Month: July 2010

Year 3 maths worksheet: Make 12 investigation

Here we have a rather nice number investigation for Year 3. Using exactly 5 of the cards, how many ways can 12 be made?

It is probably a good idea to cut out the cards, or make your own, to make it much easier to move the numbers around to make the number sentences.

As with all investigations look out for a  logical, well ordered method, although at the beginning most children will work in a random fashion (as will most adults.) Once it is clear that there are a number of 2-digit subtractions that can be done it is important to show them in some logical way so that it can be seen that all possible combinations have been covered.

Rules can be changed or adapted: one of the first questions which might come up is ‘Can I use the cards twice?’ In the case of adding three single digits the plus sign needs to be used twice, but children can make their own rules for this.

Make 12 investigation

Year 5 maths worksheet: ratio and proportion

This is our second page on ratio and proportion, an area of maths which is less well covered than the traditional four rules but nevertheless involves key concepts.

An important part of this page is to be able to show the ratios in the simplest form. This process is similar to showing fractions in their simplest form, for example 6:4 can be simplified to 3:2 by dividing each by 2.

Remember, when finding the proportion of something the whole total of all items needs to be worked out. So to find what proportion of the total orders was tea, add up all the orders, which comes to 80. So the proportion of tea is 24/80. This can be simplified to 3/10.

Ratio and proportion (2)

Coming soon: Make 12 investigation, ratio and decimals

With the summer holidays nearly upon us  we have a rather nice number investigation for Year 3. Using exactly 5 of the cards, how many ways can 12 be made? As with all of these mini investigations children need to be encouraged to work in a well organised, ordered way rather than haphazardly.

We will also be publishing our second page on ratio and proportion, an area of maths which is less well covered than the traditional four rules but nevertheless involves key concepts.

An important part of this page is to be able to show the ratios in the simplest form. This process is similar to showing fractions in their simplest form, for example 6:4 can be simplified to 3:2 by dividing each by 2.

For year 6, a calculator/decimal page. This again looks at decimal fractions and how to manipulate them. The first set of questions involve changing decimals, using either the multiplication or division keys of the calculator, in just one step.

The second set of questions use the add or subtract keys. A good test of understanding place value.

Calculator game: 6x table

The six times table is one of the hardest to learn, but here is another in our calculator games sequence which will help reinforce the table. Remember the idea is to choose a number on the board and then work out which number multiplied by 6 will make the chosen number.

This can be found in our Year 4 resources under Knowing Number Facts.

6x table calculator game

Resource of the Week: know pairs that make 20

know-pairs-that-make-20-pg-2

Here we have a straightforward maths worksheet on knowing pairs of numbers that add up to twenty. This is suitable for year 2 children or those who are already very confident with knowing pairs of numbers that make ten.

If these facts are not known there are several ways of working the answers out, including:

1. Counting on from the smaller number.

2. Counting on from the smaller number up to 10 and then adding another 10. (If smaller number is below 10.)

3. Counting back from 20, which is trickier.

A good follow up to this page is to ask how many different ways you can make 20 by adding just two numbers.

If you are looking for resources for Key Stage 1, then urbrainy.com is well worth a visit.

Know pairs that make 20 (pg 2)

Year 5 maths worksheet: ratio and proportion

This can be quite a tricky subject for children to fully understand. If there are 6 yellow cubes and four blue cubes we can say that the ratio of yellow to blue is 6 to 4. This can be simplified to 3 to 2.

The proportion is usually written as a fraction of the whole lot, so the proportion of yellow cubes would be 6 out of 10, or when simplified, 3 out of 5. This can be written as a fraction 3/5.

In the same way, the proportion of blue cubes would be 4 out of 10 or 2 out of 5 (2/5).

A good way to check that the proportions are correct is to add the fractions which should make one.

3/5 + 2/5 = 5/5 or 1.

Ratio and proportion (1)

Year 3 maths worksheet: Counting back

This is the second page of revising counting back in whole tens from any 2-digit or 3-digit number. Some children still find this difficult, especially when it involves crossing a hundreds boundary. If children do find this hard it is well worthwhile going back to a large number square and making sure that they are confident with counting on, crossing the hundreds boundary.

Revise counting back in tens (2)

Ratio and proportion, counting back and calculator game

We sometimes take for granted that children can count without any problems. Unfortunately, this is often not the case. Next week we  publish the second page of revising counting back in whole tens from any 2-digit or 3-digit number, aimed at year 3 children. Some children still find this difficult, especially when it involves crossing a hundreds boundary and they will need as much practice as possible.

Ratio and proportion can also be quite a tricky subject for children to fully understand. If there are 6 yellow cubes and four blue cubes we can say that the ratio of yellow to blue is 6 to 4 or 6:4. This can be simplified to 3 to 2 or 3:2.

The proportion is usually written as a fraction of the whole lot, so the proportion of yellow cubes would be 6 out of 10, or when simplified, 3 out of 5. This can be written as a fraction 3/5. This is usually covered in year 5 and developed further in year 6.

The six times table is one of the hardest to learn, but we will be publishing another in our calculator games sequence which will help reinforce this table as a great revision exercise for year 4.

Maths worksheet: Divide decimals by 10 or 100

This is a good revision sheet for Year 6 to make sure that they understand the process of dividing decimals by 10 or 100. Knowledge of this is crucial for success in High School.

To divide by 10 move each digit one place to the right.

To divide by 100 move each digit two places to the right.

Sometimes a zero can be removed. For example: 360 divided by 100 is 3.60 or 3.6.

Sometimes a zero needs to be added. For example: £33 divded by 100 is £0.33.

Divide by 10 and 100