Name: Andrea Sisk Date: 10-20-14 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: 10/20 Day: B Tuesday Date: 10/21 Day: A Wednesday Date: 10/22 Day: B Thursday Date: 10/23 Day: A Friday Date: 10/24 Day: B Procedures Assignments “Do Now” – Students will complete the Chapter 3 Vocabulary Chart. “Mini Lesson” – N/A “Guided Practice” – N/A “Independent Practice” – Students will work in groups to complete Chapter 3 Word Wall “Formative Assessment” – Observe students during “Do Now” and “Independent Practice” No homework “Do Now” – Collins Type “Do Now” – Identify the “Do Now” – Use algebra “Do Now” – Use the 1 Writing – In 5 lines relationships between to find angle measures. properties of parallel describe what you know two lines and two lines to determine “Mini Lesson” – Quick about parallel and planes. congruent angles. review of Sections 3.1 perpendicular lines. “Mini Lesson” – Angles and 3.2. “Mini Lesson” – Slopes and Parallel Lines 3.2 of Lines 3.3 Day 1 “Mini Lesson” – Parallel “Guided Practice” –N/A Lines and Transversals Day 1 “Guided Practice” – Find “Independent Practice” 3.1 Day 1 “Guided Practice” –Use slopes of lines. Use – Students will apply “Guided Practice” – the properties of parallel slope to identify parallel their knowledge from Identify the relationships lines to determine and perpendicular lines. Sections 3.1 and 3.2 to between two lines and congruent angles. Use real world application “Independent Practice” two planes. Name algebra to find angle problems. – Students will find the angles formed by a pair measures. slopes of lines, use rate “Formative Assessment” of lines and a “Independent Practice” of change to solve a – Observe students transversal. – Students will problem, determine line during “Do Now” and “Independent Practice” determine angle relationships, and use “Independent Practice” – Students will identify measures, use an slope to graph a line. relationships between auxiliary line, and find “Formative Assessment” lines and planes, identify values of variables - Observe students transversals, and identify within angles. during “Do Now” and angle relationships. “Formative Assessment” “Independent Practice” – Observe students “Formative Assessment” – Observe students during “Do Now” and during “Do Now” and “Independent Practice” “Independent Practice” (3-1) Parallel Lines and (3-2) Angles and Parallel Wrap-Up (3-1) and (3-2) (3-3) Slopes of Lines – Transversals –Day 1 Page Lines – Day 1 Page 136 – 3-1/3-2 Practice Worksheet Day 1 Page 142 # 16 – 38 129 – 130 # 22 – 46 even 137 # 14 – 25, 32 – 36 even *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections