Download WOODLAND HILLS SECONDARY LESSON PLANS

WOODLAND HILLS SECONDARY LESSON PLANS Name: William Coles Date: 9-­‐2-­‐14 Lesson Topic (Modules, if applicable): Points, Lines, Planes, and Angles 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. Content Area: Geometry Length of Lesson: 16 days STAGE I – DESIRED RESULTS 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. 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 CC.2.3.HS.A.11 Apply coordinate geometry to prove formulas. simple geometric theorems algebraically. 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? 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 Procedures 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-­‐pair-­‐
and 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 Materials and Resources: Interventions: Textbook, notes, rulers, protractors Flexible grouping, students will be encouraged to attend Math Lab and College and Career Access Center tutoring. Instructional Procedures*: Monday Tuesday Wednesday Thursday Friday Date: 9/1 Day: Date: 9/2 Day: B Date: 9/3 Day: A Date: 9/4 Day: B Date: 9/5 Day: A • “Do Now” – Algebraic • “Do Now” – Draw and • “Do Now” – Students • “Do Now” – Collins Type Equation Review interpret a geometric will draw and measure 1 Writing: In 4 lines • “Mini Lesson” – Points, figure(s). their own line segments. summarize what we Lines and Planes • “Mini Lesson” – Linear • “Mini Lesson” – Linear learned this week. 1.1 Day 1 Measure Measure 1.2 Day 2 • “Mini Lesson” – Distance • “Guided Practice” – 1.2 Day 1 • “Guided Practice” – 1.3 Day 1 Identify and model • “Guided Practice” – Measure segments and • “Guided Practice” – Find points, lines, and planes. Measure segments and determine accuracy of the distance between Identify collinear and determine accuracy of measurement. Compute two points. Find the coplanar points and measurement. Compute with measures. midpoint of a segment. intersecting lines and with measures. “Independent Practice” “Independent Practice” planes in space. “Independent Practice” – Students will measure – Students will find • “Independent Practice” – Students will measure in metric and customary distances on a number – Students will name in metric and customary units, and find line and coordinate lines and planes, model units, and find measurements of plane. points, lines, and planes, measurements of segments algebraically. • “Formative Assessment” draw geometric figures, segments algebraically. • “Formative Assessment” – Observe students and interpret drawings. • “Formative Assessment” – Observe students during “Do Now”, • “Formative Assessment” – Observe students during “Do Now”, “Guided Practice” and – Observe students during “Do Now”, “Guided Practice” and “Independent Practice” during “Do Now”, “Guided Practice” and “Independent Practice” “Guided Practice” and “Independent Practice” “Independent Practice” Assignments 1.1 Day 1: p. 9-­‐10 #13-­‐22, 25-­‐27, 30-­‐46 1.2 Day 1: p. 17 #12-­‐15, 22-­‐
27 1.2 Day 2: p. 17-­‐19 #28-­‐39, 58, 62 *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections 1.3 Day 1: p. 25 #13-­‐30