Project Part 3: Reflection - LCMS Math



Unit 1 Project on TransformationsDue Date: Wednesday - August 20 (Late projects will lose 11 points per day!) Major Assessment grade (45%)The project should be completed as an 8.5” x 11” book with a cover. The format should be as follows:Front Cover – should include project title and be in colorPage 1 – Part 1: TranslationsPage 2 – Coordinate Plane Page 3 –Part 2: Rotation Quilt SquarePage 4 – Rotation QuestionsPage 5 - Coordinate PlanePage 6 – Part 3: ReflectionPage 7 - Reflection QuestionsPage 8 - Coordinate PlanePage 9 - RubricBack CoverPart 1: TranslationStep 1: Create an original image with at least 10 ordered pairs in the second quadrant. Step 2: Label each of the quadrants Step 3: Translate your image into the fourth quadrantStep 4: Fill in the table below with your original coordinates and translated coordinatesStep 5: List your translation notation on Question 1. Step 6: Color your image Step 7: Answer each of the questions below in complete sentences. Original coordinates of your imageTranslated coordinates of your imageA= A’=B=B’=Question 1: What is the notation for your translation? Question 2: Verbally explain your translation (how many steps to the left or right and how many steps up or down).Question 3: What is one word that explains a translation? Why is this the best word for this form of transformation? -117475-25209500Part 2: Rotation of a Quilt SquareStep 1: Design a “quilt square” in quadrant 1 of the coordinate plane. Your quilt square design in quadrant 1 should utilize 4 or more objects or shapes, and should include at least 18 ordered pairs. Step 2: List all the ordered pairs of your original quilt square in the table below under Quadrant I.Step 3: Rotate the quilt square in quadrant one 90 degrees counterclockwise.Step 4: Record the new ordered pairs in the table below under the correct Quadrant and label these coordinates with “prime” EXAMPLE A’ = ( __ , __ )Step 5: Rotate the new image another 90 degrees counterclockwise.Step 6: Record the new ordered pairs in the table below under the correct Quadrant and label these coordinates with two “prime” marks EXAMPLE A’’ = ( __ , __ )Step 7: Rotate the new again another 90 degrees counterclockwise.Step 8: Record the new ordered pairs in the table below under the correct Quadrant and label these coordinates with three “prime” marks EXAMPLE A’’’ = ( __ , __ )Step 9: Make sure all your vertices are correctly labeled. Step 10: Color your quilt square, but make sure you can still read the vertices. Colored Pencils are recommended.Step 11: Answer the questions on the next page in complete sentences. Quadrant 1 coordinatesQuadrant _ coordinatesQuadrant _ coordinatesQuadrant _ coordinatesA= (____ , _____)A’= (____ , _____)A”= (____ , _____)A”’= (____ , _____)B= B’=B”=B”’=C = C’=C”=C”’=-156210-28067000Question 1: Choose your first labeled coordinate and describe how you rotated it from Quadrant I to the quadrant it was rotated into for step 3.Question 2: If you rotated the original image from Quadrant I to Quadrant III, what degree rotation would this be and why?Question 3: Where do you see rotations in the real world? Give at least three examples. Project Part 3: ReflectionStep 1: Design half of a mask that spans across Quadrant II and III. This will be the left side of a mask and it should include at least 40 ordered pairs. You may create any design, but only straight lines should be used.Step 2: Record the coordinates of the vertices of the original mask on the chart below. After your “Z” coordinate you may label coordinates with double letters (AA, BB, CC, DD, EE, etc.)Step 3: Reflect the mask over the y axis, which is the line of reflection. Step 4: Label the new vertices of the reflection of the mask. Step 5: Record the coordinates of the new vertices in the table below.Step 6: Color your mask so that you can still read the vertices. Colored Pencils are recommended.Step 7: Answer the questions on the next page in complete sentences.Original Vertices’ CoordinatesOriginal Vertices’ CoordinatesReflected Vertices’ CoordinatesReflected Vertices’ CoordinatesA= A’= B= B’= C= C’=-105410-34925000Question 1: What is the difference between reflection and translation?Question 2: Which coordinates did not change when you reflected the image? Why do you think they did not change? Question 3: The directions asked for a vertical reflection over the y-axis for this project. However, is there a part of your mask that has a horizontal reflection over the x axis? If so where? Describe in detail. (you may sketch a picture or name the coordinates)Unit 1 Transformations Project Rubric30 pointsPart 1: Translation ______ / 4 pointsQuadrants labeled correctly______ /10 pointsGraphed & labeled correctly______ /10 pointsTable filled in correctly ______ / 6 pointsQuestions completed correctly32 pointsPart 2: Rotation ______ / 13 pointsGraphing quilt correctly______ / 13 pointsTable filled in correctly______ / 6 pointsQuestions completed correctly30 pointsPart 3: Reflection______ / 12 pointsGraphing mask correctly______ / 12 pointsTable filled in correctly______ / 6 pointsQuestions answered correctly8 pointsAppearance______ / 2 pointsCover______ / 2 pointsPart 1______ / 2 pointsPart 2______ / 2 pointsPart 3 ................
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