Targets for Year 1

To be able to successfully help your child with maths at home it is important to have a good idea of what is expected in school. This is a list of the targets expected of children by the end of Year 1 and most teachers will be planing their work around these. Of course this does not mean that all children will achieve these targets; some will find them impossible whilst many will be able to go on further. However, they do act as good starting point.

Counting and understanding number

By the end of year 1 children should

• know the number names (one, two, three etc) up to at least 20 and tens up to 100
(eg twenty, thirty, forty etc).

• be able to count up to 20 objects reliably. If the objects (eg buttons on a tray) are moved around they should be able to say that the total number has not changed without recounting. (Younger children will count them again if they have been moved around.)

• be able to read and write numerals up to 20
(eg 3, three, 4, four, 5 five, etc).

• be able to place numbers on a blank number line in the correct order.

• be able to say the number that is one more than or one less than any given number up to 20
(eg one less than 7).

• be able to say the number ten more than or ten less than a multiple of 10
(eg ten more than 30).

• recognise the equals sign (=) and understand it means “..is the same as..”

• use the terms, half and quarter in a practical sense
(eg give me a quarter of the orange).

Knowing and using number facts

By the end of year 1 children should

• know addition facts up to a total of 5
(eg 3 + 2).

• know all pairs of numbers with a total of 10
(eg 1 and 9, 2 and 8 etc).

• be able to work out subtraction facts from the addition facts they know.
(eg 5 -2 = 3 because 3 + 2 = 5)

• be beginning to count on and back in twos, fives and tens.

• know the doubles of all numbers up to 10
(eg double 6 is 12).

Calculating

By the end of year 1 children should

• know that addition can be done in any order.

• be able to write simple number sentences using the + and = signs
(eg 3 + 4 = 7).

• use practical methods (eg using counters) to help with addition of a 1-digit number to a 1-digit or 2-digit number
(eg 10 + 4 =).

• use informal written notes to help with addition
(eg jotting down the answer to adding 2 numbers before trying to add the third).

• understand that subtraction can mean ‘take away’.

• understand that subtraction can mean ‘find the difference between’.

• be able to use practical methods to help with subtraction of a 1-digit number from a 1-digit number
(eg using counters).

• use informal written notes to help with subtraction
(eg jotting down 5 circles and crossing out 3 for 5 – 3).

• be able to write simple number sentences using the – and = signs
(eg 7 – 4 = 3).

• understand and use the vocabulary related to addition and subtraction, including: more, add, sum, total, altogether, equals, =, take away, subtract, difference between, how much more/less, how many are left?

• be able to combine groups of 2, 5 and 10 in a practical situation
(eg combining marbles into groups of 5 marbles).

• be able to share a group of objects into 2 equal parts
(eg sweets shared equally).

Understanding shape

By the end of year 1 children should

• be able to visualise and name common 2-D shapes, including circle, triangle, rectangle and square. This includes activities such as “Find a shape which has 3 corners and 3 sides”.

• be able to visualise and name common 3-D shapes, including, cube, cuboid, sphere, cone and cylinder. This includes activities such as describing the properties of a shape by the feel of it, before seeing it.

• be able to make patterns and pictures with 2-D shapes and make models with 3-D shapes such as Lego.

• begin to describe the position of shapes, using terms such as: over, under, underneath, above, below, outside, inside, in front, behind, beside, before, after, next to, opposite, between, middle, centre, edge, corner, top, bottom, side. This is where activities such as moving furniture around a toy house are very important or placing counters on a board game.

• be using everyday language to describe direction, such as: left, right, up, down, forwards, backwards, sideways, across, along, through, to, from, towards, away from.

• begin to be able to describe movements in a straight line and turning. At first turning will only be by whole and half turns but it is important to recognise shapes that turn about a point, such as a pair of scissors.

• Once again it must be emphasised that most of this work is done orally with practical equipment. Toys, board games, may seem like playing to us but are invaluable learning experiences.

Measuring

By the end of year 1 children should
• understand and use the basic vocabulary related to length, mass and capacity.
For length: long, short, tall, high, low, wide, narrow, deep, shallow, thick, thin, far, near and words of comparison eg longer.
For mass: weight, weighs, heavy light, balances.
For capacity: full, empty, half full, holds.

• be able to make direct comparisons between two items eg comparing the length of two pencils, the weight of two parcels, the capacity of two cups. A set of balance scales is very useful for this kind of work.

• begin to use non-standard measures
(eg the jug holds 6 cups of water, the table is about 7 rulers long).

• be making sensible estimates and guesses related to length, mass and capacity. Standard units such as cm, km, kg are not used at this stage.

Using and applying maths

By the end of year 1 children should

• solve problems involving counting, addition, subtraction, doubling, halving, measures and money
(eg a toy shop, paying and giving change with numbers up to 10).

• describe and solve simple puzzles or problems
(eg How many ways can you score 4 rolling two dice?).

• sort information, shapes or objects and display the results using pictures
(eg sort cubes by colour).

• describe simple patterns involving numbers or shapes
(eg continue a pattern of repeated squares and circles).

• describe ways of solving a puzzle or problem orally
(eg talk about or draw what coins could be used to make 6p).

Resource of the Week: know number facts in year 2

A lot is expected of children in Year 2, especially what they should know off by heart when calculating. By the end of the year they should:

•    know all addition facts for two numbers up to a total of 10.      (eg 4 + 5.)

•    be able to derive subtraction facts for numbers up to 10.     (eg if they know that 6 + 3 = 9, they can instantly work out that 9 – 6 = 3.)

•    know all the pairs of whole numbers which total 20.    (eg 16 + 4.)

•    know all the pairs of multiples of 10 which total 100.   (eg 30 + 70.)

•    know the doubles of whole numbers up to a total of 20.  (eg double 7.)

•    understand that halving is the inverse of doubling and hence derive halving facts from their knowledge of   doubling.   (eg if double 8 is 16, then half 16 is 8.)

•    recall 2, 5 and 10 times-tables.  (eg know 5 x 6.)

•    work out related division facts.   (eg if 5 times 2 is 10, then 10 divided by 5 is 2.)

Now, that is quite a lot to know with instant recall, and they will need plenty of practice to achieve this. Why not go to our Year 2 Knowing and Using Number facts to help them on their way?

Year 2 Knowing Number Facts

Resource of the week: adding 2-digit numbers mentally

shape image

One of the keys to success with maths is being able to calculate mentally. There should be no need to resort to written methods or to a calculator to add two 2-digit numbers; mental calculations should rule!

Having said that, these are not easy, and a number of skills need to have been learned to do these in an efficient manner.

For example: looking at ‘add 46 to 67’.

There a a number of ways to do this. Perhaps the most efficient is to add 40 to 67 to make 107 and then add on the extra 6 to make 113.
The second part of the sheet is a reminder of some of the ways that addition questions can be phrased.

Free Y4 maths worksheet: More addition in your head (pg 2)

Measuring in kilometres

shape imageChildren in the UK get far less experience at using kilometres than most Euoropeans because we have decided to keep with the mile for most of our longer measuring. Of course this is a nonsense: to start with a system using mm, cm and metres and then switch to a completely different system ie miles does not make any sense at all! Until our road signs are changed there is little hope of any improvement in this situation.

Whilst there are 1760 yards in a mile the much simpler metric system has the easy to calculate 1000 metres in a kilometre.

At this stage children should be beginning to write half a kilometre as 0.5 km but 1/2 km is acceptable. This free maths worksheet concentrates on writing half kilometres as decimal fractions.

Free Y3 maths worksheet: Measuring in kilometres (pg 3)

Scalene triangles

scalene

A lot of work is done on triangles in Primary Schools and by year 5 and 6 most children are familiar with the properties of right angled triangles, equilateral triangles and isosceles trinagles. However, fewer children know about the scalene triangle. A scalene triangle is one which has no sides the same length and no equal angles. It is worth pointing out that right angled triangles could also be scalene if all the sides are different lengths.

Thanks to MathSphere Ltd for this worksheet: and there are many more similar pages, both on their site and part of the ‘It’s All Figured Out’ CD.

Go to our year 5 shape resources

Year 6 SAT questions

With SATs just a couple of weeks away now is the  time of year that schools intensify their year 6 revision.. The types of question that come up are fairly predictable and follow a similar layout each year. It is well worthwhile, therefore, to let your children have a practice at the style of questions they are likely to come across on the test.

We have a good selection of SAT questions which can be printed free of charge, including pages on:

writing numbers

making mathematical statements true

completing number sentences

number problems

time problems

symmetry

Why not have a look at our Year 6 ‘Booster’ pages for SATs?

Resource of the Week: written addition

Written methods of calculating continue to prove to be some of the more popular pages on the site. This week I would like to highlight a Year 5 maths worksheet on written addition which is the second in a series showing children clearly how addition should be laid out and also giving them the opportunity to re-write questions from a horizontal lay out to a vertical layout. The hardest part of this is to ensure the numbers line up under each other, starting with the units on the far right. Squares can help with this in the early stages, but children should also get used to laying them out correctly without squared paper.

Rarely, if ever, will you find a SATs addition question which has been laid out already in the traditional, or standard method but it is expected that children use this method when solving a difficult addition calculation.

This pager can be found in our Year 5 Calculating section. Similar pages, with more detailed instructions, can also be found in our Four Rules section.

Written addition of several numbers (2)

Resource of the week: sorting shapes in Year 1

One of the earliest stages of data handling is to be able to sort and a lot of practical work can be done, such as tidying up a drawer of pens, pencils, paper clips etc. Don’t underestimate this type of practical activity as it is important for children learning to group and order objects.

The next stage is to be able to record the results and here we have a simple page where the two sets of shapes can be sorted and recorded on the columns.

The outlines of the cylinders and cubes are provided and it is just a matter of counting the number of each shape and recording by colouring the correct number on the columns.

The task can be extended by providing real cubes, keeping to two or three colours and recording how many there are in columns.

This page can be found in our Handling Data section for Year 1.

Sorting shapes 1

Resource of the Week: Easter co-ordinates for Year 4

As we move towards Easter it is always fun to have some maths linked to the time of year.

There are several important aspects to this page. Firstly the axes are numbered rather than the spaces. This is an important step as the conventions of using co-ordinates come into play. It is important to show how co-ordinates are written:

e.g. (3, 1)

Brackets are always placed around the co-ordinates, with the numbers separated by a comma. The position (3, 1) means 3 along and 1 up, which in this case takes you to the pink rabbit (and not the rabbit holding the basket of eggs).

The grid can be used for further work: e.g.

1.ask how you can move along the lines to go from one point to another (2 along and 1 up)

2. Draw more features at the points and ask where they are positioned.

3. Ask child to draw an egg at a certain point etc.

This can be found in the Year 4 Shape category.

Thanks to urbrainy.com for allowing me to use it.

Easter coordinates

Resource of the Week: interpret pie charts

Something which looksvery easy, but can cause difficulties for this week’s Resource of the Week. Pie charts are a good way to illustrate the proportion of a whole amount or quantity. The arc length of each sector or the sectors area is proportional to the quantity it represents. This might sound a little tricky, but pie charts can be effective in displaying information.

This worksheet looks at a pie chart where the percentages have also been given. This allows for numbers to be worked out if the total number is given. The first pie chart looks at ice cream sales and the second looks at football supporters attending a tournament.

Pie chart (1)