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Lesson Plan : Geometry Transformations
Teacher Name: | Delciane Wright |
Grade: | Grade 9-10 |
Subject: | Math |
Topic: | Reflections and Translations as Transformations |
Content: | line of reflection - line evenly separating preimage and image line of symmetry - line in an object creating 2 same, equal parts perpendicular bisector - line of reflection bisects track from A to A' into two equal parts while also forming 90 degree right angles parallel lines - line that will never intersect with each other |
Goals: | Students will understand the concepts of reflection and translation as transformations of points, lines and objects |
Objectives: | Students will be able to reflect a point, line, or object across a line of reflection in the coordinate plane; Students will be able to interpret a reflected point, line or object; Students will be able to translate a point, line, or object to a new location in the coordinate plane; Students will be able to interpret a translated point, line or object |
Materials: | Graph paper Colored pencils (optional) |
Introduction: | Review introduction from Wednesday's class Warm-up: A(1,3), B(4,3), C(4,6) reflect over x-axis, y-axis, y = x, y = 1, x = -1 Reflection - mirrors Symmetry of objects, shapes |
Development: | List answers to Warmup to show patterns Where patterns not found , use procedure - count to line of reflection, keep counting same amount, same direction for reflected point Draw lines to show points become lines become an object Examine notation A ---> A' Rx-axis Translation - image shifts, slides from preimage by amount of x and amount of y Examine notation B ---> B' T+x,+y |
Practice: | A(1,2)-->T4,7 A'( )5,9 B(-3,-2)-->T-2,3 B'( )-5,1 C(-2,3)-->T-2,-5 C'( )-4,-2 D(4,-1)-->T1,-6 D'( )5,-7 |
Accommodations: | Reflections hold distance, not orientation visual diagram Translations hold distance and orientation visual diagram |
Checking For Understanding: | Questions: What's necessary for a reflection? Compare and Contrast - Line of Reflection/Line of Symmetry Compare - bisects into 2 equal parts; mirrors other side Contrast - 1 object (Sym) vs. 2 objects (Refl) |
Closure: | Explored transformations using concepts of reflection and translation; next will use concepts of dilation and rotation. H.W. - Pg. 467 ex. 1-6, 8-11, 25-29 Pg. 472 ex. 15-22, 24, 37-39 |
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