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What are we going to do? CFU Learning Objective Activate Prior Knowledge Standard 7.G.1 Verify experimentally the properties of Transformations 2. Our focus today will be ROTATIONS. We will rotate 1 geometric figures on a coordinate plane. 1 to turn figure in a different orientation (synonym) 2 making changes to original figure. Vocabulary What is a LINE of REFLECTION? CFU 2 Monday, February 3, 2014 Name: __________________________ Reflections on the Coordinate Plane **Reflects over the Y-AXIS

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Determine where the line of reflection is. The line of reflection will be horizontal (if line is the x-axis) and it will be vertical (if line is the y-axis) Plot your new points and label accordingly. Sketch your new figure. Activate Prior Knowledge Directions: REFLECT EACH FIGURE ACROSS THE Y-AXIS. H’ K’ V’ M’ W’D’ J’

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Determine where the line of reflection is. The line of reflection will be horizontal (if line is the x-axis) and it will be vertical (if line is the y-axis) Plot your new points and label accordingly. Sketch your new figure. Activate Prior Knowledge Directions: REFLECT EACH FIGURE ACROSS THE X-AXIS. H’ V’ K’ D’ F’ V’ P’

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In your own words, what does it mean to rotate a figure? What does clockwise mean? Counter-clockwise means? CFU Concept Development Rotation: We can rotate 1 geometric figures in different directions. They can turn clockwise 2 or counter-clockwise 3 in direction. 1 to turn figure in a different orientation (synonym) 2 turning right in a circular motion. 3 turning left in a circular motion. Vocabulary

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Which direction are the gears spinning? GEAR A is ______________ GEAR B is ______________ GEAR C is ______________ GEAR D is ______________ CFU Concept Development We can rotate 1 geometric figures in different directions. They can turn clockwise 2 or counter-clockwise 3 in direction. 1 to turn figure in a different orientation (synonym) 2 turning right in a circular motion. 3 turning left in a circular motion. Vocabulary

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How is a rotation different than the previous transformations (i.e. translation, reflection, and dilation) we have looked at? Which direction does clockwise turn? Which direction does counter-clockwise turn? CFU Skill Development / Guided Practice GIVEN: Describe each rotation shown below:

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Skill Development / Guided Practice Locate your original figure. Identify whether your rotation is clockwise or counter-clockwise. Calculate the number of ¼ turns that will be made. Hint: each ¼ turn equals 90 o. Turn your paper specified number of turns in correct direction. Record where the new points are, then turn paper back to original position. Plot new points, graph and label. ROTATING FIGURES: 1 2 3 4 How did I/you rewrite the expressions? How did I/you identify like terms? How did I/you combine like terms? CFU 1 2 3 Rotation of figures focuses on a single point, usually the origin – (0,0). Rotation is calculated by a clockwise or counter-clockwise turn. 5 6 (rotated figure)

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Guided Practice Locate your original figure. Identify whether your rotation is clockwise or counter-clockwise. Calculate the number of ¼ turns that will be made. Hint: each ¼ turn equals 90 o. Turn your paper specified number of turns in correct direction. Record where the new points are, then turn paper back to original position. Plot new points, graph and label. ROTATING FIGURES: 1 2 3 4 How did I/you rewrite the expressions? How did I/you identify like terms? How did I/you combine like terms? CFU 1 2 3 Rotation of figures focuses on a single point, usually the origin – (0,0). Rotation is calculated by a clockwise or counter-clockwise turn. 5 6

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Guided Practice Locate your original figure. Identify whether your rotation is clockwise or counter-clockwise. Calculate the number of ¼ turns that will be made. Hint: each ¼ turn equals 90 o. Turn your paper specified number of turns in correct direction. Record where the new points are, then turn paper back to original position. Plot new points, graph and label. ROTATING FIGURES: 1 2 3 4 How did I/you rewrite the expressions? How did I/you identify like terms? How did I/you combine like terms? CFU 1 2 3 Rotation of figures focuses on a single point, usually the origin – (0,0). Rotation is calculated by a clockwise or counter-clockwise turn. 5 6

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Skill Closure Locate your original figure. Identify whether your rotation is clockwise or counter-clockwise. Calculate the number of ¼ turns that will be made. Hint: each ¼ turn equals 90 o. Turn your paper specified number of turns in correct direction. Record where the new points are, then turn paper back to original position. Plot new points, graph and label. ROTATING FIGURES: 1 2 3 4 Which direction do you need to turn your graph? Does your new figure change in size? What are some key differences that you can identify between rotations and other transformations (reflections, translations or dilations)? CFU 1 2 3 Rotation of figures focuses on a single point, usually the origin – (0,0). Rotation is calculated by a clockwise or counter-clockwise turn. 5 6

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Perform Congruence Transformations. A __________________ is an operation that moves or changes a geometric figure to produce a new figure called an __________.

Perform Congruence Transformations. A __________________ is an operation that moves or changes a geometric figure to produce a new figure called an __________.

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