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Grade 7 Mathematics

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. This course prepares students for Grade 8 mathematics. The course relies on the assistance of a learning coach to support students through the content.

Full Grade 7 Mathematics Course Outline

Course Code: MAT7
Curriculum Policy Document: The Ontario Curriculum Grades 1-8: Mathematics, 2005 (revised)
Department: Intermediate
Course Developer: Virtual Elementary School
Development Date: 2019

Read, Represent and Compare Numbers

In the Read, Represent, and Compare Numbers unit, students represent, compare, and order decimal numbers and fractions, generate multiples and factors, and represent a quantity for a given context. Students also represent perfect squares and square roots, and identify, compare, represent, order, and add integers.

Geometry

In the Geometry unit, students construct lines, explore bisectors, and sort and classify triangles and quadrilaterals. Students investigate right prisms and angles, plot points on the Cartesian Coordinate Plane, and examine similar shapes. Students explore dilatations, create and analyse designs, and tile a plane. Students describe triangles, investigate congruent shapes, and compare similar and congruent shapes.

Operations

In the Operations unit, students divide whole numbers by fractions and decimal numbers, solve addition and subtraction problems with decimal numbers, and multiply decimal numbers by whole numbers using concrete materials and algorithms. Students solve multi-step multiplication and division word problems, divide decimal numbers by whole numbers using concrete materials and algorithms, and evaluate expressions using the order of operations.

Fractions

In the Fractions unit, students add fractions with like and unlike denominators using concrete materials, subtract fractions with like and unlike denominators using concrete materials, and simplify fractions. Furthermore, students add and subtract proper fractions using algorithms, add and subtract mixed numbers using algorithms, and relate repeated addition and multiplication of fractions by whole numbers.

Proportional Relationships

In the Proportional Relationships unit, students solve percentage problems; understand rates; investigate fractions, decimal numbers, percentages, and ratios; and solve unit rate problems.

Data Management and Probability

In the Data Management and Probability unit, students collect data, explore population, sample and census, investigate bias in data collection, and collect, organize, and display data. Students represent data with graphs, read, interpret, and draw conclusions from data, and examine graphs and misleading data. Students explore effects on central tendency, investigate trends and distribution of data, make inferences and arguments, and explore real-world applications of probability. Students also make predictions, investigate theoretical probability, and perform probability experiments.

Patterning and Algebra

In the Patterning unit, students represent linear growing patterns, make predictions and investigate the general term, compare pattern rules, and model constant rates using tables, graphs, and algebraic expressions. Students show algebraic expressions, explore algebraic expressions and patterns, and evaluate algebraic expressions. Students also solve linear equations with concrete materials, guess and check, and use a calculator.

Measurement

In the Measurement unit, students explore equal volume prisms, solve measuring problems, and investigate exponents in area and volume. Students solve area problems and develop an understanding of trapezoids, composite shapes, right prism properties, right prism surface area, and capacity and volume conversions.

The Final Grade (Courses with Qualified Teacher)

Student evaluation in this course is based on the student's achievement of curriculum expectations. The final letter grade represents the quality of the student's overall fulfillment of the expectations for the course and reflects the corresponding level of achievement as described in the achievement chart for the discipline. The final grade reflects the student’s most consistent level of achievement across all units in the course, although special consideration is given to more recent evidence of achievement. There is no final assessment, such as an exam, in this course.