WOODLAND HILLS ACADEMY LESSON PLAN SAS and Understanding By Design Template Name James Blaney Website Update Yes Edline Updated Yes Date 12/10/12 Length of Lesson 12 days Content Area Geometry STAGE I – DESIRED RESULTS LESSON TOPIC: BIG IDEAS: POINTS, LINES, PLANES and ANGLES UNDERSTANDING GOALS (CONCEPTS): Students will understand: 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. (Content standards, assessment anchors, eligible content) objectives, and skill focus) M11.B.2.1 M11.C.1.2 Use and/or compare measurements of angles. Recognize and/or apply properties of triangles and quadrilaterals. M11.C.3.1 Solve problems using analytic geometry. 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? STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): Students will be able to: 1. 2. 3. 4. 5. 6. 7. 8. 9. Identify and model points, lines, and planes. Identify collinear and coplanar points and intersecting lines and planes in space. [1 day] Measure segments and determine accuracy of measurement. Compute with measures. Relate probability to segment measure. [2 day] Find the distance between two points. Find the midpoint of a segment. [1 –2 day] Use a model to demonstrate the Pythagorean Theorem. [1 day] Measure and classify angles. [1 day] Identify and use congruent angles and the bisector of an angle. [1 day] Identify and use special pairs of angles. [1 day] Identify perpendicular lines. Use a compass and a straight edge to construct perpendicular lines. [1 day] Identify and name polygons. Find perimeters of polygons. [1 day, review and test 2 days] STAGE II – ASSESSMENT EVIDENCE PERFORMANCE TASK: Students will actively participate in class examples, discussion, class work, and whiteboards. OTHER EVIDENCE: Daily warm ups, homework, Keystone Classroom Diagnostic Tool, Exit Tickets, Study Island, foresight scores, unit test and quizzes STAGE III: LEARNING PLAN INSTRUCTIONAL PROCEDURES: (Active Engagement, Explicit Instruction, Metacognition, Modeling, Scaffolding) DAILY: Warm up to include spiraling review of prior knowledge to include upcoming lesson DAILY: Check for understanding using warm up, homework, exit slips, or formative assessment questioning to determine whether to continue lesson or do interventions as needed. (model, spiral scaffolding, instruct/ reteach as needed) MATERIALS AND RESOURCES: INTERVENTIONS: Unit 1 Points, Lines, and Planes (Glencoe Geometry text) Summer Skills review & test Skills Tutor Math Lab Study Island Keystone Classroom Diagnostic Tool Small group/flexible grouping will occur. Warm ups (daily) Homework (daily) “Grab & Go” worksheets/ activities Unit Test Additional materials as needed (rulers, compass, grid paper, etc) MINI LESSON: Based on daily assessments (formative and summative), additional modeling, instruction, homework, review, interventions, group work, computer or teacher guided practice will be done. Supplemental\ Adaptive Materials Completed ASSIGNMENTS: p 9-10#13-22, 25-27, 30-46 Skills Practice: pp. 1-6 ( Points , Lines & Planes) p 17 #12-15, 22-27 p 17-19#28-39, 58, 62 Skills Practice: pp. 7-12 (Measuring Line Segments) p 25# 13-30 p 26 #31-42 Skills Practice: pp. 13-18( Distance Between Two Points) p 33-34 #4-6, 12-24 p 34 #25-33 p 34 #34-39, 52-61, 63, 65 Skills Practice: pp. 19-24( Measuring Angles) p 42 #11-25 (skip #17) study guide & intervention 1.5 p 42 #17, 27-35, 37 Skills Practice: pp. 25-30( Pairs of Angles) p 49-50 #12-25, 29-34 p49-50 #26-28 Skills Practice: pp. 31-36( Polygons) review test