# Course Outline: Grade 6 Mathematics

Course Code: MAT6
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 5 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 numbers to 1,000,000, develop the concept of place value to thousandths, compare and order fractional amounts with unlike denominators, and estimate 10%, 25%, 50%, and 75% of a quantity. Students add and subtract decimal amounts to thousandths, multiply and divide four-digit whole numbers by two-digit whole numbers, and multiply and divide decimals to tenths by whole numbers and two-digit by two-digit whole numbers. Furthermore, students divide three-digit whole numbers by one-digit whole numbers, apply order of operations in expressions without brackets, and relate simple fractions, decimals and percentages. Students measure quantities using metric units, convert from larger to smaller metric units, including square metres to square centimetres, and develop and apply area relationships for a parallelogram and a triangle. Students develop and apply the volume relationships for a triangular prism, determine and apply surface area relationships for rectangular and triangular prisms, and relate square metres and square centimetres. Students classify quadrilaterals by geometric properties, sort polygons by lines of symmetry and by rotational symmetry, measure angles to 180° with a protractor, and construct polygons. Students represent figures using views and isometric sketches, perform and describe rotations, and plot points in the first quadrant. Students represent patterns using ordered pairs and graphs, describe pattern rules in words, and calculate any term when given the term number. Students investigate variables as changing quantities and solve equations using concrete materials and the guess and check strategy. Furthermore, students collect and organize discrete and continuous data, display data using continuous line graphs, select appropriate geographical representations, use continuous line graphs and mean to compare sets of data, find theoretical probabilities, and predict the frequency of an outcome based on the theoretical probability. 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 along with characters 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 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 7 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
• Connecting cubes
• Various household items to complete offline activities

Overall Curriculum Expectations:

Units: