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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

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OE_ID
Expectations
StudyPug Topic
ON.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
Comparing and ordering numbers
Rounding numbers
ON.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
Adding integers
Cartesian plane
Draw on coordinate planes
Negative numbers and opposite numbers
ON.OE.6.B.1.3
B1.3 Rational Numbers: compare and order integers, decimal numbers, and fractions, separately and in combination, in various contexts
Comparing and Ordering Fractions
Comparing and ordering decimals and fractions
ON.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
Converting between decimals, fractions, and percents
What are decimals?
ON.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
Percents, fractions, and decimals
ON.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
Ratios
Rates
Proportions
Percent of a number
Order of operations (PEMDAS)
Arithmetic properties: Commutative property
Arithmetic properties: Associative property
Arithmetic properties: Identity property
Arithmetic properties: Distributive property
ON.OE.6.B.2.2
B2.2 Math Facts: understand and recall commonly used square numbers and their square roots
Squares and square roots
Estimating square roots
Determining common factors
Determining common multiples
ON.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
Adding and multiplying percents
Multiplying decimals by powers of 10
Dividing decimals by power of 10
ON.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
Introduction to integer subtraction
Subtracting integers
Adding and subtracting decimals
Estimating sums
Estimating Differences
ON.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
Adding fractions with like denominators
Subtracting fractions with like denominators
Adding and subtracting fractions with unlike denominators
ON.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
Multiplying fractions and whole numbers
Using models to add and subtract fractions
ON.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
Dividing fractions with whole numbers
ON.OE.6.B.2.8
B2.8 Multiplication and Division: multiply whole numbers by proper fractions, using appropriate tools and strategies
Fractions: Multiplying proper fractions
ON.OE.6.B.2.9
B2.9 Multiplication and Division: divide whole numbers by proper fractions, using appropriate tools and strategies
Dividing fractions and mixed numbers
ON.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
Patterns: Patterns with shapes
Patterns: Number patterns
ON.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
Representing patterns in linear relations
Patterns: Describing patterns using tables and solving variables
ON.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
Reading linear relation graphs
Solving linear equations by graphing
Patterns: Applications of solving problems using patterns
ON.OE.6.C.1.4
C1.4 Patterns: create and describe patterns to illustrate relationships among integers
Application of integer operations
ON.OE.6.C.2.1
C2.1 Variables and Expressions: add monomials with a degree of 1 that involve whole numbers, using tools
Evaluating algebraic expressions
ON.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
Model and solve one-step linear equations: ax = b, x/a = b
Solving two-step linear equations using addition and subtraction: ax + b = c
Solving two-step linear equations using multiplication and division: x/a + b = c
Solving two-step linear equations using distributive property: a(x + b) = c
Solving one - step equations: x + a = b
ON.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
Express linear inequalities graphically and algebraically
Solving one-step linear inequalities
Solving multi-step linear inequalities
ON.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
Representing percents
Reading and drawing Venn diagrams
ON.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
ON.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
Advantages and disadvantages of different graphs
Circle graphs
Reading and drawing bar graphs
Reading and drawing line graphs
ON.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
Mean
Range and outliers
Application of averages
ON.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
Critiquing data presentation
Stem and leaf plots
ON.OE.6.D.2.1
D2.1 Probability: describe the difference between independent and dependent events, and explain how their probabilities differ, providing examples
Introduction to probability
Organizing outcomes
ON.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
Probability of independent events
Comparing experimental and theoretical probability
ON.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
Classifying quadrilaterals
ON.OE.6.E.1.2
E1.2 Geometric Reasoning: construct three-dimensional objects when given their top, front, and side views
Drawing 3D shapes
ON.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
Horizontal and vertical distances
ON.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
Introduction to transformations
ON.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
Metric systems
Conversions involving squares and cubic
Metric units: Length, volume, weight
Operations with metric units
ON.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
Nets of 3-dimensional shapes
Classifying 3D shapes
ON.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
Introduction to surface area of 3-dimensional shapes
Surface area of prisms
ON.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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