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
Seven Circles II
Your learners find as many rigid motions of the plane as they can that are symmetries of the configuration of circles. Rigid transformations of the plane are explored and become more concrete to them as they visualize and execute these...
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...
Exploratorium
Cut-Fold-Staple
Here is an interesting activity that combines paper folding art and geometry. In it, learners have a stack of index cards that are bound together. They draw a shape on it, and cut out the shape. When they unfold their shape, they have...
Curated OER
Painting Package
Students use tools in a painting package to design tiles and create repeating patterns. They design a single tile using a 4 x 4 grid and experiment with changing the alignment of some of the tiles by rotating different areas.
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 idea that the...
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
Clay Tile: Art Deco Style
Students analyze and classify sets of pictures using a mathematical classification system and create original works of Art Deco tiles using this new knowledge and four types of symmetry.
Curated OER
Geometry Journal: Isosceles Triangles
In this isosceles triangles worksheet, students justify and determine the symmetry of an isosceles triangle. They explore the bisector of rectangles. This three-page worksheet contains two problems. Answers are listed on page three.
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
Students demonstrate similarities and differences in animal forms, including humans.They investigate geometric relationships within those forms by building an animal using Zome System elements.
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
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
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
Gardens Under the Sea: Coral Reefs
Students, with dive partners, explore coral reefs through scuba diving. They also explore radial symmetry and bilateral symmetry.
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...
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...
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...
Virginia Department of Education
Quadratic Modeling
Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....
Curated OER
Introduction to Unit V-Transformations
Pupils investigate transformations. In this Algebra I/Geometry lesson, students explore reflections, translations, rotations and dilations. The lesson includes examples of transformations in art, architecture, and nature.
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 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.
Curated OER
Transformers
Students use transformation to move the graph around. In this geometry lesson, students observe transformation of symmetry groups. They use the TI to move the sides of the polygons around and make predictions.
Curated OER
Let the Matrix Do It
Young scholars 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...
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