# Course Outline: Grade 7 Mathematics

Course Code: MAT7
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 6 curriculum by further developing students’ understanding of fundamental mathematical concepts. Students explore topics related to number sense and numeration, measurement, geometry and spatial sense, patterning and algebra, and data management and probability. Students represent and order decimals, fractions, and integers, represent squares and square roots, divide whole numbers by simple fractions and decimals, and add and subtract simple fractions and integers. Students multiply and divide decimal numbers to thousandths by one-digit whole numbers, apply order of operations in expressions with brackets, relate fractions, decimals, and percentages, and solve problems involving whole-number percentages and unit rates. Students convert between metric units, including converting between square centimetres and square metres, develop the area relationship for a trapezoid, and determine and apply the formula for the volume of a prism. Students learn and apply surface area relationships for prisms and relate millilitres and cubic centimetres. Students construct parallel, perpendicular, and intersecting lines, sort and classify triangles and quadrilaterals by geometric properties, and construct angle bisectors and perpendicular bisectors. Students investigate relationships among congruent shapes and relate enlarging and reducing to similar shapes. Students compare similar and congruent shapes, perform and describe dilatations, tile a plane, and plot points in all four quadrants. Students represent linear growing patterns and represent patterns algebraically. Students model real-life relationships involving constant rates graphically and algebraically when given a term number, and solve linear equations using concrete materials or inspection and guess and check. Students collect and organize categorical, discrete, and continuous data, display data in relative frequency tables and circle graphs, and identify bias in data. Students relate changes in data to changes in central tendency, make inferences based on data, investigate real-world applications of probability, and determine the theoretical probability of two independent 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 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 8 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 digitally
• 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: