Math by Design
Transformations – Reflections
Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...
Curated OER
Proof of the Pythagorean Theorem Using Transformations
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
Curated OER
Escher-Esque Tessellations
Middle and high schoolers participate in a seven-part lesson plan creating Escher-Esque tessellations. They demonstrate their knowledge of geometric transformations after viewing a PowerPoint presentation, conducting Internet research,...
Curated OER
Dilations in the Plane
Tenth graders investigate dilations and explore the dilation transformation before investigating the properties of a dilation using Cabri Jr. Young scholars extend the concept of dilatation to the coordinate plane.
Radford University
Tiling a Kitchen Floor
Cover the floor with math. Pupils work to determine the proper shape to cover a kitchen floor. They first determine the number of tiles to purchase and configure their placement to reduce the amount of waste. Teams finish by creating a...
Concord Consortium
Twinkle, Twinkle
Take a look at a star resource. Young mathematicians use a graphing calculator to draw intersecting lines that look like a star. They then apply translations to move the entire star and also consider what transformations must occur to...
Shodor Education Foundation
Multi-Function Data Flyer
Explore different types of functions using an interactive lesson. Learners enter functions and view the accompanying graphs. They can choose to show key features or adjust the scale of the graph.
EngageNY
The Hunt for Better Notation
The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix...
Mathematics Vision Project
Structures of Expressions
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Curated OER
Dihedral Figures
Middle and high schoolers perform transformations. In this web based lesson, students explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
Curated OER
Similarity and Dilations - Discover Properties of Similar Figures
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
Curated OER
Symmetry Worksheet
This resource offers a series of hands-on activities in which learners sketch and construct symmetrical origami, paper dolls, snowflakes, and polyhedra while adhering to specific requirements. These activities ask class members to...
Curated OER
Transformations
For any study of upper-level geometry, this presentation could be of good use. It defines three important concepts: transformation, reflection, and rotation. Although brief, this presentation could easily be used in tandem with problems...
Curated OER
Rotations
Use this math worksheet to have your learners practice constructing a reflection of a shape drawn on a grid by using rotation. This simple worksheet has six problems for the pupils to solve, and includes and answer sheet.
Curated OER
Geometry: Transformations Practice
Graph transformations, write rules to describe transformations, find coordinates of vertices after given transformations: geometers practice these skills on a two-page worksheet in 14 problems. No answers are provided.
Curated OER
Reflection
In this math worksheet, students practice their skills in constructing reflections of shapes that are on a grid. This worksheet has 13 problems for the students to solve, and includes an answer sheet.
Curated OER
Reflection with a Graphing Calculator
For this transformation worksheet, students reflect a triangle using the list function of a graphing calculator. There are 15 questions.
Curated OER
Conics in Geometry
High schoolers analyze characteristics and properties of two and three-dimensional shapes in this geometry lesson. They follow detailed directions to use the Cabri Geometry II Application on their TI-89 calculator to construct a...
Texas Instruments
Transformational Puppet
High Schoolers create a puppet and make predictions using the TI Navigator. For this math lesson, they will discuss their results as they explore transformation. This assignment requires the TI navigator or a smartboard.
Curated OER
Reflections in the Plane
Have your class explore the concept of reflections as they use Cabri Jr. to construct a triangle and reflect it over a line. Learners reflect shapes across the coordinate plane and across the lines y = x and y = -x.
Curated OER
Rotations in the Plane
Pupils investigate the properties of a rotation as they use technology (Cabri, Jr.) to observe the relationship between the pre-image and the image formed by the rotation. The lesson provides ample opportunity for learners to conjecture...
Curated OER
Transformations and Exponential Functions
Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
Curated OER
Problem-Solving Strategy: Find a Pattern
In this tessellations worksheet, learners solve 2 word problems where they use the "make a pattern strategy" to form tessellations from geometric shapes. There is scaffolding for the problem solving strategy.
Curated OER
What do two-dimensional tessellations look like? Where in art can they be found?
Learners 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...