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Maths - Percentages

Learn

 

Percentages in everyday life

We see percentages everywhere:

  • in shops to promote sales, such as '30% off clothing'.
  • banks use them to show interest rates on bank accounts
  • even on chocolate bars, for example 'contains 80% cocoa'.

There are a number of different methods to find a percentage of an amount that we can use.

Jumper with a label showing 30% off

Method 1

Some percentages can be converted into an equivalent fraction in its lowest form.

For example:

Percentage Fraction
25% ¼
50% ½
75% ¾
20%

When you know what the equivalent fraction is, you then just find the fraction of the amount using this 'top tip'...

"Divide by the bottom and times by the top!"

Now let's look at an example using a bar model.

What is 75% of 120?

 

Method 2

Partitioning the percentage can sometimes be the most efficient way to find the answer. Then you just add up the separate answers

For example:

What is 41% of 500?

Step 1: Partition 41% into 40% and 1%.

Step 2: Find 40% of 500.

To find 40%, find 10% first by dividing by 10, and then multiply it by 4.

500 ÷ 10 = 50

50 x 4 = 200

Step 3: Find 1% of 500.

To find 1%, you need to divide by 100.

500 ÷ 100 = 5

Step 4: Add the two answers together.

200 + 5 = 205

So 41% of 500 = 205

Method 3

Percentages mean 'out of 100'. So as a fraction, the percentage would become the numerator and the denominator would be 100. This method relies on turning the percentage into a fraction again, but not in its simplest form.

For example:

What is 17% of 70?

Step 1: Convert 17% into a fraction.

17% = ¹⁷⁄₁₀₀

Step 2: Find ¹⁷⁄₁₀₀ of 70.

70 ÷ 100 = 0.7

0.7 x 17 = 11.9

So 17% of 70 = 11.9

 

Activity 1

 

 

Worksheet 1

 

Activity 2

 

 

Worksheet 2

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English - Junior Shakespeare

Learn

William Shakespeare grew up in the town of Stratford-upon-Avon in Warwickshire. His family were rich so he went to a good school and grew up to be a playwright. He wrote different types of plays – histories, tragedies and comedies.

Today we watch stories through TV, computers or on phones. But 450 years ago, people could only watch stories acted in front of them on the streets or in theatres.

People loved watching plays. They were as popular then as TV shows are now and some of the actors became just as famous.

One of these actors was William Shakespeare.

He's still famous today. Not for acting but because he was, and still is, one of the best known writers in the English language.

Shakespeare was born in Stratford-upon-Avon, England. He went to school there and learned Latin and Greek. He got married at 18 and had children.

Shakespeare moved to London, and became a rather famous actor there.

He also wrote plays which everyone, rich and poor, even royalty, paid to watch.

Soon Shakespeare was rich enough to help build a new theatre, called ‘The Globe’.

Shakespeare wrote many different types of plays. Sad tragedies like Romeo and Juliet, funny comedies like A Midsummer Night's Dream and important histories about kings like Henry V.

They were fun, scary, exciting and serious!

He also wrote poetry and invented new words like 'eyeball' and 'bedroom'. He truly changed the way we speak English!

William Shakespeare lived over 450 years ago, but his name, plays and poetry are still known all over the world today.

Students learn about him at school and at university. People come from many countries to see where he lived and his plays are just as popular now as when they were first performed all those years ago!

One of Shakespeare's most famous comedies is a play called The Tempest. A tempest is a fierce storm. Watch the video below and read the plot summary underneath to learn more about the story.

A summary of The Tempest

In the past Prospero, the rightful Duke of Milan, and his infant daughter Miranda were abandoned at sea because his wicked brother, Antonio, seized power.

Prospero and Miranda survived as they landed on a remote island. Here they lived alone, apart from the spirit Ariel and the beast Caliban, who were Prospero’s servants.

Prospero has magic powers. He decides to use them to raise a storm and trap his enemies on the island with him. The storm causes Antonio’s ship to be destroyed. The shipwreck victims wash up in different places on the island. One of those shipwrecked is Ferdinand, the Prince of Naples.

Ferdinand and Miranda fall in love as soon as they set eyes on each other. They then become engaged.

Later, the other shipwreck victims, including evil Antonio, find Prospero. Prospero confronts his enemies and forgives them because of the love between his daughter and Ferdinand.

He gives up his magic powers and makes plans to set sail for home to take up his rightful position as Duke. Before he does so he frees Ariel and only the evil beast Caliban is left behind.

 

Activity 1 

 

 

Can you decide which of these statements about William Shakespeare are true or false? One has been done for you.

Shakespeare sentence activity.

 

Activity 2 

 

 

Imagine you are Miranda or Ferdinand. You are shipwrecked on the island and feel lonely.

Write a message in a bottle to your friends back home. You might include:

  • What has happened.
  • How you feel.
  • How your friends can help.
  • Other thoughts and feelings.

Top tip!

Remember! You can always go back and watch the video again OR read the summary of the play if you need help.

 

Activity 3

 

 

Please do the first 3 pages of this activity only

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As usual, please send your completed work to: pflood@sfdprimary.co.uk