Geometry and Discrete Mathematics, Grade 12, University Preparation (MGA4U)

Description of Course:

This course enables students to broaden mathematical knowledge and skills related to abstract mathematical topics and to the solving of complex problems. Students will solve problems involving geometric and Cartesian vectors, and intersections of lines and planes in three-space. They will also develop an understanding of proof, using deductive, algebraic, vector, and indirect methods. Students will solve problems involving counting techniques and prove results using mathematical induction.

Pre-Requisite or Co-Requisite: MCR3U

Policy Document Reference: Page 44-47, in the Ministry Document, The Ontario Curriculum, Grades 11 and 12

Textbook(s): Harcourt Mathematics 12 (Geometry and Discrete Mathematics)

Unit Titles (With approximate time allotted per unit)

Chapter 1 (Introduction to Proof ) 5 days

Chapter 2 (Plane Figures and Proof) 10 days

Chapter 3 (Circle Geometry) 10 days

Chapter 4 (Vectors) 10 days

Chapter 5 (Algebraic Vectors) 9 days

Chapter 6 (Linear Combinations) 9 days

Chapter 7 (Lines in a Plane) 9 days

Chapter 8 (Equations of Planes) 9 days

Chapter 12 (Sequences and Math Induction) 9 days

Chapter 10/11 (Counting Methods) 5 days

Review 3 days

Assessment and Evaluation  

According to Ministry policy, the primary purpose of assessment and evaluation is to improve student learning. It will be based upon the provincial curriculum expectations and the achievement levels outlined in the secondary curriculum policy documents.

Assessment is the process of gathering information from a variety of sources such as assignments, demonstrations, projects, learning skills, etc.

Evaluation is the process of judging the value of the student’s work on the basis of established criteria and assigning a value to represent that quality. The course evaluation is based on the DSBN Subject Council Consistency in Assessment and Evaluation Agreement, 2003-2004.

Learning Skills 

These skills are supportive of student learning, marks serve another purpose. A student’s ability to work with others, to attend class regularly, to be punctual, and to keep up with the work and maintain an accurate and complete notebook is very important and has an impact on how well a student performs. The report card allows these skills to be recorded for the public record. Therefore, teachers will continue to record information on these skills and assign a value to them for the report card.

Types of Assessment, Evaluation and Activities

Written reports

Projects

Oral presentations/communication skills

Homework

Quizzes

Assignments

Unit Tests

          Term Work Assessment   70%

          Summative Assessment  30%

Assessment Instrument

Quizzes and/or Assignments 10%

Performance Tasks 10%

Unit Tests 50%

  Assessment Instrument

Final Examination 30%

Specific Course Expectations:

Students should have with them each day: ►3 ring binder containing lined, blank and graph paper, with dividers

Scientific calculator

►Pencil, pen, ruler, eraser

►Myer Student Agenda

Students should attempt to fully complete each day’s assigned work and seek extra help with difficult topics.