MTH1W – Principles of Mathematics – Grade 9
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
*Course outline is subject to change
Overall Curriculum Expectations
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 focus on developing a solid understanding of mathematical expressions and the fundamental operations surrounding them. Throughout the lessons, students will explore everything from integers to radical expressions, addressing key concepts such as order of operations, converting rational numbers to other number systems, simplifying radical expressions, and rationalizing numerators and denominators.
This unit focuses on developing a solid understanding of linear relationships and their fundamental operations. Throughout the lessons, students will explore key concepts such as the rate of change, properties of linear functions, solving linear equations, and methods for graphing and analyzing linear systems.
This unit focuses on developing fundamental skills in analyzing and understanding lines and data in the context of mathematics. Throughout the lessons, students will explore different forms of the equation of a line, determine the slope and equation of a line using points, and examine line transformations and reflections.
This unit focuses on developing a solid understanding of geometry and its main concepts. Throughout the lessons, students will explore the properties of circles and triangles, the Pythagorean theorem, the area and perimeter of compound geometric shapes, and volume relationships in pyramids, cones, and cylinders.
This unit focuses on developing fundamental skills in financial literacy and programming through hands-on activities and real-world applications. Throughout the lessons, students will explore concepts related to budgeting, appreciation and depreciation, rates and percentages, interest and borrowing, and scheduling basketball drills.
Final Presentation & Final Culminating Evaluation