IM1 – G-CO-4 Lesson 1 Translations 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.

Date: Title: IM1 – G-CO-4 Lesson 1 Translations Learning Target By the end of the period, I will create a definition of translation 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.

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

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

Translation Vocabulary Pre-Image Image Orientation Distance

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

Translations PRESERVE: Size Shape Orientation Notes: TRANSLATION (Slide): moves all points in a plane a given direction and a fixed distance Translations PRESERVE: Size Shape Orientation

<x, y> <__, __> The blue pentagon is the PRE-IMAGE and the green pentagon is the IMAGE. How would you describe the translation? + - The IMAGE has moved ___ units right / left and ___ units up /down from the PRE-IMAGE. + - <x, y> <__, __> Problem A

<x, y> <__, __> Triangle JKL is the PRE-IMAGE and Triangle PQR is the IMAGE. How would you describe the translation? + - The IMAGE has moved ___ units right / left and ___ units up /down from the PRE-IMAGE. + - <x, y> <__, __> Problem B

Notes: ABCDE A’B’C’D’E’ Transformation Notation: Pre-Image: original figure Image: after transformation. (Use prime’ notation) C B D C’ B’ D’ A E A’ E’

Translate by the vector <x, y> A-B Problem A/B notes: Translate by the vector <x, y> y A A’ A’ <x, y> <__, __> (1, 6) A A’ A’’ A’’ <x, y> <__, __> x

Storm Check (Think, Write, Discuss, Report) What is the difference between the pre-image and the image? The pre-image is _________________________ _______________________________________. The image is ____________________________

Translate by the vector <x, y> Partner Practice: Translate by the vector <x, y> y A A’ <x, y> <__, __> (1, 6) A A’’ A’ A’’ A’ <x, y> <__, __> x

Notes: Vector Notation <5,-2> Coordinate Notation T(x, y) -> (x+5, y-2) ABCDE A’B’C’D’E’ C B D C’ B’ D’ A E A’ E’

(____, ____) (____, ____) (x, y) (x, y) Coordinate Notation: y A A’ A-B Problem A/B notes: Coordinate Notation: y A A’ A’ (x, y) (____, ____) (1, 6) A A’ A’’ A’’ (x, y) (____, ____) x

(____, ____) (____, ____) (x, y) (x, y) Coordinate Notation: Partner Practice: Coordinate Notation: y A A’ (x, y) (____, ____) (1, 6) A A’’ A’ A’’ A’ (x, y) (____, ____) x

Translation Vocabulary Pre-Image Image Orientation Distance

Date: Title: IM1 – G-CO-4 Lesson 1 Translations Learning Target By the end of the period, I will create a definition of translation 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.