Honors+Geometry+Notebook

Honors Geometry

NC Wise Number: LEA: 250

Craven Early College 800 College Ct New Bern, NC 28560 Principal: Daniel Colvin daniel.colvin@craven.k12.nc.us

Superintendent:

3600 Trent Road New Bern, NC 28560

Course Description:

Geometry continues students’ study of geometric concepts building upon middle school topics. Students will move from an inductive approach to deductive methods of proof in their study of two- and three-dimensional geometric figures. Reasoning skills will be emphasized and students will broaden their use of the coordinate plane. Appropriate technology, from manipulatives to calculators and graphics software, should be used regularly for instruction and assessment. Collaborative groups, skills practisce, and investigations will also be part of the course.

Goals and Objectives: 1.02 Use length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensionsal figures; and perimeter, area, and volume of composite figures. 2.01 Use logic and deductive reasoning to draw conclusions and solve problems. 2.02 Apply properties, definitions, and theorems of angles and lines to solve problems. Create direct (two-column, flow, and paragraph) and indirect proofs. 2.03 Apply properties, definitions, and theorems of two-dimensional figures to solve problems. Create direct (two-column, flow, and paragraph) and indirect proofs. 2.03a Triangles 2.03c Other polygons 2.04 Create direct (two-column, flow, and paragraph) and indirect proofs by applying properties, definitions, and theorems among angles, lines, and two-dimensional figures. 2.05 Develop and apply properties of solids to solve problems. 2.01 Use logic and deductive reasoning to draw conclusions and solve problems. 2.03 Apply properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs: 2.03a Triangles 2.03b Quadrilaterals 1.01 Use the trigonometric ratios to model and solve problems involving right triangles. a) Identify and use the trigonometric ratios to solve problems with right triangles. b) Define values of trigonometric relationships using the unit circle. Find exact values for angles θ (radians, degrees) that are multiples of pi /6 (30°) and pi /4 (45°) and–2pi ≤ θ ≤ 2pi (-360° ≤ θ ≤ 360°). Review: distance formula, midpoint formula, equations of lines, slopes of parallel and perpendicular lines. 1.01 Use the trigonometric ratios to model and solve problems involving right triangles. a) Identify and use the trigonometric ratios to solve problems with right triangles. b) Define values of trigonometric relationships using the unit circle. Find exact values for angles θ (radians, degrees) that aremultiples of pi /6 (30°) and pi /4 (45°) and–2pi ≤ θ ≤ 2pi (-360° ≤ θ ≤ 360°). || Use length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensionsal figures; and perimeter, area, and volume of composite figures. 1.03 Use length, area, and volume to model and solve problems involving probability. 2.03 Apply properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs: 2.03a Triangles 2.03b Quadrilaterals 2.03c Other Polygons 2.03d Circles 2.04 Develop and apply properties of solids to solve problems. 1.02 Use length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensionsal figures; and perimeter, area, and volume of composite figures. 2.03 Apply properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs: 2.03a Triangles 2.03b Quadrilaterals 2.03c Other Polygons 2.03d Circles 2.04 Develop and apply properties of solids to solve problems. 3.01 Describe the transformation (translation, reflection, rotation, dilation) of polygons in the coordinate plane in  simple algebraic terms. 3.02 Use matrix operations (addition, subtraction, multiplication, scalar multiplication) to describe in the coordinate plane. ||
 * ** 1st Quarter **
 * 2nd Quarter **
 * 1.02

Concepts: See Competency Goals 1-3 above.

Expectations of Students:

Students will learn difficult concepts by technology based projects, problem based learning, collaborative learning, lecture, and research based projects. Students are expected to attend and participate in class everyday. Students will also be measured by formal and informal assessments. Students are expected to be proficient on every end of quarter test. Students will accomplish and learn all goals that the state of North Carolina has set for the Geoemetry course.

Assignments: Timeline: See timeline in Goals and Objectives section above Assessments: Prentice Hall Mathematics: Geometry Assessment Resources Rubrics: Rubrics are used for projects. Grading: Participation: 10% Quizzes: 20% Class work/ Homework: 10% Test/Projects: 60%
 * 1) Conditional Statements Project
 * 2) Study for EOQ
 * 3) Complete chapter test
 * 4) Kite Building Project
 * 5) Solve Proofs using different styles
 * 6) Line Constructions
 * 7) Angle Constructions
 * 8) Triangle Constructions
 * 9) Circle Constructions
 * 10) Equations of Lines Discovery Activity
 * 11) Parallelogram Scavenger Hunt

Grading Rubric:

A 93-100

B 85-92

C 77-84

D 76-70 F 69 and below

Final Exam is 25% of Semester Grade

Instructional Materials:

Computer, Projector, Internet, Microsoft Office, USA Test Prep, Syllabus, Textbook, Geometer's Sketchpad