G10 Principles of Mathematics
Course Description
This course enables students to broaden their understanding of relations, extend their skills in multi-step problem solving, and continue to develop their abilities in abstract reasoning. Students will model linear and quadratic relationships arising from a variety of contexts. Using trigonometric ratios and analytic geometry techniques, students will learn how to find exact measures in geometric contexts; as opposed to the approximate measures they have found using scale drawings and measurement tools. Geometric relationships investigated in Grade 9 will be confirmed, analytically, in specific cases, and students will be introduced to proof in general. Algebraic skills will be extended to generate factored, expanded, and completed square forms of quadratic expressions, and to solve linear systems and quadratic equations.
Overall Curriculum Expectations
By the end of this course, students will:
A. Linear Systems
| A1 | model and solve problems involving the intersection of two straight lines |
| A2 | solve linear equation systems using a variety of methods |
| A3 | solve real world problems using linear equation systems |
B. Quadratic Functions
| B1 | solve quadratic equations |
| B2 | determine the relationships between the graphs and the equations of quadratic functions |
C. Analytic Geometry
| C1 | solve problems involving the analytic geometry concepts of line segments |
| C2 | verify geometric properties of triangles and quadrilaterals, using analytic geometry |
D. Similar Triangles and Trigonometry
| D1 | develop the primary trigonometric ratios, using the properties of similar triangles |
| D2 | solve trigonometric problems involving right triangles and acute triangles. |
Course Content
| Unit | Title | Hours |
|---|---|---|
| Unit 1 |
Linear Systems This unit will focus on the use of two linear equations to model a problem. In some cases, both lines are graphical models where the point of intersection of the lines has meaning in the context of the problem. Points of intersection will be found through numerical, graphical, and algebraic analysis. In other cases, only parts of two lines are needed to model a single situation. These result in consideration of a range of values for solution to an optimization problem through linear programming analysis. |
15 hours |
| Unit 2 |
Quadratic Functions Students gather, analyze, manipulate, and display data from primary and secondary sources to model and communicate results about quadratic situations. Many contextual problems are studied to ensure that students gain depth of understanding of quadratic concepts and skills by applying the same concepts in different contexts. Students conduct investigations to verify or refute their own conjectures using lines or curves of best fit, tables, and pattern descriptions. They communicate their findings and describe trends. A rich conceptual foundation is developed for related algebraic studies. |
40 hours |
| Unit 3 |
Analytic Geometry This unit provides contexts for the development of formulas for midpoint, distance between points, and circles cantered at the origin. Then geometric relationships investigated in Grade 9 Mathematics are confirmed through the use of the Cartesian system and formulas. Properties of triangles and quadrilaterals are investigated analytically. This unit also contains multi-step problems in analytic geometry which require solution of a linear system. |
20 hours |
| Unit 4 |
Triangles and Trigonometry Students are introduced to applications of similar triangles and trigonometry through a variety of activities that use concrete materials and allow students to move about inside and outside the classroom. Primary trigonometric ratios, Sine and Cosine Laws are used to solve problems that are modeled by right-angled or acute triangles. Students investigate how the tangent ratio for the angle of inclination is connected to slope of a line. |
33 hours |
| Final Examination | 2 hours | |
| Total : 110 hrs |
Strategies actually used in the classroom are indicated in the chart above and reflected in classroom instruction
- Assessment for learning (AFL) is diagnostic and formative for the purposes of greater learning achievement and is used at the beginning of a unit to help determine a starting point for instruction.
- Assessment as learning (AAL) is assessment as a process of developing and supporting students’ active participation in their own learning.
- Assessment of learning (AOL) is assessment for purposes of providing evidence of achievement for reporting. It is conducted at the end of each learning unit/work section and provides students with the opportunity to synthesize/apply/demonstrate their learning and their achievement of the stated expectations.
There are four levels of achievement for students who are passing the course:
- Level 1 (50-59%)
- Level 2 (60-69%)
- Level 3 (70-79%)
- Level 4 (80-100%)
Level 3 is the provincial standard for student achievement.
The percentage grade represents the quality of the students’ overall achievement of the expectations for the course and reflects the corresponding achievement as described in the achievement chart for mathematics. Term work will be 70% of the overall grade for the course; the summative evaluations will be 30% of the overall grade, incorporating summative evaluation and a final written examination.
| Percentage of Final Mark | Categories of Mark Breakdown |
|---|---|
| 70% | Term Work student product (tests) Observations(performance tasks) |
| 30% | Final Written Exam 30% |
Within the 70% term mark and the 30% summative mark, the breakdown of the achievement chart categories will be approximately 25% Knowledge/Understanding, Application 25%, Communication 25%, and Thinking/Inquiry 25%.
The evaluation for this course is based on the student’s achievement of curriculum expectations and the demonstrated skills required for effective learning. The final percentage grade represents the quality of the student’s overall achievement of the expectations for the course and reflects the corresponding level of achievement as described in the achievement chart for the discipline.
Proctoring
The tests are typically a paper-pen evaluation written at a mutually agreed time, date, and location. The tests will be proctored, meaning a suitable adult with a dedicated identifiable and authentic email address will supervise you writing the tests. This process ensures the security and integrity of the test. Any person related or affiliated to the student in a personal way cannot serve as a test supervisor.
Resources required by the student
- A non-programmable, non-graphing, scientific calculator
- A scanner, smartphone camera, or similar device to upload handwritten or hand-drawn work
- A front-facing camera on a desktop, laptop, or mobile device to allow for proctoring over the internet
- Internet access and a modern standards-compliant web browser
The tuition for this course is $800 for Canadian students and $2000 for international students.
Refunds
Maple Leaf School does not issue refunds. When a student enrolls in our course, MLS administration team undertakes many tasks including establishing electronic/physical files, assigning teachers and tracking the enrolment for Ministry purposes, etc. The work is completed by our school the moment you register online.
Course Curriculum
| Course Information | |||
| Course Outline | 00:00:00 | ||
| Hour Breakdown | 00:00:00 | ||
| Mark Breakdown | 00:00:00 | ||
| Unit One | |||
| U1L1 | 00:00:00 | ||
| U1L2A | 00:00:00 | ||
| U1L2B | 00:00:00 | ||
| Unit Two | |||
| U2L1 | 00:00:00 | ||
| U2L2 | 00:00:00 | ||
| U2L3 | 00:00:00 | ||
| U2L4 | 00:00:00 | ||
| U2L5 | 00:00:00 | ||
| U2L6 | 00:00:00 | ||
| U2L7 | 00:00:00 | ||
| U2L8 | 00:00:00 | ||
| Unit Three | |||
| U3L1A | 00:00:00 | ||
| U3L1B | 00:00:00 | ||
| U3L2 | 00:00:00 | ||
| Unit Four | |||
| U4L1A | 00:00:00 | ||
| U4L1B | 00:00:00 | ||
| U4L2A | 00:00:00 | ||
| U4L2B | 00:00:00 | ||
| U4L3A | 00:00:00 | ||
| U4L3B | 00:00:00 | ||
| Final Exam | |||
| Course Culminating Activity | 00:00:00 | ||
| Request for Final Exam | 00:00:00 | ||
| MPM2D Final Exam | 5 days | ||
Course Reviews
No Reviews found for this course.
