Week 3 Number: Understand, use and calculate

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Presentation transcript:

Week 3 Number: Understand, use and calculate Functional MATHS Week 3 Number: Understand, use and calculate

Can you answer all 10 questions on this week’s number? To warm up……. Can you answer all 10 questions on this week’s number?

Starter What would you rather have …… 1) a million pounds or 2) a penny doubled every day for the whole of September? Explain your answer….

I’d rather double a penny! September 1st £0.01 11th £10.24 21st £10,485.76 2nd £0.02 12th £20.48 22nd £20,971.52 3rd £0.04 13th £40.96 23rd £41,943.04 4th £0.08 14th £81.92 24th £83,886.08 5th £0.16 15th £163.84 25th £167,772.16 6th £0.32 16th £327.68 26th £335,544.32 7th £0.64 17th £655.36 27th £671,088.64 8th £1.28 18th £1310.72 28th £1,342,177.28 9th £2.56 19th £2621.44 29th £2,684,354.56 10th £5.12 20th £5242.88 30th £5,368,709.12

Have you done your

Homework: please get this out ready to mark…

Homework Answers: Entry Level

Homework Answers: Level 1

Homework Answers: Level 2

Today’s plan: Understand, use and calculate using number Calculate using +, -, x and Rounding Negative numbers Part 2 of your diagnostic (Measure, shape and space section)

Feedback form

Understand and use very large numbers Give me a number….let’s look at the place value

Can you say the figures in words? Here are some annual salaries. Write them in order from largest to smallest. £25,740,030 £51,931,640 £40,100,000 £51,750,000 £34,621,093 £9,600,000 £149,440 £143,789 £25,216,800 £27,847,401 £0 £43,500,000 Can you say the figures in words?

Who am I? Write down the name of the celebrity on the amount of money you think they earn in a year. Good luck! (Source: www.wageindicator.co.uk)

Who am I? How much money do I earn per year? Usain Bolt (Olympic runner)

Who am I? How much money do I earn per year? Theresa May (Prime Minister)

Who am I? How much money do I earn per year? Boris Johnson (Foreign Secretary)

Who am I? How much money do I earn per year? Lewis Hamilton (Formula One)

Who am I? How much money do I earn per year? Adele (Singer)

Who am I? How much money do I earn per year? Jeremy Clarkson (TV Presenter)

Who am I? How much money do I earn per year? Daniel Radcliffe (Actor)

Who am I? How much money do I earn per year? Pope Francis

Who am I? How much money do I earn per year? Queen Elizabeth II

Who am I? How much money do I earn per year? Jose Mourinho (Football Manager)

Who am I? How much money do I earn per year? Ed Sheeran (Singer)

Who am I? How much money do I earn per year? Simon Cowell Reality TV judge and producer

The wealthiest is…. correct them as you go

The wealthiest is…. £51,931,640

Next wealthiest is…. £51,750,000

Next wealthiest is…. £43,500,000

Next wealthiest is…. £40,100,000

Next wealthiest is…. £34,621,093

The celebrity that earns the most is….. £27,847,401

Next wealthiest is…. £25,740,030

Next wealthiest is…. £25,216,800

Next wealthiest is…. £9,600,000

Next wealthiest is…. £149,440

Next wealthiest is…. £143,789

And the least wealthy is…. £0

The order should look like this: Adele £51,931,640 Daniel Radcliffe £51,750,000 Simon Cowell £43,500,00 The Queen £40,100,000 Lewis Hamilton £34,621,093 Ed Sheeran £27,847,401 Usain Bolt £25,740,030 Jose Mourinho £25,216,800 Jeremy Clarkson £9,600,000 Theresa May £149,440 Boris Johnson £143,789 The Pope £0

Addition and Subtraction problems Sum Total Add Plus Increase Subtract Take Away Minus Less Decrease

Addition and subtraction problems Aimed at Entry level

Addition and subtraction problems Aimed at Level 1

Addition and subtraction problems Aimed at Level 2

Multiplication and division problems Aimed at Entry

Multiplication and division problems Aimed at Level 1

Multiplication and division problems Aimed at Level 2

Rounding Nearest 10, 100, 1000

DISCUSS!!! What is ROUNDING? What do we mean by ‘round up’ and ‘round down’? Can you think of some examples of when you have seen rounding before?

We do not need to know the exact number for everything. Why do we use rounding? THINK! We do not need to know the exact number for everything. Can you think of any other examples of numbers from everyday that have probably been rounded? Why not just 7 billion… There are exactly 6,970,442,289 people on planet Earth Teacher Notes: Class discussion – pupils may have more ideas but key point here is that rounded values are easier to work with in practical contexts.

What sorts of things do we round? Teacher Notes: The globe with the people represents population. This slide can be used as a brainstorming activity, using the triggers after students have come up with their own ideas.

50 40 43 Rounding to the nearest 10 43 is closer to 40 than to 50. Teacher Notes: Discuss rounding UP and DOWN as rounding to the ten, hundred or thousand closest to the original number. Language of ROUNDING DOWN can be confusing – what does this actually mean? Which two TENS does the number 43 lie between? Where would you place 43 on the washing line? So, 43 rounded to the nearest 10 is 40.

Rounding to the nearest 10 190 180 186 186 is closer to 190 than to 180. Teacher Notes: Even though our number now includes place value column of HUNDREDS, we are only rounding to nearest TEN. Which two TENS does the number 186 lie between? Where would you place 186 on the washing line? So, 186 rounded to the nearest 10 is 190.

But the rule is… 5 or more, round up Rounding to the nearest 10 20 10 15 15 is exactly halfway! But the rule is… 5 or more, round up Teacher Notes: Discuss convention of rounding – even though 5 represents half-way, we round UP. Which two TENS does the number 15 lie between? Where would you place 15 on the washing line? So, 15 rounded to the nearest 10 is 20.

APPLY 81 Round

APPLY 75 Round

APPLY 51 Round

APPLY 23 Round Use this slide to discuss the fact that 23 to the nearest 100 is 0!

APPLY 97 Round Use this slide to discuss the fact that 97 to the nearest 10 is 100.

APPLY 412 Round

APPLY 673 Round

APPLY 845 Round

APPLY 312 Round

APPLY 755 Round

Which of these numbers round to 60 to the nearest 10? ANALYSE Which of these numbers round to 60 to the nearest 10? 157, 56, 61, 66, 55

Which of these numbers round to 90 to the nearest 10? ANALYSE Which of these numbers round to 90 to the nearest 10? 98, 92, 87, 84, 95

Rounding to the nearest 100 700 600 629 629 is closer to 600 than to 700. Which two HUNDREDS does the number 629 lie between? Where would you place 629 on the washing line? So, 629 rounded to the nearest 100 is 600.

9000 8000 8711 Rounding to the nearest 1000 8711 is closer to 9000 than to 8000. Which two THOUSANDS does the number 8711 lie between? Where would you place 8711 on the washing line? So, 8711 rounded to the nearest 1000 is 9000.

Split your scrap paper into three columns. nearest 1000 nearest 100 nearest 10 Split your scrap paper into three columns. Round each number to… Nearest 10 Nearest 100 Nearest 1000 APPLY

nearest 1000 nearest 100 nearest 10

APPLY 342 Round

APPLY 864 Round

APPLY 192 Round

APPLY 196 Round Use this slide to discuss the fact that 196 to the nearest 10 is 200.

APPLY 107 Round

APPLY Round 4629

APPLY Round 1811

APPLY Round 3815

APPLY Round 7489

APPLY Round 9615 Use this slide to discuss the fact that 9615 to the nearest 1000 is 10 000.

Positive and negative numbers

Positive and negative numbers

Positive and negative numbers The Number Line

Positive and negative numbers

Positive and negative numbers Look at the number line on the wall if you want a clue!

Positive and negative numbers Extension Questions… What is the highest / lowest temperature? What is 100C cooler than 30C? It is -150C in Moscow (Russia) and 230C in Florida. What is the difference in temperatures?

Diagnostic Please complete the second part of the diagnostic (Measure, shape and space section) You will have 30 minutes to complete as much as you can

Homework Please complete and hand this to me next week – we will go over the answers at the start of the lesson!