## CONTENTS

Grade 3 is the class by which the children have realized that school is a part of their routine, so are concepts like homework. More confident than second graders, children in grade 3 are also more expressive about their thoughts and emotions. This is also the age where children influence each other easily. Between all of this, understanding of mathematical concepts becomes even more critical for students.
Equations and variables, decimals, and probability and statistics are the most challenging topics in third grade.

## Numbers and comparing

Any number you can use for counting. Number patterns is a list of numbers that follow a certain sequence or pattern. Comparing numbers and understanding the concepts of greater than, less than, or equal to.

Skip-counting by twos

Skip-counting by fives

Skip-counting by tens

Skip-counting by fives and tens

Skip-counting by twos, fives and tens

Skip-counting stories

Skip-counting sequences

Count forward and backward by fives and tens

Count forward and backward by twos, fives and tens

Skip-counting puzzles

Number sequences

Even or odd

Even or odd: arithmetic rules

Prime and composite numbers

Ordinal numbers to 100th

Number lines: up to 1000

Write numbers in words: up to 1000

Write numbers in words: up to 100 000

Roman numerals I, V, X, L, C, D, M

Comparing numbers: up to 1000

Comparing numbers: up to 100 000

Pick the greatest/least number: up to 1000

Pick the greatest/least number: up to 100 000

Put numbers up to 1000 in order

Put numbers up to 100 000 in order

## Place values

The value of where a digit is in a number is called place values. Identifying the names of places (ones, tens, and hundreds) and value of digits in different places in a numbers.

Place value models up to hundreds

Place value models up to thousands

Place value names up to hundreds

Place value names up to ten thousands

Value of a digit: up to hundreds

Value of a digit: up to ten thousands

Convert to/from a number: up to hundreds

Convert to/from a number: up to ten thousands

Convert between place values: up to hundreds

Convert between place values: up to ten thousands

Convert from expanded form: up to hundreds

Convert from expanded form: up to ten thousands

Convert between standard and expanded form: up to hundreds

Convert between standard and expanded form: up to ten thousands

Place value word problems: up to hundreds

Place value word problems: up to ten thousands

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 two numbers up to two digits

Complete the addition sentence – up to two digits

Balance addition equations – up to two digits

Use models to add three-digit numbers – without regrouping

Use models to add three-digit numbers – with regrouping

Add two numbers up to three digits

Addition input/output tables – up to three digits

Add two numbers up to three digits – word problems

Complete the addition sentence – up to three digits

Balance addition equations – up to three digits

Add three or more numbers up to three digits each

Add three or more numbers up to three digits – word problems

Addition up to three digits: fill in the missing digits

Add two numbers up to four digits

Addition input/output tables – up to four digits

Add two numbers up to four digits – word problems

Complete the addition sentence – up to four digits

Balance equations up to four digits

Add three or more numbers up to four digits each

Add three or more numbers up to four digits – word problems

Addition up to four digits: fill in the missing digits

Addition patterns over increasing place values

## Subtraction

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).

Subtraction facts: up to 18

Subtract numbers up to two digits

Complete the subtraction sentence – up to two digits

Balance subtraction equations – up to two digits

Subtract numbers up to three digits

Subtraction input/output tables – up to three digits

Subtract numbers up to three digits – word problems

Complete the subtraction sentence – up to three digits

Balance subtraction equations – up to three digits

Subtraction up to three digits: fill in the missing digits

Subtract numbers up to four digits

Subtraction input/output tables – up to four digits

Complete the subtraction sentence – up to four digits

Subtraction up to four digits: fill in the missing digits

Subtraction patterns over increasing place values

## Multiplication

The multiplication of numbers can be seen as repeated addition. For example, 3×4 = 4+4+4. It is important to learn the basic operations for future math works.

Multiply by a multiple of ten

Multiply numbers ending in zeroes

Multiplication patterns over increasing place values

Multiplication input/output tables

Multiplication input/output tables: find the rule

Multiplication facts up to 5×5: word problems

Multiplication facts up to 10×10: word problems

Multiplication word problems with facts up to 5×5: find the missing factor

Multiplication word problems with facts up to 10×10: find the missing factor

Compare numbers using multiplication

Compare numbers using multiplication: word problems

Multiply one-digit numbers by two-digit numbers using area models I

Multiply one-digit numbers by two-digit numbers using area models II

Multiply one-digit numbers by two-digit numbers

Multiply one-digit numbers by two-digit numbers: word problems

Multiply one-digit numbers by three-digit numbers using area models I

Multiply one-digit numbers by three-digit numbers using area models II

Multiply one-digit numbers by three-digit numbers

Multiply one-digit numbers by three-digit numbers: word problems

Multiply three or more numbers

Multiply three or more numbers: word problems

## Division

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.

Divide numbers ending in zeroes

Division patterns over increasing place values

Division input/output tables

Division facts up to 5×5: word problems

Division facts up to 10×10: word problems

Divide two-digit numbers using area models

Divide two-digit numbers

Divide two-digit numbers: word problems

Divide two-digit numbers with remainders using arrays

Divide two-digit numbers with remainders

Divide three-digit numbers using area models

Divide three-digit numbers

Divide three-digit numbers: word problems

Divisibility rules for 2, 5 and 10

Divisibility rules for 3, 6 and 9

Divisibility rules for 4 and 8

## 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.

Addition, subtraction, multiplication and division facts

Complete the addition, subtraction, multiplication or division sentence

Multiplication and division facts up to 5×5: true or false?

Multiplication and division facts up to 10×10: true or false?

Multiplication and division facts up to 12×12: true or false?

Multiplication and division sentences up to 12×12: true or false?

Add and subtract data from tables

Multiplication and division word problems

Comparison word problems: addition or multiplication?

Addition, subtraction, multiplication and division word problems

Perform multiple operations with whole numbers

Two-step addition and subtraction word problems

Two-step multiplication and division word problems

Two-step mixed operation word problems

Multi-step word problems

Understanding parentheses

Missing operators

Multi-step inequalities

## Equations and variables

Equation is like a statement of form “This equal to that”, left hand side is equal to right hand side. 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.

Identify equations

Solve for the variable: addition and subtraction

Solve for the variable: multiplication and division

Solve for the variable

Write variable equations to represent word problems: addition and subtraction

Write variable equations to represent word problems: multiplication and division

Write variable equations to represent word problems

## Estimation and rounding

Estimation is a math strategy used to guess a number or quantity. Understanding estimation helps to simplify numbers, making them easier to understand or work with.

Estimate to the nearest 10

Round to the nearest 10 or 100

Round to the nearest 10 000

Round money amounts

Rounding puzzles

Solve inequalities using estimation

Estimate sums up to 1000

Estimate sums up to 1 000000

Estimate sums: word problems

Estimate differences up to 1000

Estimate differences up to 1 000 000

Estimate differences: word problems

Estimate sums and differences: word problems

Estimate products

Estimate products: word problems

Estimate quotients

Estimate quotients: word problems

Estimate sums, differences, products and quotients: word problems

Two-step word problems: identify reasonable answers

## Logical reasoning

Logical reasoning is a way of solving problem by using logic thinking skills and reasoning. Logical reasoning is the process of using rational, systemic steps based on mathematical procedures to find an answer about your problem.

Guess the number

Largest/smallest number possible

Find the order

Age puzzles

Find two numbers based on sum and difference

Find two numbers based on sum, difference, product and quotient

## Patterns

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.

Repeating patterns

Find the next shape in a repeating pattern

Complete a repeating pattern

Make a repeating pattern

Growing patterns

Find the next shape in a growing pattern

Find the next row in a growing pattern

Use a rule to complete a number pattern

## Money

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.

Count coins and bills: up to \$5 bill

Count coins and bills: up to \$20 bill

Do you have enough money: up to \$10

Do you have enough money: up to \$50

Which picture shows more?: up to \$5 bill

Which picture shows more: up to \$20 bill

Making change: up to \$10

Making change: up to \$50

Inequalities with money

Put money amounts in order

Price lists

## Time

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

A.M. or P.M.

Write times

Elapsed time

Elapsed time word problems

Convert between seconds, minutes and hours

Relate time units

Time patterns

Convert between hours and fractions of hours

Convert between 12-hour and 24-hour time

Timelines

## 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.

Objects on a coordinate plane

Coordinate planes as maps

Graph points on a coordinate plane

Interpret pictographs I

Interpret pictographs II

Create pictographs I

Create pictographs II

Interpret bar graphs

Create bar graphs

Use bar graphs to solve problems

Interpret line plots

Create line plots

Interpret frequency charts

Create frequency charts

Interpret line graphs

Create line graphs

Sort shapes into a Venn diagram

Count shapes in a Venn diagram

## 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.

Reasonable temperature

Measure using a centimetre ruler

Which unit of length is appropriate?

Compare units of length

Convert units of length

Which unit of mass is appropriate?

Compare units of mass

Convert units of mass

Which unit of volume is appropriate?

Compare units of volume

Convert units of volume

Choose the appropriate measuring tool

## Geometry

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.

Identify two-dimensional shapes

Count and compare sides and vertices

Identify three-dimensional shapes

Count vertices, edges and faces

Identify faces of three-dimensional shapes

Nets of three-dimensional shapes

Shapes of everyday objects I

Shapes of everyday objects II

Is it a polygon?

Lines, line segments and rays

Parallel, perpendicular and intersecting lines

Angles greater than, less than or equal to a right angle

Acute, obtuse and right triangles

Scalene, isosceles and equilateral triangles

Reflection, rotation and translation

Identify congruent shapes

Symmetry

Compose two-dimensional shapes

## Geometric measurement

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

Perimeter of rectangles

Perimeter of polygons

Perimeter of rectilinear shapes

Perimeter of figures on grids

Perimeter: find the missing side length

Perimeter: word problems

Find the area of figures made of unit squares

Select figures with a given area

Select two figures with the same area

Tile a rectangle and find the area

Multiply to find the area of a rectangle made of unit squares

Create figures with a given area

Create rectangles with a given area

Find the area of rectangles and squares

Find the missing side length of a rectangle

Area of figures on grids

Find the area of complex figures by dividing them into rectangles

Find the area of complex figures

Volume

## Understand fractions

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

Identify equal parts

Identify halves, thirds and fourths

Make halves, thirds and fourths

Make sixths and eighths

Make halves, thirds, fourths, sixths and eighths

Understand fractions: fraction bars

Understand fractions: area models

Show fractions: fraction bars

Show fractions: area models

Match fractions to models: halves, thirds and fourths

Match unit fractions to models

Match fractions to models

Fractions of number lines: unit fractions

Fractions of number lines

Identify unit fractions on number lines

Identify fractions on number lines

Graph unit fractions on number lines

Graph fractions on number lines

Graph smaller or larger fractions on number lines

Unit fractions: modelling word problems

Fractions of a whole: modelling word problems

Fractions of a group: word problems

Decompose fractions into unit fractions using models

Decompose fractions into unit fractions

## 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: two models

Find equivalent fractions using area models: one model

Identify equivalent fractions on number lines

Find equivalent fractions using number lines

Select equivalent fractions

Find 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 using models

Compare fractions using number lines

Graph and compare fractions with like denominators on number lines

Graph and compare fractions with like numerators on number lines

Graph and compare fractions on number lines

Compare fractions with like denominators

Compare fractions

Order fractions with like denominators

Order fractions

## Decimals

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

Convert between decimals and fractions

Convert decimals between standard and expanded form using fractions

Understanding decimals expressed in words

Place values in decimal numbers

Equivalent decimals

Graph decimals on number lines

Graph fractions as decimals on number lines

Number sequences involving decimals

Round decimals

Compare decimals using models

Compare decimals on number lines

Inequalities with decimals

Put decimal numbers in order

Add and subtract decimals – word problems

Estimate sums and differences of decimals

Add three or more decimal numbers

## 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).

More, less and equally likely

Certain, probable, unlikely and impossible

Find the probability

Find the mode

Find the mean

Interpret charts to find mean and mode

Combinations