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Welcome to Ms. Samara’s Common Core II Class! PowerPoint Presentation
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Welcome to Ms. Samara’s Common Core II Class!

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Welcome to Ms. Samara’s Common Core II Class! - PowerPoint PPT Presentation

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Welcome to Ms. Samara’s Common Core II Class!

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  1. Welcome to Ms. Samara’s Common Core II Class!

  2. Classroom Norms and Expectations Warm Ups Homework Stamp Sheets Group Work and Roles School Supplies Other Expectations School Policies Food/Drink Emergencies

  3. Remind 101 To get reminders and announcements text @mssamara1 to 919-800-0736

  4. Group Roles • Time Keeper/Recorder • Keep track of time • Record Group answers • Resource Manager • Get supplies for group • Reader • Read instructions OUTLOUD or assign readings • Spy Monitor • When your group is stuck, check with other groups or teacher

  5. Unit 1 – Day 1 Introduction to Transformations And Translations

  6. Warm Up • Matching Card Game • Each of you has been handed a card with a figure plotted on a coordinate plane. • Find your classmate who has the “matching” figure. • Once you find your “match”, sit together and write a quick description of how your figures have been changed. Be as descriptive as possible! Use the Monday block of the Warm Up sheet on a desk • Once all matches have been found, you and your partner will describe your cards to the class. End

  7. Transformations Definition: A Transformation is a change in the position, size, or shape of a geometric figure.

  8. Think About The Situation

  9. Investigation In this lesson, you will learn how coordinates can be used to transform shapes. You will investigate coordinate representation of rigid transformations that provide a way to reposition figures in a plane without changing the shape or the size of the figures.

  10. Translation Definition: A Translation (slide) is a transformation that moves points the same distance and in the same direction. A translation in the coordinate plane is described by a vector.

  11. Preimage and Image • The preimageis the original figure. • Denoted as A • The imageis the figure after a transformation. • Denoted as A’ or “A prime” (This is called Prime Notation)

  12. Group Work A translation, or sliding motion, is determined by distance and direction. By looking carefully at a simple shape and its translated image, you can discover patterns relating the coordinates of the shape and the coordinates of its image. Time Keeper: 15 minutes Resource Manager: Problem 2 and 3 Worksheet (1/member)

  13. Question 2 • v

  14. Question 2 • v

  15. General Rule Compare the transformation rules you developed for Part d of Problem 2 and for Parts c and e of Problem 3. As a group, write a general rule that tells how to take any point (x, y) and find its translated image if the preimage is moved horizontally h units and vertically k units. Compare your rule with other groups and resolve any differences.

  16. General Rule (x, y)  (x + h, y + k) Describes a translation of hhorizontal units (+ Right, - Left) k vertical units (+ Up, - Down)

  17. Example Write a description and rule for the following translation

  18. Vector Notation • Vector notation is another way to write rules of translations. • A vector is written as • h = left/right • k = up/down

  19. Marching Band Activity Resource Manager: Grab a worksheet for each group member. Reader: Read instructions out loud to group. Time Keeper: You have _______ minutes

  20. Assessment QuickWrite: On a small piece of paper, summarize what you learned today in 2 minutes. You may include pictures or symbols if needed. Post on board when finished. Homework: Worksheet Fill out Info Sheet with parent/guardian. 2:00 1:59 1:58 1:57 1:56 1:55 1:54 1:53 1:52 1:51 1:50 1:49 1:48 1:47 1:46 1:45 1:44 1:43 1:42 1:41 1:40 1:39 1:38 1:37 1:36 1:35 1:34 1:33 End 1:32 1:30 1:29 1:28 1:27 1:26 1:25 1:24 1:23 1:22 1:21 1:20 1:19 1:18 1:17 1:16 1:15 1:14 1:13 1:12 1:11 1:10 1:09 1:08 1:07 1:06 1:05 1:04 1:03 1:02 1:01 1:00 0:59 0:58 0:57 0:56 0:55 0:54 0:53 0:52 0:51 0:50 0:49 0:48 0:47 0:46 0:45 0:44 0:43 0:42 0:41 0:40 0:39 0:38 0:37 0:36 0:35 0:34 0:33 0:32 0:31 1:31 0:30 0:28 0:27 0:26 0:25 0:24 0:23 0:22 0:21 0:20 0:19 0:18 0:17 0:16 0:15 0:14 0:13 0:12 0:11 0:10 0:09 0:08 0:07 0:06 0:05 0:04 0:03 0:02 0:01 0:29 2:00