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Math 8 Periods 5 & 6 October 5 - 9, 2015 Objectives: The students will Improve fluency and accuracy of basic calculations Be introduced to vocabulary and rotation related to rigid motions (e.g., transformation, image, and map) Be introduced to transformations of the plane and learn that a rigid notion is a transformation that is distance preserving Use transparencies to imitate a rigid motion that moves or maps one figure to another figure in the plane Perform translations of figures along a specific vector and label the image of the figure using appropriate notation Learn that a translation maps lines to lines, rays to rays, segments to segments, and angles to angles Module 2: The Concept of Congruence Geometry (G) Understand congruence and similarity using physical models, transparencies, or geometry software. Enduring Understandings • In congruent polygons, corresponding sides and angles are congruent. • A figure with line symmetry can be folded over a line so that the two halves match. • In a reflection, the image is congruent to the original figure, but the orientation of the image is different from that of the original figure. • In a translation, the image is congruent to the original figure, and the orientation of the image is the same as that of the original number. Essential Questions: • What is a transformation? • What is the difference between a translation, rotation, and reflection? • Can you form an image from a pre-image using different transformations? Focus Standards: 8.G.A.1 Verify experimentally the properties of rotations, reflections, and translations: a. Lines are taken to lines, and line segments to line segments of the same length. b. Angles are taken to angles of the same measure. c. Parallel lines are taken to parallel lines. Mathematical Practices MP2 Reason abstractly and quantitatively MP3 Construct viable arguments and critique the reasoning of others MP5 Use appropriate tools strategically MP6 Attend to precision Class Work Monday October 5 1. End of Module Assessment Tuesday October 6 1. Complete Agenda 2. Module 2 pre-assessment 3. Module 2 vocabulary 4. M2, Lesson 1, “Why Move Things Around?” Homework None L1: Exploratory Challenge (S.1`-S.2) L1: Problem Set (S.3) Frayer Model Vocabulary “cards” SmartBoard interactive lesson Guided Notes and practice Wednesday October 7 1. Facts Test 2. M2, Lesson 1, then Lesson 2, “Definition of Translation and Three Basic Properties” SmartBoard interactive lesson Guided notes and practice Thursday October 8 1. Facts Test 2. M2, L3, “Translating Lines” (Student Materials, p. S.8 – S.11) Exploration with Exercises 1-4/Socratic Discussion Guided Notes Interactive SmartBoard Lesson Friday October 9 1. Continue/Complete Lesson 3 2. Exit Ticket Lesson 3 Translations & Vectors (handout Complete Lesson 3 Exercises/Problem Set as directed