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November 28, 2011

November 28, 2011. WARM-UP: Solve the following problems: 1. 3 + -4 7. -4 x 2 2. 4 – (-6) 8. 3 x -4 3. 2 – 9 9. -16 ÷ 4 4. -6 + 2 10. 3 ÷ -1 5. -7 – (-10) 11. -5 x -7 6. 8 + -4 12. -15 ÷ -5. Graph your Computation Challenge

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November 28, 2011

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  1. November 28, 2011 • WARM-UP: • Solve the following problems: • 1. 3 + -4 7. -4 x 2 • 2. 4 – (-6) 8. 3 x -4 • 3. 2 – 9 9. -16 ÷ 4 • 4. -6 + 2 10. 3 ÷ -1 • 5. -7 – (-10) 11. -5 x -7 • 6. 8 + -4 12. -15 ÷ -5 • Graph your Computation Challenge 2) Write your HW in your agenda: NONE 3) Complete the Warm-Up 4) I’m collecting Unit 2 and 3 Notes. Put your name on them: - Concept Map - KIM Chart -Notes/organizers

  2. November 29, 2011 • Write your HW in your agenda: Practice 32 worksheet 2) Open your HWP to p. 100 and leave it on your desk. 3) Set up for Cornell Notes. 4) Answer the following question for your Warm-Up: What is a transformation? How are objects transformed?

  3. GA Performance Standards M7G1: Students will construct plane figures that meet given conditions. a. Perform basic constructions using both compass and straight edge, and appropriate technology. Constructions should include copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. b. Recognize that many constructions are based on the creation of congruent triangles. M7G2: Students will demonstrate understanding of transformations. a. Demonstrate understanding of translations, dilations, rotations, reflections, and relate symmetry to appropriate transformations. b. Given a figure in the coordinate plane, determine the coordinates resulting from a translation, dilation, rotation, or reflection.

  4. 8-10 Translations, Reflections, and Rotations Course 2 In mathematics, a transformationchanges the position or orientation of a figure. The resulting figure is the imageof the original. Images resulting from the transformations are congruent to the original figure or the pre-image.

  5. What do you notice about these objects? What do we need to pay attention to when objects are reflected?

  6. Transformations 8-10 Course 2 What am I learning today? Transformations What will I do to show that I learned it? Determine coordinates resulting from a reflection.

  7. 8-10 Reflections Course 2 Graphing Reflections on a Coordinate Plane Graph the reflection of the figure across the x-axis. Write the coordinates of the vertices of the image. PRE-IMAGE COORDINATES: IMAGE COORDINATES: WHAT DO YOU NOTICE ABOUT THE COORDINATES?

  8. 8-10 Reflections Course 2 Graphing Reflections on a Coordinate Plane Graph the reflection of the figure across the y-axis. Write the coordinates of the vertices of the image. PRE-IMAGE COORDINATES: IMAGE COORDINATES: WHAT DO YOU NOTICE ABOUT THE COORDINATES?

  9. Reflections 8-10 Course 2 To reflect: You must have: - the reflection line (x-axis, y-axis, or origin) 1. To reflect over the x-axis, multiply your y-value by -1. Leave your x-value alone.

  10. Reflections 8-10 Course 2 2. To reflect over the y-axis, multiply your x-value by -1. Leave your y-value alone. 3. To reflect over the origin, multiply both your x-value AND your y-value by -1.

  11. Reflections 8-10 Course 2 Example: Pre-Image: A (-4,3) in quadrant II Reflect over the y-axis Image: In quadrant I, so x and y are both positive. A’ (4,3)

  12. Reflections 8-10 Course 2 QUESTION How are the coordinates determined from a reflection?

  13. 8-10 Reflections y x A’ C’ B’ Course 2 Insert Lesson Title Here Reflect over the x-axis Graph the reflection of the triangle ABC across the x-axis. Write the coordinates of the vertices of the image. The pre-image coordinates of triangle ABC are A(1,0), B(3, 3), C(5,0). B 3 The coordinates of the vertices of triangle ABC are A’(1, 0), B’(3, –3), C’(5, 0). C A 3 –3 A’ is read “A prime” and is used to represent the point on the image that corresponds to point A of the original figure

  14. 8-10 Reflections y B’ B 3 x 3 C’ –3 C Course 2 Insert Lesson Title Here Reflect over the y-axis Graph the reflection of the triangle ABC across the y-axis. Write the coordinates of the vertices of the image. The pre-image coordinates of triangle ABC are A(0,0), B(2,3), C(2,-3). A The coordinates of the vertices of triangle ABC are A’(0, 0), B’(–2, 3), C’(–2, –3).

  15. 8-10 Reflections y x C’ A’ B’ Course 2 Insert Lesson Title Here Reflect over the origin Graph the reflection of the triangle ABC across the origin. Write the coordinates of the vertices of the image. The pre-image coordinates of the vertices of triangle ABC areA(1, 1), B(3, 4), C(5, 1). B 3 A C 3 The coordinates of the vertices of triangle ABC are A’(-1,-1),B’(–3,-4), C’(–5,–1). –3

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