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Math

Grade 6 Math Courses - Ontario Curriculum

Discover comprehensive Grade 6 math courses aligned with Ontario's curriculum. From number sense to geometry, we provide a structured learning path to build strong mathematical foundations.

Ontario Grade 6 Math Curriculum - StudyPug Learning Support 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.6.B.1.1
B1.1 Whole Numbers: read, represent, compose, and decompose whole numbers up to and including one million, using appropriate tools and strategies, and describe various ways they are used in everyday life

Place value

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Rounding numbers

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OE.6.B.1.2
B1.2 Rational Numbers: read and represent integers, using a variety of tools and strategies, including horizontal and vertical number lines

Introduction to integer addition

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Adding integers

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Cartesian plane

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Draw on coordinate planes

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OE.6.B.1.3
B1.3 Rational Numbers: compare and order integers, decimal numbers, and fractions, separately and in combination, in various contexts
OE.6.B.1.4
B1.4 Fractions, Decimals, and Percents: read, represent, compare, and order fractions, decimal numbers up to thousandths, and whole number percents, using a variety of tools and strategies
OE.6.B.1.6
B1.6 Fractions, Decimals, and Percents: describe relationships and show equivalences among fractions, decimal numbers, and percents, using appropriate tools and drawings, in various contexts
B2. Operations : use knowledge of numbers and operations to solve mathematical problems encountered in everyday life
OE.6.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 whole number percents, including those requiring multiple steps or multiple operations
OE.6.B.2.2
B2.2 Math Facts: understand and recall commonly used square numbers and their square roots
OE.6.B.2.3
B2.3 Mental Math: use mental math strategies to calculate percents of whole numbers, including 1%, 5%, 10%, 15%, 25%, and 50%, and explain the strategies used
OE.6.B.2.4
B2.4 Addition and Subtraction: represent and solve problems involving the addition and subtraction of whole numbers and decimal numbers, using estimation and algorithms
OE.6.B.2.5
B2.5 Addition and Subtraction: add and subtract fractions with like and unlike denominators, using appropriate tools, in various contexts
OE.6.B.2.6
B2.6 Multiplication and Division: represent and solve problems involving the multiplication of whole numbers by proper fractions, using appropriate tools and strategies
OE.6.B.2.7
B2.7 Multiplication and Division: represent and solve problems involving the division of whole numbers by proper fractions, using appropriate tools and strategies
OE.6.B.2.8
B2.8 Multiplication and Division: multiply whole numbers by proper fractions, using appropriate tools and strategies
OE.6.B.2.9
B2.9 Multiplication and Division: divide whole numbers by proper fractions, using appropriate tools and strategies
C1. Patterns and Relationships : identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real-life contexts
OE.6.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.6.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.6.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.6.C.1.4
C1.4 Patterns: create and describe patterns to illustrate relationships among integers
C2. Equations and Inequalities : demonstrate an understanding of variables, expressions, equalities, and inequalities, and apply this understanding in various contexts
OE.6.C.2.1
C2.1 Variables and Expressions: add monomials with a degree of 1 that involve whole numbers, using tools
OE.6.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.6.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.6.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
OE.6.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.6.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.6.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.6.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

Misleading graphs

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Stem and leaf plots

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D2. Probability : describe the likelihood that events will happen, and use that information to make predictions
OE.6.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.6.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.6.E.1.1
E1.1 Geometric Reasoning: create lists of the geometric properties of various types of quadrilaterals, including the properties of the diagonals, rotational symmetry, and line symmetry
OE.6.E.1.2
E1.2 Geometric Reasoning: construct three-dimensional objects when given their top, front, and side views

Drawing 3D shapes

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OE.6.E.1.3
E1.3 Location and Movement: plot and read coordinates in all four quadrants of a Cartesian plane, and describe the translations that move a point from one coordinate to another
OE.6.E.1.4
E1.4 Location and Movement: describe and perform combinations of translations, reflections, and rotations up to 360° on a grid, and predict the results of these transformations
E2. Measurement : compare, estimate, and determine measurements in various contexts
OE.6.E.2.1
E2.1 The Metric System: measure length, area, mass, and capacity using the appropriate metric units, and solve problems that require converting smaller units to larger ones and vice versa
OE.6.E.2.5
E2.5 Area and Surface Area: create and use nets to demonstrate the relationship between the faces of prisms and pyramids and their surface areas
OE.6.E.2.6
E2.6 Area and Surface Area: determine the surface areas of prisms and pyramids by calculating the areas of their two-dimensional faces and adding them together
OE.6.F.1.4
F1.4 Consumer and Civic Awareness: explain the concept of interest rates, and identify types of interest rates and fees associated with different accounts and loans offered by various banks and other financial institutions

Simple interest

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