Curated OER
Diagonals to Quadrilaterals II
Students identify the properties of different polygons. For this geometry lesson, students find the slope of a line and calculate the distance between two lines. They differentiate between similar and congruent polygons.
Curated OER
Math: Shapes and More Shapes
Students locate lines of symmetry in regular polygons and predict the number of lines of symmetry in an octagon. In three different polygons, they construct all lines of symmetry and after making their prediction about the octagon,...
Illustrative Mathematics
Right Triangles Inscribed in Circles I
One of the basic properties of inscribed angles gets a triangle proof treatment in a short but detailed exercise. Leading directions take the learner through identifying characteristics of a circle and how they relate to angles and...
Concord Consortium
Rectangulating
Use rectangles to find distances. Given a rectangle and three associated triangles, pupils determine the area of the triangles. Scholars know the three triangles have equal areas along with the perimeter of the rectangle and two other...
Radford University
Triangles in Parallelograms
What's the point of looking at triangles when trying to draw parallelograms? Given three non-collinear points, pupils determine and justify all possible points that would create a parallelogram. They then analyze the four triangles that...
Curated OER
Quilt Geometry
Seventh graders explore lines of symmetry, congruent polygons and patterns. They listen to "The Seasons Sewn," observe a PowerPoint presentation, and identify congruent polygons and visual patterns. Through an internet activity, 7th...
Curated OER
Transformations
In this transformations worksheet, pupils draw the transformations of the triangles and parallelograms in graphs. They complete four drawings.
Curated OER
As the Bird Flies
Students investigate the properties of lines and congruent triangle theorems as well as apply geometric properties and relationships to real-world mathematical problems. Given two different scenarios, they examine maps that have been...
Curated OER
Pysanky: Not Just a Pretty Egg
Students examine the art of Pysanky. Using the Internet, they identify the cultural similarities and differences between the United States and the Ukraine. Using Pysanky's art, they discover the symbolism he used in his artwork and...
Curated OER
SuperShapes, Part 1; "Tri"ing Triangles
An outstanding lesson on triangles awaits your math scholars. Learners focus on the triangle, which is the strongest of all polygons. They see the role that triangles play in the design of buildings, and learn about triangle...
Curated OER
What do two-dimensional tessellations look like? Where in art can they be found?
Students explore the world of art and culture, including the works of M.C. Escher. They identify and create original tessellations. Students use a wealth of interactive multimedia applications. They explore the artistic representations...
Curated OER
Triangle Inequality Theorem
Learners use the inequality theorem to solve triangles and their properties. In this geometry lesson, students are given spaghetti of different lengths and asked to create triangles. They conclude the necessary length needed to make a...
Curated OER
Friendship Quilt
Third graders name different kinds of shapes and then discuss what they know about them an what they would like to learn using a K-W-L chart whole group. They listen to the book, THE GREEDY TRIANGLE and then retell it to the class. They...
Curated OER
Snowflake Curve
Students develop an appreciation for complex structures in nature. They observe patterns in nature in relationship to the Real World. Students use observation skills to assist in problem solving. They show comprehension of the concepts...
Curated OER
Proofs
In this proofs worksheet, 10th graders solve and graph 8 different equations. First, they prove that each triangle is either congruent or similar. Then, students use the concept of corresponding parts of congruent triangles to solve each...
Curated OER
Reflections
Fifth graders create a reflection of a poygon using a Mira. They discover that a line connecting a vertiex of a polygon and the corresponding vertex of its reflection is perpendicular to the line of reflection. Students create a glide...
Curated OER
Seeing Double
Learners develop an intuitive definition for symmetry after viewing a PBS video. They examine asymmetrical patterns and demonstrate their knowledge by changing them to symmytrical.
Curated OER
Translations, Reflections, and Rotations
Learners are introduced to the concepts of translation, reflection, and rotation. They practice translating, reflecting, and rotating two-dimensional objects on the coordinate plane. students use computers to learn about the three concepts.
Curated OER
Tessellations: Geometry and Symmetry
Students examine tesselllations and their geometric properties. They have a better knowledge of polygons, can identify types of symmetry in tessellations. Also students use visulization, spatial reasoning, and geometric modeling to...
Curated OER
Segment and Distance
Pupils explore the definitions of segment and distance. They perform hands-on activities to form a segment and examine distance. Following teacher guidance, they construct congruent line segments. Independently, they find the distance...
Curated OER
Introduction to Fractals: Geometric Fractals
Middle schoolers study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Middle schoolers complete worksheets based on...
Curated OER
Alternate Interior Angles
Label angles of parallel lines to analyze the angles created by a transversal and two parallel lines. They graph their lines and observe the similarity and difference in the angles.
Curated OER
Shapes Are Everywhere
Third graders use various shapes to identify polygons and understand symmetry. They explore pattern blocks noticing their similarities and differences, then share with other team members. They draw 3 polygons in their journals and...
Curated OER
Towers of Steel
This lesson starts with geometers discussing how to find the volume of a cone and pyramid, using what they know about the volume of a cylinder or prism. Then, using the formulas, they calculate the volume of cones and...