MTH1W – Principles of Mathematics – Grade 9
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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
$450.00
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*Course outline is subject to change
Overall Curriculum Expectations
By the end of this course, students will :
AA. Social-Emotional Learning (SEL) Skills in Mathematics
Throughout this course, in the context of learning related of the other strands, students will:
- AA1. Social-Emotional Learning Skills – develop and explore a variety of social-emotional learning skills in a context that supports and reflects this learning in connection with the expectations across all other strands
A. Mathematical Thinking and Making Connections
This strand has no specific expectations. Students’ learning related to this strand takes place in the context of learning related to strands B through F, and it should be assessed and evaluated within these contexts
Throughout the course, in connection with the learning in the other strands, students will:
- A1. Mathematical Process – apply the mathematical processes to develop a conceptual understanding of, and procedural fluency with, the mathematics they are learning
- A2. Making Connections – make connections between mathematics and various knowledge systems, their lived experiences, and various real-life applications of mathematics, including careers
B. Number
By the end of this course, students will:
- B1. Development of Numbers and Number Sets – demonstrate an understanding of the development and use of numbers, and make connections between sets of numbers
- B2. Powers – represent numbers in various ways, evaluate powers, and simplify expressions by using the relationships between powers and their exponents
- B3. Number Sense and Operations – apply an understanding of rational numbers, ratios, percentages, and proportions, in various mathematical contexts, and to solve problems
C. Algebra
By the end of this course, students will:
- C1. Algebraic Expressions and Equations – demonstrate an understanding of the development and use of algebraic concepts and of their connection to numbers, using various tools and representations
- C2. Coding – apply coding skills to represent mathematical concepts and relationships dynamically, and to solve problems, in algebra and across the other strands
- C3. Application of Relations – represent and compare linear and non-linear relations that model real-life situations, and use these representations to make predictions
- C4. Characteristic of Relations – demonstrate an understanding of the characteristics of various representations of linear a non-linear relation, using tools, including coding when appropriate
D. Data
By the end of this course, students will:
- D1. Collection, Representation, and Analysis of Data – describe the collection and use of data, and represent and analyze data involving one and two variables
- D2. Mathematical Modelling – apply the process of mathematical modelling, using data and mathematical concepts from other strands, to represent, analyze, make predictions, and provide insight into real-life situations
E. Geometry and Measurement
By the end of this course, students will:
- E1. Geometric and Measurement Relationships – demonstrate an understanding of the development and use of geometric and measurement relationships, and apply these relationships to solve problems, including problems involving real-life situations
F. Financial Literacy
By the end of this course, students will:
- F1. Financial Decisions – demonstrate the knowledge and skills needed to make informed financial decisions
Outline of Course Content
This unit will expand on the use of fractions, ratios, rates, proportions, and number sets, as well as introduce the rules for working with exponents. Students will also be introduced to abstract concepts like infinite sets and limits of a pattern.
This unit will focus on setting the foundations for working with linear relationships. Students will investigate the properties of linear and non-linear relationships, the different representations of linear relationships, and solve theoretical and application problems involving linear relationships. The unit will also connect algebraic concepts to coding applications. Students will read and write pseudocode, making use of comparative statements and loops, that produces solutions to real-life problems.
This unit explores variety of measurement systems and introduces the factor label method for converting between different unit types. Students will also investigate geometric relationships such as the volume differences between pyramids and prisms as well as cones and cylinders.
This unit will expand on the foundations of data collection and data analysis and build toward a project where students conduct a survey and analyze their data. Students will create a mathematical model for their data and test its validity.
This unit will build on the idea of compound interest and students will learn about models of appreciation and depreciation in a Canadian context. Students will also learn methods to adapt a budget so that it continues to work under moderate changes in circumstances.
The final assessment task is an exam and question/answer session worth 30% of the student’s final mark.