Muncy School District s2

MUNCY SCHOOL DISTRICT

PLANNED COURSE

I. GENERAL INFORMATION:

DATE: August 2006

COURSE TITLE: Geometry

MEETINGS/CYCLE: 6

PREREQUISITE(S): Algebra I or Applied Algebra II

II. COURSE DESCRIPTION:

Plane Geometry is intended for students after their first year of Algebra. This course is intended to emphasize reasoning and logical thinking; balance coordinate, synthetic, and transformational geometry; integrate technology as a problem solving tool; and incorporate proofs of various kinds. The goal is to connect Geometry to the real world through experimentation and discovery.

III. CONTENT: a. Tools of Geometry b. Reasoning in Proof c. Parallel and Perpendicular lines d. Relationships of Triangles e. Quadrilaterals f. Area g. Right Triangle Trigonometry h. Similarity i. Circles j. Surface Area and Volume k. Coordinate Geometry

IV. COURSE-UNIT OUTCOMES / UNIT OBJECTIVES

Benchmarks / exit skills are highlighted in yellow.

Identify and apply undefined terms and postulates of Geometry (point, line, plane, between, lies on, congruent, and intersects.) / Assessment: Teacher created quizzes, exams, projects and final exams Argue a reasonable proof in paragraph form / Assessment: Teacher created quizzes, exams, projects and final exams Define the nature and properties of parallel and perpendicular lines both on a coordinate plane and in general applications / Assessment: Teacher created quizzes, exams, projects and final exams Classify triangles by the properties of both sides and angles / Assessment: Teacher created quizzes, exams, projects and final exams Classify quadrilaterals by the properties of sides, angles, and diagonals / Assessment: Teacher created quizzes, exams, projects and final exams Apply Pythagorean theorem and right triangle trigonometry and all related corollaries to solve problems involving right triangles / Assessment: Teacher created quizzes, exams, projects and final exams Calculate and/or estimate the area and perimeter of basic and non-basic figures. / Assessment: Teacher created quizzes, exams, projects and final exams Identify and apply properties of similar figures / Assessment: Teacher created quizzes, exams, projects and final exams Calculate area, circumference of circles and sectors / Assessment: Teacher created quizzes, exams, projects and final exams Calculate Volume and surface area of basic prisms / Assessment: Teacher created quizzes, exams, projects and final exams

Content Objectives and Eligible Standards Assessment Time Frame Content and Vocab Tools of Geometry Inductive/ Deductive reasoning 2.4.11.A September M11.D.1.1.1 M11.B.2.1.2 Objects of Geometry M11.C.3.1.1 2.9.8.D Midpoint September Constructions 2.9.8.A September Coordinate Plane Basics Analytic 2.8.8.G Geometry September Perimeter and Area October 2.8.8.D Reasoning in Proof Conditionals 2.4.11.A October

M11.B.2.1.1 Relationships of angles 2.9.8.B Angle bisector October M11.B.2.1.2 Proof 2.4.11.A Indirect proof (December) project Indirect proof 2.4.11.A (December)

Parallel and Properties of parallel lines 2.8.8.E October Perpendicular lines Proving lines parallel M11.C.3.1.2 2.8.8.E Polygon angle sum Theorems November 2.8.8.D Lines on the coordinate plane November

2.8.8.H Slope November/ December Relationships of Lines of a triangle 2.8.8.D Altitude January Triangles M11.C.1.2.1 Inequalities 2.8.8.D Median January 2.8.11.D Quadrilaterals Classifying Quadrilaterals 2.8.11.C Circumscribed January polygon M11.C.1.2.2 Properties of parallelograms February 2.8.11.C Inscribed Special Parallelograms polygon February

2.8.11.C February

Area and Perimeter Polygons 2.3.8.D,E February

M11.B.2.2.2-4 Circles and Sectors 2.3.8.D,E March

Right Triangle Pythagorean Theorem 2.10.8.A,B March Trigonometry M11.C.1.4.1 Special right triangles 2.10.8.A,B March

Similarity Ratios and Proportions 2.9.8.A March 2.3.8.G M11.C.1.3.1 Similar Polygons 2.9.11.B April

Circles Angles of a circle 2.9.11.F Arc April

M11.C.1.1.1,2 Lines of a circle 2.9.11.F Central Angle April

Inscribed Angle

Secant

Semicircle

Tangent Surface Area and Prisms and Cylinders 2.9.8.D May Volume Spheres 2.9.8.D May M11.B.2.2.1,4 Pyramids and Cones 2.9.8.D May Coordinate Geometry Proving triangles 2.8.8.G Triangle May project M11.C.3.1.1 Proving Quadrilaterals 2.8.8.G May 2.8.11.C Quad project Circles on the Coordinate plane 2.8.8.G June

V. COURSE MATERIALS

a. Dan Kennedy, Ph.D; Randall I. Charles, Ph.D. Text: Geometry. Prentice Hall., Copyright: 2004 b. All available resource booklets, worksheets, software, etc. c. TI 82 Graphing Calculators d. Protractors, Templates, Compasses, etc, as needed.

VI. COURSE REQUIREMENTS/EXPECTATIONS

a. Grading Students are graded during the nine-week marking period based on the percent of points they earn out of the total possible points. Points in this college prep class are earned primarily through attendance, preparing a portfolio, scores on quizzes and tests, presenting an oral project, solving one (or more) high level problem(s), attending extra study sessions, and participating in parent/student communication activities. (Classes may vary). A final exam is counted in as per district policy to attain the student’s final average. This course has no weighting. b. Homework Policy Students are expected to complete each and every assignment given. While often not collected or graded, this option exists. Practice through participating in assignments is an integral part of success in Geometry.

VII. COURSE ASSESSMENT PROCEDURES

a. The assessment used in this course will consist mostly of exams taken individually by each student. Each exam will be weighted by the number of items it contains. During each marking period, a certain number of assignments, projects, and/or extra credit activities will be assigned. All items are up to the instructor’s discretion. b. Policies on all late work, missed exams, and missed classes will be followed according to the student’s Pathfinder.