Name: Andrea Sisk Date: January 26, 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: 1/26 Day: B “Do Now”- Collins 2: In three lines, explain what it means for figures to be similar. Give an example. “Mini Lesson” – Parallel Lines and Proportional Parts – 6.4 Day 1 “Guided Practice” – Students will use proportional parts of triangles to solve problems. “Independent Practice” Students will write find the length of a side, determine whether lines are parallel, determine the midsegment of a triangle, and determine whether segments are congruent. “Formative Assessment” - Observe students during “Do Now”, “Guided Practice” and “Independent Practice” Tuesday Date: 1/27 Day: A “Do Now”- Solve problems with triangles and parallel lines. “Mini Lesson” – Parallel Lines and Proportional Parts – 6.4 Day 2 “Guided Practice” – Students will use proportional parts of triangles to solve problems. “Independent Practice” Students will write find the length of a side, determine whether lines are parallel, determine the midsegment of a triangle, and determine whether segments are congruent. “Formative Assessment” - Observe students during “Do Now”, “Guided Practice” and “Independent Practice” 6.4 Day 1 p. 3112 #14-26, 33, 6.4 Day 2 Practice 34 Worksheet Wednesday Date: 1/28 Day: B “Do Now” – Using coordinate geometry, determine the perimeter of a triangle. “Mini Lesson” – Parts of Similar Triangles – 6.5 Day 1 “Guided Practice” – Recognize and use proportional relationships of corresponding perimeters, angle bisectors, altitudes, and medians of similar triangles. “Independent Practice” – Students will determine perimeters, medians, angle bisectors, and altitudes of similar triangles. “Formative Assessment” - Observe students during “Do Now”, “Guided Practice” and “Independent Practice” 6.5 Day 1 p. 320 #10-15, 1827 Thursday Date: 1/29 Day: A “Do Now” – Solve problems with corresponding parts of similar triangles. “Mini Lesson” – Parts of Similar Triangles – 6.5 Day 2 “Guided Practice” – Recognize and use proportional relationships of corresponding perimeters, angle bisectors, altitudes, and medians of similar triangles. “Independent Practice” – Students will determine perimeters, medians, angle bisectors, and altitudes of similar triangles. “Formative Assessment” - Observe students during “Do Now”, “Guided Practice” and “Independent Practice” 6.5 Day 2 Practice Worksheet *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections Friday Date: 1/30 Day: B “Do Now” – Collins 1: Write three things that will be problematic for you for your test on Tuesday. “Mini Lesson” – Parts of Similar Triangles – 6.5 Day 3 “Guided Practice” – Recognize and use proportional relationships of corresponding perimeters, angle bisectors, altitudes, and medians of similar triangles. “Independent Practice” – Students will determine perimeters, medians, angle bisectors, and altitudes of similar triangles. “Formative Assessment” - Observe students during “Do Now”, “Guided Practice” and “Independent Practice” Applications worksheet