English – Learn how to write a letter.

https://www.bbc.co.uk/bitesize/articles/z6hvgwx

When writing a formal letter there’s a few key things to remember. The list below will help you get started!

Key features of a formal thank you letter

Layout – including address and date

• Your address should be written in the top-right corner of the page.
• The date should be written below your address.
• Below the date on the left hand side of the page, write the recipients address.

2. Who are you writing to?

• If you do know the person; use their name, eg Dear Ms M Coles.
• If you don’t know the person/people then use Dear Sir/Madam.
• Remember, add a comma after their name.

3. Beginning the letter

Your opening sentence should get to the point and clearly state why you are writing:

• I am writing to say thank you for …
• I write to share my gratitude for…

4. Tone (the way the letter sounds)

• The aim is to sound businesslike whilst also being warm and friendly.
• Avoid using too much language that seems casual or chatty.

5. Paragraphs

• Include all the relevant details of why you are thankful.
• Make sure that each point you make has a separate paragraph.

6. Closing statement

• Restate the main point of your letter.
• Make sure that you provide an action for the reader, eg keep smiling and take care.

7. Ending your letter

• Use yours sincerely if you do know the person.

• Use yours faithfully if you don’t know the person.

Top tip!

Remember, checking your work and redrafting is part of the writing process. Don’t be afraid to make mistakes!

Super challenge

Think back to the other lessons from this week. In your letter, try to include:

• similes and metaphors

• modal verbs

• adjectives

• clear paragraphs

Maths – Learn all about subtracting two mixed numbers.

https://www.bbc.co.uk/bitesize/articles/zhs9d6f

Multiply the numerator and denominator by 3.

Step 3: Subtract the numerators now.

⁶/₉ – ²/₉ = ⁴/₉

Step 4: Now you have to add the two answers from the whole numbers and fractions together so that they become a mixed number again.

3 + ⁴/₉ = 3 ⁴/₉

Here’s a checklist to remind you of the steps for this method:

• Partition and subtract whole numbers
• Check and change denominators
• Subtract the numerators
• Whole numbers answer + fractions answer = final answer!

Method 2

This method requires you to change the mixed numbers into improper fractions.

Remember, an improper fraction is a fraction where the numerator is greater than the denominator like ⁹/₅

2 ¹⁄₅ – 1 ⁵/₂₅

Step 1: Change the fractions so that they have the same denominator.

Divide the numerator and denominator by 5.

Step 2: Convert the mixed numbers into improper fractions.

2 ¹⁄₅ – 1 ¹⁄₅ =

¹¹⁄₅ – ⁶/₅ =

Reminder:

• Multiply the integer (whole number) by the denominator.
• Add that to the numerator.
• Write the answer on top of the original denominator.

Step 3: Subtract the numerators.

⁵/₅ is one whole so can be written as 1.

Another example of when Method 2 might prove useful is this sum:

3 ¹⁄₉ – 1 ⁴⁄₉

⁴⁄₉ is larger than ¹⁄₉ therefore we can’t partition in the same way as Method 1 and it is harder to solve mentally as involves exchange.

As the denominators are the same we can move straight to Step 2 and convert the mixed numbers into improper fractions.

3 ¹⁄₉ = ²⁸/₉
1 ⁴⁄₉ = ¹³/₉

Step 3: Subtract the numerators.

²⁸/₉ – ¹³/₉ = ¹⁵/₉ = 1 ⁶/₉