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Course: GEOMETRY Unit of Study: TRANSFORMATIONS/ SIMILAR POLYGONS

Unit Essential Question: How do you describe a transformation algebraically and using matrix operations? How can you determine if two figures are similar?

Beginning Date: 11/14/2011 Ending Date: 11/18/2011

State competency goal and objective: 3.01 - Describe the transformation (translation, reflection, rotation, dilation) of polygons in the coordinate plane in simple algebraic terms. 3.02: Use matrix operations (addition, subtraction, and scalar multiplication) to describe the transformation of polygons in the coordinate plane. 2.03a, b & c: Apply properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs: a) Triangles. b) Quadrilaterals. c) Other polygons.

| | | |Teacher Input | | |

| | | |(2. Presentation) | | |

| | |Activating Strategy/ | | |Closure |

|Date |Essential |Emotional Hook |Student Active Participation |Summarizing Activity | |

| |Question (s): |(1. Start the lesson) |(3. Guided practice) |(5. Evaluation) | |

| | | | | |Homework |

| | | |Additional Student Activities | | |

| | | |(4. Independent practice) | | |

| |How do you describe a | |Instruction: | | |

| |dilation algebraically and| |7.5 Multiple Transformations: Glide Reflections and Compositions | |Discussion/Summarize of transformations |

|11/14/11 |using matrix operations? |7.5 Lesson Opener – |8.7 Dilations Section |Indicators Pg. 22: C-E |and terms. |

| |How do I find the final |(Chapter 7 Resources) |Guided Practice: |Pg. 23: G | |

| |image if the | |7.5 Concept Activity | |CHP.7.TRANSFORMATIONS AND |

| |transformation involves | |Independent Practice: | |MATRICES.WORKSHEET.doc |

| |more than one mapping? | |Matho- continued | | |

| | | |CHP.7.TRANSFORMATIONS AND MATRICES.WORKSHEET.doc | | |

| | | |Instruction: |Ticket out the door. | |

| | | |8.2 Problem Solving in Geometry with Proportions |1.[pic] 2. [pic] | |

| |How do you describe a |Warm- ups: | | |Answer the Questions from Algebra |

| |transformation |5 Review from |Guided Practice: |3. simplify: 12/20 = |Activity |

|11/15/11 |algebraically and using |Transformation aligned/ |Problem Solving in Geometry with Proportions Section 8.2 Algebra Activity | | |

| |matrix operations? |test |8.1 Ratios & Proportions: Guided notes- with examples |4. | |

| | |Warm ups 11-15-11.docx | | | |

| | | |Independent Practice: | |None |

| | | |Unit 7 Assessment | | |

| | |8.3 Lesson opener |Instruction: | | |

| | |(Chapter 8 Resources) |8.3 Similar Polygons |Give a written explanation of |Popsicle stick questioning: |

|11/16/11 |How do you determne if two|Put up several examples of |with PowerPoint |how to solve for x, y, and z. |Randomly choose students to recap main |

| |polygons are similar? How |similar polygons and |Guided Practice: | |points of lesson. |

| |do you find missing |non-similar polygons. Let |8.3 Concept Activity Making Conjectures about Similarity: | | |

| |measures of similar |students investigate why |CHP.8.8.3.SIMILAR.POLYGONS.PPT. handout | | |

| |polygons? |they are/not. |Independent Practice: | |*8.3 Practice (A, B, or C) - if student |

| | | |8.3 Practice A, B, & C | |didn’t finish in class. |

| | | |Instruction: [pic] | |3, 2, 1… |

| |How do you determine if |Warm- ups: |8.4 Similar Triangles | |3 examples of similar triangles |

|11/17/11 |two triangles are similar?| |8.5 Proving Triangles are Similar |Quiz: 8.1 to 8.3 |2 things you learned |

| |How do you prove that two |5 Review from Similar |Guided Practice: | |1 question/ thing you are unclear of. |

| |triangles are similar? |aligned |Similar triangles – Kuta | | |

| | | |Independent Practice: | | |

| | | |CHP.8.8.4.A.POSTULATE.FOR.SIMILAR.TRIANGLES.PPT.doc | | |

| | | |Quiz: 8.1 to 8.3 | | |

| | |Warm- ups: |Instruction: [pic] | | |

| |How do you find missing | |8.6 Proportions and Similar Triangles | |Review of Chapter 8: Basketball or |

|11/18/11 |measures of similar |5 Review from Similar |PowerPoint- continued |Checkpoint Exercises within |Vocabulary Pyramids |

| |triangles using |aligned |Guided Practice: |notes | |

| |proportions? | |8.6 Guided notes with examples | | |

| | | |Independent Practice: | | |

| | | |Proportional parts in triangles and parallel lines | |None |

| | | |Review of Chapter 8: group | | |

|Literacy |Dilations composition |center of rotation (origin) | Similar Proportion cross product |• isometry • reflection |line of relfection |

|enhancements/Key |Scalar multiplication |clockwise |reflection in a horizontal line identity |•pre-image • image •mapping |x-axis reflection |

|Vocabulary: |horizontal dimension change |counterclockwise (standard) |matrix• vertex matrix reflection in|•transformation matrix • translation |y-axis reflectoin |

| |vertical dimension change |multiples of 90 ( 180, 270, 360) |a vertical line | |y = x reflection•rotation |

|Adaptations/ |Use patty paper |For more resources for matrix | |8.3 Practice A, B, & C- A Brad/ | |

|Differentiation: |Use graph paper to map figures |representation, use Alg II resources | |Dominique, B- Jessy, C- Alex | |

| |Be sure to use the notation (x',y') = |for Section 4-4 and the appendix in the| | | |

| |Use geometer’s sketchpad as technology |Geometry text Pg 864 | | | |

| |opener (preview version) | | | | |

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