What is expected? Part 5: Year 3.

What is expected of children during their primary school years in England?

Year 3 ( aged 7/8)

In year 3 one of the major areas of progress is in using written methods for working out harder addition, subtraction, multiplication and division. At first these will not be the shortened ‘standard’ methods which we use, but steps towards them and may well take the form of jottings. However, the emphasis is still on mental calculations and a question should only be done on paper if it can’t be done mentally. To help with mental arithmetic more tables are to be learned by heart including the 6x table.
Remember to look at the year 2 expectations to see the progression. Continue reading “What is expected? Part 5: Year 3.”

Free Y3 maths worksheets: Harder doubles.

Free Y3 maths worksheets: Harder doubles.

know2These two worksheets look at doubling larger numbers, including those in the teens. It is well worthwhile asking children how they have worked these out in their heads, making use of the knowledge they have. For example doubling 17 can be worked out in several ways:

double 10 and double 7 and add

double 7 and double 10 and add

double 20 and take 6 away

double 15 and add 4.

Children will develop different methods but they do need to be shown that there is more than one way to reach the answer. The ultimate aim is to find a variety of efficient quick methods for calculating.

Free Y3 maths worksheets: Harder doubles (pg 1)

Free Y3 maths worksheets: Harder doubles (pg 2)

Free Y2 maths worksheets: Adding and subtracting.

Free Y2 maths worksheets adding and subtracting numbers up to 10

know2A couple of speed trials aimed to improve rapid recall of basic addition and subtraction facts. Eventually knowledge of addition of single digits should become second nature – children do not need to work them out, but know them just like they know their name! Subtraction facts can then quickly be worked out from this knowledge.

Free Y2 maths worksheets: Adding numbers up to 10

Free Y2 maths worksheets: Subtracting numbers up to 10

Free Y1 maths worksheets: Counting in twos.

Free Maths worksheets: Counting in twos.

know2Two maths worksheets which look at counting on and back in twos. When doing this keep to small numbers until children are really confident moving up and down a number line in twos. Don’t forget you can create your own number lines on a path, driveway etc and jumping up and down in twos can be more exciting than just jumping in ones! Start at different numbers and talk about what is happening eg counting down – with odd numbers you will always end on one, whilst with even numbers you will end on zero. It is also easy to make your own number tracks on paper – with a little imagination move a train along a track or a pirate’s prisoner along the plank! Once again, it can’t be emphasised enough how important it is to play simple board games with your children where they are moving counters along a number track.

Free Y1 maths worksheets: Counting in twos (pg 1)

Free Y1 maths worksheets: Counting in twos (pg 2)

Teaching Tables: software review

Teaching Tables: software review

Teaching TablesTeaching Tables by Primary Games Ltd
Tables, tables, tables, the nightmare for so many parents whose children just don’t seem to ‘get’ them. Founded by Mark Cogan, an ex teacher, this is one of a collection of CDs or downloads aimed mainly for schools but could be very useful for home use. It contains both games to play and worksheets to print, all aimed at improving knowledge of tables. There are 5 games: Continue reading “Teaching Tables: software review”

Maths worksheets: Rounding to the nearest million. Y6

Rounding to the nearest million

countingLarger numbers can be rounded in just the same way as rounding hundreds or thousands, always referring to the digit below the one you want to round.

Eg rounding to a million, look at the hundred thousand digit:

2 345 456 is rounded down to 2 000 000 (two million) to the nearest million because the hundred thousand digit is only 3.

2 987 654 is rounded up to 3 000 000 (three million) to the nearest million because the hundred thousand digit is 9.

Children are often fascinated by large numbers and there are plenty of good sources in geography, such as population figures, areas of countries etc

6201-03 Rounding to the nearest million (pg 1)

6201-04 Rounding to the nearest million (pg 2)

Maths worksheets: Partition numbers and place value. Y5

Maths worksheets: Partition numbers and place value Y5

countingBy year 5 children are expected to be able to read and write some seriously large numbers. A really good understanding of place value is needed to read large numbers successfully. The key to looking at a number and working out how to say it lies in separating the number up into a series of hundreds, tens and units.

Let’s look at 123 456 789 Continue reading “Maths worksheets: Partition numbers and place value. Y5”

News: Children should start school later.

The Professional Association of Teachers (PAT) have called for children to start school at the age of 6 or 7 rather than 4, which is the current situation. They argue that school deprives them of free, indirected play, which leaves them at a disadvantage when faced with the difficulties of the real world. Continue reading “News: Children should start school later.”

Maths worksheets: Partition into ThHTU. Y4

Maths worksheets: Partition into ThHTU Y4

countingA good understanding of place value is crucial for successful mental arithmetic and progress with written methods of the four rules. The value of a digit depends on its place in the number. For example: the 2 in 1 234 is worth 200 whilst the 2 in 4 321 is worth only 20. Our whole number system is based around this idea but don’t be surprised if your children find it difficult – many do! It seems quite an old fashioned idea to place the letters HTU to stand for hundreds, tens and units, above a number or sum, but it does help with this understanding and in reading numbers out loud. Continue reading “Maths worksheets: Partition into ThHTU. Y4”

News: From Years to Y.

News: From Years to Stages

I have had a number of emails concerning the listings of the site in Years. Many parents are very aware that their children are a little behind with their maths compared to their age group, but are very reluctant to do work considered suitable for younger children. Because of this and because the year groups only really apply to English schools I revised the titles of categories and worksheets to Stages rather than Years. This  seemed to be not very popular so I have reverted back to just showing Y on titles etc. Y1 is for 5/6 years old, Y2 is for 6/7 years old, Y3 is for 7/8 years old, Y4is for 8/9 years old, Y5 is for 9/10 years old and Y6 is for 10/11 years old. The worksheets are challenging and a good many children will not be able to cope with the suggested level. It is highly recommended to always start from something that your child has success with, even if it means moving down two or three years.