1. DO NOW: MONDAY MAY 9 TH Reflecting on this past school year, what accomplishments are you most proud of (academic or personal)? What is a goal you are still working towards? And what is something you wish you did differently or plan to do differently next year to further your success?

2. FINAL PROJECT: COLLEGE AND PERSONAL BUDGET  All components due by June 1 st NO EXCEPTIONS (including email submissions)!  Presentations will be during your exam time slots June 1 st and June 2 nd  We will have sign ups for presentation times next week  Everything you need for the project is already on my website on the “ALGEBRA FINAL PROJECT” page, once you are on that page if you click on the title of an item it will bring up the full document.  If you do not have access to the computer or interne tat home I will make copies of the assignment for you next week. Students seeking honors credit have an additional MANDATORY component of the project to complete (see project instructions for more details)

3. INTRO TO GEOMETRIC TRANSFORMATIONS Unit 1

4. UNIT OVERVIEW Learning Goal: I will be able to draw, describe, specify the sequence, develop definitions, and predict the effect of transformations by using appropriate academic vocabulary. Learning Scale: Level 1: I can identify basic 2-D figures by name based on their characteristics. With Ms. McMahan’s help I can also reach Level 2 on the learning scale. Level 2: I addition to level 1 I can: recognize the specific vocabulary for this unit and can also complete basic tasks such as: Describe transformations as functions that take points in the plane as inputs and give other points as outputs, Represent transformations in the plane using transparencies and geometry software, Compare transformations that preserve distance and angle to those that do not (for example, translation vs. horizontal stretch), and Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using graph paper, tracing paper, or geometry software. Level 3: In addition to Level 2 I can: Describe the rotations and reflections that carry a given rectangle, parallelogram, trapezoid or regular polygon on to itself, Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments, Specify the sequence of transformations that will carry a given figure onto another, Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure.

5. THIS UNIT’S STANDARDS MAFS.912.G-CO.1.1 (DOK 1) Know precise definitions of angle, circle, perpendicular lines, parallel lines, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. MAFS.912.G-CO.1.2 (DOK 2) Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). MAFS.912.G-CO1.3 (DOK2) Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself. MAFS.912.G-CO.1.4 (DOK 3) Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. MAFS.912.G-CO.1.5 (DOK 2) Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. MAFS.912.G-CO.2.6 (DOK 2) Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

6. TODAY’S STANDARD: MAFS.912.G-CO.1.1 Know precise definitions of angle, circle, perpendicular lines, parallel lines, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. Today’s Classwork: Definitions! Since there are so many vocabulary words for this unit you will only be required to look up the definition for each word instead of completing an entire vocabulary map. Use your time in class today wisely because these definitions are due FRIDAY!

7. VOCABULARY DEFINITIONS ONLY- DUE FRIDAY Output Parallel Parallelogram Perpendicular Plane Point Polygon Rectangle Reflection Regular rigid motion Rotation trapezoid Angle Circle Figure Function Geometric horizontal stretch Input Line line segment Sequence Transform/Transformation Translation

8. FYI: IF YOU WOULD LIKE TO REFERENCE THE GEOMETRY TEXTBOOK AT HOME… Go to the following website to access the Prentice Hall Geometry Textbook. This is the book High School Geometry students used this year, I’m not sure if it will be the same book when you all take Geometry next year. http://ocas.pearsonschool.com/ph/cd/0-13-250447- 2/?token=53616c7465645f5fc88423179471eb621d1806ec31 b52570fe032b3ae6e781c77944d29b8a919ba1d4db4649da5 d7630http://ocas.pearsonschool.com/ph/cd/0-13-250447- 2/?token=53616c7465645f5fc88423179471eb621d1806ec31 b52570fe032b3ae6e781c77944d29b8a919ba1d4db4649da5 d7630

9. STOP

10. DO NOW: TUESDAY MAY 10 TH Grab a warm-up sheet from the assignment table to complete as your Bellringer. We’re going over it once my timer goes off!

11. INTRO TO GEOMETRIC TRANSFORMATIONS: TRANSLATIONS Unit 1

12. TODAY’S STANDARD: MAFS.912.G-CO.1.2 (DOK 2) Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). Describe the different types of transformations including translations, reflections, rotations, and dilations. Describe transformations as functions that take points in the coordinate plane as inputs and give other points as outputs. Represent transformations in the plane. Write functions to represent transformations. Compare transformations that preserve distance and angle to those that do not (e g, translation vs. horizontal stretch).

13. TRANSFORMATIONS Transformation Preimage Image When a geometric figure is changed in position, shape, or size. The original figure The resulting figure from a transformation

14. TRANSFORMATIONS Isometry Translation Composition Transformation in which the preimage and the image are congruent. An isometry that maps all points of a figure the same distance in the same direction. A composition of transformations is a combination of two or more transformations. In a composition, each transformation is performed on the image of the preceding transformation.

15. NAMING TRANSFORMATIONS A transformation maps a figure onto its image and may be described using an arrow (  ) notation. Prime (‘) notation is sometimes used to identify image points. Example:

16. FINDING TRANSLATIONS Finding Translations The diagram below shows a translation of the black square by 4 units right and 2 units down. We can use variables to show this by saying that each (x,y) pair in the original figure is mapped to (x+4, y-2)

17. CLASSWORK Translations Worksheet, you may work with a partner, write your answers on your own sheet of paper- Finish for homework

18. STOP

19. DO NOW: WEDNESDAY MAY 11 TH You have 10 minutes to finish yesterday’s Translation activity!

20. INTRO TO GEOMETRIC TRANSFORMATIONS: REFLECTIONS Unit 1

21. TODAY’S STANDARD: MAFS.912.G-CO.1.2 (DOK 2) Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). Describe the different types of transformations including translations, reflections, rotations, and dilations. Describe transformations as functions that take points in the coordinate plane as inputs and give other points as outputs. Represent transformations in the plane. Write functions to represent transformations. Compare transformations that preserve distance and angle to those that do not (e g, translation vs. horizontal stretch).

22. STATIONS! Get into 4 groups of 6! We will rotate every 10 minutes, make sure to follow ALL of the direction for each station and turn your work into my tray when we are finished. Make sure at least ONE person in each group has a device with a QR scanner.

23. STATION 1: NOTES Copy the following notes into your notebook

24. TRANSFORMATIONS Reflections An isometry in which a figure and its image have opposite orientations, thus a reflected image appears “backwards”. Example:

25. TRANSFORMATIONS Finding Reflection Images If point P(2,-1) is reflected across the line y=1, what are the coordinates of its reflection image? Answer: P is 2 units below the reflection line, so its image P’ is 2 units above the reflection line at (2,3)

26. STATION 2: GEOBOARDS 1. Place the plastic red and blue pegs in the board for each point of your geometric figure. 2. Take a rubber band and wrap it around the pegs to form your shape. 3. Then have a partner reflect your shape over either the “x” or “y” axis. 4. Using your device take a picture of the preimage and the image on your geoboard, then on your sheet of paper write down the preimage coordinates and the image coordinates. 5. Make at least 4 different images, and submit them to me through the QR code on the “Work Collector Poster” (make sure to name the files with YOUR legal name)

27. STATION 3: PAPER REFLECTION ACTIVITY

28. STATION 4: VOCABULARY Take this time to work on your vocabulary, if you already completed it then you may work on makeup work or assignments for another teacher.

29. STATION 4: VOCABULARY Output Parallel Parallelogram Perpendicular Plane Point Polygon Rectangle Reflection Regular rigid motion Rotation trapezoid Angle Circle Figure Function Geometric horizontal stretch Input Line line segment Sequence Transform/Transformation Translation Take this time to work on your vocabulary, if you already completed it then you may work on makeup work or assignments for another teacher.

30. STOP

31. DO NOW: THURSDAY MAY 12 TH Draw a geometric figure and it’s image after a reflection. Don’t forget to draw a line of reflection!

32. INTRO TO GEOMETRIC TRANSFORMATIONS: ROTATIONS Unit 1

33. TODAY’S STANDARD: MAFS.912.G-CO.1.2 (DOK 2) Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). Describe the different types of transformations including translations, reflections, rotations, and dilations. Describe transformations as functions that take points in the coordinate plane as inputs and give other points as outputs. Represent transformations in the plane. Write functions to represent transformations. Compare transformations that preserve distance and angle to those that do not (e g, translation vs. horizontal stretch).

34. TRANSFORMATIONS Rotation Center of Rotation Angle of Rotation Turning a figure clockwise or counterclockwise. In order to do a rotation you need to know the center of rotation and the angle of rotation. A Point A positive number of degrees. Unless otherwise stated always assume you are rotating the image counterclockwise.

35. TRANSFORMATIONS Drawing a Rotation Image

36. TRANSFORMATIONS Center A regular polygon has a center that is equidistant from its vertices. Segments that connect the center to the vertices divide the polygon into congruent triangles. You can use these to find rotation images of regular polygons.

37. WE DO: COMPOSITIONS OF ROTATIONS Draw the image of the kite for a compositions of a 30˚ rotation and a 60˚ rotation, counterclockwise about point K.

38. YOU DO: PRACTICING WITH ROTATIONS

39. GET YOUR DEVICES OUT! Kahoot Time!

40. STOP

41. DO NOW: FRIDAY MAY 13 TH

42. INTRO TO GEOMETRIC TRANSFORMATIONS: COMPOSITIONS OF REFLECTIONS Unit 1

43. TODAY’S STANDARD:

44. STOP