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Lesson Plan
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\n\"Transformations\n\n
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\nCurated OER\n
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\nTransformations and Rotations\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nStudents define and identify transformation and rotation. In this geometry lesson plan, students define rotations as congruence or isometry. They find the coordinates of an image and pre-image.\n
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Lesson Plan
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\n\"Reflections\n\n
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\nCurated OER\n
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\nReflections in the Plane\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHave 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.\n
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Lesson Plan
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\n\"Transformations—The\n\n
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\nEngageNY\n
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\nTransformations—The Next Level\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nTransform your geometry instruction by incorporating role play into math class. Pupils begin by completing an assessment to locate unknown angles, and then performing a simulation activity to better understand...\n
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Instructional Video5:37
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\n\"Describing\n\n
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\nCorbett Maths\n
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\nDescribing Reflections\n

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\n\nFor Students\n\n6th - 12th\n\nStandards\n
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\nDon't flip out over the resource, but be sure to flip the figures. By watching a short YouTube video, scholars learn about reflections in the coordinate plane. They see how to identify the line of reflection given two figures. \n
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Instructional Video3:51
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\n\"What\n\n
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\nCurated OER\n
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\nWhat is a Rotation?\n

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\n\nFor Teachers\n\n6th - 8th\n
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\nTransformations, isn't that geometry? The instructor illustrates how to rotate a shape around a fixed point on a graph, keeping the shape the same size.\n
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Instructional Video3:40
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\n\"What\n\n
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\nCurated OER\n
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\nWhat is a Reflection?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nThere are many ways to transform geometric figures. This lesson will illustrate how to reflect figures over a line to get a mirror image of the figure. The teacher will draw three different reflections: one as reflected over the y-axis,...\n
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Lesson Plan
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\n\"Reflecting\n\n
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\nReflecting a Triangle in the Coordinate Plane\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners explore geometric concepts using technology. They manipulate the TI to find important math topics. This activity requires a TI-84 or higher.\n
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\n\"Exploring\n\n
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\nDiscovery Education\n
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\nExploring Geometry\n

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\n\nFor Teachers\n\n6th - 8th\n\nStandards\n
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\nMiddle schoolers construct a three-dimensional model of a city using both similar and congruent figures and geometric transformations. City must have at least ten buildings with each building labeled and may be constructed out of paper...\n
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Lesson Plan
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\n\"Determine\n\n
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\nCurated OER\n
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\nDetermine the Coordinate of Transformations\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nStudents investigate transformation on a coordinate plane. In this geometry lesson, students identify pairs of coordinates and their location on the grid. They perform rotation and reflection of each polygon.\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 7: Modeling with Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nThe sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...\n
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Lesson Plan
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\n\"Rotations\n\n
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\nEngageNY\n
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\nRotations of 180 Degrees\n

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\n\nFor Students\n\n8th\n\nStandards\n
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\nWhat happens when rotating an image 180 degrees? The sixth lesson in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...\n
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\n\"Sequences\n\n
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\nEngageNY\n
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\nSequences of Rigid Motions\n

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\n\nFor Students\n\n8th\n\nStandards\n
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\nExamine the various rigid transformations and recognize sequences of these transformations. The lesson asks learners to perform sequences of rotations, reflections, and translations. Individuals also describe a sequence that results in...\n
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Instructional Video4:27
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Make a Figure Larger Using a Dilation?\n

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\n\nFor Teachers\n\n6th - 12th\n
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\nA dilation increases or decreases the size of a figure. In this lesson the teacher shows you how to use a scale factor of three to dilate the given figure. She identifies the ordered pairs, multiplies them by three, plots the new...\n
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Instructional Video6:25
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\n\"How\n\n
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\nHow Do You Use Matrices to Translate a Figure?\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nOne way to translate a geometric figure on a coordinate plane is through the use of matrices. This video shows how to write the original coordinates in a matrix, how to build a translation matrix, how to add them, and then how to plot...\n
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Lesson Plan
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\n\"Matrix\n\n
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\nEngageNY\n
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\nMatrix Multiplication Is Not Commutative\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nShould matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...\n
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Interactive
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\n\"Transmographer\n\n
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\nShodor Education Foundation\n
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\nTransmographer\n

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\n\nFor Students\n\n8th - 12th\n\nStandards\n
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\nIntroducing ... the Transmographer. Young mathematicians investigate translations, reflections, and rotations. The applet lets users perform transformations on triangles, squares, and parallelograms. \n
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Worksheet
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\n\"Complex\n\n
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\nCurated OER\n
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\nComplex Analysis: Linear Fractional Transformations\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this transformation worksheet, students explore linear transformations and mappings. They map equations on a coordinate plane. This two-page worksheet contains approximately three problems.\n
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Worksheet
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\n\"Using\n\n
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\nCurated OER\n
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\nUsing Graphs\n

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\n\nFor Students\n\n9th\n
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\nIn this using graphs worksheet, 9th graders solve and complete 6 different types of problems. First, they determine how the transformation shown moves the graph. Then, students find the interval that is defined given the coordinates....\n
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Lesson Plan
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\n\"Radical\n\n
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\nCurated OER\n
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\nRadical Transformations\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents transform the square root function graphically.  In this transforming the square root function graphically lesson, students use their Ti-Nspire to change the a, b, and c values of th square root graph.  Students...\n
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Instructional Video4:58
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\n\"How\n\n
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\nHow Do You Use Coordinates to Reflect a Figure Over the X-Axis?\n

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\n\nFor Teachers\n\n5th - 8th\n
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\nPerform a reflection of a figure over the x-axis. This seems pretty straightforward. But also learn how to use the coordinates to reflect a figure.\n
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Instructional Video4:51
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\nHow Do You Use Coordinates to Reflect a Figure Over the Y-Axis?\n

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\n\nFor Teachers\n\n5th - 8th\n
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\nPerform a reflection of a figure over the y-axis. This seems pretty straightforward. But also learn how to use the coordinates to reflect a figure.\n
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Instructional Video3:50
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\n\"How\n\n
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\nHow Do You Make a Figure Larger Using a Dilation?\n

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\n\nFor Teachers\n\n6th - 10th\n
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\nA dilation increases or decreases the size of a figure. In this lesson the teacher shows you how to use a scale factor of three to dilate the given figure. She identifies the ordered pairs, multiplies them by three, plots the new...\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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\n\nFor Students\n\n8th - 10th\n\nStandards\n
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\nIn this dilations and similarity learning exercise, 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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Assessment
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\n\"End-of-Module\n\n
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\nEngageNY\n
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\nEnd-of-Module Assessment Task - Grade 8 Mathematics (Module 3)\n

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\n\nFor Students\n\n8th\n\nStandards\n
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\nEverything the class knows about similarity in one small package. The last portion of a 16-part series is a three-question assessment. In it, pupils demonstrate their application of similar figures and their associated...\n
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