MPM1D2015-2016
Grade 9 Academic Math
Teacher: Ms. Pepler Email:
Wiki:
Course Content
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.
Sequence of Topics
Unit 1 Rational Numbers, Powers and Polynomials
Unit 2 Linear Relations and Linear Equations
Unit 3 Analytic Geometry
Unit 4 Investigating Relationships
Unit 5 Properties of 2-D Figures and Measurement
Mathematical Processes
The Mathematical Processes are a set of interconnected thinking skills that support lifelong learning in mathematics. Students develop and apply these skills in all math courses as they work to achieve the expectations outlined within each course. These skills are developed through problem-solving experiences that incorporate a variety of approaches, including investigation. The mathematical processes are:
●Problem Solving
●Reasoning and Proving
●Reflecting
●Selecting Tools and Computational Strategies
●Connecting
●Representing
●Communicating
Textbook
Your text is Principles of Mathematics 9. You must return it in the condition that you receive it or you will be charged a fee for damages.
Required Materials
Students are responsible for bringing the following: pencils, eraser, ruler, binder, graph paper, lined paper, and a calculator.
Student Absences
Students are responsible for all work missed regardless of the reason for the absence. If you are away, you WILL miss something important! Work must be completed before return to school in order to remain connected to the development of the concepts. Students who expect to miss school due to family vacations must notify the Principal in writing, in advance. Vacations cannot be recognized as legitimate reasons for exemption from formal evaluation.
Learning Skills
Learning skills are student habits and behaviours that enable them to learn effectively and achieve their potential. They are critical to success in all subject areas. Work habits, team work, initiative, independent work, and organizational skills will be assessed throughout the course, and communicated on the report card.
Evaluation
Evaluation should be viewed as an opportunity to demonstrate achievement of course expectations. Evaluation will be varied, and will include mastery tests, unit tests and performance assessments. It may also include other assignments, projects, investigations, and classroom activities.
The final mark has two components: term work (70%) and summative evaluation (30%). The summative evaluation occurs near the end of the course, and is comprised of a performance task (10%) on June 22 and the EQAO provincial exam (20%) on June 9 and 10. Attendance is mandatory for both of these evaluations.
Evaluation Focus / Achievement Chart Categories / Percentage of CourseTERM / Overall Expectations / ●Knowledge and Understanding
●Application
●Thinking
●Communication / 60%
Mastery / ●Knowledge and Understanding / 10%
SUMMA-TIVE / Summative Performance Task / ●Thinking
●Communication / 15%
EQAO Provincial Exam / ●Knowledge and Understanding
●Application
●Communication / 15%
The Overall Expectation mark (60%) is broken down further according to strand and expectation in terms of the nature of the expectation and described in the table below.
Strand / Strand Weight / Overall ExpectationNumber Sense and Algebra / 15 / A1, A2
Linear Relations / 15 / B1, B2, B3
Analytic Geometry / 15 / C1, C2, C3
Measurement and Geometry / 15 / D1,D2,D3
MPM1D: Principles of Mathematics, Grade 9 Academic
(From Ministry of Education: The Ontario Curriculum Grades 9 and 10: Mathematics)
By the end of this course, students will:
A: Number Sense and Algebra
1. demonstrate an understanding of the exponent rules of multiplication and division, and apply them to simplify expressions;
2. manipulate numerical and polynomial expressions, and solve first-degree equations
B: Linear Relations
1. apply data-management techniques to investigate relationships between two variables;
2. demonstrate an understanding of the characteristics of a linear relation;
3. connect various representations of a linear relation.
C: Analytic Geometry
1. determine the relationship between the form of an equation and the shape of its graph with respect to linearity and non-linearity;
2. determine, through investigation, the properties of the slope and y-intercept of a linear relation;
3. solve problems involving linear relations.
D: Measurement and Geometry
1. determine, through investigation, the optimal values of various measurements;
2. solve problems involving the measurements of two-dimensional shapes and the surface areas and volumes of three-dimensional figures;
3. verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.