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Math

Grade 7 Math Courses - Ontario Curriculum

Explore Ontario's Grade 7 math curriculum, covering essential topics from number sense to financial literacy. Prepare for success with comprehensive course options aligned with provincial standards.

Ontario Grade 7 Math Curriculum | StudyPug Canada Topics

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OE_ID
Expectations
StudyPug Topic
B1. Number Sense : demonstrate an understanding of numbers and make connections to the way numbers are used in everyday life
OE.7.B.1.1
B1.1 Rational Numbers: represent and compare whole numbers up to and including one billion, including in expanded form using powers of ten, and describe various ways they are used in everyday life

Introduction to exponents

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Place value

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OE.7.B.1.2
B1.2 Rational Numbers: identify and represent perfect squares, and determine their square roots, in various contexts

Squares and square roots

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Estimating square roots

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OE.7.B.1.3
B1.3 Rational Numbers: read, represent, compare, and order rational numbers, including positive and negative fractions and decimal numbers to thousandths, in various contexts

Comparing and ordering rational numbers

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Adding integers

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Subtracting integers

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Comparing and Ordering Fractions

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OE.7.B.1.4
B1.4 Fractions, Decimals, and Percents: use equivalent fractions to simplify fractions, when appropriate, in various contexts
OE.7.B.1.5
B1.5 Fractions, Decimals, and Percents: generate fractions and decimal numbers between any two quantities
OE.7.B.1.6
B1.6 Fractions, Decimals, and Percents: round decimal numbers to the nearest tenth, hundredth, or whole number, as applicable, in various contexts

Rounding numbers

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OE.7.B.1.7
B1.7 Fractions, Decimals, and Percents: convert between fractions, decimal numbers, and percents, in various contexts
B2. Operations : use knowledge of numbers and operations to solve mathematical problems encountered in everyday life
OE.7.B.2.1
B2.1 Properties and Relationships: use the properties and order of operations, and the relationships between operations, to solve problems involving whole numbers, decimal numbers, fractions, ratios, rates, and percents, including those requiring multiple steps or multiple operations

Ratios

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Rates

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Proportions

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OE.7.B.2.2
B2.2 Math Facts: understand and recall commonly used percents, fractions, and decimal equivalents

Applications of percents

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OE.7.B.2.3
B2.3 Mental Math: use mental math strategies to multiply and divide whole numbers and decimal numbers up to thousandths by powers of ten, and explain the strategies used
OE.7.B.2.6
B2.6 Multiplication and Division: multiply and divide fractions by fractions, using tools in various contexts
OE.7.B.2.7
B2.7 Multiplication and Division: multiply and divide integers, using appropriate strategies, in various contexts
OE.7.B.2.9
B2.9 Multiplication and Division: use the relationships between multiplication and division, and the distributive property, to multiply and divide decimal numbers by whole numbers, using appropriate tools, in various contexts
OE.7.B.2.10
B2.10 Multiplication and Division: identify proportional and non-proportional situations and apply proportional reasoning to solve problems
C1. Patterns and Relationships : identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real-life contexts
OE.7.C.1.1
C1.1 Patterns: identify and compare a variety of repeating, growing, and shrinking patterns, including patterns found in real-life contexts, and compare linear growing patterns on the basis of their constant rates and initial values

Patterns

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OE.7.C.1.2
C1.2 Patterns: create and translate repeating, growing, and shrinking patterns involving whole numbers and decimal numbers using various representations, including algebraic expressions and equations for linear growing patterns
OE.7.C.1.3
C1.3 Patterns: determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in repeating, growing, and shrinking patterns involving whole numbers and decimal numbers, and use algebraic representations of the pattern rules to solve for unknown values in linear growing patterns
OE.7.C.1.4
C1.4 Patterns: create and describe patterns to illustrate relationships among integers

Cartesian plane

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C2. Equations and Inequalities : demonstrate an understanding of variables, expressions, equalities, and inequalities, and apply this understanding in various contexts
OE.7.C.2.1
C2.1 Variables and Expressions: add and subtract monomials with a degree of 1 that involve whole numbers, using tools
OE.7.C.2.3
C2.3 Equalities and Inequalities: solve equations that involve multiple terms, whole numbers, and decimal numbers in various contexts, and verify solutions
OE.7.C.2.4
C2.4 Equalities and Inequalities: solve inequalities that involve multiple terms and whole numbers, and verify and graph the solutions
D1. Data Literacy : manage, analyse, and use data to make convincing arguments and informed decisions, in various contexts drawn from real life
OE.7.D.1.1
D1.1 Data Collection and Organization: explain why percentages are used to represent the distribution of a variable for a population or sample in large sets of data, and provide examples

Representing percents

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Percent of a number

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OE.7.D.1.2
D1.2 Data Collection and Organization: collect qualitative data and discrete and continuous quantitative data to answer questions of interest about a population, and organize the sets of data as appropriate, including using percentages

Organizing data

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OE.7.D.1.3
D1.3 Data Visualization: select from among a variety of graphs, including circle graphs, the type of graph best suited to represent various sets of data; display the data in the graphs with proper sources, titles, and labels, and appropriate scales; and justify their choice of graphs
OE.7.D.1.5
D1.5 Data Analysis: determine the impact of adding or removing data from a data set on a measure of central tendency, and describe how these changes alter the shape and distribution of the data

Median and mode

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Mean

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Range and outliers

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Application of averages

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OE.7.D.1.6
D1.6 Data Analysis: analyse different sets of data presented in various ways, including in circle graphs and in misleading graphs, by asking and answering questions about the data, challenging preconceived notions, and drawing conclusions, then make convincing arguments and informed decisions
D2. Probability : describe the likelihood that events will happen, and use that information to make predictions
OE.7.D.2.1
D2.1 Probability: describe the difference between independent and dependent events, and explain how their probabilities differ, providing examples

Organizing outcomes

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OE.7.D.2.2
D2.2 Probability: determine and compare the theoretical and experimental probabilities of two independent events happening and of two dependent events happening
E1. Geometric and Spatial Reasoning : describe and represent shape, location, and movement by applying geometric properties and spatial relationships in order to navigate the world around them
OE.7.E.1.1
E1.1 Geometric Reasoning: describe and classify cylinders, pyramids, and prisms according to their geometric properties, including plane and rotational symmetry
OE.7.E.1.3
E1.3 Location and Movement: perform dilations and describe the similarity between the image and the original shape
OE.7.E.1.4
E1.4 Location and Movement: describe and perform translations, reflections, and rotations on a Cartesian plane, and predict the results of these transformations
E2. Measurement : compare, estimate, and determine measurements in various contexts
OE.7.E.2.1
E2.1 The Metric System: describe the differences and similarities between volume and capacity, and apply the relationship between millilitres (mL) and cubic centimetres (cm3) to solve problems
OE.7.E.2.3
E2.3 Circles: use the relationships between the radius, diameter, and circumference of a circle to explain the formula for finding the circumference and to solve related problems
OE.7.E.2.5
E2.5 Circles: show the relationships between the radius, diameter, and area of a circle, and use these relationships to explain the formula for measuring the area of a circle and to solve related problems
OE.7.E.2.6
E2.6 Volume and Surface Area: represent cylinders as nets and determine their surface area by adding the areas of their parts
OE.7.E.2.7
E2.7 Volume and Surface Area: show that the volume of a prism or cylinder can be determined by multiplying the area of its base by its height, and apply this relationship to find the area of the base, volume, and height of prisms and cylinders when given two of the three measurements
OE.7.F.1.5
F1.5 Consumer and Civic Awareness: explain how interest rates can impact savings, investments, and the cost of borrowing to pay for goods and services over time

Simple interest

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OE.7.F.1.6
F1.6 Consumer and Civic Awareness: compare interest rates and fees for different accounts and loans offered by various financial institutions, and determine the best option for different scenarios

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