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Name: Andrea Sisk Date: 9-8-14 WOODLAND HILLS SECONDARY LESSON PLANS Content Area: Geometry Length of Lesson: 16 days STAGE I – DESIRED RESULTS Lesson Topic (Modules, if applicable): Points, Lines, Planes, and Angles Big Ideas: M11.B.2.1 Use and/or compare measurements of angles. M11.C.1.2 Recognize and/or apply properties of triangles and quadrilaterals. M11.C.3.1 Solve problems using analytic geometry. CC.2.3.HS.A.11 Apply coordinate geometry to prove simple geometric theorems algebraically. Student Objectives (Competencies/Outcomes): 1.Identify and model points, lines, and planes. Identify collinear and coplanar points and intersecting lines and planes in space. 2.Measure segments and determine accuracy of measurement. Compute with measures. Relate probability to segment measure. 3.Find the distance between two points. Find the midpoint of a segment. 4.Use a model to demonstrate the Pythagorean Theorem. 5.Measure and classify angles. 6.Identify and use congruent angles and the bisector of an angle. 7.Identify and use special pairs of angles. 8.Identify perpendicular lines. Use a compass and a straight edge to construct perpendicular lines. 9.Identify and name polygons. Find perimeters of polygons. Essential Questions: •Where do you see points, lines, and planes in everyday life? •How do you use a ruler and compass to draw and label lines, planes, and geometric shapes? •How and why do the distance formula, Pythagorean theorem, and midpoint formula work? •What are the angle classifications and relationships? •What are the polygon classifications and what properties do each polygon have? Understanding Goals (Concepts): Points, lines and planes – the building blocks of geometry. Line segments, rays, angles, and polygons are introduced. Students explore congruent segments and angles, learn to construct them and expand knowledge of Pythagorean theorem to master the distance and midpoint formulas. Vocabulary: Point, line, plane, collinear, coplanar, undefined term, space, locus, line segment, precision, betweenness of points, between, congruent, midpoint, segment bisector, degree, ray, opposite rays, angle, sides, vertex, interior, exterior, right angle, acute angle, obtuse angle, angle bisector, adjacent and vertical angles, linear pair, complementary and supplementary angles, perpendicular, polygon, concave, convex, n-gon, regular polygon, perimeter 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 a mid-chapter practice, brief in-class writing prompts partner test, an end-of-chapter test, a take-home test, and a drafting project. 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, notes, rulers, protractors Procedures Instructional Procedures*: Monday Date: 9/1 Day: B “Do Now” – Students will find the distance between two points. “Mini Lesson” – Midpoint 1.3 Day 2 “Guided Practice” – Find the distance between two points. Find the midpoint of a segment. “Independent Practice” – Students will find coordinates of midpoints, and use algebra to find measures. “Formative Assessment” – Observe students during “Do Now”, “Guided Practice” and “Independent Practice” Tuesday Date: 9/2 Day: A “Do Now” – N/A “Mini Lesson” – N/A “Guided Practice” – N/A “Independent Practice” – Students will complete assessment on Points, Lines, Planes, Linear Measure, Distance and Midpoint, with a partner. “Formative Assessment” – N/A Wednesday Date: 9/3 Day: B “Do Now” – Collins Type 1 Writing: List 4 things you already know about angles. “Mini Lesson” – Angle Measure 1.4 Day 1 “Guided Practice” – Measure and classify angles. Identify and and use congruent angles and the bisector of an angle. “Independent Practice” – Students will identify angles and their parts. “Formative Assessment” – Observe students during “Do Now”, “Guided Practice” and “Independent Practice” Thursday Date: 9/4 Day: A “Do Now” – Students will identify various angles and their parts. “Mini Lesson” – Angle Measure 1.4 Day 2 “Guided Practice” – Measure and classify angles. Identify and and use congruent angles and the bisector of an angle. “Independent Practice” – Students will measure and classify angles. “Formative Assessment” – Observe students during “Do Now”, “Guided Practice” and “Independent Practice” Friday Date: 9/5 Day: B “Do Now” – Collins Type 1 Writing: In 4 lines summarize what we learned this week. “Mini Lesson” – Angle Measure 1.4 Day 3 “Guided Practice” – Measure and classify angles. Identify and and use congruent angles and the bisector of an angle. “Independent Practice” – Students will determine congruency of angles, and use bisectors of angles to solve for missing parts. “Formative Assessment” – Observe students during “Do Now”, “Guided Practice” and “Independent Practice” Assignments (1-3) Midpoints – Day 2 Page 26 # 31-42 Complete any missing homework assignments. (1-4) Angle Measure – Day 1 Page 33-34 # 4-6, 12-24 (1-4) Angle Measure – Day 2 Page 34 # 25-33 *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections (1-4) Angle Measure – Day 3 Page 34 # 34 – 39, 52-60, 61, 63, 65