top of page  Mathematics is integral to every aspect of daily life – social, economic, cultural, and environmental. It is part of the story of human history. People around the world have used and continue to use mathematical knowledge, skills, and attitudes to make sense of the world around them and develop new mathematical thinking and appreciation for mathematics. The relationships between cultures and mathematics are conceptualized and practiced in many different ways across many different contexts. From counting systems, measurement, and calculation to arithmetic, geometry, and spatial sense, mathematics has been evident in the daily lives of people across history.

Transition from elementary to secondary school is a normative event for students around the world. Researches have shown the impact of this transition on our young adolescents’ mental health. At My Learning Oasis, to support this transition, grade 8 Math program has been developed based on Grade 9 Foundations of Mathematics, Applied Course.

This course enables students to develop an understanding of mathematical concepts related to introductory algebra, proportional reasoning, and measurement and geometry through investigation, the effective use of technology, and hands-on activities. Students will investigate real-life examples to develop various representations of linear relations, and will determine the connections between the representations. They will also explore certain relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. Course length

10 Months

Course Price

Course Developer

My Learning Oasis

Course Code

Department

Instructor Name

Mathematics 8

Intermediate

TBD

Curriculum Policy Document

The Ontario Curriculum: Grade 9 Mathematics ## Unit Titles and Descriptions

Number Sense and Algebra: In this unit, students will review the major concepts that are necessary for success in the rest of the course. Fundamental training includes developing a strong number sense, reviewing order of operations, and understanding the concepts surrounding decimals, fractions, ratios and proportions.

Analyzing Relationships with Data
Data - numbers and figures that are used to describe and make sense of the world around us - are only useful if they can be organized, analyzed and presented in ways that make sense to ourselves and each other. This unit is about using mathematical and graphical tools to understand data. Understanding of statistics and proportionality will be developed. Learning to recognize and manipulate linear relationships, and to extrapolate and interpolate data based upon preexisting data, are also investigated. Simple algebra to describe graphs will be introduced.

Linear Equations and Word Problems
Building upon the algebra developed in Unit 2, students will learn to solve simple linear equations. Adding and subtracting polynomials, and the distributive law will be introduced and practiced. Multi-step equations will be examined. By the end of the unit, students will have experience translating written words into mathematical equations, and vice-versa.

Slopes and the Equation of a Line
Based upon the understanding of linear equations developed in Unit 3, the concepts of slope, rates of change are introduced and we investigate how these ideas relate to practical relations such as distance-time relationships. The techniques and uses of finding the point of intersection of two lines on a graph will be studied.

Measurement and Geometry
The physical and mathematical properties of a variety of two- and three-dimensional shapes will be considered. Building on ideas of proportionality developed earlier, the relationships between distance, area and volume will be examined. Techniques for optimization design will be discussed. Essential knowledge in many trades, Pythagorean Theorem and Parallel Line Theorem will be studied in detail.

## Resources Required

This course is entirely online and does not require or rely on any textbook.

- A scanner, smartphone camera, or similar device to digitize handwritten or hand-drawn work.

- A non-programmable, non-graphing, scientific calculator.

## Overall Curriculum Expectation

A. Number Sense and Algebra
A1. Solve problems involving proportional reasoning.

A2. Simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations.

B. Linear Relations
B1. Apply data-management techniques to investigate relationships between two variables.

B2. Determine the characteristics of linear relations.

B3. Demonstrate an understanding of constant rate of change and its connection to linear relations.

B4. Connect various representations of a linear relation, and solve problems using the representations.

C. Measurement and Geometry
C1. Determine, through investigation, the optimal values of various measurements of rectangles.

C2. Solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures.

C3. Determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.

## Final reporting

Assessment is the process of gathering information from a variety of sources, such as assignments, day-to-day observations, conversations or conferences, demonstrations, projects, and performances. Teachers follow guidelines from Growing Success to analyze how well a student is achieving the curriculum expectations in a subject. As part of assessment, teachers provide students with descriptive feedback that guides their efforts towards improvement. The final grade reflects the student’s most consistent level of achievement throughout the course, although special consideration is given to more recent evidence of achievement. There may be a final assessment, such as an exam, in this course. Do you like rewards? Knowledge grows when you share, so does our benefits when you refer a friend. bottom of page