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Lesson Plan
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\n\"Definition\n\n
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\nDefinition of Translation and Three Basic Properties\n

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\n\nFor Students\n\n8th\n\nStandards\n
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\nUncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...\n
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Assessment
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\n\"Smarter\n\n
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\nCCSS Math Activities \n
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\nSmarter Balanced Sample Items: 8th Grade Math – Target G\n

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\n\nFor Teachers\n\n8th\n\nStandards\n
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\nTransform the thinking of transformations with six sample items that illustrate the first four standards in the eighth grade geometry domain. Items use the coordinate plane to transform figures and analyze the relationship of the figures...\n
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Lesson Plan
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\n\"Similar\n\n
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\nIllustrative Mathematics\n
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\nSimilar Triangles\n

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\n\nFor Teachers\n\n9th - 11th\n\nStandards\n
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\nProving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...\n
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Worksheet
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\n\"Transformations\n\n
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\nCurated OER\n
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\nTransformations and Translations\n

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\n\nFor Students\n\n7th - 8th\n\nStandards\n
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\nIn this transformations/translation activity, students draw transformations based on shapes and vectors of given translations. A reference web site is given for additional activities.\n
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\n\"Introduction\n\n
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\nIntroduction to Unit V-Transformations\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nStudents 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...\n
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Lesson Plan
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\n\"Transformations\n\n
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\nTransformations\n

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\n\nFor Teachers\n\n5th - 6th\n
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\nStudents draw on graph paper. In this geometry lesson, students review types of triangles and quadrilaterals. Students investigate geometric transformations, including translation, rotation and reflection. Students practice each...\n
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Worksheet
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\n\"Graphing\n\n
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\nGraphing and Writing the Rule for Transformations\n

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\n\nFor Students\n\n8th - 11th\n
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\nIn this translations learning exercise, students graph the given image using the transformations described in six problems and write the rule for the transformation graphed in six more problems.\n
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Worksheet
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\n\"Geometric\n\n
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\nGeometric Transformations\n

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\n\nFor Students\n\n7th - 8th\n
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\nIn this geometric transformations worksheet, students draw the triangle after the transformation as directed in six diagrams.\n
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\n\"Transformations\n\n
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\nTransformations Homework\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this geometry worksheet, students transform a coordinate based on a reflection, translation, or dilation in order to obtain the image. There are 12 questions.\n
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Unit Plan
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\n\"Congruence,\n\n
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\nCongruence, Proof, and Constructions\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nThis amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs.  Each of the almost-forty lessons...\n
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Unit Plan
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\n\"Module\n\n
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\nMathematics Vision Project\n
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\nModule 6: Congruence, Construction, and Proof\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nTrace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...\n
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Activity
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\n\"Bank\n\n
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\nNational Council of Teachers of Mathematics\n
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\nBank Shot\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nBank on geometry to line up the shot. The resource asks the class to determine the location to bank a cue ball in a game of billiards. Using their knowledge, class members determine where to hit the bumper to make a shot and discuss...\n
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Worksheet
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\n\"Transformations\n\n
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\nTransformations on the Coordinate Plane\n

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\n\nFor Students\n\n7th - 10th\n\nStandards\n
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\nHere is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...\n
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Lesson Plan
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\n\"Base\n\n
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\nBase Angles of Isosceles Triangles\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nBuild confidence in proofs by proving a known property. Pupils explore two approaches to proving base angles of isosceles triangles are congruent: transformations and SAS. They then apply their understanding of the proof to more complex...\n
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\n\"Congruence\n\n
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\nCongruence Criteria for Triangles—ASA and SSS\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nHow do you know if a pair of triangles are congruent? Use the lesson to help class members become comfortable identifying the congruence criteria. They begin with an exploration of ASA and SSS criteria through transformations and...\n
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\n\"Applications\n\n
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\nApplications of Congruence in Terms of Rigid Motions\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nCorresponding parts, congruent parts, congruent corresponding parts—what does it all mean? The resource challenges pupils to identify corresponding parts for pairs of figures. It uses examples of figures that undergo rigid...\n
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\n\"Triangle's\n\n
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\nTriangle's Interior Angles\n

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\n\nFor Teachers\n\n7th - 9th\n\nStandards\n
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\nGiven a pair of parallel lines and a triangle in between, geometers prove that the sum of the interior angles is 180 degrees. This quick quest can be used as a pop quiz or exit ticket for your geometry class.\n
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\n\"Transformers\n\n
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\nTransformers\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nLearners use transformation to move the graph around. In this geometry instructional activity, students observe transformation of symmetry groups. They use the TI to move the sides of the polygons around and make predictions.\n
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\n\"Exploring\n\n
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\nExploring Quadratic Data with Transformation Graphing\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nUsing a data collection device to collect data regarding a bouncing ball, students use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of the...\n
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Lesson Plan
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\n\"Geometry:\n\n
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\nGeometry: Translations and Reflections\n

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\n\nFor Teachers\n\n7th - 9th\n\nStandards\n
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\nGroup work and participation is used to perform a specified translation or reflection. In this geometrical translation lesson, small groups of pupils are each given a shape to plot on a coordinate grid. Each shape is then translated or...\n
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Lesson Plan
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\n\"Characterize\n\n
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\nCharacterize Points on a Perpendicular Bisector\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nLearn transformations through constructions! Pupils use perpendicular bisectors to understand the movement of a reflection and rotation. They discover that the perpendicular bisector(s) determine the line of reflection and the...\n
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Lesson Plan
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\n\"Discovering\n\n
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\nDiscovering the Geometric Effect of Complex Multiplication\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nDoes complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...\n
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Worksheet
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\n\"Dilations\n\n
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\nDilations and Similarity\n

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\nFor this dilations and similarity worksheet, pupils solve 10 different problems that include various dilations. First, they determine the scale factor of dilations found in the illustrated graphs. Then, everyone determines the...\n
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Instructional Video4:03
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\n\"How\n\n
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\nHow Do You Use a Graph to Reflect a Figure Over the X-Axis?\n

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\nA reflection is just what you think it is, a mirror image. So how do you reflect a figure on a graph? Just flip it over. The teacher illustrates how to select a line of reflection (the x-axis) and make the calculations to flip the figure.\n
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