Grade 4 Math


The beginning of Junior School, Grade 4 is the year of sports and camps and more complex syllabus. As children transition to more definitive number sense and introductions to concepts including geometry, graphs, logical reasoning.

Number sense

In mathematics Number Sense refers to understanding of numbers, their relationship and how they are affected by the four basic operations. Number senses is important because it helps to develop useful strategies when counting, measuring or estimating.
Place values
Convert between place values
Word names for numbers
Roman numerals
Prime and composite numbers
Even or odd: arithmetic rules
Inequalities with number lines
Put numbers up to four digits in order
Compare numbers up to five digits


In the primary grades, students develop an understanding of part-whole concepts – they learn that two or more parts can be combined to create a whole (addition).
Add numbers up to five digits
Add numbers up to five digits: word problems
Addition: fill in the missing digits
Properties of addition
Add three or more numbers up to five digits each
Addition patterns over increasing place values
Choose numbers with a particular sum
Estimate sums
Estimate sums: word problems


In the primary grades, students develop an understanding of part-whole concepts – they learn that two or more parts can be separated from a whole (Subtraction).
Subtract numbers up to five digits
Subtract numbers up to five digits: word problems
Subtraction: fill in the missing digits
Subtraction patterns over increasing place values
Choose numbers with a particular difference
Estimate differences
Estimate differences: word problems


The multiplication of numbers can be seen as repeated addition. For example, 3×4 = 4+4+4
Multiplication facts to 10
Compare numbers using multiplication
Choose the multiples of a given number up to 12
Multiply 1-digit numbers by 2-digit numbers
Multiply 1-digit numbers by 2-digit numbers: word problems
Multiply 1-digit numbers by 3-digit numbers
Multiply 1-digit numbers by larger numbers
Multiplication patterns over increasing place values
Properties of multiplication
Estimate products – multiply by 1-digit numbers
Estimate products – multiply by larger numbers
Estimate products: word problems
Box multiplication
Lattice multiplication
Choose numbers with a particular product
Multiply numbers ending in zeroes
Multiply numbers ending in zeroes: word problems
Multiply three numbers
Multiply three or more numbers: word problems
Inequalities with multiplication


Separation of partitioning of objects from a set for an equal share without any disparity in the fixed number of groups. The resultant will be a whole number quotient and a remainder if the number is not divisible further.
Division facts to 10
Division facts to 10: word problems
Properties of division
Divide larger numbers
Divide larger numbers: word problems
Complete the division table
Interpret remainders
Choose numbers with a particular quotient
Divide numbers ending in zeroes
Estimate quotients
Estimate quotients: word problems
Divisibility rules
Divisibility rules: word problems
Division patterns over increasing place values
Inequalities with division

Mixed operations

Mixing different basic operations to solve questions and teaching the order of operations which tells us the order to solve steps in expressions with more than one operation.
Add, subtract, multiply and divide
Addition, subtraction, multiplication and division word problems
Estimate sums, differences, products and quotients: word problems
Multi-step word problems
Word problems with extra or missing information
Solve word problems using guess-and-check
Choose numbers with a particular sum, difference, product or quotient
Mentally add and subtract numbers ending in zeroes
Inequalities involving addition, subtraction, multiplication and division

Variable expressions

A variable is a symbol that stands in for an unknown value, any symbol can be used to represent a variable. Variable expression is a combination of terms and mathematical operations that contains at least one variable.
Write variable expressions
Write variable expressions: word problems
Evaluate variable expressions
Write variable equations to represent word problems
Solve variable equations


A function related an input to an output. It works like a machine that takes something in (input) and at the end gives us something back (output). F(x) is the traditional way of expressing functions. Each function has three parts the Input, the Relationship and the Output.
Input/output tables with addition, subtraction, multiplication and division
Complete a table for a two-variable relationship
Write a two-variable equation
Graph a two-variable relationship

Logical reasoning

Logical reasoning is the process of using rational, systemic steps based on mathematical procedures to find an answer about your problem.
Find two numbers based on sum and difference
Find two numbers based on sum, difference, product and quotient
Find the order

Patterns and sequences

A pattern is a series or sequence that repeats. Mathematics patterns are sequences that repeat according to a rule or rules. Numbers can have interesting patterns, like Arithmetic sequences Geometric sequences and so on.
Find the next shape in a repeating pattern
Complete a repeating pattern
Make a repeating pattern
Find the next row in a growing pattern of shapes
Complete an increasing number pattern
Complete a geometric number pattern
Number patterns: word problems
Number patterns: mixed review

Coordinate plane

The plane containing X axis and Y axis is called coordinate plane. Cartesian coordinated can be used to pinpoint where we are on a map or graph. We can mark a point on a graph by how far along and how far up it is, the point (10,6) is 10 units along and 6 units up.
Objects on a coordinate plane
Graph points on a coordinate plane
Follow directions on a coordinate plane
Coordinate planes as maps

Data and graphs

A collection of facts, such as numbers, measurements or observations is called data. We can create a table with the data. A diagram of values, usually shown as lines is called graph.
Read a table
Interpret line graphs
Create line graphs
Interpret bar graphs
Create bar graphs
Interpret line plots
Create line plots
Frequency charts
Interpret stem-and-leaf plots
Create stem-and-leaf plots
Circle graphs
Choose the best type of graph


Teaching students about how to add and subtract money values and understanding the prices and rounding them up. It is an important practice for real life problems like understanding the prices and how money relates to real world.

Compare money amounts

Round money amounts

Add and subtract money amounts

Making change

Price lists

Units of measurement

A quantity used as a standard of measurement; it is how much makes up “1” of the measurement. So, 1 second is a unit of time or the basic unit of length in metric is meter so 1 meter is a unit of length.

Choose the appropriate metric unit of measure

Compare and convert metric units of length

Compare and convert metric units of mass

Compare and convert metric units of volume


Time is the ongoing sequence of events taking place. The past, present and future. We can measure time using clocks. Time has different units like second, minutes, hours, days and so on.

Match clocks and times

Match analogue and digital clocks

Read clocks and write times

Convert time units

Add and subtract mixed time units

Fractions of time units

Elapsed time

Find start and end times: multi-step word problems
Convert between 12-hour and 24-hour time

Time zones – 12-hour time

Time zones – 24-hour time

Transportation schedules – 12-hour time

Transportation schedules – 24-hour time

Time patterns


Geometry is branch of mathematics which deals with shapes, lines and space. Two-dimensional geometry or plane geometry is about flat shapes like triangles and circles. Three-dimensional geometry is about solid shapes like spheres or cubes.

Which two-dimensional figure is being described?

Identify three-dimensional figures

Count vertices, edges and faces

Identify faces of three-dimensional figures

Which three-dimensional figure is being described?

Nets of three-dimensional figures

Is it a polygon?

Number of sides in polygons

Lines, line segments and rays

Parallel, perpendicular and intersecting lines

Acute, right, obtuse and straight angles

Types of triangles

Parallel sides in quadrilaterals

Identify parallelograms

Identify trapezoids

Identify rectangles

Identify rhombuses

Classify quadrilaterals

Identify congruent figures

Identify lines of symmetry

Rotational symmetry

Geometric measurement

Geometric measurement is studying the properties of shapes by measuring them, like finding the Area or Perimeter of a shape.


Perimeter: find the missing side lengths

Find the area of figures made of unit squares

Select figures with a given area

Select two figures with the same area

Create figures with a given area

Find the area or missing side length of a rectangle

Area and perimeter: word problems


Understand fractions

Fractions help us to understand how many equal parts of a whole we have.

Understand fractions: fraction bars

Understand fractions: area models

Match fractions to models

Show fractions: fraction bars

Show fractions: area models

Unit fractions: modelling word problems

Unit fractions: word problems

Fractions of a whole: modelling word problems

Fractions of a whole: word problems

Fractions of a group: word problems

Equivalent fractions

Equivalent fractions are those fractions which have the same value even though they might look different at first glance.

Find equivalent fractions using area models

Graph equivalent fractions on number lines

Equivalent fractions

Fractions with denominators of 10, 100 and 1000

Patterns of equivalent fractions

Write fractions in lowest terms

Compare and order fractions

Comparing and deciding which fraction is greater or smaller than the other fractions.

Compare fractions with like numerators or denominators using models

Compare fractions with like numerators or denominators

Compare fractions using models

Graph and compare fractions on number lines

Benchmark fractions

Compare fractions using benchmarks

Compare fractions

Compare fractions in recipes

Order fractions with like numerators or denominators

Order fractions

Find smaller or larger fractions


A number that has a decimal point followed by digits that show a value smaller than one.

What decimal number is illustrated?

Model decimals and fractions

Understanding decimals expressed in words

Place values in decimal numbers

Equivalent decimals

Graph decimals on number lines

Decimal number lines

Graph fractions as decimals on number lines

Convert fractions to decimals

Convert decimals to fractions

Convert decimals between standard and expanded form using fractions

Round decimals

Compare decimals on number lines

Compare decimal numbers

Put decimal numbers in order I

Compare decimals and fractions on number lines

Compare decimals and fractions

Put decimal numbers in order II

Number sequences involving decimals

Add and subtract decimals

When we write numbers, the position of each digit is important. To learn how to add and subtract decimal numbers you need to learn about the position of digits and line up the decimal points.

Add decimal numbers

Subtract decimal numbers

Add and subtract decimals: word problems

Choose decimals with a particular sum or difference

Add three or more decimals

Add three or more decimals: word problems

Complete the addition or subtraction sentence

Inequalities with addition and subtraction

Estimate sums and differences of decimals

Solve decimal problems using diagrams

Probability and statistics

Probability is the chance of something happening or how likely it is that some event will happen. Probability is a number between 0 (not happening) to 1 (certainly happening). Easiest way to understand probability is to toss a coin. There are two outcomes of tossing a coin namely Heads or Tails.
Understanding probability Find the probability Make predictions Mean and mode Interpret charts to find mean and mode Combinations