Name: Andrea Sisk Date: January 20, 2015 WOODLAND HILLS SECONDARY LESSON PLANS Content Area: Geometry Length of Lesson: 10 days STAGE I – DESIRED RESULTS Lesson Topic (Modules, if applicable): Proportions and Similarity Big Ideas: CC.2.3.HS.A.5 Create justifications based on transformations to establish similarity of plane figures. CC.2.3.HS.A.6 Verify and apply theorems involving similarity as they relate to plane figures. Understanding Goals (Concepts): How ratios and proportions apply to similar figures. How scale factor is used in solving of proportions. Recognize and use proportional parts and relationships to solve problems with similar triangles and parallel lines. . Student Objectives (Competencies/Outcomes): 1. Write ratios. Use properties of proportions. 2. Identify similar figures. Solve problems involving scale factors. 3. Identify similar triangles. Use similar triangles to solve problems. 4. Use proportional parts of triangles. Divide a segment into parts. 5. Recognize and use proportional relationships of corresponding perimeters of similar triangles. 6. Recognize and use proportional relationships of corresponding angle bisectors, altitudes, and medians of similar triangles. Essential Questions: Can you… Identify similar polygons? Set up and use ratios and proportions to solve problems with polygons? Recognize and use proportional parts including perimeters, altitudes, angle bisectors, and medians of similar triangles? Vocabulary: Ratio, proportion, means – extremes (cross products), similar polygons, scale factor, midsegment, iteration, fractal, self-similar STAGE II – ASSESSMENT EVIDENCE Performance Task: Formative Assessments: Students will actively participate in mini-lessons, guided and independent Pre-assessments, open-ended higher-order-thinking questions, think-pairpractice, activities (including authentic problem-solving tasks and vocabulary), share, graphic organizers, do nows, observation of guided and independent and group work. Also, students will demonstrate adequate understanding via practice, brief in-class writing prompts various quizzes, a writing assignment, and an end-of-chapter test. Materials and Resources: Textbook and notes STAGE III – LEARNING PLAN Interventions: Flexible grouping, students will be encouraged to attend Math Lab and College and Career Access Center tutoring. Assignments Procedures Instructional Procedures*: Monday Date: 1/19 Day: Tuesday Date: 1/20 Day: B “Do Now”- Students will solve multi step algebraic equations. “Mini Lesson” – Proportions-6.1 Day 1 “Guided Practice” – Write ratios and use properties of proportions. “Independent Practice” Students will write ratios, find extended ratios in triangles, solve proportions by using cross product, and solve problems using proportions. “Formative Assessment” - Observe students during “Do Now”, “Guided Practice” and “Independent Practice” Wednesday Date: 1/21 Day: A “Do Now” – Collins Type 1 Writing: In 4 lines describe how ratios and proportions can be use in everyday situations. “Mini Lesson” – Similar Polygons- 6.2 Day 1 “Guided Practice” – Identify similar figures and solve problems involving scale factors. “Independent Practice” – Students will determine the similarity of polygons, find the scale factor using real life situations, write similarity statements, and find the scale factor between polygons. “Formative Assessment” - Observe students during “Do Now”, “Guided Practice” and “Independent Practice” (6-1) Proportions. Page 285 – 286 # 12 – 22, 25, 28 – 34 even (6-2) Similar Polygons Page 293 – 294 # 11 – 20, 27 – 33, 34 – 38 even Thursday Date: 1/22 Day: B “Do Now” – Students will identify similar figures and solve proportions. “Mini Lesson” – Similar Triangles – 6.3 Day 1 “Guided Practice” – Identify similar triangles and use similar triangles to solve problems. “Independent Practice” – Students will determine whether triangles are similar, find missing parts of similar triangles, and find measurements of real life examples. “Formative Assessment” - Observe students during “Do Now”, “Guided Practice” and “Independent Practice” (6-3) Similar Triangles – Day 1 Page 301 # 10 – 21, 41, 42 *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections Friday Date: 1/23 Day: A “Do Now”- Collins Type 1 Writing: In 4 lines summarize what we learned this week. “Mini Lesson” – Similar Triangles – 6.3 Day 2 “Guided Practice” – Identify similar triangles and use similar triangles to solve problems. “Independent Practice” – Students will determine whether triangles are similar, find missing parts of similar triangles, and find measurements of real life examples. “Formative Assessment” - Observe students during “Independent Practice” (6-3) Similar Triangles – Day 2 – 6-3 Practice Worksheet