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What are different ways you can add?

What are different ways you can add?. Solve the following: 34 + 5060 + 416 = 810 + 14078 + 9872 + 20 =. What is the difference or similarities when adding whole numbers and decimals?. Solve the following: 34 + 5060 + 416 = 810 + 14078 + 9872 + 20 =.

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What are different ways you can add?

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  1. What are different ways you can add? • Solve the following: • 34 + 5060 + 416 = • 810 + 14078 + 9872 + 20 =

  2. What is the difference or similarities when adding whole numbers and decimals? • Solve the following: • 34 + 5060 + 416 = • 810 + 14078 + 9872 + 20 =

  3. What is the difference or similarities when adding whole numbers and decimals? • 34 + 5060 + 416 = • 34.56 + 5060.09 + 416.876 • 810 + 14078 + 9872 + 20 = • 810 + 14078.45+ 9872.1 + 20.09 =

  4. Place Value • The place value chart below shows 1247.63 • The number 1248.63 is one more than 1247.63 • The number 1147.63 is one hundred less than 1247.63 • The number 1247.83 is two tenths more than 1247.63

  5. Review • Where is the decimal place? • 34 • $5698 • 508 • 67.89 HIDDEN DECIMAL

  6. Review • Arrange each set of numbers from greatest to least! What strategy did you use? • A) 1.8, 2.8, 1.9 • B) 365.7, 358, 365.9

  7. Review – Learn Alberta Place Values http://www.learnalberta.ca/content/memg/index.html?term=Division02/Place_Value/index.html

  8. Review – Adding and Subtracting Decimals What do you need to do? • Line up the decimals • Add zeros into place values that are empty (if you wish) • Ex: 12.3 + 2. 4 = 12.3 12.3 + 2.4 + 02.4 14.7 14.7

  9. Review – Adding and Subtracting Decimals What do you need to do? • Line up the decimals • Add zeros into place values that are empty (if you wish) • Ex: 187.415 + 34.6 = 187.415 187.415 + 34.6 + 034.600

  10. 2.1 Add and Subtract DecimalsStudent Outcome: I can use different strategies to estimate decimals. • Pg 44 Vocabulary: • Estimate: • to approximate an answer • Overestimate: • Estimate that is larger than the actual answer • Underestimate: • Estimate that is smaller than the actual answer

  11. Front-End Estimation Student Outcome: I can use different strategies to estimate decimals. Front End Estimation: keep the leading (front) digit and then add zeros behind Example #1 • 87.85 + 14.60 + 273.52 = 375.97 • 80.00 + 10.00 + 200.00 = 290.00 Using front-end estimation: 290 is an ok estimation

  12. Show me what you know? • Can you work at wal mart? • I will show you 6 items. You will write down the item actual cost and then estimate your bill total • http://medicinehat.flyerland.ca/walmart/46 - wal mart link

  13. Front-End Estimation Student Outcome: I can use different strategies to estimate decimals. Front End Estimation: keep the leading (front) digit and then add zeros behind Example #2 • 537.85 - 174.60 = 363.25 • 500.00 - 100.00 = 400.00 Using front-end estimation: 400 is a good estimation

  14. Front-End Estimation Student Outcome: I can use different strategies to estimate decimals. Front End Estimation: keep the leading (front) digit and then add zeros behind Example #3 49.45 + 239.99 + 87.06 = 376.50 ____ + _____ + ____ = _______ Example #4 708 – 45.89 = 662.11 ___ - ____ = _________

  15. Relative SizeStudent Outcome: I can use different strategies to estimate decimals. Use Relative Size: • Estimating each number to the nearest ten, hundred, thousand etc. Example #1 • 87.85 + 14.60 + 73.52 = 175.97 • 87.85 is between 80 and 90, and closer to 90.00 • 14.60 is between 10 and 20, and closer to 10.00 • 73.52 is between 70 and 80, and closer to 70.00 90.00 + 10.00 + 70.00 = 170.00 Using relative size: 170.00 is a good estimation

  16. Relative SizeStudent Outcome: I can use different strategies to estimate decimals. Use Relative Size: • Estimating each number to the nearest ten, hundred, thousand etc. Example #2 39.01 + 62.77 = 101.78 ____ + ____ = ________ Example #3 567.28 – 21.99 + 38.34 = 583.63 _____ - ____ + _____ = _______

  17. CompensationStudent Outcome: I can use different strategies to estimate decimals. Use Compensation: (try to round up - round down) • Estimating each number to the nearest ten, hundred, thousand etc. Example #1 • 87.85 + 14.60 + 73.52 = 175.97 • 87.85 is closer to 90.00 (round up) • 14.60 is closer to 10.00 (round down) • 73.52 is closer to 70.00 (round down) 90.00 + 10.00 + 70.00 = 170.00 Using compensation: 170 is a good estimation

  18. Compensation Student Outcome: I can use different strategies to estimate decimals. Use Compensation: (try to round up - round down) • Estimating each number to the nearest ten, hundred, thousand etc. Example #2 12.45 + 71.12 – 19.43 = 64.14 ____ + ____ - ____ = ____ Example #3 567.89 – 123.00 = 444.89 _____ - _____ = _____

  19. Compatible (Friendly) Numbers Student Outcome: I can use different strategies to estimate decimals. Use Compatible numbers: (5’s, 10’s 50’s 100’s 1000’s) Example #1 • 87.85 + 14.60 + 73.52 = 175.97 • 87.85 is closer to 90 or 85 • 14.60 is closer to 10 or 15 • 73.52 is closer to 70 or 75 • Two possible answers, but still others 90+10+70 = 170 or 85+15+75 = 175

  20. Try It On Your Own! • Rewrite each question using front-end estimation. • A) 45 + 33 + 92 = 170 ____ + ____ + ____ = ____ • B) $475.12 - $210.38 = $264.74 _________ - ________ = ________ Is your estimate higher or lower than the calculated answer? _____________

  21. Try It On Your Own! • Use any strategy to estimate the answers. • A) 45 + 33 + 92 = 170 ____ + ____ + ____ = ____ ____ + ____ + ____ = ____ • B) $475.12 - $210.38 = $264.74 ________ - ______ = _______ ________ - ______ = _______

  22. Try It On Your Own! • Using estimation, where would you put the decimal point in the answer? Why? • A) 631.5 + 902.4 + 217.83 = 175173 ______ + ______+ ______ = _______ • B) $475.12 - $210.38= $26474 _______ - _______ = _______

  23. Try These On Your Own! • For Homework Due Tomorrow! • Pg 48. #4, 7, 8ac, 10ac, 14, 20, 21 • Extend 22, 24, 25 • Page 2.1 worksheet

  24. Assignment – Let’s go shopping Student’s will receive their handout to select their items and money to purchase merchandise. $500.00

  25. Practical Quiz #1 Using Estimation, fill in the blanks where would you put the decimal point in the answer? • A) $782.56 - $258.76 = $5238 _______ - _______ = _______

  26. Multiplying Decimals Learn Alberta http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=10 Slides 1, 4, 5

  27. Multiplying Decimal NumbersStudent Outcome: I can estimate by +,-,x,÷ decimals. • Problem: Page 52 • Ashley and Marshall’s family keep busy travelling across the country by solving sudoku puzzles! During a stop, they look in a convenience store for more puzzles. • Marshall finds sudoku books on sale for $1.69. he wants to buy five books and has $9.00. • Help him estimate the total cost of the five puzzle books! • $1.69 x 5 = ______?

  28. Multiplying Decimal NumbersStudent Outcome: I can estimate by +,-,x,÷ decimals. • 1. Marshall estimates the total bill as $5.00 • a) How do you think Marshall got his estimate? • b) Is Marshall’s estimate over or under the total? • How do you know? • 2. Ashley estimates the total bill as $10.00 • a) How do you think Ashley got her estimate? • b) Is Ashley’s estimate over or under the total? • How do you know?

  29. DID YOU KNOW!!!! Sudoku • Sudoku was invented hundreds • of years ago, and traded around the world by ancient mathematicians. • Each digit from 1 to 9 must occur in: • Each row • Each column • Each 3 x 3 square.

  30. Multiplying DecimalsStudent Outcome: I can estimate by +,-,x,÷ decimals. • Use front-end estimation and relative size to estimate: • 2.65 x 3.72 • Front-End Estimation: • Relative Size: (are there easier #’s to use) • Compensation:

  31. Multiplying DecimalsStudent Outcome: I can estimate by +,-,x,÷ decimals. Estimate to make sure your answer is reasonable! • Multiply 1.54 x 25 • What strategy will you use?

  32. Multiplying DecimalsStudent Outcome: I can estimate by +,-,x,÷ decimals. • Use a calculator to solve the equation: Multiply 1.54 x 25 • Things I know: 25 x 1 = 25 • Things I know 25 x 2 = 50 • Why would the answer lie between 25 and 50.

  33. Multiplying DecimalsStudent Outcome: I can estimate by +,-,x,÷ decimals. • Using paper and pencil • Multiply without decimals add decimals to product • Estimate an answer. Why? • Ex: 2.6 x 3.7= 26 x37 962

  34. Practice Makes Perfect • Page 57 • 3, 6ab, 9, 13, 14,17 • Extend 20, 21

  35. Dividing Decimals Learn Alberta http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=10 Slides 6-9

  36. Dividing Decimal NumbersStudent Outcome: I can estimate by +,-,x,÷ decimals. • Example 1: • A) 15.4 ÷ 3.6 = 4.27778 Front-End Estimation: • Things I know: 15 ÷ 3 = 5 • The answer closest to 5 is 4.27778

  37. Dividing Decimal Numbers Using a Number Line Ex: 10 ÷ 2 =

  38. Use Estimation to Place the Decimal Point.Student Outcome: I can problem solve using decimals. • Example #2: Four friends buy 1.36L of pure orange juice and divide it equally. • A) Estimate each person’s share. • B) Calculate each person’s share.

  39. Use Estimation to Place the Decimal Point. • Solution: • A) To estimate, round 1.36L to a number that is easier to work with. • Try 1.2 • 1.2 ÷ 4 = 0.3 Underestimate • Try 1. • 1.6 ÷ 4 = 0.4 Overestimate • Things I know 12 ÷ 4 = 3 So 1.2 ÷ 4 = 0.3 16 ÷ 4 = 4 So 1.6 ÷ 4 = 0.4

  40. Dividing DecimalsStudent Outcome: I can problem solve using decimals. • Problem Questions: • 1. How many pens do you think you can buy with $6.00 if one pen costs $0.40 • Use both front-end estimation and relative size estimation to find your educated guess. Strategy Used:

  41. Working Together!! • Pg 66 #10 • A package of 7 fish hooks costs $17.99 • How much will one fish hook cost? • Estimate • Calculate- by hand and with calculator • Did you over/under estimate? ANSWER: $17.99 ÷ 7 = $2.57

  42. Working Together! • Pg 66 #11 • Ashley wants to find how many 355 mL cans of juice are in a 2-L bottle. • A) Show Ashley how to estimate the answer • B) Show Ashley how to calculate the answers

  43. Assignment • Page 65 – 67 • #4, 8, 12, 13, 14, 17, 19 • Extend #21, 22

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