Number and Place Value
There are some tough challenges in the new Year 2 Programme of Study. Let’s begin by looking at ‘Number and place value’, which states:
Pupils should be taught to:
• count in steps of 2, 3, and 5 from 0, and in tens from any number, forward or backward
• read and write numbers to at least 100 in numerals and in words
• compare and order numbers from 0 up to 100; use <, > and = signs
• recognise the place value of each digit in a two-digit number (tens, ones)
• identify, represent and estimate numbers using different representations, including the number line
• use place value and number facts to solve problems.
Writing numbers to at least 100 in words is a real challenge which quite a few children will not be able to manage by the end of the year. The teen numbers are challenging, such as thirteen and fourteen, whilst when spelling whole tens, forty mysteriously loses the ‘u’.
A key idea in this category is partitioning numbers in different ways. For example:
24 can be split up or partitioned into 20 + 4 or 10 + 14 or even 12 and 12.
This is important to understand as it helps with written addition and subtraction in later years. Also it is important to begin to understand zero as a place holder; i.e. the 1 in 100 has a value ten times the 1 in 10, with the zeros being used as place holders.
Counting in multiples of 3 is a new target, introduced to help later with understanding the concept of a third.
The ‘more than’ and ‘less than’ signs are introduced for the first time; terms which in the past were introduced much later.
We have a great selection of worksheets on all these topics, so why not take a closer look?
Counting on and back
This covers domain reference 2N1: count in steps of 2, 3 and 5 from 0 and in tens forward or back.
Counting forms a major part of Year 2 maths, including counting on in threes, fives and tens up to at least 100. Number grids and squares are often used to help with counting and positioning numbers.
Plenty of snails here to practise counting up to 20.
A nice, easy introduction to our Superbrain section with these worksheets on counting on 3, 4, 5 or 6 from a single digit. By now your children will probably be confident enough to give some of the answers without counting on. This means that they are beginning to learn the answers to 'number bonds' such as 5 + 3 is 8.
Maths is all to do with pattern. Here we have patterns made on a number square when counting on in threes, fours and fives.
Fill in the missing numbers on a section of a number square. Not as easy as it might look.
Here are some more number squares with parts missing. Only numbers up to 100.
Plenty of practice at counting up in fives and seeing the patterns.
First work out what the rule is and then fill in the missing numbers. Counting up in twos, threes and fives.
Work out the number patterns and fill in the missing numbers.
Counting larger numbers of objects by grouping into tens -: quite tricky!
Follow the dogs leads to complete the number lines in whole tens up to 90.
Here are four great maths worksheets for those children who are confident with counting in ones and are ready to move on to counting up in tens from any 2-digit number. Whilst the pages concentrate on the same skill, they are all very different. Don't be surprised if your child uses fingers to help them with this. For example, counting on 3 tens from 21, many children will start at 21, hold one finger up for 31, 2 for 41 etc.
Counting on in equal steps. Not as easy as it looks and fingers may be used!
Complete the number tracks, counting in threes, fives or tens.
What numbers come next to carry on the pattern of counting on?
More practice at continuing number patterns, counting up and down.
Counting back in tens from whole tens.
Here we have a tricky set of maths worksheets on counting back in tens, starting from any 2-digit number. An important thing to point out to children is that the ones/units will remain the same as the number gets ten less. This is good practice at understanding place value, so important later on.
Counting back in threes from 2-digit numbers.
Counting back is the preliminary stage before subtracting 'in your head'. These worksheets ask your child to count back from numbers up to 20. At first they will probably use fingers or other maths material to count back, but as they gain confidence they will begin to use other mental methods and begin to know the answers ' off by heart'.
Practise counting back, crossing the tens boundary.
Complete the missing numbers with numbers up to and across 100.
Reading and writing numbers
This covers domain reference 2N2a: read and write numbers to at least 100 in numerals and in words
Writing teen numbers and whole tens in words.
Writing numbers in the twenties.
Looking at the spelling of numbers in the thirties.
Writing numbers in the forties.
Using 'Look, say, cover, write, check' for whole tens up to one hundred.
Try writing 2-digit numbers in words and figures.
Read and write 2-digit numbers.
More reading and writing of 2-digit numbers.
This covers domain reference 2N2b: compare and order numbers from 0 up to 100; use <, > and = signs.
Children will be expected to order numbers up to 100 and use the more than and less than signs.
Put these 2-digit numbers in order, starting with the smallest.
Put sets of 2-digit numbers in order, starting with either the largest or smallest.
Putting 5 numbers in order. Quite tricky!
Circle the greater amount using words and numbers.
More finding the greater amount using words and numbers.
4 tricky pages on finding numbers which are between two other 2-digit numbers. Also find a number exactly half way between two other numbers.
Write down the nearest whole tens using the < sign.
Using >< and = to compare numbers.
More use of > < and = symbols to compare numbers.
Using > and < symbols with numbers in words.
Using number cards and explaining answers.
Using ordinal numbers.
Using ordinal numbers.
Odd and even numbers
Recognising and finding odd and even numbers.
Sorting groups of numbers into odd and even numbers.
Finding odd and even numbers between the two numbers given.
How many different odd and even numbers can be made from the digits cards?
Place value and partitioning (100s 10s and 1s)
This covers domain reference 2N3: recognise the place value of each digit in a two-digit number (tens and ones) and 2N6: use place value and number facts to solve problems.
Understanding place value is the key to working with larger numbers. Bar models, abacuses and place value grids all help with this.
An abacus is an excellent resource for helping your child understand 2-digit numbers up to 99. It shows clearly the two columns, the ones and the tens. In other words the 2 yellow balls in the tens column have a value of 20 whilst the two balls in the ones column have a value of 2. This will also help later when multiplying by 10 as they can see each digit moving one place to the left.
Using bar models to help make number sentences correct. Use of < > and =.
Using part whole models with 2-digit numbers.
Fill in the missing numbers in these part-whole models.
Using place value charts to represent numbers.
Completing place value charts using 2-digit numbers.
Completing place value charts with numbers up to 100.
Partitioning using crabs and snails!
Practice with understanding place value grids.
Partition 2-digit numbers in different ways.
Partition 2-digit numbers in lots of different ways: quite tricky!
Some quite tricky partitioning to help with subtraction of 2-digit numbers.
More partitioning, to help with addition of 2-digit numbers.
Important place value pages writing the value of a digit depending on its place in the number.
Comparing amounts shown in place value grids.
More comparing numbers shown in a place value grid.
Write the numbers shown on the abacus: hundreds, tens and ones.
Fill in the abacus to show the numbers below. Great for helping to understand place value.
Find the value of the digits in 3-digit numbers.
This covers domain reference 2N4: identify, represent and estimate numbers using different representations, including the number line.
Number lines are a great resource to help with counting and estimating.
Four tricky pages on estimating where whole numbers lie on a blank number line.
This might look simple but is actually quite tricky. Some leeway is needed, approximately half a centimetre either side.
More estimating on a number line.
Accurate estimating on a 0 to 20 number line.
More practice at estimating the position of numbers on a number line.
This covers domain reference 2N4: identify, represent and estimate numbers. Being able to estimate a small amount is an important skill for Year 2 children.
Estimating the number of buttons, bees and sheep.
Estimating the number of panes of glass, stones etc in buildings.
Estimating the number of tiles on roofs, flowers etc.