Curated OER
Reflecting a Rectangle Over a Diagonal
Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.
Curated OER
Symmetry In Nature
Students investigate the symmetry that is found in nature. They view shapes and patterns in nature while looking at images. Students look for tessellations while obtaining photographs with a digital camera. The information is used for...
EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects them...
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.
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 slides and...
Curated OER
Transformational Geometry Using the Geometer's Sketchpad
Young scholars 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...
Curated OER
Transformations
Several practice exercises suitable for any geometry class working on transformation, symmetry, and tessellation -- especially visual representations of image translation, rotation, and reflection, symmetry, tessellations and tangrams --...
Curated OER
Transformations Using the Geometer's Sketchpad
Learners discover rules for single transformations, rules for composition of transformations, when a figure has transformation symmetry, and if a transformation is congruent to its preimage.
Curated OER
Punch Patterns
Fifth graders duplicate patterns, guess pattern results and identify the symmetries created. They are given an instructional handout, 5th graders replicate the patterns demonstrated by folding the paper and punching the appropriate...
Curated OER
Design Explorations: Frieze Patterns
Learners will explore frieze patterns. A frieze pattern is a mathematical concept to classify designs on two-dimensional surfaces, which are repetitive in one direction, based on the symmetries in the pattern. They will explore examples...
Curated OER
Transformation
Third graders investigate symmetry by reflecting objects in different angles. In this geometrical transformation lesson, 3rd graders define the terms translation, rotation and reflection in order to physically turn geometric...
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
Logo Licenses
Third graders find all the lines of reflection symmetry in a given shape, identify the order of rotational symmetry of a given shape. They create designs which have reflection symmetry, rotational symmetry (orders 2, 3, 4, 6) and...
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
Fold and Cut
Second graders explore line symmetry and the names and attributes of two-dimensional mathematical shapes. They study the context by folding and cutting out shapes to make a series of mathematical shapes.
Curated OER
Pattern Matching
First graders examine how to determine the lines of symmetry in pictures, shapes, and patterns by completing the lessons in this unit. They make patterns that show a line of symmetry and describe it using their own language.
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
Geo Jammin' By DeSign - Day 3, Lesson 15: The Quiltmaker's Gift
Students listen to a read aloud of The Quiltmaker's Gift by Jeff Brumbeau finding examples of symmetry in the illustrations in the book.
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
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
Tantalizing Tangrams: What Are Transformations?
Students use the Internet to learn about transformations and tessellations. In this geometry lesson, students use the Internet to define the meaning of reflections, translations, rotations, glide reflection and symmetry. Students...
Curated OER
Geo Jammin' By DeSign - Day 1, Lesson 1: Math in Motion
Second graders, through large screen monitor, study geometric design. They participate in a diagnostic assessment in which they use pnecils, scissors and paste.
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.
Curated OER
Fractal and the Dragon Curve
Students explore Fractal designs. In this geometry lesson, students observe the different polygons created in nature and relate it to math. They define polygons on planes and rotate polygons about a point.