HAZELWOOD SCHOOL DISTRICT GEOMETRY and HONORS GEOMETRY SYLLABUS Course Description: In this course, students learn foundational geometry concepts from synthetic (Euclidean), algebraic, and industry perspectives. Students engage in activities which require them to identify, analyze, and solve problems involving the following topics: segments, angles, triangles, quadrilaterals, polyhedra, circles, spheres, transformations, if-then statements and proofs. Course work includes studying how geometry relates to algebra and how geometry concepts are applied in industrial and technological career fields. The course emphasizes the need for students to comprehend the abstract and symbolic nature of geometry. To receive honors credit, students are challenged to follow a rigorous pace to learn the intricacies of more complex geometry, including an additional project each quarter. Approved Course Materials and Resources: Textbook and Resources: GEOMETRY Integration, Applications, Connections, New York, 2001 Glencoe/McGraw-Hill, 2001. $55.00 Video/Movies: Video clips from United Streaming are approved for classroom use. No full length movies are approved in the mathematics curriculum. Course Expectations: Students will be expected to bring pencils, a notebook, scientific calculator, and their textbook to class everyday. Taking notes, doing assigned homework, participating fully in classroom activities, and seeking additional help when needed are essential elements in successfully mastering the concepts of Geometry. Sample Course Activities/Projects/Assessments: Assessments: Each chapter test serves as the District Common Assessments. A scoring guide and grade calculator will ensure consistent scoring for all students across the district. A comprehensive semester final exam is required at the end of each semester. Other informal and formal assessments, such as quizzes, observations, classroom assignments, projects, and participation, will occur periodically through out each chapter. Geometry and Honors Geometry Syllabus 1 Course Outline: Definitions, Postulates, Theorems Proof Transformation One-Dimensional Figures Two-Dimensional Figures Three-Dimensional Figures Measurement Congruence Similarity Course Curriculum Map: The curriculum map shows the sequence of the math concepts. An approximate timeline is given at the end of each chapter. Semester 1 Chapter 1 Math Content/Textbook Lesson 1-1 Coordinate Plane 1-2 Points Lines and Planes 1-3 Using formulas 1-4 Measuring Segments 1-5 Mid Point and Segment Congruence 1-6 Exploring Angles 1-7 Angle Relationships Quiz/Review Common Assessment #1 Timeline: 3 weeks Chapter 2 Math Content/Textbook Lesson 2-1 Inductive reasoning and conjecturing 2-2 If then statements 2-3 Deductive reasoning and conjecturing 2-4 Algebraic Proofs 2-5 Verifying Segment Relationships 2-6 Verifying Angle Relationships Quiz/Review Common Assessment #2 Timeline: 3 weeks Geometry and Honors Geometry Syllabus 2 Chapter 3, 12 Math Content/Textbook Lesson 3-1 Parallel Lines Transversals 3-2 Angles and Parallel Lines 3-3 Slopes of Lines 12-1 Graphing Linear Equations 12-2 Writing Linear Equations 3-4 Proving Lines are Parallel 3-5 Parallels and Distance Quiz/Review Common Assessment #3 Timeline: 3.5 weeks Chapter 4, 5 Math Content/Textbook Lesson 4-1 Classifying Triangles 4-2 Measuring Angles in a Triangle 4-3 Exploring Congruent Triangles 4-4 Proving Triangles Congruent 4-5 More Congruent Triangles 4-6 Analyzing Isosceles Triangles 5-1 Special Segments and Triangles 5-4 Inequalities for Sides and Angles of a Triangle 5-5 Triangle Inequality Quiz/Review Common Assessment #4 Timeline: 5 weeks Chapter 13 Math Content/Textbook Lesson 13-4 Mappings 13-5 Reflections 13-6 Translations 13-7 Rotations 13-8 Dilations Quiz/Review Common Assessment #5 Timeline: 2.5 weeks Semester 1 Final Exam Review for Semester 1 Final Exam Semester 1 Exam Timeline: .5 weeks Geometry and Honors Geometry Syllabus 3 Semester 2 Chapter 6 Math Content/Textbook Lesson 6-1 Parallelograms 6-2 Tests for Parallelograms 6-3 Rectangles 6-4 Squares & Rhombi 6-5 Trapezoids Quiz/Review Common Assessment #6 Timeline: 3 weeks Chapter 9, 10 Math Content/Textbook Lesson 9-1 Exploring Circles 10-5 Area of Circles Only 10-1 Polygons 10-3 Area of Parallelograms 10-4 Area of Triangles, Rhombi & Trapezoids 10-7 Polygons as Networks Quiz/Review Common Assessment #7 Timeline: 3 weeks Chapter 11 Math Content/Textbook Lesson 11-1 Three-Dimensional Figures 11-2 Nets and Surface Area 11-3 Surface Area-Prisms & Cylinders 11-4 Surface Area-Pyramids & Cones 11-5 Volume-Prisms & Cylinders 11-6 Volume-Pyramids & Cones 11-7 Surface Area & Volume-Spheres Quiz/Review Common Assessment #8 Timeline: 4.5 weeks Chapter 7, 8 Math Content/Textbook Lesson 7-1 Proportions 7-2 Similar Polygons 7-3 Identifying Similar Triangles 7-5 Parts of Similar Triangles Geometry and Honors Geometry Syllabus 4 11-8 Congruent and Similar Solids 8-1 Pythagorean Theorem Only Quizzes and Review Common Assessment #9 Timeline: 2.5 weeks Semester 2 Final Exam Review for Semester 2 Final Exam Semester 2 Exam Timeline: .5 weeks Geometry and Honors Geometry Syllabus 5 HIGH SCHOOL MATHEMATICS LESSON PROTOCOL ACTIVITY TEACHER PURPOSE STUDENT PURPOSE Warm Up Assess student knowledge; connect to prior knowledge Practice and strengthen lesson skills and math concepts; self assessment of knowledge Facilitate to guide student thinking; assess accuracy of student knowledge Self-assessment, explain reasoning and assist each other Assess and build connections to prior knowledge; build interest and motivation. Show interest in problem to be solved; show prior knowledge through discussion. Facilitate and assess student understanding; ask probing questions to maintain problem’s rigor and student’s perseverance. Construct math knowledge by making predictions, discussing possibilities, testing predictions, solving problems, and justifying or presenting results. Check for accuracy and depth of understanding, make connections and extend knowledge through questioning and discussion. Summarize and reflect though discussion and writing. Individual work; problems based on classroom lesson skills or Tungsten assessment data 15% of class time Homework Review Partner or small group 10% of class time Launch Whole group discussion Direct Instruction 20% of class time Explore Partner/Small Group Activity Guided Instruction Student Presentations 40% of class time Summary Whole group discussion Summary Writing 15% of class time Geometry and Honors Geometry Syllabus 6 Power Vocabulary: Point One-dimensional figure Two-dimensional shapes Three-dimensional shapes Angle Polygons Properties Parallel Perpendicular Transformations Symmetry Proof Congruence Similarity Theorems and postulates Cartesian plane Protractor Compass Area/Surface Area Perimeter/Circumference Volume Geometry and Honors Geometry Syllabus 7