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  1. D.E.A.R 15 minutes

  2. Do now • Using the figure on the board, solve the problem Lines k and l are parallel What is the value of z? • 130 • 120 • 100 • 80

  3. 2-11-13 • http://youtu.be/gb3yBvDkIMk

  4. Unit 2 Transformations (this PowerPoint will be posted on the class wiki if you miss something)

  5. What is a transformation? • A copy of a geometric figure • The copy holds certain properties (Similar to copy and paste on the computer) • Pre – image = original figure • Image = new (copied) picture

  6. Transformations • 2 basic types: 1. Rigid Transformations • Definition: the pre image and image both have exact same size and shape • 3 types of rigid are: • A. translations • B. reflections • C. rotations 2. Non-rigid transformations

  7. The 2nd type of transformation • Non rigid transformation: • Definition: it can do stretching and shrinking and twisting

  8. Basic Transformation Geometry • http://www.gradeamathhelp.com/transformation-geometry.html • This is a resource, in case you need to refer to later

  9. Polygons and transformations • Describe these shapes with translations, reflections, and rotations OR use the nets • We will use ipad, graph paper, or you will make a coordinate plane • Record in your notebook, the ordered pairs you start with and where you end up: complete a translation and reflection

  10. independent • Which of the following preserves distance which does not? Explain • (x, y) translated with rule (x +1, y + 2) • Or • (x, y) translated with rule (x2, y + 1) • Is distance the same as area or perimeter? • Also, there is a worksheet/assignment on www.kz.com

  11. 2-11-13 • Summary: • How can you represent a transformation in the coordinate plane? • Put answer in your notebook • Date and label

  12. 2-13D.E.A.R 15 minutes

  13. 2-13-13 • Do Now: • Create a venn diagram for the two words • rigid transformation • non-rigid transformation in your notebooks

  14. 2-13-13 • Definitions (in terms of lines parallel or perpendicular, angles, circles, segments) • Reflections • Rotations • Translations

  15. 2-13-13 • Pictures/videos to help with definitions • www.mcescher.com • Soccer passes

  16. Transformation and angles examples • http://www.youtube.com/watch?v=HfdPghAo_y8&feature=share&list=PL672620CA05CCA02A (passes angles and lines) • http://youtu.be/1c7DVV4oP4U • Passing, transformations, and angles • What can you not do in basketball after you stop with the ball? • Consider your planted foot as your rotation point

  17. Tuesday’s work • Read pg. 547 define and understand Composition of transformation • - pg. 549 (7 - 18 even), and #19 • - pg. 550 #27 this will count as a project grade/formal grade 70%, therefore you may want to do this problem last

  18. Tuesday’s work continue • pg. 551 (42, 43, 44) complete the problems and tell me how these 3 problems relate to transformations

  19. 2-14-13 DO NOW 5 minutes • Define reflection • Define translation • D.E.A.R 10 minutes • At the end of today’s D.E.A.R please send me a message/note on edmodo describing your what you read today; you will have 5 minutes

  20. Quiz today • Reflection • Translation • Essay ?: How can you change a figure’s position without changing its size and shape? (Send your answer to me using edmodo, just me not the whole class) • If finish the quiz early, then please read or work quietly on your translation project ( I cannot answer questions, until all students have completed test)

  21. 4th block only: 2-14-13 • Quiz on Thursday • Honors: read article, write synopsis on the article, but they must include the terms in the article • Paragraph, use of proper grammar, math terms, math connections, good spelling, • Type on edmodo and send to me or we will use gaggle

  22. 2-15-13 • Do now: what is the name of the original figure in transformations? What is the name of the new figure?

  23. agenda • Go over yesterday’s test • Give students their scores, results, post those problems that need most work • Work on projects • Wallpaper or wrapping paper (your translation design) • Rotation and reflection worksheets

  24. What do children have to do when they first play with this toy?

  25. 9.1 Translations 1. What does isometry mean? • Congruent 2. What is a rule that describes the two shapes with the following ordered pairs? Q (- 5, 4) Q’ (1, 2) R (- 2, 3) R ‘ (4, 1) T (- 5, -2 ) T ‘ (1, - 4) S ( -3, -1) S ‘ (3, - 3)

  26. 9.1 Translations 3. What are the images of the vertices of ABC for the translation (x, y) translated by the rule ( x – 2 , y + 3)? The vertices are A (5, 6) , B ( 6, - 3), and C (7, 2)

  27. Tuesday’s work continue • Read pg. 553 - 558 define the key terms (reflection, line of reflection) • - pg. 556 #8, 10, 12, 23, and 24 • Then onto Rotations

  28. 9 -2 Reflections • If point D (4, 1) is reflected across x = 2, what are the coordinates of its reflection? A (4, -1) B ( 4, 3) C (- 4, 1) D (0, 1)

  29. 9 – 2 Reflections 2. A design for the math club log reflects a triangle across the y – axis. Graph the reflection. A (2, 4) B (6, 2) C (2, - 6)

  30. 9 -2 Reflections 3. You are building a garden fountain with paths to the rose bushes and the herb garden. You make a graph showing the roses at (5, 5) and the herbs at (3, 2). You want to minimize the length of the brick paths. If the fountain is located on the y-axis, where should it be built? A (0, 7/2) C (0, 4) B (0, 25/8) D (0, 13/2)

  31. Activiy 2-14-13 • Reflections and rotations • Use of patty paper • Compass • Protractor • Goal: how to rotate an object a certain degree and reflecting over the line of reflection

  32. Independent work 2-15-13 • Translation Project: formal grade 70%, therefore you may want to do this problem last • Reflection worksheet • 9-2 puzzle, connect dots • Rotation worksheet • 9-3 practice G • challenge problem or re-teaching worksheet

  33. Summary 2-15-13 • In notebook Answer the following: 1. How can you verify that your rule is correct for a specific transformation? 2. What kind of lines are y = 2 and x = 5 (describe the orientation of the line)