Course Title: Principles of Mathematics, Grade 9
Course Code: MPM 1D
Course Type: Academic
Credit Value: 1.0
Prerequisite: None required
Tuition Fee (CAD): $529
This course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. They will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems
Overall Curriculum Expectations
By the end of the course, students will gain proficiency in the following areas:
Number Sense and Algebra
- demonstrate an understanding of the exponent rules of multiplication and division, and apply them to simplify expressions;
- manipulate numerical and polynomial expressions, and solve first-degree equations.
- Linear Relations:
- apply data-management techniques to investigate relationships between two variables;
- demonstrate an understanding of the characteristics of a linear relation;
- connect various representations of a linear relation.
- determine the relationship between the form of an equation and the shape of its graph with respect to linearity and non-linearity;
- determine, through investigation, the properties of the slope and y-intercept of a linear relation;
- solve problems involving linear relations
Measure and Geometry
- determine, through investigation, the optimal values of various measurements;
- solve problems involving the measurements of two-dimensional shapes and the surface areas and volumes of three-dimensional figures;
- verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.
|Unit 1: Recap and Number Sense|
The first unit is meant to ease students back into mathematics. It is also meant to introduce extra-curricular opportunities within the high school. Students will complete an introductory quiz to see what they remember and what they need to refresh! Students will learn how to work with integers as well as apply them to real life situations. They will learn the exponent laws, review percents, ratios, and rates.
|Unit 2: Algebra|
The second unit is meant to demonstrate that math is more than just numbers. It continues to reveal extra-curricular opportunities within the high school. Students will learn new algebra terminology which will prove useful throughout the rest of the course. They will learn how to recognize as well as manipulate different types of polynomials. Furthermore, students will delve into more complex problem-solving situations involving real-life scenarios.
|Unit 3: Linear Relations and Equations|
Students will gather, analyze, manipulate, and display data from primary and secondary sources to model and communicate results. Students will conduct investigations to verify or refute their own conjecture, using lines or curves of best fit, tables and pattern descriptions. They will communicate their findings and describe trends. Students will explore the characteristics of lines and their corresponding equations. To solve problems, students will recognize and model realistic situations that involve constant rates of change.
|Unit 4: Analytic Geometry|
In this unit, you will be given In this unit, students will continue work with linear relations. They will recognize how the degree of the equation relates to whether a relationship is linear or non-linear. The concept of slope is taught and explained in numerous ways.Students will learn to interpret lines and graphs in order to make conclusions about the names of the lines, the properties of the lines, and relationships between sets of lines. Students will also explore the relationship between parallel and perpendicular lines. Students will apply their knowledge of graphing and linear relationships to real-life situations.
|Unit 5: Measurement|
In this unit, students are reintroduced to area, perimeter, surface area, and volume. The Pythagorean Theorem is also reviewed. As it is not expected that students have all of these formulas memorized, the formulas sheet from the EQAO has been provided in each activity to assist with problem solving.
|Total Hours||110 hours|