· web viewword problem strategies using tools of geometry duplicating segments and angles...

Honors Geometry Syllabus Course Overview:Simply put, geometry is the study of the size, shape and position of 2 dimensional shapes and 3 dimensional figures. However, geometry is used daily by almost everyone. In geometry, one explores spatial sense and geometric reasoning. This course focuses on the key topics that provide a strong foundation in the essentials of geometry. Honors geometry will allow students the opportunity to work with the tools of geometry to discover geometric properties, thus discovering their own creative powers. Honors geometry is a fast-paced, accelerated, and enriched program. Topic Outline & Approximate Timeline:Quarter 1

1. Introducing Geometry a. Building block of Geometryb. Measuring anglesc. Writing definitionsd. Defining line and angle relationshipse. Defining polygonsf. Defining trianglesg. Special quadrilateralsh. Space Geometryi. Word problem strategies

2. Using Tools of Geometry a. Duplicating segments and anglesb. Constructing perpendicular bisectorsc. Constructing perpendicularsd. Constructing angle bisectorse. Constructing parallel linesf. Construction problemsg. Constructing points of concurrencyh. The Centroid

3. Line & Angle Properties a. Discovering angle propertiesb. Discovering properties of parallel linesc. Midpoint conjectured. Review of coordinate geometry

Quarter 24. Triangle Properties

a. Triangle sum conjectureb. Discovering properties of isosceles trianglesc. Triangle Inequaliries

d. SSS, SAS, SSA congruence shortcuts?e. ASA, AAS, AAA congruence shortcuts?f. HL congruence shortcutg. Logical thinking (flow charts and proofs)h. Isosceles triangles revisited

5. Polygon Propertiesa. Polygon sum conjectureb. Exterior angles of a polygonc. Discovering kite and trapezoid propertiesd. Discovering properties of midsegmentse. Discovering properties of parallelogramsf. Discovering properties of special parallelograms

Quarter 36. Circles

a. Defining circlesb. Discovering chord propertiesc. Discovering tangent propertiesd. Arcs & Anglese. The circumference/diameter ratiof. Arc length

7. Transformationsa. Translationsb. Reflectionsc. Rotationsd. Dilationse. Multiple Transformations

8. Areaa. Rectangles & Parallelogramsb. Triangles, Trapezoids, & Kitesc. Regular Polygonsd. Circlese. Sectors, Segments, & Annulusesf. Surface area

Quarter 49. Pythagorean Theorem

a. Pythagorean theoremb. Converse of the theoremc. Two special right trianglesd. Multiples of right trianglese. Distance

10.Volumea. Polyhedrons, prisms, and pyramidsb. Solids with curved surfacesc. Volumes with Prisms and cylinders

d. Volumes with Pyramids and conese. Displacement and densityf. Volume of a sphere

11.Similaritya. Ratio and proportionb. Similarityc. Indirect measurement with similar trianglesd. Corresponding parts of similar triangles

** Coverage of topics and timelines varies from year to year based on student readiness and standardized testing schedules. Student Evaluations:A point system is used for grading honors geometry. Each student must keep a notebook containing all notes, homework, and conjectures. Homework will be graded many times throughout the quarter for 5 points each. This means the total point value of homework will be about 50 - 75 points. Tests and quizzes will be given periodically to assess learning. All tests will be worth 100 points. We will have 2 – 3 tests per quarter. The value of quizzes will range from 20 – 50 points and will be given at least every other week. Additional projects may be assigned throughout the year. The point value will range from 25 – 150 points. Students will have the option of demonstrating proficiency by completing assigned IXL skills throughout the year. Completing all of the assigned skills with a smartscore of 90 will allow students to be exempt from the final exam. Grading Scale:The following grade scale will be utilized for geometry. 93% to 100% - Advanced 80% to 92% - Proficient 70% to 79% - Basic 69% or below – Below Basic**Please note that parental contact will be made when a student is at risk or fails a marking period. Homework Policy:Homework is an integral part of learning. For that reason, homework will be a required component of all geometry classes. I will randomly grade assignments throughout the year (approximately 5 points per assignment). In order to earn full credit on homework assignments, you must show all required work for the problems assigned. Partial credit will be given for homework that is partially completed. In honors geometry, no late homework is accepted. Student Activities:

We will complete activities periodically throughout the curriculum to support difficult concepts, focus on learners of different modalities, and vary instruction. All activities are provided to aid students in taking an in-depth look at a topic. As students solve application problems they are sometimes asked to formulate their answers into complete sentences, describe the processes used to solve the problem in a paragraph, and explain their solutions to the class (verbally, numerically, and graphically) both to help their fellow students and to solidify their own learning. Resources:Main TextSerra, Michael. Discovering Geometry An Inductive Approach. 2nd ed. Emeryville: Key Curriculum Press, 1997.