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WHOLE NUMBERS

WHOLE NUMBERS. Key Words. Standard Form. Compensation. Compatible Numbers. Expanded Form. Place Value. Front – End Rounding. Numbers to 100 000. Student Outcome : I can describe numbers to 100 000 . ten. one. thousand. hundred. Place Value

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WHOLE NUMBERS

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  1. WHOLE NUMBERS

  2. Key Words Standard Form Compensation Compatible Numbers Expanded Form Place Value Front – End Rounding

  3. Numbers to 100 000 Student Outcome: I can describe numbers to 100 000 ten one thousand hundred Place Value In the base ten number system, each place has ten times the value of the place to its right.

  4. Numbers to 100 000 Student Outcome: I can describe numbers to 100 000 Describe using words or drawing blocks the following numbers: 54 376 9025

  5. Numbers to 100 000 Student Outcome: I can describe numbers to 100 000 Describe using words or drawing blocks the following numbers: 54 376 9025

  6. Numbers to 100 000 Student Outcome: I can describe numbers to 100 000 Learn Alberta Site – Type in a number and it will display using blocks. http://www.learnalberta.ca/content/memg/index.html?term=Division02/Place_Value/index.html

  7. Numbers to 100 000 Student Outcome: I can describe numbers to 100 000 • More on Place Value • Large whole numbers are arranged in groups of threes called periods. Each period has a hundred(s), ten(s) and one(s) position. • See the number 123 456 789 below as an example. The 8 is in the tens position, the 5 is in the ten-thousands position.

  8. Challenge Information Student Outcome: I can describe numbers less than 0 Decimal numbers are also arranged in groups of threes called periods. Each period has a ten(th), hundred(th) and thousand(th) position. See the number 0.123 456 789 below as an example. The 2 is in the hundredths position, the 5 is in the hundred-millionths position.

  9. Numbers to 100 000 Student Outcome: I can describe numbers to 100 000 Site showing place values and intro to standard form. http://www.beaconlearningcenter.com/weblessons/ThereMustBeThousands/default.htm

  10. Numbers to 100 000 Student Outcome: I can describe numbers to 100 000 Textbook Practice Page 38 #2, 3, 4, 5, 7

  11. Numbers to 100 000 Student Outcome: I can describe numbers to 100 000 AIM for 100 000

  12. Exploring One Million Student Outcome: I can describe numbers to 1 000 000

  13. Exploring One Million Student Outcome: I can describe numbers to 1 000 000 Explain the following: 1 000 000 = 1000 thousands $1 000 000 = ten thousand $100 bills 1 000 000 min is about 2 years 1 000 000 € (cents) = $10 000

  14. Exploring One Million Student Outcome: I can describe numbers to 1 000 000 Textbook Practice Page 41 #1,2,3 Page 42 #5,6,7

  15. Representing Numbers Student Outcome: I can describe whole numbers in different ways Place the digit in the proper place value cell to complete the number. 652 89 045 789 433

  16. Representing Numbers Student Outcome: I can describe whole numbers in different ways Standard Form Shows the written number 3 864 Expanded Form Shows a number as a sum of the values of its digits (3x1000) + (8x100) + (6x10) + (4x1)

  17. Representing Numbers Student Outcome: I can describe whole numbers in different ways Show these numbers using expanded form 652 89 045 789 433

  18. Representing Numbers Student Outcome: I can describe whole numbers in different ways Example In the number 1 329: the one is in the thousands position the three is in the hundreds position the two is in the tens position the nine is in the ones position.

  19. Representing Numbers Student Outcome: I can describe whole numbers in different ways Place Value Calculator http://www.crickweb.co.uk/assets/resources/flash.php?&file=Toolkit%20index2a Learn Alberta Interactive Block and expanded form site http://www.learnalberta.ca/content/memg/index.html?term=Division02/Place_Value/index.html

  20. Representing Numbers Student Outcome: I can describe whole numbers in different ways Textbook Practice Page 45 # 3,6,7 Page 46 # 8,10,12,13 Page 47 #14

  21. Estimating Sums Student Outcome: I can use different ways to estimate when adding How can you find the answer to 459 + 201 = Front – End Rounding Using the first digit from each number to get an estimate Compatible Numbers Using multiples of 10, 100.. to make a number easier to add Compensation Rounding a number up then the next number down

  22. Estimating Sums Student Outcome: I can use different ways to estimate when adding Front – End Rounding Using the first digit from each number to get an estimate Examples: 465 + 301 + 198 = 400 + 300 + 100 = 800 (first digit in each number) 23 056 + 42 982 = 20 000 + 40 000 = 60 000 72 x 23 = 70 x 20 = 1400 356 + 887 =

  23. Estimating Sums Student Outcome: I can use different ways to estimate when adding Compatible Numbers Using multiples of 10,100 to make a number easier to add Examples: 11 090 + 10 651 = 11 100 + 10 650 = 21 750 (multiples of 10) 27 x 41 = 30 x 40 = 1 200 (multiples of 10) 10 320 + 9 997 + 8 465 = 10 300 + 10 000 + 8 500 = 28 000 (multiples of 100) 67 + 43 + 39 =

  24. Estimating Sums Student Outcome: I can use different ways to estimate when adding Compensation Rounding a number up then the next down Example: 11 090 + 10 651 + 10 320 + 9 956 = 11 000 + 11 000 + 10 000 + 10 000 = 40 0000 (down) (up) (down) (up) 476 + 2389 + 56 + 589 = 59 + 126 + 17 =

  25. Estimating Sums Student Outcome: I can use different ways to estimate when adding Math Live – Front-end Rounding – Compatible Numbers http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=23

  26. Estimating Sums Student Outcome: I can use different ways to estimate when adding Textbook Practice Page 51 #1,4a,b,7,8 Page 52 #10,11,12

  27. Using Benchmarks to Estimate Student Outcome: I can use benchmarks of 10’s, 100’s, 1000’s, 10 000’s Benchmark Definition A benchmark is something (for example a number) that serves as a reference to which something else (another number) may be compared. The most common use for benchmarks is in estimation. Example: Is 258 closer to 250 or 260? Is 258 closer to 200 or 300? Is 46 380 closer to 46 300 or 46 400? Is 46 380 closer to 46 000 or 47 000?

  28. Using Benchmarks to Estimate Student Outcome: I can use benchmarks of 10’s, 100’s, 1000’s, 10 000’s Medicine Hat’s Population 2009 61,097 What kind of benchmark would you use to describe Medicine Hat’s Population? Medicine Hat’s Population for the year 2009 is ……………..?

  29. Using Benchmarks to Estimate Student Outcome: I can use benchmarks of 10’s, 100’s, 1000’s, 10 000’s Benchmarks - percent http://www.learnalberta.ca/content/memg/index.html?term=Division02/Benchmark/index.html

  30. Using Benchmarks to Estimate Student Outcome: I can use benchmarks of 10’s, 100’s, 1000’s, 10 000’s Textbook Practice Page 55 #1, 2, 3a,b, 4a,b, 5a,b Page 56 #6, 9, 11

  31. Estimating Differences Student Outcome: I can use different ways to estimate when subtracting How can you find the answer to 3 818 - 2 079 = Front – End Rounding Using the first digit from each number to get an estimate Compatible Numbers Using multiples of 10, 100.. to make a number easier to add Compensation Rounding a number up then the next number down

  32. Estimating Differences Student Outcome: I can use different ways to estimate when subtracting How can you find the answer to 3 818 - 2 079 = Front – End Rounding Using the first digit from each number to get an estimate 3 000 - 2 000 = 1 000 OR Look at the last 3 digits of each number (to be more accurate) 3 818 800 = 3 800 2 079 100 = 2 100 3 800 - 2 100 = 1 700

  33. Estimating Differences Student Outcome: I can use different ways to estimate when subtracting How can you find the answer to 3 818 - 2 079 = Compatible Numbers Using multiples of 10, 100.. to make a number easier to add 3 818 = 3 800 2 079 = 2 100 3 800 – 2 100 = 2 700 OR to be more accurate 3 818 = 3 820 2 079 = 2 080 3 820 – 2 080 = 1740

  34. Estimating Differences Student Outcome: I can use estimation strategies to subtract Textbook Practice Page 58 #1ab,2ab,3ab,4 Page 59 #5,6,7

  35. Using Estimation to Check Answers Student Outcome: I can use estimation to check my work Mr. Bosch earned $34.00, $120.00 and $210.00. About how much did he earn? What strategies can you use to solve this answer?

  36. Using Estimation to Check Answers Student Outcome: I can use estimation to check my work Practice Page 62 #1cd,2cd,5,7 Page 63 #9,10,13

  37. Strategies Toolkit Student Outcome: I can understand a problem and pick a way to solve it Practice Page 65 #1,2

  38. Show What You Know Student Outcome: I will solve questions using ways I learned in unit 2 Textbook Page 66 #2, 3a,b, 4a,b, 5a,b, 6, 7a,b, 8 Page 67 #9, 10, 12, 13

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