This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...

Students solve pentomino puzzles.  In this problem solving lesson, students discuss how pentomino puzzles play into the plot of Chasing Vermeer by Blue Balliett and practice solving a pentomino puzzle on their own....

After learning that the sum of interior angles for triangles is 108 degrees, take it further to show that the sum of angles in any polygon is the same! Using hexagons, pupils practice finding the measure of the six congruent angles. Make...

Linear, quadratic, and exponential functions are represented only by their table of values in this simple, well-written worksheet. Learners decide the type of graph represented based on the differences in the function values....

Students explore tessellations. For this shapes and geometry lesson, students describe the attributes of many of the shapes displayed on an Elmo. Students create examples of tessellations using pattern blocks.

In this patterns worksheet, 6th graders identify and complete 12 different problems that include patterns of various shapes and pictures. First, they analyze the pattern seen in each problem. Then, students determine what comes next...

This geometric pattern will appeal to learners' artistic sides as they color various shapes based on a guide: they color circles blue, triangles red, squares green, and rectangles yellow. What does this finished design remind scholars...

One is chance, two is a coincidence, three's a pattern. Scholars must determine similarities and differences of a regular hexagon undergoing dilation. They look at lengths, angles, areas, and symmetry.

In a two-part worksheet, young geometers examine 3-D shapes and describe their attributes in a table. They will be able to draw the shape and name the number of vertices, faces, and edges. In the second part, individuals explore...

Ask elementary students to explore shapes in everyday objects. They will discuss the elements of design and describe the shapes they see in visual images. Students will then design and "build" a new 3D shape. Finally they will show and...

2, 4, 6, 8. What comes next? This reading comprehension learning exercise discusses patterns and extending patterns. After reading the short article, kids answer a series of questions to demonstrate their understanding of the passage.

How do you get a theorem named after you? Euler knows what it takes! The third lesson of five asks pupils to use an interactive activity to compare the faces, vertices, and edges of seven different three-dimensional solids. They use...

Poetry comes in all shapes and sizes. Young writers pick a shape, select words and phrases that describe how the shape makes them feel, and create a shape poem. A raindrop example and step-by-step instructions give your...

Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...

In this pattern completion worksheet, students observe groups of six patterns and add the final two patterns. Students complete five sets of patterns.

In this pattern completion instructional activity, students analyze groups of patterns and draw the final patterns. Students complete three sets of patterns.

First graders explore patterns in mathematical context. In this patterns instructional activity, 1st graders inspect patterns shown to them, copy patterns, complete patterns and create patterns of their own. These patterns are shown by...

For this identifying sets of shapes worksheet, learners observe eight sets of three shapes and search for them in horizontal or vertical patterns in a grid. Students find 8 sets.

Young scholars analyze how repeated body movements and shapes can represent and extend patterns. In this pattern analysis lesson, students discuss patterns in dance, math, and everyday living. Young scholars demonstrate a dance using a...

Define and identify the three basic forms of symmetry translation, rotation, and glides with your class. They cut out and arrange paper pattern blocks to illustrate symmetry, create a Cartesian graph, and design a rug with a symmetrical...

Get creative while exploring the art and history of the ancient Greeks. Learners create construction paper representations of Greek pottery, focusing on the differences between geometric and organic shapes. This project could enhance an...

Kindergartners listen to a story read by their teacher, then use magnetic shape pieces to construct simple designes. They "build" their own house using pre-cut paper shapes. This age-appropriate lesson would be an excellent choice for...

How does the number of sides of a polygon affect the angle measures? Learners recognize a pattern in finding the total measure of interior and exterior angles and the number of diagonals. They use the patterns to calculate...

Use patterns to your advantage! The Pythagorean Theorem allows learners to find missing sides of right triangles. Problems include those with both rational and irrational lengths.