## CONTENTS Around the time children reach the second grade, their thinking and problem-solving skills begin to take off. Kids start to explore specific activities that interest them and learn skills like tying their own shoelaces, making them feel more independent and confident. 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. Mixed operations, Fractions, and divisions are the most challenging topics in second grade.

## Counting and number patterns Any number you can use for counting. Number patterns is a list of numbers that follow a certain sequence or pattern.
Skip-count by twos
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Skip-count by fives
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Skip-count by tens
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Skip-count by twos, fives and tens
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Skip-counting sequences
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Count forward by twos, fives and tens – up to 100
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Counting patterns – up to 100
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Number lines – up to 100
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Hundreds chart
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Skip-counting stories
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Skip-counting puzzles
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Even or odd
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Identify numbers as even or odd
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Select even or odd numbers
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Even or odd numbers on number lines
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Which even or odd number comes before or after?
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Number lines – up to 1000
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Count forward and backward – up to 1000
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Counting patterns – up to 1000

## Comparing and ordering Comparing numbers and understanding the concepts of greater than, less than, or equal to.
Comparing numbers up to 100
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Comparing numbers up to 1000
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Put numbers up to 100 in order
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Put numbers up to 1000 in order
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Greatest and least word problems – up to 100
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Greatest and least word problems – up to 1000

## Names of numbers Learning the name of numbers up to thousands and learning different type of numbers such as Roman numbers.
Spell word names for numbers up to 20
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Writing numbers up to 100 in words – convert words to digits
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Writing numbers up to 100 in words – convert digits to words
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Writing numbers up to 1000 in words – convert words to digits
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Writing numbers up to 1000 in words – convert digits to words
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Ordinal numbers up to 10th
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Ordinal numbers up to 100th
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Distinguishing ordinal and cardinal numbers
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Roman numerals I, V, X, L

## 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
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Growing patterns
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Find the next shape in a repeating pattern
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Find the next shape in a growing pattern
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Complete a repeating pattern
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Make a repeating pattern
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Find the next row in a growing pattern 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 one-digit numbers – sums to 10
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Ways to make a number – sums to 10
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Match addition sentences and models – sums to 10
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Write addition sentences to describe pictures – sums to 10
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Addition with pictures – sums to 20
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Ways to make a number – sums to 20
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Write addition sentences to describe pictures – sums to 20
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Addition sentences using number lines – sums to 20
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Addition input/output tables – sums to 20
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Add doubles – complete the sentence
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Addition word problems – sums to 20
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Complete the addition sentence – sums to 20
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Write addition sentences for word problems – sums to 20
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Balance addition equations – one digit
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Add three or more one-digit numbers
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Add three or more one-digit numbers – word problems
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Identify repeated addition in arrays: sums to 10
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Write addition sentences for arrays: sums to 10
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Identify repeated addition in arrays: sums to 25
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Write addition sentences for arrays: sums to 25

## 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).
Subtract one-digit numbers – up to 10
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Ways to subtract – up to 10
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Write subtraction sentences – up to 10
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Subtract doubles
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Subtraction with pictures
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Subtract a one-digit number from a two-digit number up to 18
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Write subtraction sentences to describe pictures – up to 18
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Subtraction sentences using number lines – up to 20
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Subtraction input/output tables – up to 18
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Subtract zero/all
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Subtraction sentences: which is true?
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Subtraction word problems – up to 18
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Complete the subtraction sentence – up to 18
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Write subtraction sentences for word problems – up to 18
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Balance subtraction equations – up to 18

## 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 and subtract numbers up to 20
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Addition and subtraction – ways to make a number – up to 20
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Addition and subtraction word problems – up to 20
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Addition and subtraction – balance equations – up to 20
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Addition and subtraction sentences up to 20 – which is true?
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Input/output tables – write the rule – up to 20
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Input/output tables – add and subtract by 10
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Add and subtract numbers up to 100
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Addition and subtraction – ways to make a number – up to 100
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Addition and subtraction word problems – up to 100
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Addition and subtraction – balance equations – up to 100
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Input/output tables – write the rule – up to 100
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Input/output tables – add and subtract by 100
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Input/output tables – add and subtract by 10 or 100
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Which sign (+ or -) makes the number sentence true?
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Inequalities with addition and subtraction – up to 100

## 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 – tens and ones
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Place value models – up to hundreds
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Place value models – up to thousands
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Identify a digit – tens and ones
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Identify a digit up to the hundreds place
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Place value – tens and ones
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Place value – up to hundreds
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Place value – up to thousands
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Regroup tens and ones
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Regroup tens and ones – ways to make a number
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Convert to/from a number – tens and ones
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Convert to/from a number – up to hundreds
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Convert to/from a number – up to thousands
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Convert between place values – up to hundreds
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Convert from expanded form – tens and ones
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Convert from expanded form – up to hundreds
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Convert from expanded form – up to thousands

## 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 ten
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Round to the nearest ten
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Round to the nearest ten or hundred
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Round to the nearest ten, hundred or thousand
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Estimate sums within 100
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Estimate sums within 1000
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Estimate differences

## Logical reasoning Logical reasoning is a way of solving problem by using logic thinking skills and reasoning.
Guess the number

## 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.
Coin values
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Count money – up to \$1
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Count money – up to \$2
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Count money – up to \$100
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Equivalent amounts of money – up to \$1
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Equivalent amounts of money
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Exchanging coins – up to \$1
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Exchanging coins – up to \$2
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Comparing groups of coins
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Add and subtract money – up to \$1
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Add and subtract money – word problems – up to \$1
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Which picture shows more – up to \$1
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Which picture shows more?
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Least number of coins
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Purchases – do you have enough money – up to \$1
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Purchases – do you have enough money – up to \$2
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How much more to make a dollar?
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Correct amount of change
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Making change

## 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 analogue clocks and times
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Match digital clocks and times
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Match analogue and digital clocks
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Time words: o’clock, half, quarter
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A.M. or P.M.
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Compare clocks
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Elapsed time I
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Elapsed time II
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Time patterns
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Relate time units
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Seasons
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Days of the week
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Months of the year
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Number of days in each month
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## 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
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Which tally chart is correct?
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Interpret tally charts
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Interpret bar graphs
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Which bar graph is correct?
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Interpret line plots
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Create line plots
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Interpret pictographs
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Create pictographs
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Sort shapes into a Venn diagram
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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.

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Long and short
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Tall and short
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Light and heavy
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Holds more or less
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Compare size, weight and capacity
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Reasonable temperature
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Measure using objects
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Measure using a centimetre ruler
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Which metric unit of length is appropriate?
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Metric units of length: word problems
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Which metric unit of mass is appropriate?
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Which metric unit of volume is appropriate?
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Compare and convert metric units of volume
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Compare and convert metric units of mass
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Choose the appropriate measuring tool

## Two-dimensional shapes Two-dimensional geometry or plane geometry is about flat shapes like triangles and circles. Two-dimensional figures have only two dimensions such as width and height but no thickness. It also known as “2D”.

Name the two-dimensional shape

Select two-dimensional shapes

Count sides and vertices

Compare sides and vertices

Equal sides

Number of sides in polygons

Flip, turn and slide

Identify congruent shapes

Symmetry

Compose two-dimensional shapes

## Three-dimensional shapes Having three dimensions such as Height, Width and Depth, like any real-world object is a three-dimensional figure. Three-dimensional geometry is about solid shapes like spheres or cubes. It is also known as “3D”.

Name the three-dimensional shape

Select three-dimensional shapes

Count vertices, edges and faces

Compare vertices, edges and faces

Identify shapes traced from solids

Identify faces of three-dimensional shapes

Nets of prisms and pyramids

Shapes of everyday objects I

Shapes of everyday objects II

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

Perimeter

Perimeter – word problems

Area

Select figures with a given area

Create figures with a given area

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

Halves, thirds and fourths

Make halves, thirds and fourths

Identify the fraction

Which shape illustrates the fraction?

Unit fractions: modelling word problems

Fractions of a group

Fractions of a group: word problems

Compare fractions using models

## Probability and statistics Probability is a branch of mathematics which describes randomness of events happening around us. The more likely an event to happen, the higher its probability would be.

More, less and equally likely

Certain, probable, unlikely and impossible

Identify the mode

Interpret charts to find the mode

Combinations

## 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.

Count equal groups

Identify multiplication expressions for equal groups

Write multiplication sentences for equal groups

Relate addition and multiplication for equal groups

Write multiplication sentences for arrays

Multiplication tables for 2, 3 and 4

Multiplication tables up to 5

Multiplication tables for 2, 3, 4, 5 and 10

Multiplication tables for 6, 7, 8 and 9

Multiplication tables up to 10

## 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 by counting equal groups

Write division sentences for groups

Divisors and quotients up to 5

Divisors and quotients up to 10