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]]>Appearances can be deceptive. Our latest Year 5 reasoning worksheets look incredibly simple – just one question on a page and plenty of graphics showing fun days out to the zoo, water park etc. In reality they require a great deal of work; for instance, to decide whether a 3 for 2 offer is better than a family ticket. With three new sets, these form part of a superb collection of reasoning worksheets.

Go to Year 5 Reasoning/Problem Solving

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]]>The post Numbers around one million: Year 5 appeared first on URBrainy.

]]>A million no longer seems a large number in the modern world. With footballers being sold for over £50 million and houses in London costing well over £1 million it might be expected that children have a good understanding of large numbers. Indeed, children are expected to deal with numbers up to and beyond a million by the end of Year 5. However, this may not always be as easy as it appears and we have just published a great set of tricky questions involving numbers around one million to help with this understanding. Here is an example:

The new £1 coin has a thickness of 2.8 mm. How tall would a pile of one million £1 coins be?

Go to Number and Place Value in Year 5

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]]>The post Rounding large numbers appeared first on URBrainy.

]]>We have just added three more sets of worksheets on rounding large numbers, suitable for Year 5. The first two look at rounding numbers with 5 digits (including decimals) to the nearest 10 and 100. The third set looks at rounding the same 6-digit number to the nearest 100, 1 000 and 10 000. This is very similar to the style of question found on the SAT Papers in Year 6.

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]]>The post Times Tables appeared first on URBrainy.

]]>Why learning times tables is important.

Knowing times tables is very important for children for many reasons. Perhaps the most obvious is that it saves time when calculating.

If a child has to count up in fives and count on fingers to know how many lots have been counted (i.e. 5, 10, 15, 20, 25, 30) it is going to take them a whole lot longer than knowing the answer ‘off by heart’. Knowing times tables up to at least 10 times 10 is an incredibly powerful tool and really does make maths easier.

Just as important is that the knowledge of times tables is needed to work out any written multiplication or division, whether the long or short method is used. Divide 39 by 7 for example. If we know that 5 times 7 is 35 then it is easy to see that 39 divided by 7 is 5 remainder 4. If we don’t know that 5 x 7 is 35 then the problem gets a whole lot harder. Not knowing these facts is a major reason why many children and indeed adults think that they are no good at maths and why division is one of the main problem areas in teaching maths.

The introduction to algebra also needs a good knowledge of times tables.

C = 6. What is 7C + 3? Easy if you know that 6 x 7 is 42. Just add another 3 to make 45.

What can I do to help?

Times tables will be taught at school, but every child works at a different rate. Some find learning facts by rote very easy, others really struggle. But there is a very limited time in school and much of the real work in learning tables will probably be done at home. Good old Mum and Dad!

How can they be learned? There are many different ways. Some believe that singing them really helps, others recite them, almost like a poem, whilst many children like to time themselves to see how quickly a table can be completed. Another option is a quick fire computer game and there is no reason why our maths games cannot be used. (You do need the Flash Player although we are hoping to bring out some new games in the near future which will not use the Flash Player.) All seem to have one thing in common – repetition. Even now in some classrooms the whole class recite a table; that was the way I first learnt them many, many years ago!

So what is the best thing to do in the short time available? Well, a great start will be to browse through the extensive collection of highly targeted worksheets that we have on the times tables. You will find each table written out in words, plenty of practice on individual tables as well as further work on mixed tables and even plenty of fun activities, all designed to help your child learn the times tables. All these pages can be found in the multiplication category of the year groups that the National Curriculum state that they should be learnt in:

Year 2: 2x, 5x and 10x tables

Year 3: 3x, 4x and 8x tables

Year 4: 6x, 7x, 9x, 11x and 12x tables.

But they can also be found as a complete collection in our category:

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]]>The post Year 5 weekly programme appeared first on URBrainy.

]]>The final six weeks of the year 5 weekly programme are now available and there is plenty of tricky work for these last weeks.

Week 31 takes a look at large numbers, percentages, money problems, graphs and angle, as well as formal written methods of multiplication and subtraction.

Week 32 concentrates on place value, fractions and decimals as well as consolidating work on angle and time. Prime number questions are also included.

Week 33 has a wide range of topics including subtracting fractions, finding the mean and mode, the area of shapes and Roman numerals.

Week 34 is very much about number, with pages on mentally adding decimals, solving subtraction puzzles, practice for 4 rules and percentages. As a contrast there is also work on interpreting line graphs.

Week 35 is bringing us close to the end of term and targets some of the harder maths to be covered in year 5, including percentages, area, fractions and problem solving.

Finally, Week 36 finishes the year with pages on percentages, timetables, multistep word problems, fractions and a jolly number investigation.

Of course, all these resources and many, many more can be found within the Year 5 category and we recommend going to these for further practice if any problems arise.

Please note we will shortly be taking down all the weekly programmes apart from this last half term so that we can review them and update if necessary for the next school year.

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]]>The post Reasoning worksheets for Year 5 appeared first on URBrainy.

]]>Many of our resources in all categories involve mathematical reasoning, but we also have a special area, called Reasoning/Problem Solving for each year group which really concentrates on this important aspect of Mathematics.

We have just published four new sets of resources for Year 5 Reasoning on:

• Ordering decimals

One way to put decimals in order of size is to set up a table with the decimal point in the same place for each number; this makes it much easier to compare decimals to see which is the larger (e.g. 0.65, 5.6, 0.605 etc).

• Finding half way between two decimals

There are several ways of finding a number half way between two others and this applies equally well to decimals.

One way is to add the two numbers and then divide the answer by 2.

Another way is to find the difference by subtracting the smaller number from the larger number. Halve the difference and add this to the smaller number.

Which method to use would depend on the numbers involved and it is a good idea to ask children why they have chosen a particular method.

• Word problems with decimals

Here is a typical word problem involving decimals:

Liz chooses a number less than 20. She divides it by 2 and then adds 10. She then divides this result by 5. Her answer is 3.7. What was the number she started with?

Questions like this depend on knowing that addition is the opposite of subtraction and multiplication is the opposite of division. The reasoning comes in as the calculation is worked through step by step; if her answer is 3.7 and she had divided by 5 then multiplying by 5 will complete the first step…. and so on.

1. Start at the end with the final answer which was 3.7.

Multiply 3.7 by 5 (because Liz divided by 5). 3.7 x 5 = 18.5

2. Take away 10 from 18.5 (because Liz added 10) 18.5 – 10 = 8.5

3. Multiply 8.5 by 2 (because Liz divided her number by 2) 8.5 x 2 = 17

4. The number Liz started with was 17.

5. Check by dividing 17 by 2, adding 10 and dividing by 5

• Ordering fractions

Ordering fractions with different denominators needs a good understanding of equivalent fractions and the questions are quite hard (e.g. order five ninths, two sixths, two thirds and one twelfth). It is important to change the fractions so that the denominators are all the same. If these prove difficult it would be well worth looking at our Fractions category to get further practice.

Go to Reasoning worksheets for Year 5

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]]>The post Year 5 weekly programme: latest updates appeared first on URBrainy.

]]>The year seems to be flying past and we are already into the summer term and our next collection of worksheets for the year 5 weekly programme are now available.

Week 25 starts by looking at ordering large numbers and rounding to the nearest 10000 and 100000. The rest of the week has a great mixture of number sequences, fractions, money problems, graphs and tables to keep your children really on their toes.

Week 26 has work on understanding place value with large numbers and the tricky skill of converting improper fractions to mixed numbers. Measurement forms a major part of the week, including word problems, area and the 24 hour clock.

We continue with fractions in week 27 as well as some more work on negative numbers. There are also pages on short division, square numbers and perimeter of regular polygons. Calculating is not forgotten as we also include subtracting 5-digit numbers.

Four rules play a major part of week 28 with dividing 4-digit numbers, multiplying 4-digit numbers by 2-digits and subtracting large numbers. There are also pages on adding fractions and interpreting line graphs.

Week 28 continues with a real mixture of maths, from adding fractions to line graphs and work with money. The four rules are not forgotten either with plenty on division, multiplication and subtraction.

In week 29 we include work on the perimeter of regular polygons and axes of symmetry. We also take a look at multiplying fractions by whole numbers as well as plenty of addition, subtraction and multiplication.

Finally, in week 30 percentages are introduced together with some tricky pages on solving train timetable problems. Negative numbers and estimating angle provide a change to keep the interest going right to the end of the half term.

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]]>The post Year 5 Weekly Programme appeared first on URBrainy.

]]>The next 6 weeks of the Year 5 Weekly Programme has been eagerly anticipated by those who are looking for a short package of material covering all the major topics for maths in Year 5, and now it is here!

Week 19 takes a hard look at mental arithmetic and the skills needed to ensure fast mental and written calculations, including multiplying decimals by 10, 100 and 1000, mentally adding three small numbers and dividing mentally.

Week 20 still has plenty of mental work but also takes a look at Geometry, including perimeter, parallel lines and making shapes from nets.

Fractions is the theme for Week 21, with equivalent fractions, decimal fractions, mixed numbers and multiplying with decimals just some of the subjects covered.

This is continued into Weeks 22 and 23, with more work on adding and subtracting fractions as well as converting improper fractions to mixed numbers. Money and finding the area of rectangles are also included.

Week 24 has a wide range of topics, including rounding, tests of divisibility, time and addition.

There is a considerable amount of work covered in each week, as well as the mental arithmetic questions and with the constraints of time you may well have to carefully pick and choose from these resources.

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]]>The post Year 5 Weekly Programme appeared first on URBrainy.

]]>We are continuing with our weekly programme for Year 5 with the next half term’s resources having just been published. Six weeks of mixed activities, covering a wide range of maths, although calculating is the main priority.

Week 13 starts by looking at really large numbers with reading and writing numbers in the millions. This is certainly tricky stuff and plenty of practice is needed. Negative numbers are also included as well as more on rounding numbers and factors. To complete the week we have a great page on Roman numerals.

Week 14 starts by looking at mental and written addition; adding 3 or 4 small numbers mentally, using the knowledge that subtraction is the inverse of addition and using the formal written method of addition. Other pages include subtraction crossing the hundreds boundary, solving multi-step problems and measurement problems.

Factors feature heavily in Week 15, as well as plenty of mental multiplication and division, finishing with long multiplication and division.

In Week 16 we change the focus to estimating and measuring length and mass before going on to some more number work; multiplying decimals by 10, 100 and 1000. We end with some tricky word problems.

Understanding equivalent fractions is very important in Year 5 and we start Week 17 with two pages on this before moving on to writing large numbers in figures and words, 3D shape, co-ordinates and reflections. The week concludes with some tricky ordering of decimals.

Football and The Planets provide the focus for more large number work in Week 18. More on equivalent fractions and converting fractions to decimals before finishing the half term with some angle work.

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]]>The post Year 5 Assessment Paper appeared first on URBrainy.

]]>We are delighted to publish the latest in our set of assessments for each year group, which are all available free of charge, even if you are not a subscriber. The latest Year 5 Assessment is based around the new primary curriculum and is a very comprehensive test of the new targets.

There is no need to complete the assessment in one go – we would suggest that several shorter periods of time would be better. We would also recommend talking to your child about how they are answering the questions as a great deal can be learnt about children’s mathematical thinking by doing this.

Below is a summary of the maths included in the assessment:

1. using large numbers, up to at least 1 000 000

2. interpreting negative numbers

3. rounding numbers to the nearest 10 000 or 100 000

4. reading Roman numerals

5. adding whole numbers with more than 4 digits

6. subtracting numbers with more than 4 digits

7. solving addition and subtraction multi-step problems

8. understanding factors, square numbers and prime numbers

9. multiplying numbers up to 4 digits by a 1-digit or 2-digt number

10. using the formal written method of short division

11. adding fractions with denominators that are multiples of the same number

12. multiplying fractions by whole numbers

13. writing percentages as decimal numbers and fractions

14. solving problems using percentages and decimal equivalents

15. converting between different units of metric measure

16. finding the perimeter of shapes

17. identifying properties of 3-D shapes

18. calculating and drawing angles in degrees

19. understanding translations of shapes

20. reading and interpreting line graphs

Plenty to be going on with. If your child struggles with any of these aspects of maths there is a host of material available to help, within the urbrainy year 5 worksheets.

Take a look at the free Year 5 Assessment Paper

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