OntarioGrade 6
ON Grade 6 Math Curriculum
Video lessons and practice for every Grade 6 math topic. Aligned to what Ontario schools teach. Get help with homework or get ahead at your own pace.
ON Grade 6 Math Curriculum | StudyPugHelp
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 |
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 |
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 |
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 |
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 |
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 |
ON.OE.6.B.2.2 | B2.2 Math Facts: understand and recall commonly used square numbers and their square roots |
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 |
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 |
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 |
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 |
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 |
ON.OE.6.B.2.8 | B2.8 Multiplication and Division: multiply whole numbers by proper fractions, using appropriate tools and strategies |
ON.OE.6.B.2.9 | B2.9 Multiplication and Division: divide whole numbers by proper fractions, using appropriate tools and strategies |
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 |
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 |
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 |
ON.OE.6.C.1.4 | C1.4 Patterns: create and describe patterns to illustrate relationships among integers |
ON.OE.6.C.2.1 | C2.1 Variables and Expressions: add monomials with a degree of 1 that involve whole numbers, using tools |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
ON.OE.6.E.1.2 | E1.2 Geometric Reasoning: construct three-dimensional objects when given their top, front, and side views |
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 |
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 |
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 |
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 |
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 |
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 |
Ontario Grade 6 Math: What Students Learn
Grade 6 is a pivotal year in Ontario math. Students move from foundational number skills into more abstract thinking — working with integers, fractions, ratios, and beginning algebra. The Ontario curriculum covers five major strands: Number, Algebra, Data, Spatial Sense, and Financial Literacy.
Number Sense and Operations
Grade 6 students in Ontario read and represent whole numbers up to one million, and extend their understanding to integers and decimal numbers. Key skills include:
- Reading, representing, and comparing integers using number lines
- Ordering fractions, decimals, and whole number percents
- Rounding decimals to the nearest tenth, hundredth, or whole number
- Adding and subtracting fractions with like and unlike denominators
- Multiplying and dividing whole numbers by proper fractions
- Applying proportional reasoning to solve real-world problems
Algebra and Patterning
Students begin working with algebraic thinking by identifying and extending patterns, writing algebraic expressions, and solving equations and inequalities. They also explore coding as a way to represent mathematical relationships.
- Identifying repeating, growing, and shrinking patterns
- Creating and translating patterns using algebraic expressions
- Solving equations with multiple terms and whole numbers
- Solving and graphing inequalities
- Writing and executing code involving loops and sub-programs
Data Literacy
Grade 6 data work focuses on collecting, organizing, and displaying data — including the use of circle graphs and infographics. Students also explore probability and the difference between independent and dependent events.
- Collecting qualitative and quantitative data
- Creating circle graphs with proper titles, labels, and scales
- Determining the impact of adding or removing data on measures of central tendency
- Comparing theoretical and experimental probabilities
Spatial Sense and Geometry
Students work with two-dimensional shapes and three-dimensional objects, coordinate geometry, and transformations. They also measure and construct angles up to 360°.
- Properties of quadrilaterals including diagonals and symmetry
- Plotting coordinates in all four quadrants of a Cartesian plane
- Performing translations, reflections, and rotations on a grid
- Finding areas of trapezoids, rhombuses, kites, and composite polygons
- Calculating surface areas of prisms and pyramids using nets
Financial Literacy
Ontario's Grade 6 curriculum introduces students to real-world financial concepts, including methods of payment, interest rates, financial goals, and the role of banks and other financial institutions.
How StudyPug Helps Ontario Grade 6 Students
StudyPug covers every topic in the Ontario Grade 6 math curriculum with video lessons and practice problems. Whether your child is struggling with fractions, needs help preparing for the EQAO test, or wants to get ahead, StudyPug makes it easy to find exactly what they need and learn at their own pace.