Grade 4 Math Curriculum Ontario

Equip your child with the skills to tackle complex Grade 4 math tutoring concepts—like data literacy and spatial sense—backed by written feedback after every single lesson so you always know their progress.

Core Grade 4 Math Study Points

Number Sense & Operations: Mastering whole numbers up to 10,000, adding and subtracting up to 10,000, multiplying multi-digit numbers, and understanding decimal tenths and equivalent fractions.
Algebra & Coding: Solving algebraic equations with variables, identifying growing and shrinking pattern rules, and writing code using loops and concurrent events.
Data Literacy & Probability: Collecting quantitative data, reading multiple-bar graphs, and calculating the mean, median, and mode.
Spatial Sense: Plotting coordinates in the first quadrant, understanding translations and reflections, measuring elapsed time, and calculating the area of a rectangle.
Financial Literacy: Distinguishing between needs and wants, understanding different methods of payment, estimating costs, and calculating change up to $100.

Ontario grade 4 math curriculum

4.B Number
4.B1 Number Sense
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
Convert between standard and expanded form (4-A.2)
Word names for numbers (4-A.8)
4.B1.2 compare and order whole numbers up to and including 10 000, in various contexts
Compare numbers (4-A.19)
Put numbers in order (4-A.20)
4.B1.3 round whole numbers to the nearest ten, hundred, or thousand, in various contexts
Rounding (4-A.9)
Rounding input/output tables (4-A.10)
Rounding puzzles (4-A.11)
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 halves, thirds and fourths (4-T.1)
Make halves, thirds and fourths (4-T.2)
Make sixths and eighths (4-T.3)
Make halves, thirds, fourths, sixths and eighths (4-T.4)
Understand fractions: fraction bars (4-T.5)
Understand fractions: area models (4-T.6)
Show fractions: fraction bars (4-T.7)
Show fractions: area models (4-T.8)
Match fractions to models: halves, thirds and fourths (4-T.9)
Match unit fractions to models (4-T.10)
Match fractions to models (4-T.11)
Fractions of number lines: unit fractions (4-T.12)
Fractions of number lines: halves, fourths and eighths (4-T.13)
Fractions of number lines (4-T.14)
Identify unit fractions on number lines (4-T.15)
Identify fractions on number lines (4-T.16)
Graph unit fractions on number lines (4-T.17)
Graph fractions on number lines (4-T.18)
Unit fractions: modelling word problems (4-T.20)
Unit fractions: word problems (4-T.21)
Fractions of a whole: modelling word problems (4-T.22)
Fractions of a whole: word problems (4-T.23)
Fractions of a group: word problems (4-T.24)
Decompose fractions into unit fractions using models (4-T.25)
Decompose fractions into unit fractions (4-T.26)
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
Graph smaller or larger fractions on number lines (4-T.19)
Compare fractions with like denominators using models (4-V.1)
Compare fractions with like numerators or denominators using models (4-V.2)
Compare fractions using models (4-V.3)
Graph and compare fractions with like denominators on number lines (4-V.4)
Graph and compare fractions with like numerators or denominators on number lines (4-V.5)
Compare fractions using ½ as a benchmark (4-V.6)
Compare fractions using ½ as a benchmark: find the missing numerator (4-V.7)
Compare fractions with like denominators (4-V.8)
Compare fractions with like numerators or denominators (4-V.9)
Compare fractions (4-V.10)
Compare fractions with like denominators in recipes (4-V.11)
Order fractions with like denominators (4-V.12)
Order fractions with like numerators or denominators (4-V.13)
Order fractions (4-V.14)
Find smaller or larger fractions (4-V.15)
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
Understanding decimals expressed in words: up to tenths (4-W.2)
Place values in decimal numbers: up to tenths (4-W.3)
Graph decimals on number lines: up to tenths (4-W.4)
Decimal number lines: up to tenths (4-W.5)
Compare decimals on number lines: up to tenths (4-W.10)
Compare decimal numbers: up to tenths (4-W.11)
Put decimal numbers in order: up to tenths (4-W.12)
Number sequences involving decimals: up to tenths (4-W.15)
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
Find equivalent fractions using area models (4-U.1)
Identify equivalent fractions on number lines (4-U.2)
Find equivalent fractions using number lines (4-U.3)
Graph equivalent fractions on number lines (4-U.4)
Equivalent fractions (4-U.5)
Patterns of equivalent fractions (4-U.7)
Write fractions in lowest terms (4-U.8)
Model decimals and fractions: up to tenths (4-W.1)
Graph fractions as decimals on number lines: up to tenths (4-W.6)
Convert fractions to decimals: up to tenths (4-W.7)
Convert decimals to fractions: up to tenths (4-W.8)
Compare decimals and fractions on number lines: up to tenths (4-W.13)
Compare decimals and fractions: up to tenths (4-W.14)
4.B2 Operations
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
Complete the addition sentence: facts up to 20 (4-B.3)
Complete the addition sentence: up to two digits (4-B.6)
Complete the addition sentence: up to three digits (4-B.9)
Complete the addition sentence: up to four digits (4-B.12)
Properties of addition (4-B.14)
Complete the subtraction sentence: up to 18 (4-C.3)
Complete the subtraction sentence: up to two digits (4-C.6)
Complete the subtraction sentence: up to three digits (4-C.9)
Complete the subtraction sentence: up to four digits (4-C.12)
Relate addition and multiplication for equal groups (4-D.4)
Multiplication facts up to 10: find the missing factor (4-E.2)
Properties of multiplication (4-E.21)
Relate multiplication and division for groups (4-G.3)
Relate multiplication and division for arrays (4-G.5)
Relate multiplication and division (4-G.6)
Complete the addition, subtraction, multiplication or division sentence (4-I.1)
Math Facts
4.B2.2 recall and demonstrate multiplication facts for 1 × 1 to 10 × 10, and related division facts
Multiplication facts up to 10 (4-E.1)
Division facts up to 10 (4-H.1)
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 (4-E.19)
Add decimal numbers: up to tenths (4-Y.1)
Subtract decimal numbers: up to tenths (4-Y.2)
Choose decimals with a particular sum or difference: up to tenths (4-Y.4)
Estimate sums and differences of decimals: up to tenths (4-Y.9)
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
Addition facts up to 20 (4-B.1)
Addition facts up to 20: word problems (4-B.2)
Add two-digit numbers (4-B.4)
Add numbers up to two digits: word problems (4-B.5)
Add three-digit numbers (4-B.7)
Add numbers up to three digits: word problems (4-B.8)
Add numbers up to four digits (4-B.10)
Add numbers up to four digits: word problems (4-B.11)
Choose numbers with a particular sum (4-B.17)
Subtraction facts up to 18 (4-C.1)
Subtraction facts up to 18: word problems (4-C.2)
Subtract numbers up to two digits (4-C.4)
Subtract numbers up to two digits: word problems (4-C.5)
Subtract numbers up to three digits (4-C.7)
Subtract numbers up to three digits: word problems (4-C.8)
Subtract numbers up to four digits (4-C.10)
Subtract numbers up to four digits: word problems (4-C.11)
Choose numbers with a particular difference (4-C.15)
Add decimal numbers: up to tenths (4-Y.1)
Subtract decimal numbers: up to tenths (4-Y.2)
Add and subtract decimals up to tenths: word problems (4-Y.3)
Choose decimals with a particular sum or difference: up to tenths (4-Y.4)
Add three or more decimals: up to tenths (4-Y.5)
Add three or more decimals up to tenths: word problems (4-Y.6)
Complete the decimal addition or subtraction sentence: up to tenths (4-Y.7)
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 teen numbers using grids (4-E.8)
Multiply 1-digit numbers by 2-digit numbers using area models I (4-E.9)
Multiply 1-digit numbers by 2-digit numbers using area models II (4-E.10)
Multiply 1-digit numbers by 2-digit numbers (4-E.11)
Multiply 1-digit numbers by 2-digit numbers: word problems (4-E.12)
Multiply 1-digit numbers by 3-digit numbers using area models I (4-E.13)
Multiply 1-digit numbers by 3-digit numbers using area models II (4-E.14)
Multiply 1-digit numbers by 3-digit numbers using expanded form (4-E.15)
Multiply 1-digit numbers by 3-digit numbers (4-E.17)
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
Divide using arrays (4-G.7)
Divide using area models (4-G.8)
Divide using repeated subtraction (4-G.9)
Divide using the distributive property (4-G.10)
Divide 2-digit numbers (4-H.3)
Divide 2-digit numbers: word problems (4-H.4)
Divide 2-digit numbers with remainders (4-H.5)
Divide 2-digit numbers and interpret remainders (4-H.6)
Divide 3-digit numbers (4-H.7)
Divide 3-digit numbers: word problems (4-H.8)
Divide 3-digit numbers with remainders (4-H.9)
Divide 3-digit numbers and interpret remainders (4-H.10)
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
Decompose fractions into unit fractions using models (4-T.25)
Decompose fractions into unit fractions (4-T.26)
4.B2.8 show simple multiplicative relationships involving whole-number rates, using various tools and drawings
Compare numbers using multiplication (4-F.1)
Compare numbers using multiplication: word problems (4-F.2)
Unit rates and equivalent rates (4-F.3)
4.C Algebra
4.C1 Patterns and Relationships
Patterns
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
Make a repeating pattern (4-L.3)
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
Find the next shape in a repeating pattern (4-L.1)
Complete a repeating pattern (4-L.2)
Find the next row in a growing pattern of shapes (4-L.4)
Use a rule to complete a number pattern (4-L.5)
Complete an increasing number pattern (4-L.9)
Complete a geometric number pattern (4-L.10)
Number patterns: word problems (4-L.11)
Number patterns: mixed review (4-L.12)
Input/output tables with addition, subtraction, multiplication and division (4-L.13)
Extend a growing shape pattern (4-L.14)
Extend a repeating shape pattern (4-L.15)
4.C1.4 create and describe patterns to illustrate relationships among whole numbers and decimal tenths
Addition patterns over increasing place values (4-B.16)
Subtraction patterns over increasing place values (4-C.14)
Multiplication patterns over increasing place values (4-E.20)
Division patterns over increasing place values (4-H.19)
What is true about the given number pattern? (4-L.6)
What is true about the number pattern made by the rule? (4-L.7)
Compare number patterns (4-L.8)
4.C2 Equations and Inequalities
Variables
4.C2.1 identify and use symbols as variables in expressions and equations
Write variable expressions (4-J.1)
Write variable expressions: word problems (4-J.2)
Write variable equations to represent word problems (4-J.4)
Equalities and Inequalities
4.C2.2 solve equations that involve whole numbers up to 50 in various contexts, and verify solutions
Solve variable equations: addition and subtraction (4-J.5)
Solve variable equations: multiplication and division (4-J.6)
Solve variable equations (4-J.7)
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
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.D Data
4.D1 Data Literacy
Data Collection and Organization
4.D1.1 describe the difference between qualitative and quantitative data, and describe situations where each would be used
4.D1.2 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
Create frequency tables (4-N.12)
Create stem-and-leaf plots (4-N.14)
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
Choose the best type of graph (4-N.16)
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
Create pictographs (4-N.3)
Create bar graphs (4-N.8)
Create line plots (4-N.10)
Create frequency tables (4-N.12)
Create stem-and-leaf plots (4-N.14)
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
Find the mode (4-AA.5)
Find the mean (4-AA.6)
Find the median (4-AA.7)
Interpret line plots to find the mode (4-AA.8)
Interpret line plots to find the mean (4-AA.9)
Interpret line plots to find the median (4-AA.10)
Interpret charts to find mean and mode (4-AA.11)
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
Read a table (4-N.1)
Interpret bar graphs (4-N.6)
Interpret double bar graphs (4-N.7)
Interpret frequency tables (4-N.11)
Interpret stem-and-leaf plots (4-N.13)
4.D2 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
Certain, probable, unlikely and impossible (4-AA.1)
Understanding probability (4-AA.2)
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
4.E1.1 identify geometric properties of rectangles, including the number of right angles, parallel and perpendicular sides, and lines of symmetry
Identify rectangles (4-R.19)
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
Objects on a coordinate plane (4-M.1)
Graph points on a coordinate plane (4-M.2)
Follow directions on a coordinate plane (4-M.3)
4.E1.3 describe and perform translations and reflections on a grid, and predict the results of these transformations
Reflection, rotation and translation (4-R.25)
4.00E+02 Measurement
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
Compare metric units of mass (4-P.8)
Convert metric units of mass (4-P.9)
Compare units of volume (4-P.11)
Convert metric units of volume (4-P.12)
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
Which unit of length is appropriate? (4-P.4)
Which unit of mass is appropriate? (4-P.7)
Which unit of volume is appropriate? (4-P.10)
Time
4.E2.3 solve problems involving elapsed time by applying the relationships between different units of time
Elapsed time (4-Q.7)
Find start and end times: multi-step word problems (4-Q.8)
Angles
4.E2.4 identify angles and classify them as right, straight, acute, or obtuse
Acute, right, obtuse and straight angles (4-R.12)
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
Tile a rectangle and find the area (4-S.7)
Create rectangles with a given area (4-S.10)
4.E2.6 apply the formula for the area of a rectangle to find the unknown measurement when given two of the three
Multiply to find the area of a rectangle made of unit squares (4-S.8)
Find the area or missing side length of a rectangle (4-S.11)
4.F Financial Literacy
4.F1 Money and Finances
Money Concepts
4.F1.1 identify various methods of payment that can be used to purchase goods and services
Identify advantages and disadvantages of payment methods (5-OO.1)
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
Making change (4-O.7)
Find the change, price or amount paid (4-O.8)
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.F1.4 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
4.F1.5 describe some ways of determining whether something is reasonably priced and therefore a good purchase
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