Lancaster School District 8th Grade MATH Unit #5 Geometry 2013-14 Unit Title: #5 Geometry Grade: 8 Unit Length: 5 weeks Date Created: 6/18/13 Unit Components/Sub-Headings ANGLES AND TRIANGLES TRANSFORMATIONS TRANSFORMATIONS ON COORDINATE PLANE CONGRUENCE SIMILAR FIGURES MAJOR 8.G.5 MAJOR 8.G.1 MAJOR 8.G.3 MAJOR 8.G.2 MAJOR 8.G.4 MAJOR Supporting Supporting Supporting Supporting Supporting Supporting Additional Additional Additional Additional Additional Additional Common Core Content Standards Unit Vocabulary/ Concepts/Topics Parallel lines Transversal Similarity Interior and Exterior Angles Unit Vocabulary/ Concepts/Topics Transformations Rotation Reflection Translation Dilation Lancaster School District Department of Curriculum, Instruction & Assessment Unit Vocabulary/ Concepts/Topics Coordinate plane x-axis y-axis intercepts Unit Vocabulary/ Concepts/Topics Congruence Unit Vocabulary/ Concepts/Topics Similarity Similar figures Unit Vocabulary/ Concepts/Topics 8th Math Unit #5 June 19, 2013 Lancaster School District Prior knowledge to build on Protractors and measuring angles, degrees in a triangle Prior knowledge to build on: Line segment Prior knowledge to build on UNDERSTANDING OF COORDINATE PLANE Prior knowledge to build on Objectives/Learning Targets: The student will . . ./I can . . . 1. I can use rotations, reflections, and translations in order to determine if 2 figures are congruent. 2. I can use rotations, reflections, and translations in order to determine if 2 figures are similar. 3. I will use coordinate notation to describe the change of a figure on the plane. 4. I can find the interior and exterior angles of a triangle. Prior knowledge to build on Prior knowledge to build on CC Standards for Mathematical Practice 1. 2. 3. 4. 5. 6. 7. 8. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. EMPHASIS FOR THIS UNIT: #4 #5 5. I can find angles created when parallel lines are cut by a transversal. 6. Unit Resources/Materials/Strategies Lancaster School District Department of Curriculum, Instruction & Assessment 8th Math Unit #5 June 19, 2013 3 Student Activities http://ca.pbslearningmedia.org/resource/e036d693-e19c4e34-a558-5ccad0a251bd/e036d693-e19c-4e34-a5585ccad0a251bd/ (requires computer) Textbook Teacher Resource Kit 8.G.1-4: 7th Grade Text Book Ch. 9 www.sharemylesson.com/teachingresoure/transformations-rotations-jigsaw-6159364/ Internet Sites www.brightstorm.com/math/geometry/transformations www.mathisfun.com/geometry/transformations www.misterteacher.com/abc.html www.gradeamathhelp.com/transformation-geometry.html www.mathisfun.com/geometry/congruent.html www.mathisfun.com/geomtery/congruent-angles www.khanacademy.org/math/geometry/congruent-triangles www.mathisfun.com/geometry/exterior-angle.html http://www.onemathematicalcat.org/Math/Geometry_obj/int_ext_angles_triangles.htm www.kutasoftware.com www.sharemylesson.com/teachingresource/transformations-reflections-rotations-hunt6124065/ www.sharemylesson.com/teachingresource/transformation-golf-6030417/ Collaboration Problem Solving Translation/Rotation Real World Applications Your construction company has been commissioned to create the layout of a new mobile home park. Upon placing the first unit, you realize that it is in the wrong plot, facing the wrong direction, and it is too small as well. Technology Smartboard Manipulatives/Visuals Compass Graph Paper Protractor Tangram blocks ruler Supplemental Materials You have planted it the second quadrant facing north. It needs to be rotated around the manager’s office (origin) to face south, be located in quadrant four, and be doublewide (dilate with respect to the origin). ASSESSMENT/Evidence of Learning Select and Describe (Choose the best tool/s for this unit; not all are required) Lancaster School District Department of Curriculum, Instruction & Assessment FLEXIBLE AND RESPONSIVE INSTRUCTION Select/create corrective and enrichment activities/strategies 8th Math Unit #5 June 19, 2013 4 Selected response (e.g., multiple choice, matching, true/false) Identify translations, reflections, rotations, dilations (1-8 questions) Constructed response (e.g., fill-in-the-blank, short answer, label, graphic) Translate, reflect, rotate, or dilate a pre-image (6 questions) Label coordinates of new image. Unit Performance Task Products (e.g., graph, model, project, poster) Transformation Poster and presentation (group activity) Interventions re-teaching alternative textbooks alternative materials workbooks and study guides academic games learning kits cooperative groups/teams peer and individual tutoring learning centers and laboratories technology-assisted instruction (e.g., Podcasts, internet applications, video) Enrichments/Extensions •tutoring peers •developing practice exercises •developing related media materials •completing special projects and experiments •developing games, problems, and contests •using advanced computer-assisted/web-based lessons •locating background materials for future or current topics •developing additional formative assessments •planning to teach a mini-unit •creating bulletin boards and displays •applying knowledge to a new situation Performances (e.g., class presentation, explanation of problem solving method) Process-focused (e.g., critique thinking of others, justify process & results) Student Self-Assessment (e.g., journal reflection, portfolio) Portfolio (e.g., collections of products, performances, artifacts, tests) Lancaster School District Department of Curriculum, Instruction & Assessment 8th Math Unit #5 June 19, 2013