add the value for each face of the prism to get the total surface area.