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WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name Melissa Broadwater Date 2/06/2012 Edline was updated this week: Length of Lesson 15 days Content Area Math Tech Geometry and Meas. My Class website was updated this week: STAGE I – DESIRED RESULTS LESSON TOPIC:Circles BIG IDEAS: (Content standards, assessment anchors, eligible content) objectives, and skill focus) M11.A.3.2 Use estimation strategies in problem-solving situations. M11.B.2.1 Use and/or compare measurements of angles. M11.B.2.3 Describe how a change in one dimension of a figure (2 or 3 dimensional) affects other measurements of that figure. M11.C.1.1 Identify and/or use parts of circles and segments associated with circles UNDERSTANDING GOALS (CONCEPTS): Students will understand: how to use estimation to solve problems for which an exact answer is not needed. Describe and explain the amount of error that may exist in a computation using estimates. Select and use appropriate units and tools to measure to the degree of accuracy required in particular measurement situations. Measure and compare angles in degrees and radians. Describe how a change in linear dimension of an object affects its perimeter, area and volume. Use the properties of angles, arcs, chords, tangents and secants to solve problems involving circles.Volume of cones, cylinders, spheres, prisms and pyramids ESSENTIAL QUESTIONS: How can we show that volume is an extensions of arithmetic properties and processes, and how can we use polynomials to solve problems? VOCABULARY: • Inscribed, inscribed angle, circumscribed, tangent line, secant line, chord, central angle, arc, minor arc, major arc STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): Students will be able to: 1. Identify and use parts of circles. Solve problems involving the circumference of a circle. 2. Recognize major arcs, minor arcs, semicircles, and central angles and their measures. Find arc length. 3. Recognize and use relationships between arcs and chords, and between chords and themselves. 4. Find measures of inscribed angles. Find measures of angles of inscribed polygons. 5. Use properties of tangents, solve problems involving circumscribed polygons 6. Find measures of angles formed by lines intersecting on or inside, or outside a circle. 7. Find measures of segments that were in the interior or exterior of a circle. 8. Write the equation of a circle, graph a circle on a coordinate plane. STAGE II – ASSESSMENT EVIDENCE PERFORMANCE TASK:Daily warm ups, homework, study island, PSSA anchor test, foresight scores, unit test FORMATIVE ASSESSMENTS: #1. Pre-Assessment #2. Think-Pair-Share #3. Summarizing Main Ideas Others: STAGE III: LEARNING PLAN INSTRUCTIONAL PROCEDURES: MATERIALS AND RESOURCES: Active Engagements used: #1. Note-Taking #2. Compare Contrast Others: warm ups PSSA Warm Up Test whiteboards Describe usage: Check for understanding and summarizing using warm up, homework, formative assessment questioning or exit tickets to determine whether to continue lesson or do interventions as needed. (model, spiral scaffolding, instruct/ reteach as needed) Scaffolding used: #1. Guided Notes #2 . Build Vocabulary Others: Describe usage: Warm up to include spiraling review of prior knowledge to include upcoming lesson. All notes are guided notes to build vocabulary, interspersed with group activities. Graphic organizers utilized when appropriate to compare/contrast CONTENT AREA READING: Guided notes vocabulary INTERVENTIONS: ASSIGNMENTS: Struggling students will be referred to RTII Small group/flexible grouping will occur. Various computer programs. SAP/Guidance referral Various problems as determined by need. Application Problems to be assigned as needed and determined by flexible grouping vocabulary. Other techniques used: MINI LESSON: • Tangent and secant lines, inscribed angles