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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.
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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,...
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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.
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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...
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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...
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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.
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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.
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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...
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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.
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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.
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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...
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Reflections
For this math worksheet, students practice constructing reflections of shapes already present in a grid-based graph. This simple worksheet has 12 problems for the students to solve, and includes an answer sheet.
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Introduction to Unit V-Transformations
Students 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...
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Transformations And Animations in Polar Graphing
In this math worksheet, they investigate the polar graph of: r = a + b sin (t), for various values of a and b. This is called a limacon and is applied to the definition of a transformation.
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Reflection
Students examine how some transformations, such as reflections and rotations, do not change the figure itself, only its position or orientation.
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Transformations in the Coordinate Plane: Reteach
In this transformations activity, learners review the terms and example diagrams for a translation, reflection, and rotation. Students then identify the coordinates for a triangle after completing the given transformations in the four...
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Transformations in the Coordinate Plane: Practice
In this transformations worksheet, students identify the coordinates of triangle MNO after completing three translations and one reflection. Students use the triangle MNO with given coordinates to complete each transformation on the same...
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Slides, Flips and Turns
Third graders are introduced to different types of transformations. As a class, they describe how a stuffed animal slides across the floor and use themselves to demonstrate as well. Individually, they flip and turn in different...
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Motions
Ninth graders differentiate between energy waves transmitted from a quarry or mine as opposed to energy waves transmitted by an earthquake. They analyze seismograms of blast events from at least two quarries or mines. The energy waves...
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Totally Tessellations!
Eighth graders investigate the concept of tessellations and transformations. They create patterns to demonstrate and practice the skill. Students write a description of the pattern for others to interpret. The pattern is assessed...