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Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

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Presentation on theme: "Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room."— Presentation transcript:

1 Wednesday 9/3

2 Top of seating chart = front of room by whiteboard Bottom = back of room

3 Objectives: Develop teamwork Review (x, y) graphing on Cartesian plane Review congruence of shapes and rigid transformations

4 Do now: 1.Graph points taped to your desk; connect into shapes. 2.Cut out shapes. 3.Find matching shapes within team of four (pod). 4.Discuss: How do you know they match? Be specific.

5 You are graded on team clean-up: 1.Collect trash on floor, on or in desks. Place in trash or recycling. 2.Return books and tools to shelf in back. 3.Erase marks on desk if necessary. 4.Be seated before bell. 5.Once bell rings, push in all chairs all the way to desk. (Period 6 places all chairs upside-down on desk.) 6.Rotating responsibility for books/tools shelf clean-up. Today it is team I ‘s job to make sure shelf is tidy.

6 Friday 9/4

7 1.Complete ‘About Me’ part of syllabus. 2.Review required materials. 3.Review some class expectations. 4.Complete syllabus ‘Review Questions’ with team-mates.

8 Monday 9/7 Labor Day – No school

9 Tuesday 9/8

10 Objectives: Review how you are graded for Professionalism Explore types of Rigid Transformations: Translation (slide) Rotation (spin) Reflection (flip or mirror) Check out textbook, turn in syllabus

11 Everyone starts with 100% for these grades: 1.Being on time, every day. 2.Having the tools to do the job. 3.Keeping track of commitments in planner. 4.Following school & workplace rules. 5.Cleaning up the team workspace. Have you checked HW & written in your planner?

12 Write your name in ink in front inside cover of your assigned textbook. Write the textbook number in the ‘Review Questions’ of your completed & signed syllabus. Be ready to turn pages 5-6 of syllabus. Keep pp. 1-4. Have you checked HW for week on back wall? Written in planner?

13 1.Leave the first two pages of your new geometry notebook blank for a Table of Contents. 2.On page 3 of your notebook, plot the points from the paper on your desk and connect into shapes. 3.Talk with your partners about how to: Turn Shape 1 into Shape 2. Turn Shape 1 into Shape 3. Turn Shape 1 into Shape 4. Turn Shape 1 into Shape 5. 4.Any member should be ready to present.

14 One representative from each group explains to class: How to turn Shape 1 into Shape 2, etc. Discuss terminology & put in notes: Translate (slide), Reflect (flip), Rotate (spin), Rigid Transformations, Superimpose (perfectly sit on top of, Pre-image (original shape), Image (final shape).

15 Wednesday 9/9

16 Do Now 1.Have late but complete syllabi in front of you. 2.Have geometry equipment laid out in front of you. 3.Have notebook open to HW. 4.Graph each of the shapes on the paper in front of you. Make a new graph for each in your notebook. Label them with the shape number, “Shape #3” “Shape #7” etc.

17 How to use a protractor to measure angles

18 5.Measure and label all the angles with your protractor. Discuss with partners. 6.Calculate and label the lengths of each side in ‘units’, using the Pythagorean Theorem, if you know how. (Extra credit, but must show all calculations!)

19 Thursday 9/10

20 Have your extra credit open from yesterday…using the Pythagorean Theorem to calculate side lengths in your two shapes. Is your planner up-to-date?

21 Key Ideas …. to Note (write in notebook) Two shapes are congruent if their shape and size are identical. This means that their corresponding angles and side lengths are the same. The first shape or pre-image can be superimposed directly over the final image by using rigid transformations: translation (slide), rotation (spin), reflection (flip).

22 How to use the Pythagorean Theorem to calculate side lengths

23 Do Now 1.Measure and label all angles in both of your shapes from yesterday. 2.Calculate and label all side lengths on these shapes. Use the Pythagorean Theorem with ‘units’ of measure. 3.Compare your shapes to those of your partners. Find the ones that are congruent.

24 Friday 9/11

25 Do Now 1.Have HW open within a minute of the bell. Materials out on desk for a second check. 2.From Wednesday and Thursday, your two shapes should be labeled with all angle measures and side lengths. If not, do that right away. Use the Pythagorean Theorem with ‘units’ of measure. Help your partners out. 3.Your shapes should be labeled in your notebook as they are on the paper: ‘Shape 1’… 4.Compare your shapes to those of your partners. Find the ones that are congruent.

26 Turned in signed and completed syllabus. Taken their assigned textbook home for the year. All the required materials, every day: An updated planner. See me if you have not done one of these things. At this point everyone should have:

27 4.Look for a different shape that is congruent to one of yours. It should have a different shape #. 5.Write a paragraph about one of your shapes and its match. “Shape #___ and Shape #___ are congruent because they have corresponding angles of _______, _______, _______ (and _____.) They have corresponding side lengths of ________, ________, ________ (and _______.) Therefore, their ________ and ________ are the same.” C laim, E vidence, R eason

28 “Shape #___ and Shape #___ are congruent because they have corresponding angles of _______, _______, _______ (and _____.) They have corresponding side lengths of ________, ________, ________ (and _______.) Therefore, their ________ and ________ are the same.” C laim, E vidence, R eason

29 “Shape #___ and Shape #___ are congruent because they have corresponding angles of _______, _______, _______ (and _____.) They have corresponding side lengths of ________, ________, ________ (and _______.) Therefore, their ________ and ________ are the same.” C laim, E vidence, R eason

30 “Shape #___ and Shape #___ are congruent because they have corresponding angles of _______, _______, _______ (and _____.) They have corresponding side lengths of ________, ________, ________ (and _______.) Therefore, their __shape_ and ___size__ are the same.” C laim, E vidence, R eason

31 Monday 9/14

32 Top of seating chart = front of room by whiteboard Bottom = back of room

33 Monday 9/14 Have the HW due last Friday (already checked) open on your desk. Have your correction pen out.

34 Students explain HW & make corrections

35 From Friday: Write a sentence about one of your shapes and its match: “Shape #___ and Shape #___ are congruent because they have corresponding angles of _______, _______, _______ (and _____.) They have corresponding side lengths of ________, ________, ________ (and _______.) Therefore, their ________ and ________ are the same.” C laim, E vidence, R eason

36 Isometric = “same” + “measurements” Isometric shapes = congruent shapes Same angles and side lengths Isometric transformation = rigid transformation

37 Open Notes Quiz May not use a cell phone. May use note book. Solo effort, not a team quiz. Do not write on quiz question. Bubble in completely.

38 Tuesday 9/15

39 Do Now: On a graph in your notes, draw polygon with corners (2,2), (2,4), (4,4), (6,2) Now rotate this around origin 90 o, 180 o, 270 o. That’s one pre-image and three images. Starting with the same coordinates, make a new graph, using (1,3) as your Point of Rotation (PoR).

40 Transformation Rules (x, y) → (x + 3, y – 1) Pre-image transforms to Image Take all x-coordinates, add 3 to get new x’s. -1 from all y-coordinates to get new y’s. (x, y) → (-x, y) (x, y) → (y, x)

41 Wednesday 9/16

42 Will check HW due today, tomorrow. You will understand it better after today’s class. Improve it tonight.

43 Explore Transformation Rules Graph of your choice. Label. Transform with first rule on handout. Label correctly. Transform second shape into third shape with another rule. Write down what your rules do. Share your conclusions with partners. One member each group shares with class.

44 Thursday 9/17

45 Have HW out for quick check. People presenting transformation rules: be ready to go. We’ll go over HW last.

46 Friday 9/18

47 1.Have Wed & Fri HW out & open. 2.Complete Do Now Q with partners: Transformation Rule: (x, y) ----- > (2x - 1, y - 3) A (-4,9)A’ (_____, _____) B (_____, _____)B’ (31,15) 3.Correct HW using answers on board. 4.Have Q’s to ask.

48

49 Monday 9/21 Objectives 1.Get more comfortable drawing rigid transformations on a grid. 2.Get more comfortable writing forward and reverse transformation rules… example: (x, y) → (x + 1, y – 2)

50 Monday 9/21 Worksheet Relays! 1.Complete your own mini worksheet. 2.Check partners’. 3.Send one representative to turn in all. 4.Distribute & complete round two. 5.Repeat. 6.Team with most correct wins extra credit.

51

52 Computer Lab Absolutely no food or drink. At end of period, remove any trash, push in chair. Graded on clean-up, just like in class. New Skyward logins: {FirstName3Chars}.{LastName3Chars}{3Digits to eliminate duplicates} EXAMPLE: pau.eid000 Log out end of class, so no mischief on acct.

53 Tuesday 9/22 1.Complete grade-check using Skyward. 2.Get it signed by Th. 3.Set up Khan Academy account. Make Mr. S your coach. 4.Update your planner using class webpage. 5.Read Scratch instructions on class page. 6.Get started with Scratch project.

54

55 Computer Lab Absolutely no food or drink. At end of period, remove any trash, push in chair. Graded on clean-up, just like in class. New Skyward logins: {FirstName3Chars}.{LastName3Chars}{3Digits to eliminate duplicates} EXAMPLE: pau.eid000 Log out end of class, so no mischief on acct.

56 Wed 9/23 – Fri 9/25 Open instructions on class webpage docs: Scratch Programming Project Read carefully. Look at required criteria. Create Scratch account. Read Getting Started Guide pdf on Scratch. Create project. Due next Monday.

57

58 Monday 9/29 1.Get out HW for check. 2.Open Scratch project in ‘Projects Page’ mode. 3.Correct your HW in red or green pen using answer key, with neighbor. Mark those you have questions about. 4.Quiz on HW in ten minutes. May use notes.

59 4.Complete quiz w/ notes while Mr. Sidman will check project. 5.Go to class webpage and follow instructions for accessing Online Textbook. 6.Turn in quiz. 7.Tell Mr. Sidman if you cannot access Online Textbook. 8.Tomorrow: Get back quiz, answer questions before Wed test. 9.No tutoring this afternoon, but available Tuesday.

60 Open Notes Quiz May not use a cell phone. May use note book. Solo effort, not a team quiz. Do not write on quiz question. Bubble in completely.

61

62 Tuesday 9/30 Review for our first unit test tomorrow: Geometric Transformations Ch. 7 Sections 1 & 2 Ch. 0 Section 1 Khan Academy units: Transformations & Analytic Geometry

63 Do Now: List all the ways to prove two shapes are congruent. Describe the tools required. 1. 2. 3. 4. 5.

64 List all the ways to prove two shapes are congruent. Describe the tools required. 1.Cut out and superimpose shapes. 2.Trace one shape on patty paper, rigidly translate, rotate, reflect to superimpose on other. 3.Measure angles with a protractor, compare side lengths with a compass. 4.Measure angles with a protractor, calculate side lengths with the Pythagorean Theorem. 5.Do x and y coordinates change using a rigid transformation ‘rule’?

65 List all types of Geometric Transformation

66 Translation Translation is a rigid transformation that slides the shape. May be in the x- or y-direction, or both. Can use two patty papers to translate along a Line of Translation (LoT). Can use an ‘algebra rule’ to translate. What are these rules?

67 Reflection Reflection is a rigid transformation that mirrors a shape across a line of reflection (LoR). Can use one folded patty paper to reflect. Can use an ‘algebra rule’ to reflect. What are these rules?

68 Translation & Reflection Practice 7 min - With your partners, answer Q’s 1-3, pp. 362 in notebook. Be prepared to present.

69 Rotation Rigid Transformation where shapes turns around a Point of Rotation.

70 Dilation Non-rigid transformation where the x and y coordinates are multiplied by the same constant. Makes shape grow or shrink equally in the x and y directions. Angles stay the same, but side lengths change.

71 Stretch Non-rigid transformation where x and y are multiplied by different constants. Shape does not grow or shrink by same amount in both directions, so that both it’s angles and side lengths change.

72

73 Unit TEST – Geometric Transformations NO Phones Pens Notes Headphones Conversation YES Calculator Pencils Compass, protractor, patty paper Full Name, date Class period Read book when done

74 Unit TEST – Geometric Transformations Will collect all tests together when everyone is done or 5 minutes remain in period. Will ask those who need to show me Scratch project to come to my computer one at a time to show me. “Label & mark figures” = A, B, C…A’, B’, C’…


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