Day 33.notebook. January 10, Day 33 January 11, 2018
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1 Day 33 January 11, 2018 Problem Set #1: Rotations (Do on white boards) Then write your final answer in your notes Graph the original flag. A: (0,0) B: (3,3) C: (5,5) D: (7,3), E: (5,1) 1. Rotate the flag 90 deg Counter Clockwise (CC) from the center. What are the new coordinates? Label A', B', C', D', E' 2. On a new coordinate grid: Rotate the original flag 180 deg CC. What are the new coordinates? Label A', B', C', D', E' 3. On a new coordinate grid: Rotate the flag 270 deg CC. What are the new coordinates? Label A', B', C', D', E' 1
2 Welcome to GEO: Unit 3: Coordinate Geometry Goal: Translating and Reflecting Objects Agenda Review: Creating Rule for Rotation Notes: Translating and Rotating Objects + Creating Rules Practice: Whole Class + Khan Academy Practice Announcements 2
3 Creating a Rule: (x,y) for Rotations 90 deg CC 180 deg CC 270 deg CC 3
4 Checking the Rule: (x,y) for Rotations 4
5 Translations: Moves object Left Right and/or Up Down Consider the Triangle given by A: (4,1) B: (2, 0) C: (3, 5) 1. Given the rule: (x, y) (x+5, y) Explain what has happened to the new triangle. What are the new coordinates: A', B', C' 2. If A'': (4, 2) B'': (2, 3) C": (3, 2), explain the transformation (from the original) and find the rule (x,y) (, ) 3. Create a transformation that moves the triangle 4 units to the left and 6 units up. What are the new coordinates (from the original)? What is the rule? 5
6 What exactly is a reflection? Line reflections mirror an image across it. 6
7 Problem Set #3: Reflection Graph the 'pre image' flag. A: (0,0) B: (3,3) C: (5,5) D: (7,3), E: (5,1) Find the image's new coordinates. Then determine the rule (x,y) Reflect the image across: 1. The y axis Complete this assignment in Pairs 2. The x axis 3. The line y=x 4. The line y= x 7
8 Creating a Rule: (x,y) for Reflections pre image y axis x axis y=x y= x A (0,0) B (3,3) C (5,5) D (7,3) E (5,1) Rule 8
9 Creating a Rule: (x,y) for Reflections 9
10 Small Group Problems 1. Graph ABCD: A( 2,2) B:(4, 1) C:(5, 3) D:( 1, 2) Reflect across x axis and find the new coordinates 2. Given triangle: A (1,3) B: (2, 1) C: (5,6) Reflect across line y= x. Find the new coordinates 3. Graph QRS: Q( 4, 5) R( 3,3) S(2, 1) Reflect across line y=x and find the new coordinates 4. Graph NMP: N( 3,1) M:(5,2) P (2,7) Reflect across the y axis. Find the new coordinates. 5. Given triangle: A (1,3) B: (2, 1) C: (5,6). Reflect across the x axis and THEN reflect across y=x. What are the coordinates of your new triangle? Khan Academy Practice 10
11 Homework: Class Announcements Homework #5: Short Due Next Class Finish Khan Academy Practice Unit 1 2, 3.1 Re take Be aware of the Deadlines Office Hours Tuesday and Friday 11
12 Learning Goal: Find rules for reflections Warm UP: Reflect across the line #1 #2 #3 #4 12
13 Problem Set #2: Translations (do Thur/Fri Consider the Triangle given by A: (4,1) B: (2, 0) C: (3, 5) 1. Given the rule: (x, y) (x+5, y) Explain what has happened to the new triangle. What are the new coordinates: A', B', C' 2. If A'': (4, 2) B'': (2, 3) C": (3, 2), explain the transformation (from the original) and find the rule (x,y) (, ) 3. Create a transformation that moves the triangle 4 units to the left and 6 units up. What are the new coordinates (from the original)? What is the rule? 13
14 Creating a Rule: (x,y) for Reflections pre image y axis x axis y=x y= x A (0,0) B (3,3) C (5,5) D (7,3) E (5,1) 14
15 15
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