# Course Outline: Grade 8 Mathematics

Course Code: MAT8
Credit Value: None. Credits are not issued at the elementary level.
Prerequisite(s): None
Curriculum Policy Document: The Ontario Curriculum Grade 1-8: Mathematics, 2005 (revised)
Department: Mathematics
Development Date: September 2020
Most Recent Revision Date: September 2020

Course Description:

This course builds on the Grade 7 curriculum to further develop students’ understanding of fundamental mathematical concepts by exploring topics related to number sense and numeration, measurement, geometry and spatial sense, patterning and algebra, and data management and probability. Students represent and order rational numbers, represent numbers using exponential notation, and solve multi-step problems involving whole numbers and decimals. Students multiply and divide fractions and integers, multiply and divide decimals by powers of ten, and apply order of operations in expressions with brackets and exponents. Students solve problems involving percents to one decimal place and percents greater than 100, and solve problems involving rates and proportions. Students convert between cubic centimetres and cubic metres and between millilitres and cubic centimetres. Students develop circumference and area relationships for a circle, develop and apply the formula for the volume of a cylinder, and determine and apply surface-area relationships for cylinders. Students sort quadrilaterals by geometric properties involving diagonals, construct circles, investigate relationships among similar shapes, and determine and apply angle relationships for parallel and intersecting lines. Furthermore, students relate the number of faces, edges, and vertices of a polyhedron, determine and apply the Pythagorean relationship geometrically, and plot the image of a point on the coordinate plane after applying a transformation. Students represent the general term in a linear sequence, use one or more algebraic expressions, translate statements, and use algebraic equations. Students find the term number in a pattern algebraically when given any term, and solve linear equations involving one-variable terms with integer solutions using a “balance” model. Students collect categorical, discrete, and continuous data, organize data into intervals, display data using histograms and scatter plots, and use measures of central tendency to compare sets of data. Students compare two attributes using data management tools, compare experimental and theoretical probabilities, and calculate the probability of complementary events. Throughout the course, students reinforce the mathematical processes of problem-solving, reasoning and proving, reflecting, selecting tools and computational strategies, connecting, representing, and communicating. Through investigation of real-life problems, students develop a strong foundation of mathematical knowledge and skills. Students apply mathematical processes and build transferrable critical thinking skills in varied teaching and consolidation activities that appeal to diverse learning styles. Students participate in engaging storylines that connect their learning to real-world contexts and build confidence through facilitating a positive attitude towards mathematics. Various opportunities are provided to consolidate student learning through technology and offline activities, including using tactile manipulatives, to reinforce essential mathematical strategies and tools. The course has a strong focus on reinforcing number sense and numeracy skills and provides various activities for practice throughout. This course prepares students for Grade 9 mathematics.

Resources Required by the Student:

This course is entirely online and does not require nor rely on any textbook. Students will require the following resources:

• A scanner, smart phone camera, or similar device to digitize handwritten or hand-drawn work
• A smart phone camera or similar device to take pictures of student work
• A device to record audio
• A printer
• A physical binder, folder, or notebook for offline activities
• Calculator
• Protractor
• Compass
• Ruler with centimetres
• Various household items to complete offline activities

Overall Curriculum Expectations:

Units: