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Numeracy

Numeracy. Year 5 23 – 09 - 2014. Do Now. Match the following word to their figures:. (A) Four thousand and seventy-six (B) One thousand three hundred and twenty (C) Eight thousand one hundred and seventy-three (D) Seven thousand two hundred and ninety-one

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Numeracy

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  1. Numeracy Year 5 23 – 09 - 2014

  2. Do Now Match the following word to their figures: (A) Four thousand and seventy-six (B) One thousand three hundred and twenty (C) Eight thousand one hundred and seventy-three (D) Seven thousand two hundred and ninety-one (E) Seventy-two thousand nine hundred and one 7,291 1,320 72,901 4,076 8,173

  3. Do Now-Answers (A) Four thousand and seventy-six (B) One thousand three hundred and twenty (C) Eight thousand one hundred and seventy-three (D) Seven thousand two hundred and ninety-one (E) Seventy-two thousand nine hundred and one 4,076 1,320 8,173 7,291 72,901

  4. Starter Given these digits, 1 5 7 6 3 2 • What is the smallest 4-digit number you can form? • What is the largest 5-digit number you can form? Write the number in words. • What is the largest 5-digit number you can form with 3 in the hundreds? • What is the smallest 6-digit number you can form with 1 in the units of thousands? • What is the largest 6-digit number you can form that is less than 600,000?

  5. Numbers and Numerationlevel 4c/b/a Oduwole O. K. September, 2014

  6. Objectives: • To know how to create 6-digit numbers in words and figures. (level 4c) • To understand how to read and write 6/7-digit numbers in words. (level 4b) • To be able to write 6/7-digit numbers in figures. (level 4a)

  7. Key Words • Numbers • Place Value • Value • Digit • Figures • Number Periods • Thousands • Units • Millions

  8. Uses of Numbers in Everyday life • Money • Business • Shopping • Economy • Politics • Engineering • What others do you know?

  9. Success Criteria

  10. What’s My Number? • My number has five digits. The thousands digit is the number of days in a week. The tens digit is the fingers on your hand. The units digit is half of 12. The hundreds digit is the first number you dial when you need to call a fire engine, an ambulance or the police. The ten thousands digit is 1 + 2 + 3 + 6 – 7. What’s my number? • My number has five digits. The ten thousands digit is the same as the hundreds digit, and it is an odd number which can be divided by 3 to make 3. The thousands digit is bigger than 8. The units digit is the first number of today’s date. The tens digit is smaller than 1. What’s my number?

  11. Place Value What do you understand By Place Value? Can you explain the ideas behind Place Value? Whyis it so important?

  12. P L A C E V A L U E OF N U M B E R S • The place value of numbers can help us read and find value for the digits in a number. Each digit in a number has a place value that tells you how much that digit is worth. Each place value is ten times as large as the next place value to the right. • Note: - a Place Value Period has three places - the ones (1's) - the tens (10's) - and the hundreds (100's). - there is more than one Place Value Period. • The first Place Value Period is the ONES or UNITS Place Value Period, followed by the THOUSANDS Place Value Period, MILLIONS Place Value Period, BILLIONS Place Value Period and so on

  13. Numbers are arranged into three place values called PERIODSThe places in the period repeat (hundreds, tens, ones.)Spaces or commas are used to separate periods.

  14. 015 3 92 6 874 All numbers are made from DIGITS. The digits are: Each DIGIT in its right place gives a number its VALUE. Numbers can be written in 2 ways – FIGURES or WORDS. FIGURES use 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 We use commas or space to separate them. Examples include 34, 1063, 0.75, -25 WORDS use letters, and usually take longer to write. Examples include twelve, seventy-one, one million.

  15. Can you read/write this number in words? Read and write numbers in words 5 847609

  16. To say a number correctly, imagine it is a place value table like this one. Remember, Each position determines what each digit is WORTH!

  17. Step 1: Group the digits in each number in 3s to put them in their NUMBER PERIODS. This helps us to read them correctly. E.g. Name of each place (position) M HTh TTh Th H T U 5, 8 4 7, 6 0 9 The number periods (group) Units Thousands Millions

  18. Step 2: Read/write all the digits in each PERIOD and then put the name before moving to the next period. E.g. Fivemillion Eight hundred and forty-seven thousand Six hundred and nine Name of each place (position) M HTh TTh Th H T U 5, 8 4 7, 6 0 9 The number periods (group) Now read all together aloud:five million, eight hundred and forty-seven thousand, six hundred and nine. Units Thousands Millions

  19. Now Try These: • A new house costs £5,638. Write the word name for this number. • A man owes £ 2,562 on a car. Write the word name for this. • The construction of a new athletic center cost £ 3,456,390. Write the word name for this number.

  20. How About Writing from Words to Figures? One million seven- hundred and thirty-two thousand two hundred and ninety-one

  21. Step 1: Separate the number into place value periods One million / seven- hundred and thirty-two thousand / two hundred and ninety-one

  22. Step 2: write the digits in each period separated by a comma (or space) • 1, 732, 291 OR • 1 732 291

  23. Can you try these…? • One hundred and Forty-seven thousand, five hundred eighty-six blueberries are produced on a farm over the course of three years. Write this number in standard form. • A company had a new office building constructed. The final cost was four million, three hundred sixty-two dollars. Write this number in standard form

  24. Place Value

  25. Lets try this 1 4 6 How do you know the value of this number? Saying it out loud one hundred and forty six gives a clue. H T U 1 4 6 40 6 100 Each digit has a place. Each place has a value.

  26. Another way of showing Place Value is to use an abacus 1 1 10 1 10 1 10 1 10 1 100 U H T 146 One hundred and forty six

  27. Lets try a bigger number. 1 1 100 10 1 10 1000 100 1 100 10 1000 1 U Th H T 2 335 Two thousand three hundred and thirty five.

  28. Write the number in expanded form What is the value of each digit in the number? 2 3 0 4 7 6

  29. 2 3 0 4 7 6 HTh TTh Th H T U

  30. We can also build numbers using an abacus. 230 476 = 2 3 0 4 7 6 M H Th T Th Th H T U 2 hundred thousand + 3 ten thousand + 0 thousand + 4 hundred + 7 tens + 6 units In expanded form = 200 000 + 30 000 + 0 + 400 + 70 + 6

  31. 230 476 = • 2 hundred thousand or 200 000 3 ten thousand or 30 000 0 thousand or 0 4 hundred or 400 7 tens or 70 6 units or 6 • In expanded form = 200 000 + 30 000 + 0 + 400 + 70 + 6

  32. Can you try these…? • During the week, Mike drives a total of 264,812 miles. Write 264,812 in expanded form. • The development of a city over the past one year costs £962,234. What is the value of the digit 6 in this number?

  33. Welcome Charlie the Crocodile Charlie the Crocodile LOVES eating numbers….

  34. However, Charlie is a very fussy eater… …….He only ever eats the biggest number he can see 84 23 51 96 10 77

  35. how can we show this Mathematically??? 5 024 2 186 5024 2186

  36. Charlie’s past meals 253 432 905 528 Put the sign in the boxes to show which one Charlie would go for. 3 250 4102 2 031 2301

  37. Success Criteria

  38. CONGRATULATIONS!

  39. AFL TIME Create, read and write 6-digit numbers in words and figures. (level 4c) Know what each digit of a 6-digit number represents.(level 4b) Count and order numbers up to 1 million (level 4a)

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