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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 creating Escher-Esque tessellations. They demonstrate their knowledge of geometric transformations after viewing a PowerPoint presentation, conducting Internet research, and...
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Stretching the Quads
Scholars investigate transforming parabolas. In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...
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Tiling Tessellations
Young scholars explore tessellations. In this shapes and geometry lesson, students describe the attributes of many of the shapes displayed on an Elmo. Young scholars create examples of tessellations using pattern blocks.
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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. Students 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. For 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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IB Math SL 1 - Transformations and Combinations Worksheet
Study transformations and combinations with your advanced math class. They solve four graphing problems by graphing the transformations of a parent graph. They determine the equations to represent the given transformations of a parent...
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Forms of Quadratic Equations
Transformations of parabolas to fit a particular quadratic equation is taught through this lesson. For this transforming parabolas to fit a particular quadratic equation lesson, learners describe the transformations of the parabola...
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Translation of Shapes
Geometers graph figure translations, find coordinates for transformed figures, and write rules to describe transformations presented. The 2-page worksheet contains 14 problems, with answer key attached.
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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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Fishing for Points
Learners explore the concept of ordered pairs. In this ordered pairs lesson, pupils list the ordered pairs of a graph in the shape of a fish. They use their calculator to translate the fish using lists, then translate the fish left,...
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Transformations
In this transformations instructional activity, pupils draw the transformations of the triangles and parallelograms in graphs. They complete four drawings.
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Rotations
Use this math learning exercise to have your learners practice constructing a reflection of a shape drawn on a grid by using rotation. This simple learning exercise has six problems for the pupils to solve, and includes and answer sheet.
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Practice with Transformations
Students will investigate the concept of transformations using virtual manipulatives that are available on the internet. The core of the lesson is technology based. The learners will also perform the skills with the production of written...
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Castles On The Ground (2D & 3D Shapes)
Explore the relationship between 2D and 3D shapes by having your class view representation of shapes and investigate their symmetry. They will create a solid object from diagrams and describe the reflection or rotational symmetry. In the...
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Geometry Practice: Loci and Transformations
This resource guides young geometers to create new polygons from others of equal area, compare an image to its reflection and find errors, conduct repeated reflections, map translations, and determine center of rotation. No solutions are...
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Geometry Practice: Transformations, Isometries, and Tessellations
Five pages for geometry practice relating to symmetry provide mathematicians with exercises on transformations and symmetry, properties of isometries, compositions of transformations, tessellations with regular polygons, and other...
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Exploring Transformations with Matrices
A page right out of the Holt Geometry book. Use a graphing calculator and graph paper to explore transformations with matrices.
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Energy Transformations
In this energy worksheet, students write a paragraph about the order of energy transformation by putting the chain words into the correct order. Students write 1 paragraph.
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Matrices: A Secret Weapon
Students perform operations with matrices. In this algebra lesson plan, students use cryptography and cryptanalysis to solve problems. They add, subtract, and multiply matrices.
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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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Easy Worksheet: Transforming Parent Functions
In this transforming parent functions worksheet, students solve 4 multiple choice problems. Students describe the transformation of the power and logarithmic parent functions.
Pennsylvania Department of Education
Length and Perimeter
Third graders explore tessellations and the spatial concepts used in creating them. For this tessellations lesson, 3rd graders rotate, reflect and transform shapes to create tessellations. Students become familiar with the vocabulary...
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Transformations of Functions 2
Solving problems on the TI graphing calculator can be quite easy. Students observe the properties of transformation of functions and create a formula for the transformation.