EngageNY
Construct and Apply a Sequence of Rigid Motions
Breaking the rules is one thing, proving it is another! Learners expand on their previous understanding of congruence and apply a mathematical definition to transformations. They perform and identify a sequence of transformations and use...
Curated OER
Introducing Tessellations
Students create tessellations to increase their knowledge of the applications of geometry. They explore the different shapes of polygons.
NTTI
Transform Your Geometry into a Work of Art
Mathematicians utilize artwork to help illustrate the major ideas of transformations and tessellations. They visually identify transformations including reflections, rotations, and translations. They discuss how artists have used...
Curated OER
Keeping in Shape
Third graders describe patterns in terms of reflection and rotation symmetry, and translations. They design and make a pattern which involves translation, reflection, or rotation. They demonstrate why a given tessellation covers the...
Curated OER
Tessellating Tiles
Second graders Make, name and describe, using their own language and the language of geometry, everyday shapes and objects. They create and talk about geometric patterns which repeat (show translation), or which have rotational or...
Curated OER
Technology Integrated Lesson
Students investigate symmetry in the real world. In this geometry lesson, students inter-relate math and technology. They create and name a variety of polygons.
Curated OER
Let the Light Shine Through!
Students display knowledge of line of symmetry by designing a geometric stained glass window pattern.
Curated OER
Fold and Cut 2
Second graders make, name, and describe, using their own language and the language of geometry, everyday shapes and objects. They create and discuss geometric patterns which repeat (show translation), or which have rotational or...
Curated OER
Geometric Collages
Fourth graders investigate the concept of geometric patterning. They create their own patterns with a few basic requirements. The patterns must illustrate the concepts of flipping, 90 and 180 degree rotations. The collages also consist...
Curated OER
Reflections and Equilateral Triangles II
Given the lines of symmetry in an equilateral triangle, your learners find where the pre-image vertices are mapped onto the new image. They explore the properties of equilateral triangles, the impact of reflections, and the...
Curated OER
Geo Jammin' By DeSign - Day 5, Lesson 25: Geo Jungle
Students search the school grounds for examples of symmetry in nature. They bring examples back to the classroom and write about them.
Curated OER
Transformation Trio
Students identify the transformation and rotation of polygons. In this geometry lesson, students use picture to perform rotation, reflection and transformation. They identify the coordinate points of the new transformation.
Curated OER
Transformational Geometry Using the Geometer's Sketchpad
Students complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a quadrilateral...
Curated OER
Math/Technology: Symmetry
Fourth graders, using KidPix, use stamps and pencil tools to illustrate which pictures have symmetry. They add text boxes to explain their answers in math terms. Students practice skills in rotation, reflection, and translation on an...
Curated OER
Mathematics in Art?
Fifth graders view prints of M.C. Escher's work. They look at examples of geometric figures and polygons and discuss places they have seen them. Students create their own tessellations. They write a report about the process they used in...
Curated OER
Animal Forms
Learners demonstrate similarities and differences in animal forms, including humans.They investigate geometric relationships within those forms by building an animal using Zome System elements.
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...
Curated OER
Transformations on the Coordinate Plane
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
Curated OER
Terrific Tessellations
Students explore tessellations that are found in nature and everyday objects. They observe the works of M.C. Escher. Students create their own tessellations using pencil and paper.
Curated OER
Tessellating Art
Fourth graders create artwork showing their own unique tessellating shapes. They apply the symmetries of a regular polygon and describe the reflection or rotational symmetry of a figure or object. They share their art work with the class.
Bowland
Pointzero: Confined
Groups plan their escape carefully. Three three-tiered puzzles help a story character escape their situation, each involving integer sequences, transformations, and geometric constructions. The teacher resource includes...
Curated OER
Geo Jammin' By DeSign - Day 5, Lesson 24: Read All About It!
Students listen to The Important Thing About Quilt Design and rewrite an original version using geometric terms.
Creative Educator
Tessellation Sensation
Geometers investigate patterns and symmetry, and examine the artwork of M.C. Escher on the Internet. They compare his style to the floor and ceiling tiles in the classroom. If you have ImageBlender™ software, you could have your...
Curated OER
Let the Matrix Do It
Students create a matrix of the vertices of a triangle and produce new matrices that dilate, translate, rotate, and reflect the original triangle. After multiplying each matrix by a new scale factor, they graph the new matrix and...