Grade 6 math Curriculum Ontario

Master the Ontario Grade 6 Math Curriculum and Build Confidence for EQAO

Prepare your child for success with SprintMind’s Ontario Grade 6 Math Tutoring program. Master fractions, spatial sense, and financial literacy while building confidence for EQAO with engaging lessons and consistent progress updates.

Equip your child with the critical thinking, coding, and spatial sense skills they need to excel in Grade 6 using the SprintMind Method.

Core Grade 6 Math Study Points

Number Sense & Operations: Reading and representing whole numbers up to one million. Understanding integers using horizontal and vertical number lines, and comparing and ordering integers, decimals, and fractions.
Spatial Sense (Geometry): Understanding nets of three-dimensional figures and calculating the surface area of cubes, rectangular prisms, triangular prisms, and pyramids.
Financial Literacy: Evaluating the advantages and disadvantages of various payment methods. Setting financial goals, comparing savings options, and balancing and adjusting a budget. Understanding the concept of interest rates and banking fees.

Skills available for Ontario grade 6 math curriculum

Objectives: Ontario Grade 6 Math Curriculum and EQAO Math Test Preparation
6.B Number
6.B1 Number Sense
Rational Numbers
6.B1.1 read and represent whole numbers up to and including one million, using appropriate tools and strategies, and describe various ways they are used in everyday life
Place values in whole numbers up to 1 million (6-A.1)
Word names for numbers (6-A.3)
6.B1.2 read and represent integers, using a variety of tools and strategies, including horizontal and vertical number lines
Understanding integers (6-C.1)
Integers on number lines (6-C.2)
Graph integers on horizontal and vertical number lines (6-C.3)
6.B1.3 compare and order integers, decimal numbers, and fractions, separately and in combination, in various contexts
Compare decimals using models (6-B.10)
Compare decimals on number lines (6-B.11)
Compare decimal numbers (6-B.12)
Put decimal numbers in order (6-B.13)
Compare and order integers (6-C.4)
Compare fractions using benchmarks (6-J.7)
Compare fractions using models (6-J.8)
Compare fractions I (6-J.9)
Compare fractions II (6-J.10)
Graph and order fractions on number lines (6-J.15)
Order fractions I (6-J.16)
Order fractions II (6-J.17)
Put a mix of decimals, fractions and mixed numbers in order (6-J.18)
Fractions, Decimals and Percents
6.B1.4 read, represent, compare, and order decimal numbers up to thousandths, in various contexts
What decimal number is illustrated? (6-B.1)
Word names for decimal numbers (6-B.3)
Compose and decompose decimals in multiple ways (6-B.6)
Compare decimals using models (6-B.10)
Compare decimals on number lines (6-B.11)
Compare decimal numbers (6-B.12)
Put decimal numbers in order (6-B.13)
Compare, order and round decimals: word problems (6-B.14)
6.B1.5 round decimal numbers, both terminating and repeating, to the nearest tenth, hundredth, or whole number, as applicable, in various contexts
Round decimals (6-B.7)
Round whole numbers and decimals: find the missing digit (6-B.8)
6.B1.6 describe relationships and show equivalences among fractions and decimal numbers up to thousandths, using appropriate tools and drawings, in various contexts
Equivalent decimals (6-B.4)
Equivalent fractions review (6-J.3)
Write fractions in lowest terms (6-J.4)
Convert between improper fractions and mixed numbers (6-J.13)
Convert between decimals and fractions or mixed numbers (6-J.14)
6.B2 Operations
Properties and Relationships
6.B2.1 use the properties 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
Add, subtract, multiply or divide two whole numbers (6-M.1)
Add, subtract, multiply or divide two whole numbers: word problems (6-M.2)
Evaluate numerical expressions involving whole numbers (6-M.3)
Add, subtract, multiply or divide decimals (6-M.8)
Add, subtract, multiply or divide decimals: word problems (6-M.9)
Add, subtract or multiply fractions (6-M.11)
Add, subtract or multiply fractions: word problems (6-M.12)
Add, subtract, multiply or divide two fractions (6-M.13)
Add, subtract, multiply or divide two fractions: word problems (6-M.14)
Multi-step word problems (6-O.2)
Properties of addition (6-W.8)
Add using properties (6-W.9)
Properties of multiplication (6-W.10)
Multiply using properties (6-W.11)
Math Facts
6.B2.2 understand the divisibility rules and use them to determine whether numbers are divisible by 2, 3, 4, 5, 6, 8, 9, and 10
Divisibility rules (6-F.1)
Mental Math
6.B2.3 use mental math strategies to calculate percents of whole numbers, including 1%, 5%, 10%, 15%, 25%, and 50%, and explain the strategies used
Estimate percents of numbers (6-Q.8)
Percents of numbers and money amounts (6-Q.11)
Percents of numbers: word problems (6-Q.12)
Estimate tips (6-T.6)
Addition and Subtraction
6.B2.4 represent and solve problems involving the addition and subtraction of whole numbers and decimal numbers, using estimation and algorithms
Add and subtract whole numbers (6-D.1)
Add and subtract whole numbers: word problems (6-D.2)
Estimate sums and differences of whole numbers (6-D.4)
Estimate sums and differences: word problems (6-D.5)
Add and subtract decimal numbers (6-D.6)
Add and subtract decimals: word problems (6-D.7)
Estimate sums and differences of decimals using rounding (6-D.8)
Estimate sums and differences of decimals using benchmarks (6-D.9)
Maps with decimal distances (6-D.10)
6.B2.5 add and subtract fractions with like and unlike denominators, using appropriate tools, in various contexts
Add and subtract fractions with like denominators using number lines (6-K.1)
Add and subtract fractions with like denominators (6-K.2)
Add and subtract fractions with like denominators: word problems (6-K.3)
Add fractions with unlike denominators using models (6-K.4)
Add fractions with unlike denominators I (6-K.5)
Add fractions with unlike denominators II (6-K.6)
Subtract fractions with unlike denominators using models (6-K.7)
Subtract fractions with unlike denominators I (6-K.8)
Subtract fractions with unlike denominators II (6-K.9)
Add and subtract fractions with unlike denominators I (6-K.10)
Add and subtract fractions with unlike denominators II (6-K.11)
Add and subtract fractions with unlike denominators: word problems I (6-K.12)
Add and subtract fractions with unlike denominators: word problems II (6-K.13)
Add and subtract mixed numbers with like denominators (6-K.15)
Add and subtract mixed numbers with unlike denominators (6-K.16)
Add and subtract mixed numbers: word problems (6-K.17)
Multiplication and Division
6.B2.6 represent composite numbers as a product of their prime factors, including through the use of factor trees
Prime factorization (6-I.3)
6.B2.7 represent and solve problems involving the multiplication of three-digit whole numbers by decimal tenths, using algorithms
Multiply a decimal up to tenths by a whole number (6-G.5)
Multiply a decimal up to tenths by a whole number: word problems (6-G.7)
6.B2.8 represent and solve problems involving the division of three-digit whole numbers by decimal tenths, using appropriate tools, strategies, and algorithms, and expressing remainders as appropriate
Divide whole numbers by decimals (6-G.20)
6.B2.9 multiply whole numbers by proper fractions, using appropriate tools and strategies
Multiply fractions by whole numbers using models: complete the equation (5-S.10)
Multiply unit fractions by whole numbers using number lines (6-L.2)
Multiply unit fractions by whole numbers: choose the model (6-L.3)
Multiply fractions by whole numbers using arrays (6-L.5)
Multiply fractions by whole numbers using number lines (6-L.6)
Multiply fractions by whole numbers: choose the model (6-L.7)
Multiply fractions by whole numbers I (6-L.8)
Multiply fractions by whole numbers II (6-L.9)
Multiply fractions by whole numbers: word problems (6-L.10)
6.B2.10 divide whole numbers by proper fractions, using appropriate tools and strategies
Divide whole numbers by unit fractions using area models (6-L.12)
Divide whole numbers by unit fractions (6-L.13)
Divide whole numbers by fractions (6-L.14)
6.B2.11 represent and solve problems involving the division of decimal numbers up to thousandths by whole numbers up to 10, using appropriate tools and strategies
Divide decimals using blocks: complete the equation (6-G.16)
Divide decimals using area models: complete the equation (6-G.17)
Divide decimals by whole numbers (6-G.18)
Divide decimals by whole numbers: word problems (6-G.19)
6.B2.12 solve problems involving ratios, including percents and rates, using appropriate tools and strategies
Identify equivalent ratios (6-P.5)
Write an equivalent ratio (6-P.6)
Ratio tables (6-P.7)
Equivalent ratios: word problems (6-P.8)
Unit rates (6-P.9)
Equivalent rates (6-P.10)
Use tape diagrams to solve ratio word problems (6-P.11)
Compare ratios: word problems (6-P.12)
Compare rates: word problems (6-P.13)
Ratios and rates: word problems (6-P.14)
Compare percents to each other and to fractions (6-Q.6)
Compare percents and fractions: word problems (6-Q.7)
Solve percent problems using grid models (6-Q.9)
Solve percent problems using strip models (6-Q.10)
Find what percent one number is of another (6-Q.13)
Find what percent one number is of another: word problems (6-Q.14)
Find the total given a part and a percent (6-Q.15)
Solve percent problems (6-Q.16)
Solve percent word problems (6-Q.17)
6.C Algebra
6.C1 Patterns and Relationships
Patterns
6.C1.1 identify and describe repeating, growing, and shrinking patterns, including patterns found in real-life contexts, and specify which growing patterns are linear
Identify linear functions from tables (6-Z.10)
Compare number patterns (6-II.1)
Number sequences: word problems (6-II.2)
6.C1.2 create and translate repeating, growing, and shrinking patterns using various representations, including tables of values, graphs, and, for linear growing patterns, algebraic expressions and equations
Use a rule to complete a table and a graph (6-V.5)
Complete a table for a two-variable relationship (6-Z.4)
Complete a table and graph a two-variable equation (6-Z.7)
Use a rule to complete a number sequence (6-II.3)
6.C1.3 determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in repeating, growing, and shrinking patterns, and use algebraic representations of the pattern rules to solve for unknown values in linear growing patterns
Write an equation from a graph using a table (6-Z.8)
Extend a shape pattern (6-II.4)
Complete an arithmetic number sequence (6-II.5)
Complete a geometric number sequence (6-II.6)
Complete an increasing number sequence (6-II.7)
Identify mistakes in number patterns (6-II.8)
6.C1.4 create and describe patterns to illustrate relationships among whole numbers and decimal numbers
Division patterns with zeros (6-F.6)
Decimal division patterns over increasing place values (6-G.15)
6.C2 Equations and Inequalities
Variables and Expressions
6.C2.1 add monomials with a degree of 1 that involve whole numbers, using tools
Identify equivalent expressions using strip models (6-W.13)
Identify equivalent expressions (6-W.14)
6.C2.2 evaluate algebraic expressions that involve whole numbers and decimal tenths
Evaluate variable expressions with whole numbers (6-W.3)
Evaluate variable expressions with decimals (6-W.5)
Equalities and Inequalities
6.C2.3 solve equations that involve multiple terms and whole numbers in various contexts, and verify solutions
Does x satisfy an equation? (6-X.1)
Which x satisfies an equation? (6-X.2)
Solve one-step equations with whole numbers (6-X.6)
Solve one-step equations: word problems (6-X.8)
Solve two-step equations (6-X.9)
Solve two-step equations: word problems (6-X.10)
Solve equations involving like terms (6-X.11)
6.C2.4 solve inequalities that involve two operations and whole numbers up to 100, and verify and graph the solutions
Solutions to inequalities (6-Y.1)
Graph inequalities on number lines (6-Y.2)
Write inequalities from number lines (6-Y.3)
Solve one-step inequalities (6-Y.4)
Graph solutions to one-step inequalities (6-Y.5)
Solve two-step inequalities (6-Y.6)
Graph solutions to two-step inequalities (6-Y.7)
6.C3 Coding
Coding Skills
6.C3.1 solve problems and create computational representations of mathematical situations by writing and executing efficient code, including code that involves conditional statements and other control structures
6.C3.2 read and alter existing code, including code that involves conditional statements and other control structures, and describe how changes to the code affect the outcomes and the efficiency of the code
6.D Data
6.D1 Data Literacy
Data Collection and Organization
6.D1.1 describe the difference between discrete and continuous data, and provide examples of each
Identify discrete and continuous data (6-FF.8)
6.D1.2 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 intervals
Interpret categorical data (6-EE.8)
Data Visualization
6.D1.3 select from among a variety of graphs, including histograms and broken-line 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
Choose the best type of graph (6-EE.20)
6.D1.4 create an infographic about a data set, representing the data in appropriate ways, including in tables, histograms, and broken-line graphs, and incorporating any other relevant information that helps to tell a story about the data
Create frequency tables (6-EE.7)
Create histograms (6-EE.14)
Create line graphs (6-EE.17)
Create double line graphs (6-EE.19)
Data Analysis
6.D1.5 determine the range as a measure of spread and the measures of central tendency for various data sets, and use this information to compare two or more data sets
Calculate mean, median, mode and range (6-FF.4)
Interpret charts and graphs to find mean, median, mode and range (6-FF.5)
Mean, median, mode and range: find the missing number (6-FF.6)
6.D1.6 analyse different sets of data presented in various ways, including in histograms and broken-line 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
Interpret histograms (6-EE.13)
Interpret line graphs (6-EE.16)
Interpret double line graphs (6-EE.18)
6.D2 Probability
Probability
6.D2.1 use fractions, decimals, and percents to express the probability of events happening, represent this probability on a probability line, and use it to make predictions and informed decisions
Probability of one event (6-GG.3)
Probability of opposite, mutually exclusive and overlapping events (6-GG.4)
Make predictions using theoretical probability (6-GG.5)
Make predictions using experimental probability (6-GG.7)
6.D2.2 determine and compare the theoretical and experimental probabilities of two independent events happening
Experimental probability (6-GG.6)
6.E Spatial Sense
6.00E+01 Geometric and Spatial Reasoning
Geometric Reasoning
6.E1.1 create lists of the geometric properties of various types of quadrilaterals, including the properties of the diagonals, rotational symmetry, and line symmetry
Classify quadrilaterals (6-AA.9)
Draw quadrilaterals (6-AA.10)
Properties of polygons (6-AA.13)
6.E1.2 construct three-dimensional objects when given their top, front, and side views
Front, side and top view (6-CC.4)
Location and Movement
6.E1.3 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
Objects on a coordinate plane: positive numbers only (6-V.1)
Graph points on a coordinate plane: positive numbers only (6-V.2)
Objects on a coordinate plane: positive and negative numbers (6-V.3)
Graph points on a coordinate plane: positive and negative numbers (6-V.4)
Follow directions on a coordinate plane (6-V.8)
6.E1.4 describe and perform combinations of translations, reflections, and rotations up to 360° on a grid, and predict the results of these transformations
Reflection, rotation and translation (6-BB.2)
Translations: graph the image (6-BB.3)
Translations: find the coordinates (6-BB.4)
Reflections: graph the image (6-BB.5)
Reflections: find the coordinates (6-BB.6)
Rotations: graph the image (6-BB.7)
Rotations: find the coordinates (6-BB.8)
Compositions of transformations: graph the image (6-BB.9)
6.00E+02 Measurement
The Metric System
6.E2.1 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
Convert and compare metric units (6-R.2)
Multi-step problems with metric unit conversions (6-R.8)
Angles
6.E2.2 use a protractor to measure and construct angles up to 360°, and state the relationship between angles that are measured clockwise and those that are measured counterclockwise
Measure angles with a protractor (6-AA.2)
Draw angles with a protractor (6-AA.3)
Measure angles on a circle (6-AA.4)
6.E2.3 use the properties of supplementary angles, complementary angles, opposite angles, and interior and exterior angles to solve for unknown angle measures
Sums of angles in polygons (6-AA.14)
Exterior angles of polygons (6-AA.15)
Identify complementary, supplementary, vertical and adjacent angles (6-AA.17)
Find measures of complementary, supplementary, vertical and adjacent angles (6-AA.18)
Area and Surface Area
6.E2.4 determine the areas of trapezoids, rhombuses, kites, and composite polygons by decomposing them into shapes with known areas
Understanding area of a trapezoid (6-DD.8)
Area of trapezoids (6-DD.9)
Area of rhombuses (6-DD.10)
Area of compound figures (6-DD.11)
6.E2.5 create and use nets to demonstrate the relationship between the faces of prisms and pyramids and their surface areas
Nets of three-dimensional figures (6-CC.3)
6.E2.6 determine the surface areas of prisms and pyramids by calculating the areas of their two-dimensional faces and adding them together
Surface area of cubes and rectangular prisms (6-DD.17)
Surface area of triangular prisms (6-DD.18)
Surface area of pyramids (6-DD.19)
6.F Financial Literacy
6.F.1 Money and Finances
Money Concepts
6.F.1.1 describe the advantages and disadvantages of various methods of payment that can be used to purchase goods and services
Identify advantages and disadvantages of payment methods (6-HH.2)
Financial Management
6.F.1.2 identify different types of financial goals, including earning and saving goals, and outline some key steps in achieving them
6.F.1.3 identify and describe various factors that may help or interfere with reaching financial goals
Compare savings options (6-HH.3)
Balance a budget (6-HH.4)
Adjust a budget (6-HH.5)
Consumer and Civic Awareness
6.F.1.4 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 (6-T.7)
6.F.1.5 describe trading, lending, borrowing, and donating as different ways to distribute financial and other resources among individuals and organizations
Financial institution vocabulary (6-HH.1)
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