MPM1D

Principles of Mathematics, Grade 9, Academic

Course Title: Principles of Mathematics, Grade 9, Academic (MPM1D)
Course Name: Principles of Mathematics
Course Code: MPM1D
Grade: 9
Course Type: Academic
Credit Value: 1.0
Prerequisite: None
Curriculum Policy Document: Mathematics, The Ontario Curriculum, Grades 9 and 10, 2005
Course Developer: Elite High School
Department: Mathematics
Development Date: 2004
Most Recent Revision Date: 2013
Tuition Fee (CAD): $479

Course Title: Principles of Mathematics, Grade 9, Academic (MPM1D)
Course Name: Principles of Mathematics
Course Code: MPM1D
Grade: 9
Course Type: Academic
Credit Value: 1.0
Prerequisite: None
Curriculum Policy Document: Mathematics, The Ontario Curriculum, Grades 9 and 10, 2005
Course Developer: Elite High School
Department: Mathematics
Development Date: 2004
Most Recent Revision Date: 2013
Tuition Fee (CAD): $629

Course Description

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.

Summary Of Units And Timeline

Below is the suggested sequence of course unit delivery as well as the recommended number of hours to complete the respective unit. For complete details of targeted expectations within each unit and activity, please see each Unit Overview found in the course profile.

UNIT ONE: Rational Numbers

Essential Question: What are the differences between different types of numbers?
  • In this unit, students will learn how to relate rational numbers to decimals, fractions, and integers. Students will also learn how to evaluate expressions involving rational numbers.

UNIT TWO: Powers and Polynomials

Essential Question: How do we represent polynomials in different forms using exponents?
  • In this unit, students will learn how to represent polynomials geometrically, simplify polynomial expressions using exponents and other mathematical principles, add and subtract polynomials, multiply polynomials by monomials.

UNIT THREE: Linear Relations

Essential Question: Why do we learn about lines (word problem related)?
  • In this unit, students will learn how to describe properties of linear relations, recognize whether a relation is linear or nonlinear from a table of values, a graph, an algebraic expression, or a written description. Students will also learn to create different representations of linear and nonlinear relations.

UNIT FOUR: Linear Equations

Essential Question: How do we solve linear equations using variety of strategies?
  • In this unit, students will solve linear equations using a variety of strategies. Students will rearrange linear equations and formulas and find the point of intersection of two linear relations using a graph.

UNIT FIVE: Analytic Geometry

Essential Question: Where do we use geometry in everyday life?
  • In this unit, students will find the slope of a line, find the equation of a line and find the equations of parallel and perpendicular lines.

UNIT SIX: Investigating Relationships

Essential Question: How do we describe relationships between data?
  • In this unit, students will use a scatter plot to analyze data and draw a line or curve of best fit. Students will find the equation of the line of best fit and find trends or patterns in the data and make conjectures. Students will also use graphs to describe situations like displacement over time.

UNIT SEVEN: Properties of 2-D Figures

Essential Question: How do we investigate and create different polygons?
  • In this unit, students will investigate and apply the properties of interior and exterior angles of polygons. Students will investigate and apply the properties of the diagonals of polygons and line segments created using the midpoints of sides of polygons. Students will create and test conjectures, and give supporting examples or counterexamples.

UNIT EIGHT: Measurement

Essential Question: How is optimization related to various 2-D measurements?
  • In this unit, students will learn how to find the area, surface area, and the volume of various shapes, such as trapezoids, prisms, pyramids, cylinders, cones, and spheres. Students will also learn how to optimize area and volume.

CULMINATING PROJECT

20% of Final Grade
  • This project is one of the final evaluation of MPM1D online. This project will assess students knowledge of concepts taught in the course and is worth 20% of their final grade.

FINAL EXAM: Proctored Exam

10% of Final Grade
  • This exam is the final evaluation of MPM1D. Students need to arrange their final exam 10 days in advance. All coursework should be completed and submitted before writing the final exam, please be advised that once the exam is written, any outstanding coursework will be given a grade of zero. The exam will be 1.5 hours. There are two options for taking the exam:
  • WRITE EXAM AT ELITE HIGH SCHOOL CAMPUS: If you live close to Elite High School Campus, or if you attend Elite High School Campus, you can take your exam there. You will receive a confirmation email with next steps and exam information once your exam date is scheduled.The exam can be rescheduled or cancelled with a reasonable proof in case of a medical emergency.
  • USE EXAMITY PROCTORING SERVICE: For a fee of 22 USD*, students can arrange to take their exam in the comfort of their own home, at any time, on any day. Please select Examity Exam in the exam section of your course to set up your Examity profile and schedule your exam. Exams must be scheduled at least 24 hours in advance. *Price is subject to change.
  • Please email exams@elitehighschool.com if you need assistance.
Units Length

UNIT ONE: Rational Numbers

 13 hours

UNIT TWO: Powers and Polynomials

 13 hours

UNIT THREE: Linear Relations

 13 hours

UNIT FOUR: Linear Equations

 13 hours

UNIT FIVE: Analytic Geometry

 13 horus

UNIT SIX: Investigating Relationships

 13 hours

UNIT SEVEN: Properties of 2-D Figures

 13 hours

UNIT EIGHT: Measurement

 13 hours

CULMINATING PROJECT

 4 hours

FINAL EXAM: Proctored Exam

 2 hours
Hours: 110 hours