Coming soon: 4x table, addition investigation and square numbers

astro1Our Four Rules section of the site is developing into a very useful resource for those looking to improve calculating skills. Next week we add to it with a 4x table page. The four times table has a number of characteristics which can be pointed out to help children. Firstly, all the answers are even, so must end in 0, 2, 4, 6 or 8. Secondly it is double the two times tables.

We also have a maths investigation on addition, suitable for year 2. There are four numbers shown. The task is to choose any three numbers and add them up. great for developing a well organised, systematic approach.

Another excellent addition to the site will be the third in our mini series on square numbers, ideal for year 5 children.

Resource of the Week: Booster page for Year 6 SATs.

rocket1 Don’t forget that we have some excellent ‘booster’ pages for children who will be doing their SATs this summer. Here we have some examples of the type of arithmetic questions that come up. An interesting example is the question which asks to put the digits 7, 3 and 4 into the boxes to make the total of 41.

Sometimes there is more than one way to do this type of question and it is a matter of using ‘trial and improvement’ to solve it.

One good way to tackle it is to look at the units (in this case 1) and see which two digits added together will put a 1 in the units. The only option here is is to add the digits 7 and 4 (which make 11), put these in the units boxes and it is easy from there on.

Thanks to MathSphere for letting us use this worksheet.

Booster maths worksheet 3

Coming soon: 3x table, division and decimal fractions

plane9Next week we will have a slightly harder worksheet than the last one published on the three times table. This page does not have a number line to help and the questions are asked in different order eg 6 x 3 or 3 x 6. This could be used as a timed challenge for those who are gaining confidence in learning the table.

Also coming up soon a straightforward set of questions on dividing 2-digit numbers by ten, with remainders. It is aimed at children in Year 2 who are just getting to grips with division and know their ten times table. We will also be publishing a good revision worksheet on place value and the use of thousandths.

Resource of the Week: Measuring using the metric system

Thanks to MathSphere and Mathsgogo for these two worksheets which show how much easier the metric system is than the old Imperial system. Take length for example: no 12 inches in a foot, 3 feet in a yard or 1760 yards in a mile. It’s all tens, hundreds and thousands! By Year 4 (8/9 yrs old) children should know the standard units of measurement for length, including the abbreviations.

mm (millimetres) cm (centimetres) m (metres) and km (kilometres) .

They should also know that:

1 kilometre = 1 000 metres

1 metre = 100 centimetres or 1 000 millimetres

1 centimetre = 10 millimetres

These facts really do have to be learned, but it is not too difficult as they are all multiples of 10, unlike the old Imperial system!

They should also be developing their understanding of what is the best unit to use: eg what is the most suitable unit to measure the length of the garden?

It is not so easy to find real life situations where kilometres are used – certainly in athletics, cycling races etc, but unfortunately our roads are still signposted in miles – but that issue is for another whole series of blogs!

Why standard units?

Using kilometres and millimetres

How do you say 2010?

How are you saying the new year 2010?
There seems to be some debate about this. Some are saying ‘two thousand and ten’ whilst others are saying ‘twenty ten’.
‘Twenty ten’ is similar to the last century when we said dates such as 1990 as ‘nineteen ninety’ but few people used this way during the first decade of the new century eg 2008 was not often said as ‘twenty eight’.
Of course the children around here in the south will just say’ twenyten’ because as far as they are concerned there is only one t in twenty (tweny)!

Let us know what you think.

Resource of the Week: Year 4 bar charts

Don’t forget that we have a growing number of resources on data handling, including the bar chart or bar graph. These pages are aimed at Year 4 children. The vertical bars represent the number of people going out on a boat. Each bar is completely separate from the others.

It is important that children get used to naming the horizontal and vertical axes and that these axes should always be named.

The hardest part of interpreting this bar chart involves the number of people shown on the vertical axis. The numbers go up in twenties, but of course there are intermediate values. The number of people on the 11.00 boat is more difficult to read and only a close approximation between 120 and 140 can be made. As it looks just less than half way to the next interval an estimate of just below 130 would be very accurate.

It is important not to just look at the graph but to also make some suggestions as to why the results are as they are. Why did the 12.00 boat have the least number of people on it, but the 1.00 boat have the most?

The second worksheet has similar problems, but the numbers on the vertical axis go up in tens rather than twenties.

Free Y4 maths worksheet: Bar charts (pg 1)

Free Y4 maths worksheet: Bar charts (pg 2)

Coming soon: 3x table, square numbers and decimal fractions

snowflake_1Happy New Year everyone and we hope that 2010 is a great year for maths!

Next week we start the year with a worksheet on the three times table which is ideal for those children just beginning to get to grips with learning tables. It includes a number line to help those who are still ‘counting on’. The 3 times table is one of the harder tables to learn, as there is little pattern but answers do alternate between odd and even.

We also have a page on square numbers, suitable for Year 5, which looks at the patterns of square numbers.

For older students we have a page on working out the value of decimal fractions up to thousandths.

01.10.01.10.01.10

Well it looks as if the Binary Age is almost upon us and we’ve been waiting a long time for this tremendous event.

Of course 1st January 2010 can be represented as 01.01.10, but New Year’s Day is just the start of something much bigger.

The 1st second of the 1st minute of the 1st hour of the 1st day of January 2010 can be written:

01.01.01.01.01.10

but perhaps even more interesting is a date later in the month: Continue reading “01.10.01.10.01.10”

Resource of the Week: Adding puzzle for Christmas

christtreeOnce again from the stats I can see that everyone is very busy with shopping, eating, drinking etc so will join you all and have a week off. I will leave you with a little puzzle given to us by Mathsphere which we sent up a year ago in case you have nothing better to do!

Put the numbers 1, 2, 3, 4, 5 in the bottom layer of baubles on the Christmas tree. The next layer is made by adding the pairs of numbers below and so on up to the top.

The numbers on the bottom row can be put in any order – what order will give the highest possible total at the top?

Answer is given for those who have eaten too many mince pies.

Happy Christmas

Christmas adding puzzle

Coming Soon: Time, the Metric System and tables.

monitor1By year 4 children are expected to know that:

1 week = 7 days
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds

One of next week’s maths worksheets uses this knowledge to answer  some straightforward questions. It also requires a calculator so more detailed information can be found, such as the number of minutes in a week.

As we all know, practice makes perfect, and we are publishing a page next week which gives loads of practice for the 2x, 5x and 10x tables. This is the first stage in introducing the idea of filling in a multiplication grid, multiplying the numbers across and down to fill in the grid.

The Metric system is so much easier than the old Imperial system, but there are still a few problems which come up when converting larger units to smaller units.Look out for this great worksheet on converting metric units.