Download Course Syllabus

Course Syllabus
Course Title
Instructor Name
Geometry CCSS
Ms. Teacher
E-mail Address
[email protected]
Contact Phone #
000-000-0000 ext. 0000
Subject
Office Hours
Communication
Policy
Prerequisite
Skills
Math
M/W/F: 9:00 am - 10:00 am (MST)
T/R: 11:00 am - 12:00 pm (MST)
I can be reached by phone during my office hours: call 111-111-1111
Please email me at the above address any time and I will respond within 24 hours
Students are required to complete at least one assignment in the first week of class and notify me upon
completion.
Students can use the internal messaging system of the OdysseyWare program by clicking on New
Message in the assignment page or by going to the Messages tab and message me.
Sample Virtual Learning Assessment: Click Here
Please see the student expectations and code of conduct information included in this syllabus and be sure
you understand the requirements and consequences.
Sample Attendance Policy: Click here
Technology skills: students must know how to access the Internet on an approved browser, be able to type
on a keyboard and use a computer mouse.
Academic skills: students must have completed Algebra I before beginning this course.
Course
Objectives
Geometry–CCSS is a full year, high school math course for the student who has successfully completed
the prerequisite course, Algebra I. The course focuses on the skills and methods of linear, quadratic,
coordinate, and plane geometry. In it, students will gain solid experience with geometric calculations and
coordinate plane graphing, methods of formal proof, and techniques of construction.
By the end of the course, students will be expected to do the following:
Understand defined terms, axioms, postulates, and theories.
Apply rules of formal logic and construct proofs in two-column format.
Know how to solve for angles given parallels, perpendiculars, and transversals.
Demonstrate how to solve for sides and angles of triangles, quadrilaterals, and polygons.
Understand trigonometric ratios and know how to use them to solve for unknown sides and angles in
given triangles as well as application word problems.
Be able to determine arcs, chords, and sectors of circles.
Calculate perimeter, area, and volume of figures and solids.
Graph lines and determine slopes, midpoints, and distances.
Interpret and construct the graphs and equations of quadratic functions.
Make geometric constructions on paper.
Represent results of motion geometry (translation, rotation, reflection, dilation).
Calculate simple probabilities using addition, multiplication, permutations, combinations, and frequency
tables.
Geometry–CCSS is designed to help students meet the requirements of the Common Core State Standards
(CCSS) as organized by the traditional course pathway for Geometry in CCSS Mathematics Appendix B
(pp. 8-14). In addition to addressing and assessing the proficiencies specified within the content standards
of the traditional pathway, the course provides students opportunities to apply knowledge and skills to
complex real world situations through the completion of performance tasks modeling the structure and
approach used in sample tasks produced by the Partnership for Assessment of Readiness for College and
Careers (PARCC – www.parcconline.org) and the Smarter Balanced Assessment Consortium (SBAC –
www.smarterbalanced.org‎).
Also integrated throughout the instructional content are assessment items that model the structure and
approach of sample items from PARCC and SBAC, providing exposure to aspects of what students may
encounter down the road in formal PARCC and SBAC CCSS assessments.
Homework
Expectations
Students are required to complete assignments by the due dates visible in the courses page of your
program.
Supplemental
Materials
Grading Policy
Scratch Paper/Notebook
Paper
Pencil
Notebooks
Ruler
Compass
Protractor
Scientific Calculator
Each unit is weighted as an equal part of the semester average. Individual unit grades are calculated using
the following grading scale and weighting for assessments.
A+ 97.00-100% A 93.00-96.99% A- 90.00-92.99%
B+ 87.00-89.99% B 83.00-86.99% B- 80.00-82.99%
C+ 77.00-79.99% C 73.00-76.99% C- 70.00-72.99%
D+ 67.00-69.99% D 63.00-66.99% D- 60.00-62.99%
F 0-59.99%
Lessons:
Projects:
Quizzes:
Tests:
Daily assignments and review questions
Writing assignments, group assignments, activities, notebook grade
Given intermittently to check for understanding
Unit Tests, Semester Test, Final Exam, and End of Course Exam
5%
20%
25%
50%
Assessment
Practices
Traditional Assessments
Review questions following each Lesson
Quizzes
Unit Tests
Semester Exam
Final Exam
End of Course Exam
Course Scope
and Sequence
UNIT 1: INTRODUCTION
Assignment Titles
1. Course Overview 12. Review of Algebraic Postulates
2. Mathematic System: Set Theory Review_Test 13. Geometric Theorems
3. Mathematic System: Operations with Sets 14. Review of Properties of Algebra
4. Quiz 1: Set Theory 15. Quiz 4: Postulates and Theorems
5. Geometry Undefined Terms: Point 16. Performance Task
6. Geometry Undefined Terms: Line 17. Alternate Performance Task
7. Geometry Undefined Terms: Plane 18. Special Project
8. Quiz 2: Undefined Terms 19. Test
9. Defined Terms: Definitions 20. Alternate Test
10. Quiz 3: Defined Terms 21. Glossary and Credits
11. Geometric Postulates
UNIT 2: LOGIC
Assignment Titles
1. Logic 13. Proof Formats: The Figure
2. Conjunctions 14. Proof Formats: The Given Statement
3. Disjunctions 15. Proof Formats: To Prove Statement
4. Negation 16. Proof Formats: The Plan of the Proof
5. Conditional or Implication Statements 17. Indirect Proof Format: The Paragraph Proof
6. Converse, Inverse, Contrapositive 18. Quiz 3: Proof Formats
7. Quiz 1: Principles of Logic 19. Performance Task
8. Inductive Reasoning 20. Alternate Performance Task
9. Deductive Reasoning 21. Special Project
10. Using Deductive Reasoning 22. Test
11. Quiz 2: Inductive and Deductive Reasoning 23. Alternate Test
12. Proof Formats: Statement of the Theorem 24. Glossary and Credits
UNIT 3: ANGLES AND PARALLELS
Assignment Titles
1. Angle Definitions 16. Construction: Perpendiculars
2. Angle Measurement 17. Construction: Tangents to Circles
3. Quiz 1: Angles 18. Construction: Parallels
4. Angle Relationship Definitions 19. Classifying Triangles by Sides and Angles
5. Angle Relationship Theorems (1) 20. Exterior and Remote Interior Angles of a Triangle
6. Angle Relationship Theorems (2) 21. Proofs Involving Triangles
7. Quiz 2: Angle Theorems 22. Other Polygons
8. Construction: Copying Figures 23. Quiz 4: Triangles, Polygons, and Angle Properties
9. Construction: Bisecting Figures 24. Performance Task
10. Basic Properties of Parallels 25. Alternate Performance Task
11. Transversals and Special Angles 26. Special Project
12. More Proofs: Transversals and Special Angles 27. Test
13. Continued Proofs: Transversals and Special Angles 28. Alternate Test
14. More Proofs for Postulates 9 and 10 29. Glossary and Credits
15. Quiz 3: Parallels and Transversals
UNIT 4: CONGRUENT TRIANGLES AND QUADRILATERALS
Assignment Titles
1. Defining Congruent Triangles 18. Inequality Theorem in One Triangle Part 2
2. Proving Triangles Congruent (1) 19. Inequality Theorem in Two Triangles
3. Proving Triangles Congruent (2) 20. Quadrilateral Parallelograms Theorems Part 1
4. Proving Triangles Congruent (3) 21. Quadrilateral Parallelograms Theorems Part 2
5. Proving Right Triangles Congruent 22. Quiz 3: Inequalities; Quadrilaterals
Projects
Performance Tasks: Performance tasks are included as part of the assessment for this course to allow
students additional opportunities to apply knowledge and skills to complex real world situations. A typical
task is a group of related questions and activities focusing on a particular theme and targeting multiple
CCSS standards and mathematical practices.
Special Project: Notebooks - students are expected to keep a notebook and have it reviewed at the end of
each unit.
Unit 1: Introduction
Performance Task: Sets, Lines and Points
Special Project
Unit 2: Logic
Performance Task: Truth tables and logic
Special Project
Unit 3: Angles and Parallels
Performance Task: Describing a triangle, measures of the triangle, angles.
Special Project
Unit 4: Congruent Triangles and Quadrilaterals
Performance Task: Congruent triangles, Postulates, Range, and Angles
Special Project
Unit 5: Similar Polygons
Modeling and Scale Drawing: Research the Great Pyramid of Giza. Construct a three-dimensional model
to scale using any material you choose. Then make a two-dimensional drawing of the same pyramid on
poster board.
Performance Task: Conversions, Values and Angle Calculations
Special Project
Unit 7: Circles
Performance Task: Describing circles, comparing tangents, measures of angles, arcs, and segments
Special Project
Unit 8: Area and Volume
Performance Task: Figuring area, length, width and height, calculations using diameter and height
Special Project
Unit 9: Coordinate Geometry
Performance Task 2: Calculating distance between points, graphing vertices of a square, find the
coordinates of the center of the circle, and lines of symmetry.
Special Project
Unit 10: Transformations
Performance Task: Find the values for unknown angles, transformations and reflections
Special Project
Unit 11: Geometric Application
Special Project
Unit 12: Probability
Special Project
Extra Credit
Student
Expectations
Code of Conduct
To earn extra credit, students can complete one of the Alternate performance tasks.
Academic Integrity: Click here
Student Code of Conduct: Click here
Sample Acceptable Use Policy: Click here
Sample Policies and Procedures: Click here
Sample Credit Recovery Lab Student Contract: Click here
Sample Lab Policies: Click here