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IM1 – G-CO-4 Lesson 3 Rotations Moving an Object In 2 Dimensions
Mr. Deyo G.CO.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
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Date: Title: IM1 – G-CO-4 Lesson 2 Reflections Learning Target By the end of the period, I will create a definition of reflection in 2 dimensions and apply that definition to a given object. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
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Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section ______ 3) Section ______ TxtBk. Problems_________ Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due
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Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer:
How are the two images similar? How are they different? How can these two images be related to math? IMAGE 1 IMAGE 2
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Reflection Vocabulary
Pre-Image Image Axis of Reflection
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Vocabulary Acquisition
Friendly Definition Sketch Wordwork Sentence DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch DAY 1 Use Visuals Introduce the word Friendly Definition Physical Representation Use Cognates Write friendly definition Word List Vocabulary Acquisition DAY 3 and/or DAY 4 1. Review the word Friendly Definition Physical Representation 2. Show how the word works Synonyms/antonym Word Problems Related words/phrases Example/non-example DAY 5 1. Review the word Friendly definition Physical Representation 3. Write a sentence at least 2 rich words (1 action) correct spelling correct punctuation correct subject/predicate agreement clear and clean writing
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Orientation (flipped)
Notes: REFLECTION (Flip): takes an image and makes a mirror image in a plane across a given axis of reflection Reflections PRESERVE: Size Shape CHANGE: Orientation (flipped)
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Storm Check (Think, Write, Discuss, Report)
What is the difference between a translation and a reflection? A translation ____________________________ _______________________________________. A reflection _____________________________
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ABCDE A’B’C’D’E’ (_____ , _____) (_____ , _____) (_____ , _____)
The BLUE pentagon is the PRE-IMAGE and the GREEN one is the IMAGE. How would you describe the reflection? The IMAGE has reflected across ____________. ABCDE Coordinates for Point A (_____ , _____) A B Coordinates for Point A’ (_____ , _____) D E C Coordinates for Point B (_____ , _____) E’ D’ C’ Coordinates for Point B’ (_____ , _____) A’ B’ A’B’C’D’E’
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ABCDE A’B’C’D’E’ (_____ , _____) (_____ , _____) (_____ , _____)
The BLUE pentagon is the PRE-IMAGE and the GREEN one is the IMAGE. How would you describe the reflection? The IMAGE has reflected across ____________. ABCDE Coordinates for Point C (_____ , _____) A B Coordinates for Point C’ (_____ , _____) D E C Coordinates for Point D (_____ , _____) E’ D’ C’ Coordinates for Point D’ (_____ , _____) A’ B’ A’B’C’D’E’
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Storm Check (Think, Write, Discuss, Report)
What rule for changes in coordinates would you create for reflections across the x-axis? A reflection across the x-axis changes the original pre-image coordinates from (x, y) to _______________________________________. R x-axis(x, y) (____ , ____)
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(_____ , _____) (_____ , _____) (_____ , _____) (_____ , _____)
The BLUE triangle is the PRE-IMAGE and the GREEN triangle is the IMAGE. How would you describe the reflection? The IMAGE has reflected across ____________. ABC A’B’C’ Coordinates for Point A (_____ , _____) A A’ Coordinates for Point A’ (_____ , _____) B B’ C C’ Coordinates for Point B (_____ , _____) Coordinates for Point B’ (_____ , _____)
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Storm Check (Think, Write, Discuss, Report)
What rule for changes in coordinates would you create for reflections across the y-axis? A reflection across the y-axis changes the original pre-image coordinates from (x, y) to _______________________________________. R y-axis(x, y) (____ , ____)
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Reflection Vocabulary
Pre-Image Image Axis of Reflection
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REFLECTION across y = x y = x (a, b) (b, a)
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REFLECTION (Flip): There are 4 main axes of reflection:
x-axis (a, b) (a, -b) y-axis (a, b) (-a, b) y = x (a, b) (b, a) y = -x (a, b) (-b, -a)
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Date: Title: IM1 – G-CO-4 Lesson 2 Reflections Learning Target By the end of the period, I will create a definition of reflection in 2 dimensions and apply that definition to a given object. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
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Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section ______ 3) Section ______ TxtBk. Problems_________ Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due
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