For this three-dimensional graphing worksheet students identify the coordinates of the vertex of shown figures. The first three shapes show all answers. The following 8 shapes are on coordinate dot paper, with all three axis shown and...

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...

In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...

In this area instructional activity, students use integration to derive the equation for the area and volume of given three-dimensional figures. They determine the area of regions inside graphs, and evaluate integrals. This one-page...

A collection of two lessons, kindergartners will identify two-dimensional shapes in solid shapes. They will develop basic knowledge of the components that make up a sphere, rectangular prism, pyramid, cylinder, cone, and cube. Young...

In this transformations worksheet, pupils draw the transformations of the triangles and parallelograms in graphs. They complete four drawings.

In this AC phase worksheet, students answer 24 questions about AC and DC voltages, phasor diagrams, sine wave graphs and Lissajous figures.

In this volume and area instructional activity, students find the volume and area of three-dimensional figures. They consider regions bounded by graphs, use integration to derive a formula, and use the disc and shell methods for volume....

In this function activity, students determine the equation of a line, compute slope and concavity of a graph, and find the maximum volume of three-dimensional figures. This one-page activity contains six multi-step problems.

Make the connection between the distance formula and the equation of a circle. The teacher presents a activity on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...

Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...

Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...

In this permutations worksheet, 6th graders solve and complete 5 different types of problems. First, they write a simple conceptual art plan with no more than 3 instructions. Then, students use graph paper and a pencil to draw a plan....

Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on...

Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...

Dilations from the origin have a multiplicative effect on the coordinates of a point. Pupils use the method of finding the image of a point on a ray after a dilation to find a short cut. Classmates determine the short cut of being...