Name: Andrea Sisk Date: 11-3-14 WOODLAND HILLS SECONDARY LESSON PLANS Content Area: Geometry Length of Lesson: 16 days STAGE I – DESIRED RESULTS Lesson Topic (Modules, if applicable): Parallel and Perpendicular Lines Big Ideas: G.2.1.2.1 Calculate the distance and/or midpoint between two points on a number line or on a coordinate plane. G.2.1.2.2 Relate slope to perpendicularity and/or parallelism (limit to linear algebraic equations). G.2.1.2.3 Use slope, distance, and/or midpoint between two points on a coordinate plane to establish properties of a two‐dimensional shape. CC.2.3.8.A.3 Understand and apply the Pythagorean theorem to solve problems. CC.2.3.HS.A.11 Apply coordinate geometry to prove simple geometric theorems algebraically. Understanding Goals (Concepts): The special angel relationships that result when a transversal intersects parallel lines. Slope and forms for the equation of a line are reviewed, problems are solved by writing linear equations and using the slope to determine if liens are parallel, perpendicular, or neither. Student Objectives (Competencies/Outcomes): 1.Identify the relationships between two lines or two planes 2.Name angles formed by a pair of lines and a transversal 3.Use the properties of parallel lines to determine congruent angles 4.Use algebra to find angle measures 5.Recognize angle conditions that occur with parallel lines. 6.Prove that two lines are parallel based on a given angle relationships. Essential Questions: • Can you identify the relationship between 2 lines or 2 planes •Name angles formed by a pair of lines and a transversal •Use the properties of parallel lines to determine congruent angles •Use algebra to find angle measures •Find slopes of lines and use slope to identify parallel and perpendicular lines •Write an equation of a line given information about its graph and solve problems by writing equations •Recognize angle conditions that occur with parallel lines and prove 2 lines are parallel based on given conditions? Vocabulary: Parallel lines, parallel planes, skew lines, Transversal, consecutive interior angles, alternate interior angles, alternate exterior angles, corresponding angles, slope, rate of change, slopeintercept form, point slope form STAGE II – ASSESSMENT EVIDENCE Performance Task: Formative Assessments: Students will actively participate in guided and independent practice, activities, Pre-assessments, open-ended higher-order-thinking questions, think-pairand group work. share, graphic organizers, do nows, observation of guided and independent Also, students will demonstrate adequate understanding via various quizzes, practice, brief in-class writing prompts writing assignment, and an end-of-chapter test. STAGE III – LEARNING PLAN Interventions: Flexible grouping, students will be encouraged to attend Math Lab and College and Career Access Center tutoring. Materials and Resources: Textbook and notes Instructional Procedures*: Monday Date: 11/3 Day: B Tuesday Date: 11/4 Day: A Wednesday Date: 11/5 Day: B Thursday Date: 11/6 Day: Friday Date: 11/7 Day: Procedures Assignments “Do Now” – Write the “Do Now” – Prove that “Do Now” – N/A equation of a line two lines are parallel “Mini Lesson” – N/A parallel to another line using slope. “Guided Practice” –N/A given a point and an “Mini Lesson” – Proving “Independent Practice” equation of the line. Lines Parallel 3.5 Day 2 – Students will review “Mini Lesson” – Proving “Guided Practice” – for their Chapter 3 Lines Parallel 3.5 Day 1 Recognize angle Assessment – Parallel “Guided Practice” – conditions that occur and Perpendicular Lines Recognize angle with parallel lines. Prove “Formative Assessment” conditions that occur that two lines are – Observe students with parallel lines. Prove parallel based on given during “Independent that two lines are angle relationships. Practice” parallel based on given “Independent Practice” angle relationships. – Students will work on “Independent Practice” practice and application – Students will identify problems that involve parallel lines, solve proving lines are problems with parallel parallel. lines, prove lines “Formative Assessment” parallel, and determine - Observe students if lines are parallel from during “Do Now” and their slopes. “Independent Practice” “Formative Assessment” – Observe students during “Do Now” and “Independent Practice” Review for test (3-5) Proving Lines (3-5) Proving Lines Parallel – Day 1 Page 155 Parallel – Day 2 Section 3# 13 – 24, 26 – 31, 38, 39 5 Practice Worksheet *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections