Pennsylvania Department of Education
Tetrominoes and Translations
Young scholars explore geometry by participating in a pattern identification activity. In this tetrominoes lesson, students define the characteristics of congruent and symmetrical shapes. Young scholars practice translating shapes across...
Illustrative Mathematics
Reflections and Isosceles Triangles
Geometers explore symmetries of isosceles triangles by using rigid transformations of the plane. They complete four tasks, including congruence proofs, which illustrate the relationship between congruence and rigid transformations. The...
Curated OER
Principles of Flight: Flying Paper Airplanes
Students investigate ways to enhance an object's flying ability. In this model construction lesson, students construct two paper airplanes, one of which is twice as big as the first. Students compare and contrast the two separate...
Curated OER
Shapes Are Everywhere
Third graders explore pattern blocks noticing their similarities and differences and share their observations with others. They classify shapes by discussing sides and angles and combine pieces to make new shapes.
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
Reflections
Tenth graders perform reflections on different geometric shapes. In this geometry worksheet,students define the concept of geometric reflections and find the coordinates of the reflection on a coordinate grid.
Curated OER
Constructing Perpendicular Bisectors
Tenth graders investigate parallel lines and the angles formed when cut by a transversal. In this geometry lesson plan, 10th graders construct perpendicular lines and discuss midpoint, segments and perpendicular bisectors. They relate...
Curated OER
The Dragon Curve Fractal
Students identify the properties of a dragon curve. In this geometry instructional activity, students identify sequences and patterns as they solve fractals. They investigate patterns found in nature.
Curated OER
Investigating Pythagorean Triples
Students investigate and solve Pythagorean triples. In this geometry lesson plan, students find the missing sides and angles of a right triangle. They graph right triangles and move the sides around to create different angles.
Curated OER
Investigating the Pythagorean Triples
Students investigate the Pythagorean triples. In this geometry instructional activity, students solve for different parts of a right triangle. They identify the missing side or angle using the pythagorean theorem.
Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Curated OER
In The Garden
Students examine symmetry and transformation concepts. They create patterns that translate, reflect and rotate. Students participate in a variety of activities that explore transformation concepts through the context of a garden.
Curated OER
"Geotown" Scrapbook
Students create a scrapbook. In this geometry lesson, students use digital cameras to take pictures of geometrical concepts. Students use the pictures to create a "Geotown" scrapbook.
Curated OER
Math is Beautiful
Pupils explore how geometry is used on the composition of artworks by artists from different cultures. This lesson is equally suited for a Math or Art classroom at the late-elementary or early-middle school level.
Curated OER
Translations, Reflections, and Rotations
Students 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
Creating Tessellations
Third graders explore the history of tessellations; then use art and geometry to create an original tessellation.
Curated OER
Geometric Transformations
Students solve problems involving transformations of geometric figures. They review graphing points in the coordinate plain, plot points and connect to create a triangle. Then, they reflect triangles over the x and y axis and use...
Curated OER
Origami Frogs
Ninth graders explore a variety of geometry and science concept while making an origami frog. The fold paper into the shape of a frog and conduct measurement activities including frog leaps.
Curated OER
Reflections over Two Lines & Dilations
Students create reflections over two lines. In this reflections worksheet, students compare and contrast reflections over parallel and intersecting lines. They dilate figures and investigate the effect of the dilation using measurement...
Curated OER
Conic Sections and Locii
Students differentiate between ellipse and hyperbola. In this algebra instructional activity, students graph and solve elliptical equations. They use the cabri program to create the different conics and move them around.
Dick Blick Art Materials
Start with a Circle...
The Golden Ratio. The Divine Proportion. Yup. It's math and art blended into one colorful activity. Young artists combine colored tissue paper circles and parts of circles to create geometric patterns. As a bonus, kids get to figure out...
Shodor Education Foundation
Visual Patterns in Tessellations
Geometers explore the concept of tessellations. They use a tessellation applet to manipulate shapes and design their own tessellation using the applet.
Curated OER
Marshmallow Figures
Students enjoy making 3-D figures while learning about rectangular prisms, pyramids, vertices, edges, and faces. After a lecture/demo, students use marshmallows, toothpicks and a worksheet imbedded in this lesson plan to create 3...
Curated OER
Slides, Flips. Turns......It's All On A Memory Book Page
Fourth graders use tangram sets to investigate the congruence of shapes. They use congruent shapes to demonstrate the properties of slides, flips, and turns. They complete a math journal entry that describes and illustrates each concept.