Name: Andrea Sisk Date: May 11, 2015 WOODLAND HILLS SECONDARY LESSON PLANS Content Area: Geometry Length of Lesson: 10 days STAGE I – DESIRED RESULTS Lesson Topic (Modules, if applicable): Quadrilaterals Big Ideas: Mathematical statements can be justified through deductive and inductive reasoning and proof. Numbers, measures, expressions, equations, and inequalities cab represent mathematical situations and structures in many equivalent forms. Patterns exhibit relationships that can be extended, described, and generalized. Geometric relationships can be described, analyzed, and classified based on spatial reasoning and/or visualization. Understanding Goals (Concepts): Exploring quadrilaterals including interior and exterior angles of polygons and properties of quads and special quads. Recognize and apply properties of parallelograms – extending that to rectangles, rhombi, and squares, trapezoids and coordinate proof of quads using properties Student Objectives (Competencies/Outcomes): 1. Find the sum of the measures of the interior angles of a polygon. Find the sum of the measures of the exterior angles of a polygon. 2. Recognize and apply properties of the sides, angles, and diagonals of a parallelogram. 3. Recognize the conditions that ensure a quadrilateral is a parallelogram. Prove that a set of points forms a parallelogram in the coordinate plane. 4. Recognize and apply properties of rectangles. Determine whether parallelograms are rectangles. 5. Recognize and apply the properties of rhombi. 6. Recognize and apply the properties of squares. 7. Recognize and apply the properties of trapezoids. 8. Solve problems involving the medians of trapezoids. 9. Position and label quadrilaterals for use in coordinate proofs. 10. Prove theorems using coordinate proofs. Essential Questions: How can you use coordinates and algebraic techniques to represent, interpret, and verify geometric relationships? How do you use the ideas of direct and indirect proof, and counter-examples to verify valid conjectures and refute invalid conjectures? How can patterns be used to describe relationships in mathematical situations? How can recognizing repetition or regularity assist in solving problems more efficiently? How are spatial relationships, including shape and dimension, used to draw, construct, model, and represent real situations or solve problems? How can the application of the attributes of geometric shapes support mathematical reasoning and problem solving? How can geometric properties and theorems be used to describe, model, and analyze situations? Vocabulary: Quadrilateral, parallelogram, rectangle, rhombus, square, trapezoid, isosceles trapezoid 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 an end-of-chapter test and project. Materials and Resources: Textbook and notes Assignments Procedures Instructional Procedures*: Monday Tuesday Date: 5/11 Day: A Date: 5/12 Day: B “Do Now”- Find the “Do Now”- N/A median of a set of “Mini Lesson” – N/A numbers “Guided Practice” – N/A “Mini Lesson” –Box “Independent Practice” and-Whiskers – Review Quadrilaterals “Guided Practice” – material from Chapter 8 Construct and analyze “Formative Assessment” box-and-whisker plots – Observe students “Independent Practice” during “Independent Construct and analyze Practice”. box-and-whisker plots “Formative Assessment” – Observe students during “Do Now”, “Guided Practice” and “Independent Practice”. Review for Keystone Review for Quads Test STAGE III – LEARNING PLAN Interventions: Flexible grouping, students will be encouraged to attend Math Lab and College and Career Access Center tutoring. Wednesday Date: 5/13 Day: A “Do Now”- N/A “Mini Lesson” – N/A “Guided Practice” – N/A “Independent Practice” – Review Quadrilaterals material from Chapter 8 “Formative Assessment” – Observe students during “Independent Practice”. Review for Quads Test Thursday Date: 5/14 Day: B “Do Now”- N/A “Mini Lesson” – N/A “Guided Practice” – N/A “Independent Practice” – Review Quadrilaterals material from Chapter 8 “Formative Assessment” – Observe students during “Independent Practice”. Review for Quads Test *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections Friday Date: 5/15 Day: A “Do Now”- N/A “Mini Lesson” – N/A “Guided Practice” – N/A “Independent Practice” – Take Quadrilaterals test “Formative Assessment” – Observe students during “Independent Practice”.