Ascension of Our Lord Secondary School Mathematics Course Code: Course Name: Level: MPM2D1 Principles of Mathematics Grade 10 Academic Course Overview This course enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. Students will explore quadratic relations and their applications; solve and apply linear systems; verify properties of geometric figures using analytic geometry; and investigate the trigonometry of right and acute triangles. Students will reason mathematically and communicate their thinking as they solve multi-step problems. Strands This course contains the strand Quadratic Relations in the Form y = ax2 + bx + c. This strand involves concrete experiences upon which students build their understanding of the abstract treatment of quadratic relations. Problem solving involves algebraic manipulation as well as the interpretation of supplied or technologically generated graphs, and students also learn the techniques involved in sketching and graphing quadratics effectively using pencil and paper. The course extends students’ understanding of linear relations through applications in the Analytic Geometry strand. Students study and apply linear systems and solve multi-step problems involving the verification of properties of two-dimensional shapes on the xy-plane. The topic of circles on the xy-plane is introduced in this course as an application of the formula for the length of a line segment. In the Trigonometry strand students apply trigonometry and the properties of similar triangles to solve problems involving right triangles. Students also solve problems involving acute triangles. Units of Study Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Linear Systems Analytic Geometry Polynomials Quadratic Functions Quadratic Equations Trigonometry Culminating Assessment/Exam Review/Exam Assessment and Evaluation The mark for the course will be based upon on-going or term work (70%) and a final assessment (30%) that includes a final exam (20%) and a culminating performance task (10%). The on-going or term work may include written assignments, reports, unit tests, and quizzes. Within the two areas, term work and final assessment, marks will be assigned using the four categories specified in the Ontario Curriculum Grades 9 to 12 Mathematics Education. Knowledge/Understanding 30% Knowledge of facts, technical terminology, procedures and standards Understanding of concepts Understanding of relationships between concepts Thinking 20% Thinking skills and inquiry design skills Identifying problems, planning, formulating questions, selecting strategies and resources Communication 20% Communication of information for different purposes Use of language, symbols and visuals Use of various forms of communication Application 30% Application of skills in familiar contexts and transfer of concepts to new contexts Application of procedures and technology Expectations of Students Students will be in complete uniform. The student is to be in the class when the bell rings, prepared to work with all required materials, including a calculator. Students are responsible for the textbook assigned to him/her at the start of the course. If the book is lost or stolen, the student is required to pay $80 to replace the book. The student is to keep a complete and organized notebook with dividers to separate units. Students are responsible for catching up on missed work and obtaining any notes/handouts. The student will initiate the process for extra help if required. Treat classmates/teacher the way you would like to be treated.