Course Type : | Academic |
Credit Value : | 1.0 |
Prerequisite : | None |
Course Description
This course enables students to consolidate, and continue to develop, an understanding of mathematical concepts related to number sense and operations, algebra, measurement, geometry, data, probability, and financial literacy. Students will use mathematical processes, mathematical modelling, and coding to make sense of the mathematics they are learning and to apply their understanding to culturally responsive and relevant real-world situations. Students will continue to enhance their mathematical reasoning skills, including proportional reasoning, spatial reasoning, and algebraic reasoning, as they solve problems and communicate their thinking. Contact us for Principles of Mathematics Grade 9 Academic.
Outline of Course Content
Unit
Titles and Descriptions
Time and Sequence
Unit 1
Numbers
This unit begins by describing how various subsets of a number system are defined. We use patterns and number relationships to explain density, infinity, and limit. We express numbers in scientific notation and evaluate powers. Integers and fractions are examined. We solve problems which are real-life applications of data, measurement, geometry, linear relations and financial literacy.
18 hours
Unit 2
Algebra
We begin this unit by creating, comparing and simplifying algebraic expressions. We use coding to demonstrate an understanding of variables, parameters, equations and inequalities. We create code, read code and alter code. Comparing graphs of linear and non-linear relations are studied. We represent linear relations. We compare characteristics of graphs, tables of values, and equations of linear and non-linear relations.
27 hours
Unit 3
Data
In this unit we represent and statistically analyse real-life data involving a single variable. Quartile values and box plots are studied. We create scatter plots to represent the relationship between two variables. We take a look at mathematical modelling and how it is used to real-life to inform decisions.
21 hours
Unit 4
Geometry and Measurement
We take a look at circle and triangle properties. We show how changing one or more dimensions of a two-dimensional shape and a three-dimensional object affects perimeter/circumference, area, surface area and volume. We solve problems involving the side length relationship for right triangles in real-life situations, including problems involving composite shapes. Solving problems using the relationships between the volume of prisms and pyramids and between the volume of cylinders and cones is also studied.
20 hours
Unit 5
Financial Literacy
In this unit we identify financial situations that involve appreciation and depreciation. We compare the effects that different interest rates, lengths of borrowing time, ways in which interest is calculated, and amounts of down payments have on the overall costs associated with purchasing goods or services. Modifying budgets is also examined.
21 hours
Unit 6
Final Evaluation
The final assessment task is a three-hour exam worth 30% of the student’s final mark.
3 hours
Total
110 hours
Since the over-riding aim of this course is to help students use language skillfully, confidently and flexibly, a wide variety of instructional strategies are used to provide learning opportunities to accommodate a variety of learning styles, interests and ability levels.
These include:
Guided Exploration | Problem Solving | Graphing |
Visuals | Direct Instruction | Independent Reading |
Independent Study | Cooperative Learning | Multimedia Productions |
Logical Mathematical Intelligence | Graphing Applications | Problem Posing |
Model Analysis | Group discussion | Self-Assessments |
Teachers will employ guided exploration, visuals, model analysis, direct instruction, problem posing and self-assessment to enable these student strategies.
Assessment is a systematic process of collecting information or evidence about student learning. Evaluation is the judgment we make about the assessments of student learning based on established criteria. The purpose of assessment is to improve student learning. This means that judgments of student performance must be criterion-referenced so that feedback can be given that includes clearly expressed next steps for improvement. Tools of varying complexity are used by the teacher to facilitate this. For the more complex evaluations, the criteria are incorporated into a rubric where levels of performance for each criterion are stated in language that can be understood by students.
These include:
Strategy | Purpose | Who | Assessment Tool |
Self-Assessment Quizzes | Diagnostic | Self/Teacher | Marking scheme |
Problem Solving | Diagnostic | Self/Peer/Teacher | Marking scheme |
Graphing Application | Diagnostic | Self | Anecdotal records |
Homework check | Diagnostic | Self/Teacher | Checklist |
Teacher/Student Conferencing | Assessment | Self/Teacher | Anecdotal records |
Problem Solving | Assessment | Peer/teacher | Marking scheme |
Investigations | Assessment | Self/Teacher | Checklist |
Problem Solving | Evaluation | Teacher | Marking scheme |
Graphing | Evaluation | Teacher | Checklist |
Unit Tests | Evaluation | Teacher | Marking scheme |
Final Exam | Evaluation | Teacher | Checklist |
Assessment is embedded within the instructional process throughout each unit rather than being an isolated event at the end. Often, the learning and assessment tasks are the same, with formative assessment provided throughout the unit. In every case, the desired demonstration of learning is articulated clearly and the learning activity is planned to make that demonstration possible. This process of beginning with the end in mind helps to keep focus on the expectations of the course as stated in the course guideline. The evaluations are expressed as a percentage based upon the levels of achievement.
The assessment will be based on the following processes that take place in the classroom:
Assessment FOR Learning | Assessment AS Learning | Assessment OF Learning |
During this process the teacher seeks information from the students in order to decide where the learners are and where they need to go. | During this process the teacher fosters the capacity of the students and establishes individual goals for success with each one of them. | During this process the teacher reports student’s results in accordance to established criteria to inform how well students are learning. |
The evaluation of this course is based on the four Ministry of Education achievement categories of knowledge and understanding (25%), thinking (25%), communication (25%), and application (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 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. A credit is granted and recorded for this course if the student’s grade is 50% or higher. The final grade for this course will be determined as follows:
- 70% of the grade will be based upon evaluations conducted throughout the course. This portion of the grade will reflect the student’s most consistent level of achievement throughout the course, although special consideration will be given to more recent evidence of achievement.
- 30% of the grade will be based on a final exam administered at the end of the course. The exam will contain a summary of information from the course and will consist of well-formulated multiple-choice questions. These will be evaluated using a checklist.
Textbook
- Nelson, Mathematics 9; David Zimmer; Chris Kirkpatrick; Ralph Montesanto, Publisher Nelson Education Ltd.
Potential Resources
- graphing calculator
- various internet websites
Unit | Description | Assessments Evaluation Weight | KICA |
Unit 1 | Numbers | Tests, Assignments (14%) | 25/25/25/25 |
Unit 2 | Algebra | 14% | 25/25/25/25 |
Unit 3 | Data | 14% | 25/25/25/25 |
Unit 4 | Geometry and Measurement | 14% | 25/25/25/25 |
Unit 5 | Financial Literacy | 14% | 25/25/25/25 |
Final Exam | 30% | 25/25/25/25 | |
Total | 100% |
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 charts and will be 70% of the overall course; the final evaluation will be 30% of the overall grade.
Percentage of the Mark | Categories of Mark Breakdown |
70% | Tests (45%) |
Assignments (5%) Student/teacher conference | (Observation and Conversation) 10% |
30% | Final Exam (30%) |