Adding and subtracting fractions

Adding And Subtracting Fractions

When adding, subtracting or doing any sort of work with fractions it is important that the children see diagrams and pictures so that they can visualise what’s happening.

Starting With The Basics

A slower introduction to the subject with a cartoon spaceman – older learners may want to skip this.

 

 

A Good Starting Point For 9/10-Year-Olds And Beyond

In this video from Corbettmaths we get some very clear examples of addition in fractions and also some subtractions at the end so you can see the connection.

We’re looking at adding fractions with the same denominators.

 

Adding Fractions With A Common Denominator

If you want to go over that more slowly and see it pictorially tey this video, otherwise just jump to the next one!

Quick And Easy Ways Of Adding And Subtracting Fractions.

I like this video, but I would do the last calculation differently. I would add up the whole numbers 1 plus 2 equals 3, and then I would add up to fractions in the same way as he has done previously. Perhaps you might like to put in the comments which method you would use and why.

Adding And Subtracting Mixed Numbers

Now in this video, the woman does use the method I suggested and also looks at a better way to find the common denominator but I think it’s worth looking at the previous video first.

Adding and Subtracting Mixed Numbers Word Problems

Now once you are confident with adding and subtracting fractions you need to be able to apply it to solving word problems and this is an excellent video to show you how to do that.

Adding Fractions Review

This is a useful video if you’re just coming back to this page later and want to quickly revise what you learnt here.

Adding Three Fractions Fast

 

This guy does everything fast.  You might find it useful to stop the video from time to time and check you understand what is happening.

 

Adding Three Fractions Using The Common Denominator Method

Mr J finds the common denominator before starting the rest of the calculations. This keeps the numbers smaller,

Adding Mixed Numbers

This is a more detailed video where we look at adding mixed numbers. First of all it is done with the same denominators and then with different denominators.

Hundreds Chart Missing Numbers

 

Hundreds Chart Missing Numbers

 

Reversed Hundreds Chart With Missing Numbers

What I also wanted was to be able to have a reversed hundreds chart. I was trying to figure out a way to create using Excel but although I could create the numbers, I couldn’t figure out how how to get the missing numbers.

Then I found this site.  It gives lots of different options.

You can have straightforward missing numbers and there are lots of fonts and colours to choose from. Then you can just click randomise to give you lots of different grids using the same options.

However, it is the “Edit Numbers” bit that really excites me!

Click on that and you get this pop up:

As you can see, you can use negative numbers and decimals and even change the increments. So by starting at 100 and setting the increments at -1, I have what I am after.

 

 

https://www.senteacher.org/printables/Mathematics/37/HundredSquarePrinter.html

Multiplication tables

4x Table

By starting at 4 and choosing an increment of 4, I can take the 4 x table all the way to 100 x 4.

One thing that struck me by looking at it, in this format, was that I realised why the 4 x table has the last digit 4,8,2,6,0, pattern running through it.  4×5=20 and so you are adding 20 to 2 to get to 24, 20 to 8 to get to 28, 20 to 12 to get to 32 and so on.

What else might your children notice?

What questions might you ask?

In the table are the numbers: 12, 112, 212, 312.  Would 412 be there if we carried on? Why or why not?

 

 

11 x table

What do you notice here?

Take a look at any 3-digit answer where the two outside numbers add up to the number in the centre.  In all these cases the two outside numbers will be the number of times 11 goes into the three-digit number.

For example,  594, 5+4=9,   and 54×11=594

If you have a 3-digit number where the two outside numbers do not add up to the number in the centre, then take away 1 from the first digit in order to work out how many times 11 goes into the whole number.

For example, 836,   8+6=14, so take 1 away from the first digit,  76×11=836.

You can use this information to help you you multiply two-digit numbers by 11.

For example 35,   add 3 and 5 together to make 8 and your answer will be 358.  so 35 x 11 equals 358.

For example 38,  add 3 and 8 together to make 11 and your answer will be 418.   What you did here was to put the 11 in between these two numbers, but then to add Decrease the number in the hundreds column by 1. After all, multiplying by 11 is just multiplying by 10 and then multiplying by 1.By doing this as a column addition and you’ll see what I mean.

380 +

38

 

Take a look at some of the other tables and see what else you might notice.  Let me know what you spot in the comments area below.

 

 

Some other websites which allow you to print off a free hundreds chart.

HomeSchoolMath.net

https://www.homeschoolmath.net/worksheets/number-charts.php

On this page, you can make a variety of pre-prepared charts but towards the bottom of the page there is also a “Number Chart Worksheet Generator”.

This allows you to create hundreds charts which skip numbers and you can also choose to highlight every, for example, 5th square.  In this example, I have chosen to start at 3, make my increments 3, and hight every 2nd square.

The obvious thing it shows is the 6 x table, but what else can you see?

I found myself adding up the digits of the answers.  What do you think I discovered?

 

 

 

 

Other types of hundreds charts

One website I enjoy using is http://www.math-aids.com/ . you can use it for free which I did for many years but then decided that there is so much on here to explore that it was really worth paying the subscription fee. This gets rid of all the adverts and gives the site a much cleaner feel.  I think the downloads are quicker as well.

Here are some of the other hundreds charts you can get.

Make puzzles for your kids to complete

http://members.math-aids.com/Hundreds_Chart/Puzzles.html

 

 

Create pictures by colouring in certain numbers

http://members.math-aids.com/Hundreds_Chart/Pictures.html

 

 

Create a hundreds chart showing whether the round up or down.

http://members.math-aids.com/Hundreds_Chart/

 

Create letters of the alphabet.

 

Is this useful?  Let me know any ideas of how you might use it.

The one thought I had would be to get children to add up the coloured numbers and see which were the most or the least.

 

 

Some games to play using the hundreds chart

Have a look at this site for some ideas of games to play with hundreds charts.

https://www.thoughtco.com/hundreds-chart-2312157

I would love to find other sites with more ideas on.

Please let me know if you find any.

 

 

Finally, you might want to look at these Youtube videos featuring hundreds charts

Here is a basic introduction to the hundreds chart.

 

Some basic patterns from Khan Academy

Adding and subtracting by 1 and 10 and how and why to use puzzle parts of the hundreds charts.

Some nice graphics on this video

Number game using puzzle pieces.

Subtraction on the 100s chart

Looking at multiples in the hundreds chart.

 

Not All Who Wander Are Lost

Hi,

I just spotted this as I was browsing Wealthy Affiliate.  (WA is the blogging training and community area I use for support.)

Source: Not All Who Wander Are Lost 

 

Do you enjoy the mountain(s) you are climbing?

I love tutoring and I love building this website.  That’s not a bad start.

European Countries Wordsearch

European Countries Wordsearch

You choose the level of difficulty when doing these European countries wordsearches.

 

How To Play
  • Choose the size of the grid that you want to play.  The larger the grid the longer the words are that can be included and more words are likely to be included.
  • Look for the words. All the words can be read left to right and top to bottom.
  • Click or touch the first letter of the word and the last letter of the word.
  • The words will then be highlighted in different colours.
  • Find all the words and you will win the game.
BTW - if you have words in the grid that you were not expecting - click on the page title to refresh.  If you just have https://tutor-your-child.com showing then the words will be drawn from all of the wordsearches on the website.
Select Level:
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European Countries and Capital wordsearch example
European Countries and Capital wordsearch example

 

 

 

 

 

 

European Countries and Capital wordsearch example with answers
European Countries and Capital wordsearch example with answers

KS2 Adverbs Wordsearch

KS2 Adverbs Wordsearch

Here we have a KS2 adverbs wordsearch.

Children could use this for fun and then use some of the words they find here in their writing.

 

How To Play
  • Choose the size of the grid that you want to play.  The larger the grid the longer the words are that can be included and more words are likely to be included.
  • Look for the words. All the words can be read left to right and top to bottom.
  • Click or touch the first letter of the word and the last letter of the word.
  • The words will then be highlighted in different colours.
  • Find all the words and you will win the game.
BTW - if you have words in the grid that you were not expecting - click on the page title to refresh.  If you just have https://tutor-your-child.com showing then the words will be drawn from all of the wordsearches on the website.
Select Level:
{{ currentLevel.width }}x{{ currentLevel.height }}
{{cell.letter}}

English Tutors for Adults

English Tutors for Adults

We know that there is a rise in the number of parents who are looking for tutors for their children but there people are also looking for English tutors for adults.

Where you are an adult looking for a tutor or a tutor looking to support adults you might want to take a look at Tutorful.

I have written about Tutorful here.

To be a tutor, you need to be in the UK and go through all the usual checks – the site will give you some support to do this. You can then choose whether to tutor live in your community or tutor online or do a mixture.  If you have enjoyed tutoring your own child then this might be a natural extra stream of income.

If you are looking for a tutor you don’t have to be in the UK, but in that case, you would need to opt for online tutoring.

You could choose me – Julia K from Birmingham – on the system, or any other tutor that is offering what you need.

Click here to go straight to Tutorful and get £5 off your first lesson.

 

Learning to teach
Learning to teach

QTS Skills Training

I do tutoring for a mixture of adults and children.

One area that I have expertise in is supporting potential teaching staff in passing their QTS Skills in Literacy and Numeracy.

QTS stands for Qualified Teacher Status and now in order to be accepted onto a teaching degree course you need to have passed your QTS Skills Test.

Introduction to the QTS Skills Test on the government site

– this is where you will get the latest up-to-date information

http://sta.education.gov.uk/

Example papers –

If you are fairly confident with your Maths and English you may find just downloading these papers – which have good clear explanations of the answers – may be enough to let you prepare for the tests.  Ideally, you would complete the papers under test conditions and then mark it. You have a separate marking sheet and explanation sheet, so you can use the marking sheet first, then have another go at any you have got wrong before turning to the explanation sheets.

http://sta.education.gov.uk/professional-skills-tests/numeracy-skills-tests

http://sta.education.gov.uk/professional-skills-tests/literacy-skills-tests

There are four tests available in each section.

Extra help needed

If you look at these and find them challenging then you may want a tutor.

If you have good GCSE’s in these subjects you should be able to pass (you can take the tests a number of times), but they do include areas that are not covered by the GCSE curriculum and there is a timed section in the maths with takes a bit of getting used to for some people, especially if you have done little or no mental arithmetic for a couple of years.

I was trained to support those taking the QTS skills tests when they first appeared so I have quite a lot of experience with them.

Unless you are near the south of Birmingham, in which case I could arrange to meet up with you, the sessions would need to be done online, or with another tutor.

Don’t forget your £5 voucher.

And good luck whether you are taking QTS tests or are looking for a tutor for another reason.

 

European Countries and Capitals Wordsearches

European Countries and Capitals Wordsearches

I hope that you enjoy these European Countries and Capitals wordsearches.

 

European Countries

How To Play
  • Choose the size of the grid that you want to play.  The larger the grid the longer the words are that can be included and more words are likely to be included.
  • Look for the words. All the words can be read left to right and top to bottom.
  • Click or touch the first letter of the word and the last letter of the word.
  • The words will then be highlighted in different colours.
  • Find all the words and you will win the game.
BTW - if you have words in the grid that you were not expecting - click on the page title to refresh.  If you just have https://tutor-your-child.com showing then the words will be drawn from all of the wordsearches on the website.
Select Level:
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King Henry VIII’s Wives – free resources

King Henry VIII’s Wives – free resources

Here I have listed some of the free resources that are available when you are researching King Henry VIII’s Wives.

His 6 wives were Catherine of Aragon, Anne Boleyn, Jane Seymour, Anne of Cleves, Kathryn Howard and Katherine Parr.

Catherine of Aragon

There is a rhyme to help us remember how their marriages ended –

“Divorced, beheaded, died; divorced, beheaded, survived”.

An Introduction to Henry’s Wives

This is suitable for Primary school children and beyond as an introduction

http://primaryhomeworkhelp.co.uk/tudors/kings/wives.html

as is this –

https://www.natgeokids.com/uk/discover/history/monarchy/wives-of-henry-viii/

A Crossword and a Word Search from Primary Resources

– with answers

http://www.primaryresources.co.uk/history/pdfs/Henry VIII_xwd.

pdf

PowerPoint from Primary resources

http://www.primaryresources.co.uk/history/powerpoint/HenryVIIIsWives.ppt

Another introduction to the wives

– aimed at secondary by accessible for older primary

https://www.historyonthenet.com/the-tudors-the-six-wives-of-henry-viii

 

Horrible Histories song about the wives

– with a transcript on this page

https://multimedia-english.com/videos/esl/henry-viii-song-horrible-histories-1764

Another amusing song to help you remember the wives

– perhaps check this out before sharing with children.

It is sung to the tune of Money, Money, Money by ABBA

https://www.youtube.com/watch?v=3EGzHsye71c&feature=youtu.be

More about the six wives

– small pictures with links to much more information

https://tudorhistory.org/wives/

All on one page –

https://www.historyhit.com/the-6-wives-of-henry-viii-in-order/

Nice clear pictures on this one –

https://allthatsinteresting.com/henry-viiis-wives

 

Information for teachers/parents – with a word search and a matching activity

– aimed at teachers for KS2 children

http://www.englishcenter.dk/Files/Billeder/PDF/pdfoxford/Oxford Bookworms/newobwhenrysixwiveswork.pdf

 

 

Here is a word search of the six wives – you will know their names by now.

Choose the 20 by 20 grid.

The names are all written left to right or going downwards.

How To Play
  • Choose the size of the grid that you want to play.  The larger the grid the longer the words are that can be included and more words are likely to be included.
  • Look for the words. All the words can be read left to right and top to bottom.
  • Click or touch the first letter of the word and the last letter of the word.
  • The words will then be highlighted in different colours.
  • Find all the words and you will win the game.
BTW - if you have words in the grid that you were not expecting - click on the page title to refresh.  If you just have https://tutor-your-child.com showing then the words will be drawn from all of the wordsearches on the website.
Select Level:
{{ currentLevel.width }}x{{ currentLevel.height }}
{{cell.letter}}

 

I look forward to hearing from you if these resources useful or you have others to suggest.

 

Please leave comments below.  I do read them all.

A List of the Kings and Queens of England for Kids

A List of the Kings and Queens of England for Kids

Here we have a straight-forward list of the Kings and Queens of England for kids and then further information about some of these kings and queens below the list. If you have a favourite fact about someone please let me know in the comments.

I should just say that this list starts with Kings of Wessex/Kent, which was an Anglo-Saxon kingdom in the south of England, as it includes Alfred the Great who is often listed as the first king of England, even though there were other kings in other parts of the country.

Egbert                   771/775 – 839
Aethelwulf            839 – 858
Aethelbald            855–860   King of Wessex
Aethelberht          ‎ c. 589 – 616 AD     King of Kent and then Wessex
Aethelred I             865 to 871
Alfred the Great
Edward the Elder
Athelstan
Edmund the Magnificent
Eadred
Eadwig (Edwy) All-Fair
Edgar the Peaceable
Edward the Martyr
AEthelred II (Ethelred the Unready)
Edmund II (Ironside)
Svein Forkbeard
Cnut (Canute)
Harold I
Hardicnut
Edward (the Confessor)
Harold II
William I
William II
Henry I
Stephen
Empress Matilda (Queen Maud)
Henry II
Richard I
John
Henry III
Edward I
Edward II
Edward III
Richard II
Henry IV
Henry V
Henry VI
Edward IV
Edward V
Richard III
Henry VII
Henry VIII
Edward VI
Jane Grey
Mary I
Elizabeth I
James I
Charles I
Oliver Cromwell
Richard Cromwell
Charles II
James II
William III
Mary II
Anne
George I
George II
George III
George IV
William IV
Victoria
Edward VII
George V
Edward VIII
George VI
Elizabeth II

Horrible Histories Song

Horrible Histories did a song about all the Kings and Queens from William First (aka William the Conqueror!)

A poem written in the time of George V

– please let me know in the comments if you know who the author is.

William the Conqueror long did reign,
William, his son, by an arrow was slain;
Henry the First was a scholar bright;
Stephen was king without any right.
Henry the Second, Plantagenet’s scion;
Richard the First was as brave as a lion;
John, though a tyrant, the Charter signed;
Henry the Third had a weakly mind.
Edward the First conquered Cambria dales;
Edward the Second was born Prince of Wales;
Edward the Third humbled France in its pride;
Richard the Second in prison died.
Henry the Fourth for himself took the crown;
Henry the Fifth pulled the French king down;
Henry the Sixth lost his father’s gains.
Edward of York laid hold of the reins;
Edward the Fifth was killed with his brother;
Richard the Third soon made way for another.
Henry the Seventh was frugal of means;
Henry the Eighth had a great many queens.
Edward the Sixth reformation began;
Cruel Queen Mary prevented the plan.
Wise and profound were Elizabeth’s aims.
England and Scotland were joined by King James.
Charles found the people a cruel corrector;
Oliver Cromwell was called Lord Protector;
Charles the Second was hid in an oak,
James the Second took Popery’s yoke.
William and Mary were offered the throne,
Anne succeeded and reigned alone.
George the First from Hanover came;
George the Second kept up the name;
George the Third was loved in the land,
George the Fourth was pompous and grand,
William the Fourth had no heir of his own,
So Queen Victoria ascended the throne.
When good Queen Victoria’s long reign was o’er
Edward the Seventh the English crown wore;
George the Fifth rules the vast realm of England today
And “God Save the King!” all his subjects’ hearts say.

A Short Poem which is more up to date

(and can be sung to the tune of Good King Wenceslas)

Willie, Willie, Harry, Stee,
Harry, Dick, John, Harry three;
One, two, three Neds, Richard two
Harrys four, five, six… then who?
Edwards four, five, Dick the bad,
Harrys twain VII VIII and Ned the Lad;
Mary, Bessie, James the Vain,
Charlie, Charlie, James again…
William and Mary, Anna Gloria,
Four Georges I II III IV, William and Victoria;
Edward seven next, and then
George the fifth in 1910;
Ned the eighth soon abdicated
Then George the sixth was coronated;
After which Elizabeth
And that’s the end until her death.

The list again but with a few facts

Egbert               King of Wessex
Aethelwulf       – his children included both Alfred the Great and Æthelred I, King of Wessex,
Aethelbald       – the second of five sons of King Æthelwulf
Aethelberht     – King of Kent
Aethelred I
Alfred the Great  – known for burning cakes
Edward the Elder
Athelstan
Edmund the Magnificent
Eadred
Eadwig (Edwy) All-Fair
Edgar the Peaceable
Edward the Martyr
AEthelred II (Ethelred the Unready)
Edmund II (Ironside)
Svein Forkbeard
Cnut (Canute) – who thought he was powerful enough to stop the sea coming in!
Harold I
Hardicnut
Edward (the Confessor)
Harold II – who got an arrow in his eye
William I – aka William the Conqueror, he was the first Norman King
William II – his nickname was Rufus
Henry I
Stephen
Empress Matilda (Queen Maud)
Henry II
Richard I
John
Henry III
Edward I
Edward II
Edward III
Richard II
Henry IV
Henry V
Henry VI
Edward IV
Edward V
Richard III
Henry VII
Henry VIII – well known for havig eight wives and beheading two of them
Edward VI
Jane Grey – she was Queen for just 9 days after which she was sent to the Tower of London and later executed for treason by the supporters of Mary I.
Mary I
Elizabeth I
James I
Charles I
(Oliver Cromwell – Head of State but not a king)
(Richard Cromwell – Oliver Cromwell’s son and Head of State for less than one year.)
Charles II
James II
William III
Mary II
Anne – the first British monarch
George I – Queen Anne’s closest protestant cousin, there were more than 50 closer Catholic relatives , including her half-brother but Catholics were no longer allowered to be monarchs. During his reign we had our first proper Prime Minister Robert Walpole.  (Sir Robert Walpole was the longest serving among Prime Minister of the United Kingdom -20 years, 314 days.)

George II
George III – believed to be a bit mad
George IV
William IV
Victoria – had the longest reign until Elizabeth II overtook her.
Edward VII
George V
Edward VIII
George VI
Elizabeth II – our present Queen

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Hamleys

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