Ontario Curriculum: Grade 4
Skills available for Ontario grade 4 math objectives
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4.B
Number
4.B1 Number Sense
Whole Numbers
Whole Numbers
4.B1.1: read, represent, compose, and decompose whole numbers up to and including 10 000, using appropriate tools and strategies, and describe various ways they are used in everyday life
4.B1.1: read, represent, compose, and decompose whole numbers up to and including 10 000, using appropriate tools and strategies, and describe various ways they are used in everyday life
4.B1.2: compare and order whole numbers up to and including 10 000, in various contexts
4.B1.2: compare and order whole numbers up to and including 10 000, in various contexts
4.B1.3: round whole numbers to the nearest ten, hundred, or thousand, in various contexts
4.B1.3: round whole numbers to the nearest ten, hundred, or thousand, in various contexts
Fractions and Decimals
Fractions and Decimals
4.B1.4: represent fractions from halves to tenths using drawings, tools, and standard fractional notation, and explain the meanings of the denominator and the numerator
Identify equal parts
Make equal parts
Understand fractions
Show fractions
Match fractions and models
Fractions on number lines
Word problems
Decompose fractions
4.B1.4: represent fractions from halves to tenths using drawings, tools, and standard fractional notation, and explain the meanings of the denominator and the numerator
Identify equal parts
Make equal parts
Understand fractions
Show fractions
Match fractions and models
Fractions on number lines
Word problems
Decompose fractions
4.B1.5: use drawings and models to represent, compare, and order fractions representing the individual portions that result from two different fair-share scenarios involving any combination of 2, 3, 4, 5, 6, 8, and 10 sharers
Compare fractions using models
Compare fractions on number lines
Compare fractions using benchmarks
Compare fractions
Order fractions
4.B1.5: use drawings and models to represent, compare, and order fractions representing the individual portions that result from two different fair-share scenarios involving any combination of 2, 3, 4, 5, 6, 8, and 10 sharers
Compare fractions using models
Compare fractions on number lines
Compare fractions using benchmarks
Compare fractions
Order fractions
4.B1.6: count to 10 by halves, thirds, fourths, fifths, sixths, eighths, and tenths, with and without the use of tools
4.B1.6: count to 10 by halves, thirds, fourths, fifths, sixths, eighths, and tenths, with and without the use of tools
4.B1.7: read, represent, compare, and order decimal tenths, in various contexts
Read and represent decimals
Compare decimals
Order decimals
4.B1.7: read, represent, compare, and order decimal tenths, in various contexts
Read and represent decimals
Compare decimals
Order decimals
4.B1.8: round decimal numbers to the nearest whole number, in various contexts
4.B1.8: round decimal numbers to the nearest whole number, in various contexts
4.B1.9: describe relationships and show equivalences among fractions and decimal tenths, in various contexts
Model equivalent fractions
Find equivalent fractions
Convert decimals and fractions
Compare decimals and fractions
4.B1.9: describe relationships and show equivalences among fractions and decimal tenths, in various contexts
Model equivalent fractions
Find equivalent fractions
Convert decimals and fractions
Compare decimals and fractions
4.B2 Operations
Properties and Relationships
Properties and Relationships
4.B2.1: use the properties of operations, and the relationships between addition, subtraction, multiplication, and division, to solve problems involving whole numbers, including those requiring more than one operation, and check calculations
Relate addition and multiplication
Relate multiplication and division
Properties of operations
Complete addition sentences
Complete subtraction sentences
Complete multiplication sentences
Mixed operations
4.B2.1: use the properties of operations, and the relationships between addition, subtraction, multiplication, and division, to solve problems involving whole numbers, including those requiring more than one operation, and check calculations
Relate addition and multiplication
Relate multiplication and division
Properties of operations
Complete addition sentences
Complete subtraction sentences
Complete multiplication sentences
Mixed operations
Math Facts
Math Facts
4.B2.2: recall and demonstrate multiplication facts for 1 × 1 to 10 × 10, and related division facts
4.B2.2: recall and demonstrate multiplication facts for 1 × 1 to 10 × 10, and related division facts
Mental Math
Mental Math
4.B2.3: use mental math strategies to multiply whole numbers by 10, 100, and 1000, divide whole numbers by 10, and add and subtract decimal tenths, and explain the strategies used
Multiply by 10 or 100
Add and subtract decimals
Estimate
4.B2.3: use mental math strategies to multiply whole numbers by 10, 100, and 1000, divide whole numbers by 10, and add and subtract decimal tenths, and explain the strategies used
Multiply by 10 or 100
Add and subtract decimals
Estimate
Addition and Subtraction
Addition and Subtraction
4.B2.4: represent and solve problems involving the addition and subtraction of whole numbers that add up to no more than 10 000 and of decimal tenths, using appropriate tools and strategies, including algorithms
Add whole numbers
Subtract whole numbers
Add and subtract decimals
4.B2.4: represent and solve problems involving the addition and subtraction of whole numbers that add up to no more than 10 000 and of decimal tenths, using appropriate tools and strategies, including algorithms
Add whole numbers
Subtract whole numbers
Add and subtract decimals
Multiplication and Division
Multiplication and Division
4.B2.5: represent and solve problems involving the multiplication of two- or three-digit whole numbers by one-digit whole numbers and by 10, 100, and 1000, using appropriate tools, including arrays
Multiply 1-digit numbers by 2-digit numbers
Multiply 1-digit numbers by 3-digit numbers
4.B2.5: represent and solve problems involving the multiplication of two- or three-digit whole numbers by one-digit whole numbers and by 10, 100, and 1000, using appropriate tools, including arrays
Multiply 1-digit numbers by 2-digit numbers
Multiply 1-digit numbers by 3-digit numbers
4.B2.6: represent and solve problems involving the division of two- or three-digit whole numbers by one-digit whole numbers, expressing any remainder as a fraction when appropriate, using appropriate tools, including arrays
Division strategies
Divide 2-digit numbers
Divide 3-digit numbers
4.B2.6: represent and solve problems involving the division of two- or three-digit whole numbers by one-digit whole numbers, expressing any remainder as a fraction when appropriate, using appropriate tools, including arrays
Division strategies
Divide 2-digit numbers
Divide 3-digit numbers
4.B2.7: represent the relationship between the repeated addition of a unit fraction and the multiplication of that unit fraction by a whole number, using tools, drawings, and standard fractional notation
4.B2.7: represent the relationship between the repeated addition of a unit fraction and the multiplication of that unit fraction by a whole number, using tools, drawings, and standard fractional notation
4.B2.8: show simple multiplicative relationships involving whole-number rates, using various tools and drawings
4.B2.8: show simple multiplicative relationships involving whole-number rates, using various tools and drawings
4.C
Algebra
4.C1 Patterns and Relationships
Patterns
Patterns
4.C1.1: identify and describe repeating and growing patterns, including patterns found in real-life contexts
4.C1.1: identify and describe repeating and growing patterns, including patterns found in real-life contexts
4.C1.2: create and translate repeating and growing patterns using various representations, including tables of values and graphs
4.C1.2: create and translate repeating and growing patterns using various representations, including tables of values and graphs
4.C1.3: determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in repeating and growing patterns
Repeating patterns
Growing patterns
Number and shape patterns
Input/output tables
4.C1.3: determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in repeating and growing patterns
Repeating patterns
Growing patterns
Number and shape patterns
Input/output tables
4.C1.4: create and describe patterns to illustrate relationships among whole numbers and decimal tenths
Place value patterns
Number patterns
4.C1.4: create and describe patterns to illustrate relationships among whole numbers and decimal tenths
Place value patterns
Number patterns
4.C2 Equations and Inequalities
Variables
Variables
4.C2.1: identify and use symbols as variables in expressions and equations
Write variable expressions
Write variable equations
4.C2.1: identify and use symbols as variables in expressions and equations
Write variable expressions
Write variable equations
Equalities and Inequalities
Equalities and Inequalities
4.C2.2: solve equations that involve whole numbers up to 50 in various contexts, and verify solutions
4.C2.2: solve equations that involve whole numbers up to 50 in various contexts, and verify solutions
4.C2.3: solve inequalities that involve addition and subtraction of whole numbers up to 20, and verify and graph the solutions
4.C2.3: solve inequalities that involve addition and subtraction of whole numbers up to 20, and verify and graph the solutions
4.C3 Coding
Coding Skills
Coding Skills
4.C3.1: solve problems and create computational representations of mathematical situations by writing and executing code, including code that involves sequential, concurrent, repeating, and nested events
4.C3.1: solve problems and create computational representations of mathematical situations by writing and executing code, including code that involves sequential, concurrent, repeating, and nested events
4.C3.2: read and alter existing code, including code that involves sequential, concurrent, repeating, and nested events, and describe how changes to the code affect the outcomes
4.C3.2: read and alter existing code, including code that involves sequential, concurrent, repeating, and nested events, and describe how changes to the code affect the outcomes
4.D
Data
4.D1 Data Literacy
Data Collection and Organization
Data Collection and Organization
4.D1.1: describe the difference between qualitative and quantitative data, and describe situations where each would be used
4.D1.1: describe the difference between qualitative and quantitative data, and describe situations where each would be used
4.D1.2: collect data from different primary and secondary sources to answer questions of interest that involve comparing two or more sets of data, and organize the data in frequency tables and stem-and-leaf plots
4.D1.2: collect data from different primary and secondary sources to answer questions of interest that involve comparing two or more sets of data, and organize the data in frequency tables and stem-and-leaf plots
Data Visualization
Data Visualization
4.D1.3: select from among a variety of graphs, including multiple-bar 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
4.D1.3: select from among a variety of graphs, including multiple-bar 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
4.D1.4: create an infographic about a data set, representing the data in appropriate ways, including in frequency tables, stem-and-leaf plots, and multiple-bar graphs, and incorporating any other relevant information that helps to tell a story about the data
4.D1.4: create an infographic about a data set, representing the data in appropriate ways, including in frequency tables, stem-and-leaf plots, and multiple-bar graphs, and incorporating any other relevant information that helps to tell a story about the data
Data Analysis
Data Analysis
4.D1.5: determine the mean and the median and identify the mode(s), if any, for various data sets involving whole numbers, and explain what each of these measures indicates about the data
Mode
Mean
Median
Mean and mode
4.D1.5: determine the mean and the median and identify the mode(s), if any, for various data sets involving whole numbers, and explain what each of these measures indicates about the data
Mode
Mean
Median
Mean and mode
4.D1.6: analyse different sets of data presented in various ways, including in stem-and-leaf plots and multiple-bar graphs, by asking and answering questions about the data and drawing conclusions, then make convincing arguments and informed decisions
4.D1.6: analyse different sets of data presented in various ways, including in stem-and-leaf plots and multiple-bar graphs, by asking and answering questions about the data and drawing conclusions, then make convincing arguments and informed decisions
4.D2 Probability
Probability
Probability
4.D2.1: use mathematical language, including the terms "impossible", "unlikely", "equally likely", "likely", and "certain", to describe the likelihood of events happening, represent this likelihood on a probability line, and use it to make predictions and informed decisions
4.D2.1: use mathematical language, including the terms "impossible", "unlikely", "equally likely", "likely", and "certain", to describe the likelihood of events happening, represent this likelihood on a probability line, and use it to make predictions and informed decisions
4.D2.1: make and test predictions about the likelihood that the mean, median, and mode(s) of a data set will be the same for data collected from different populations
4.D2.1: make and test predictions about the likelihood that the mean, median, and mode(s) of a data set will be the same for data collected from different populations
4.E
Spatial Sense
4.00E+01 Geometric and Spatial Reasoning
Geometric Reasoning
Geometric Reasoning
4.E1.1: identify geometric properties of rectangles, including the number of right angles, parallel and perpendicular sides, and lines of symmetry
4.E1.1: identify geometric properties of rectangles, including the number of right angles, parallel and perpendicular sides, and lines of symmetry
Location and Movement
Location and Movement
4.E1.2: plot and read coordinates in the first quadrant of a Cartesian plane, and describe the translations that move a point from one coordinate to another
Plot and read coordinates
Describe translations
4.E1.2: plot and read coordinates in the first quadrant of a Cartesian plane, and describe the translations that move a point from one coordinate to another
Plot and read coordinates
Describe translations
4.E1.3: describe and perform translations and reflections on a grid, and predict the results of these transformations
4.E1.3: describe and perform translations and reflections on a grid, and predict the results of these transformations
4.00E+02 Measurement
The Metric System
The Metric System
4.E2.1: explain the relationships between grams and kilograms as metric units of mass, and between litres and millilitres as metric units of capacity, and use benchmarks for these units to estimate mass and capacity
4.E2.1: explain the relationships between grams and kilograms as metric units of mass, and between litres and millilitres as metric units of capacity, and use benchmarks for these units to estimate mass and capacity
4.E2.2: use metric prefixes to describe the relative size of different metric units, and choose appropriate units and tools to measure length, mass, and capacity
4.E2.2: use metric prefixes to describe the relative size of different metric units, and choose appropriate units and tools to measure length, mass, and capacity
Time
Time
4.E2.3: solve problems involving elapsed time by applying the relationships between different units of time
4.E2.3: solve problems involving elapsed time by applying the relationships between different units of time
Angles
Angles
4.E2.4: identify angles and classify them as right, straight, acute, or obtuse
4.E2.4: identify angles and classify them as right, straight, acute, or obtuse
Area
Area
4.E2.5: use the row and column structure of an array to measure the areas of rectangles and to show that the area of any rectangle can be found by multiplying its side lengths
4.E2.5: use the row and column structure of an array to measure the areas of rectangles and to show that the area of any rectangle can be found by multiplying its side lengths
4.E2.6: apply the formula for the area of a rectangle to find the unknown measurement when given two of the three
4.E2.6: apply the formula for the area of a rectangle to find the unknown measurement when given two of the three
4.F
Financial Literacy
4.F1 Money and Finances
Money Concepts
Money Concepts
4.F1.1: identify various methods of payment that can be used to purchase goods and services
4.F1.1: identify various methods of payment that can be used to purchase goods and services
4.F1.2: estimate and calculate the cost of transactions involving multiple items priced in whole-dollar amounts, not including sales tax, and the amount of change needed when payment is made in cash, using mental math
4.F1.2: estimate and calculate the cost of transactions involving multiple items priced in whole-dollar amounts, not including sales tax, and the amount of change needed when payment is made in cash, using mental math
Financial Management
Financial Management
4.F1.3: explain the concepts of spending, saving, earning, investing, and donating, and identify key factors to consider when making basic decisions related to each
4.F1.3: explain the concepts of spending, saving, earning, investing, and donating, and identify key factors to consider when making basic decisions related to each
4.F1.4: explain the relationship between spending and saving, and describe how spending and saving behaviours may differ from one person to another
4.F1.4: explain the relationship between spending and saving, and describe how spending and saving behaviours may differ from one person to another
Consumer and Civic Awareness
Consumer and Civic Awareness
4.F1.5: describe some ways of determining whether something is reasonably priced and therefore a good purchase
4.F1.5: describe some ways of determining whether something is reasonably priced and therefore a good purchase