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Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients

Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients. Objective: to estimate products Products And Quotients with decimals. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients. Read the top of page 92 about how much string Bernie needs.

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Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients

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  1. Name ____ Gr. 6__ Lesson 2 Estimating Nov_Products And Quotients Objective: to estimate products Products And Quotients with decimals.

  2. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients Read the top of page 92 about how much string Bernie needs.

  3. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients Read the top of page 92 about how much string Bernie needs. What does the word “about” mean?

  4. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients Read the top of page 92 about how much string Bernie needs. What does the word “about” mean? “About” means “only an estimate is needed”.

  5. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients Read the top of page 92 about how much string Bernie needs. What does the word “about” mean? “About” means “only an estimate is needed”. How can you use “decimal benchmarks” to help you estimate?

  6. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients Read the top of page 92 about how much string Bernie needs. What does the word “about” mean? “About” means “only an estimate is needed”. How can you use “decimal benchmarks” to help you estimate? Well... 1.15 is closer to 1 than 2, I will multiply ≈

  7. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients Read the top of page 92 about how much string Bernie needs. What does the word “about” mean? “About” means “only an estimate is needed”. How can you use “decimal benchmarks” to help you estimate? Well... 1.15 is closer to 1 than 2, I will multiply ≈ 1m X 6 ≈ 6m Bernie will need about 6 metres of string altogether.

  8. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients Read the top of page 92 about how much string Bernie needs. What does the word “about” mean? “About” means “only an estimate is needed”. How can you use “decimal benchmarks” to help you estimate? Well... 1.15 is closer to 1 than 2, I will multiply ≈ 1m X 6 ≈ 6m Bernie will need about 6 metres of string altogether. OR better yet, “Bernie will need a little more than 6m of string.”

  9. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients Page 92 EXPLORE : Estimate your 2 answers, recording HOW you estimated.

  10. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: 3 strategies to estimate: Front-end Estimation: Decimal Benchmarks: Compatible Numbers:

  11. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: 3 strategies to estimate: Front-end Estimation: simply chop off all digits and only use the place value of the front digit. 2) Decimal Benchmarks: 3) Compatible Numbers:

  12. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: 3 strategies to estimate: Front-end Estimation: simply chop off all digits and only use the place value of the front digit. Ex: 2.73 X 8 ≈ 2) Decimal Benchmarks: 3) Compatible Numbers:

  13. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: 3 strategies to estimate: Front-end Estimation: simply chop off all digits and only use the place value of the front digit. Ex: 2.73 X 8 ≈ 2 X 8 ≈ 16 NOT Good! Underestimated! L 2) Decimal Benchmarks: 3) Compatible Numbers:

  14. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: 3 strategies to estimate: Front-end Estimation: simply chop off all digits and only use the place value of the front digit. Ex: 2.73 X 8 ≈ 2 X 8 ≈ 16 NOT Good! Underestimated! L 2) Decimal Benchmarks: Find which number the decimal is closer to... 3) Compatible Numbers:

  15. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: 3 strategies to estimate: Front-end Estimation: simply chop off all digits and only use the place value of the front digit. Ex: 2.73 X 8 ≈ 2 X 8 ≈ 16 NOT Good! Underestimated! L 2) Decimal Benchmarks: Find which number the decimal is closer to... Ex: 2.73 X 8 ≈

  16. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: 3 strategies to estimate: Front-end Estimation: simply chop off all digits and only use the place value of the front digit. Ex: 2.73 X 8 ≈ 2 X 8 ≈ 16 NOT Good! Underestimated! L 2) Decimal Benchmarks: Find which number the decimal is closer to... Ex: 2.73 X 8 ≈ 3 X 8 ≈ 24 Better! Overestimated, but closer J 3) Compatible Numbers:

  17. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: 3 strategies to estimate: Front-end Estimation: simply chop off all digits and only use the place value of the front digit. Ex: 2.73 X 8 ≈ 2 X 8 ≈ 16 NOT Good! Underestimated! L 2) Decimal Benchmarks: Find which number the decimal is closer to... Ex: 2.73 X 8 ≈ 3 X 8 ≈ 24 Better! Overestimated, but closer J 3) Compatible Numbers: Use numbers that are easy to use mentally.

  18. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: 3 strategies to estimate: Front-end Estimation: simply chop off all digits and only use the place value of the front digit. Ex: 2.73 X 8 ≈ 2 X 8 ≈ 16 NOT Good! Underestimated! L 2) Decimal Benchmarks: Find which number the decimal is closer to... Ex: 2.73 X 8 ≈ 3 X 8 ≈ 24 Better! Overestimated, but closer J 3) Compatible Numbers: Use numbers that are easy to use mentally. Ex: 575.94 / 4 ≈

  19. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: 3 strategies to estimate: Front-end Estimation: simply chop off all digits and only use the place value of the front digit. Ex: 2.73 X 8 ≈ 2 X 8 ≈ 16 NOT Good! Underestimated! L 2) Decimal Benchmarks: Find which number the decimal is closer to... Ex: 2.73 X 8 ≈ 3 X 8 ≈ 24 Better! Overestimated, but closer J 3) Compatible Numbers: Use numbers that are easy to use mentally. Ex: 575.94 / 4 ≈ 600 /4 because 60 is a multiple of 4 ≈ 150

  20. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: 3 strategies to estimate: Front-end Estimation: simply chop off all digits and only use the place value of the front digit. Ex: 2.73 X 8 ≈ 2 X 8 ≈ 16 NOT Good! Underestimated! L 2) Decimal Benchmarks: Find which number the decimal is closer to... Ex: 2.73 X 8 ≈ 3 X 8 ≈ 24 Better! Overestimated, but closer J 3) Compatible Numbers: Use numbers that are easy to use mentally. Ex: 575.94 / 4 ≈ 600 /4 because 60 is a multiple of 4 ≈ 150 OR 560/4 because 56 is a multiple of 4 ≈ 140

  21. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: Let’s add a 4th strategy to estimate if you need to round off 2 decimals: 4) Over/Under Estimation:

  22. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: Let’s add a 4th strategy to estimate if you need to round off 2 decimals: 4) Over/Under Estimation: Round one of the decimals up and to balance that over-estimate, round the other decimal off. Ex #1: 2.87 X 9.14 ≈

  23. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: Let’s add a 4th strategy to estimate if you need to round off 2 decimals: 4) Over/Under Estimation: Round one of the decimals up and to balance that over-estimate, round the other decimal off. Ex #1: 2.87 X 9.14 ≈ 3 X 9 ≈ 27

  24. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: Let’s add a 4th strategy to estimate if you need to round off 2 decimals: 4) Over/Under Estimation: Round one of the decimals up and to balance that over-estimate, round the other decimal off. Ex #1: 2.87 X 9.14 ≈ 3 X 9 ≈ 27 Ex. #2: 19.389 + 61.704 ≈

  25. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients CONNECT: Let’s add a 4th strategy to estimate if you need to round off 2 decimals: 4) Over/Under Estimation: Round one of the decimals up and to balance that over-estimate, round the other decimal off. Ex #1: 2.87 X 9.14 ≈ 3 X 9 ≈ 27 Ex. #2: 19.389 + 61.704 ≈ 20 + 60 ≈ 80

  26. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients PRACTICE on Page 94: #1, #2, #3, #4

  27. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 1. Estimate each product or quotient. Which strategies did you use? Tell if your estimate is an overestimate or an underestimate. 7.01 X 9 b) 3.8 X 7 c) 11.85 X 5 d) 19.925 X 4 e) 9.8  5 f) 12.31  2 g) 56.093  7 h) 225.3  5

  28. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 1. Estimate each product or quotient. Which strategies did you use? Tell if your estimate is an overestimate or an underestimate. 7.01 X 9 b) 3.8 X 7 c) 11.85 X 5 d) 19.925 X 4 ≈ 7 X 9 ≈ 63 Under e) 9.8  5 f) 12.31  2 g) 56.093  7 h) 225.3  5

  29. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 1. Estimate each product or quotient. Which strategies did you use? Tell if your estimate is an overestimate or an underestimate. 7.01 X 9 b) 3.8 X 7 c) 11.85 X 5 d) 19.925 X 4 ≈ 7 X 9 ≈ 63 ≈ 4 X 7 ≈ 28 Under Over e) 9.8  5 f) 12.31  2 g) 56.093  7 h) 225.3  5

  30. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 1. Estimate each product or quotient. Which strategies did you use? Tell if your estimate is an overestimate or an underestimate. 7.01 X 9 b) 3.8 X 7 c) 11.85 X 5 d) 19.925 X 4 ≈ 7 X 9 ≈ 63 ≈ 4 X 7 ≈ 28 ≈ 12 X 5 ≈ 60 Under Over Over e) 9.8  5 f) 12.31  2 g) 56.093  7 h) 225.3  5

  31. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 1. Estimate each product or quotient. Which strategies did you use? Tell if your estimate is an overestimate or an underestimate. 7.01 X 9 b) 3.8 X 7 c) 11.85 X 5 d) 19.925 X 4 ≈ 7 X 9 ≈ 63 ≈ 4 X 7 ≈ 28 ≈ 12 X 5 ≈ 60 ≈ 20 X 4 ≈ 80 Under Over Over Over e) 9.8  5 f) 12.31  2 g) 56.093  7 h) 225.3  5

  32. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 1. Estimate each product or quotient. Which strategies did you use? Tell if your estimate is an overestimate or an underestimate. 7.01 X 9 b) 3.8 X 7 c) 11.85 X 5 d) 19.925 X 4 ≈ 7 X 9 ≈ 63 ≈ 4 X 7 ≈ 28 ≈ 12 X 5 ≈ 60 ≈ 20 X 4 ≈ 80 Under Over Over Over e) 9.8  5 f) 12.31  2 g) 56.093  7 h) 225.3  5 ≈ 10 / 5 ≈ 2 Over

  33. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 1. Estimate each product or quotient. Which strategies did you use? Tell if your estimate is an overestimate or an underestimate. 7.01 X 9 b) 3.8 X 7 c) 11.85 X 5 d) 19.925 X 4 ≈ 7 X 9 ≈ 63 ≈ 4 X 7 ≈ 28 ≈ 12 X 5 ≈ 60 ≈ 20 X 4 ≈ 80 Under Over Over Over e) 9.8  5 f) 12.31  2 g) 56.093  7 h) 225.3  5 ≈ 10 / 5 ≈ 2 ≈ 12 / 2 ≈ 6 Over Under

  34. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 1. Estimate each product or quotient. Which strategies did you use? Tell if your estimate is an overestimate or an underestimate. 7.01 X 9 b) 3.8 X 7 c) 11.85 X 5 d) 19.925 X 4 ≈ 7 X 9 ≈ 63 ≈ 4 X 7 ≈ 28 ≈ 12 X 5 ≈ 60 ≈ 20 X 4 ≈ 80 Under Over Over Over e) 9.8  5 f) 12.31  2 g) 56.093  7 h) 225.3  5 ≈ 10 / 5 ≈ 2 ≈ 12 / 2 ≈ 6 ≈ 56 / 7 ≈ 8 Over Under Under

  35. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 1. Estimate each product or quotient. Which strategies did you use? Tell if your estimate is an overestimate or an underestimate. 7.01 X 9 b) 3.8 X 7 c) 11.85 X 5 d) 19.925 X 4 ≈ 7 X 9 ≈ 63 ≈ 4 X 7 ≈ 28 ≈ 12 X 5 ≈ 60 ≈ 20 X 4 ≈ 80 Under Over Over Over e) 9.8  5 f) 12.31  2 g) 56.093  7 h) 225.3  5 ≈ 10 / 5 ≈ 2 ≈ 12 / 2 ≈ 6 ≈ 56 / 7 ≈ 8 ≈ 200 / 5 ≈ 40 Over Under Over Under

  36. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 2. Waldo paid $29.85 for 3 admission tickets to the Calgary Tower. Estimate the cost of one admission ticket.

  37. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 2. Waldo paid $29.85 for 3 admission tickets to the Calgary Tower. Estimate the cost of one admission ticket. $29.85 / 3 ≈ $30 / 3 ≈ $10 One admission ticket to the Calgary Tower is about $10.

  38. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 3. A pair of ice cleats for ice fishing costs $14.89. About how much will 6 pairs of ice cleats cost? How did you find out?

  39. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 3. A pair of ice cleats for ice fishing costs $14.89. About how much will 6 pairs of ice cleats cost? How did you find out? $14.89 X 6 ≈ $15 X 6 ≈ $90 6 pairs of ice cleats cost about $90. I rounded up to $15 and x by 6.

  40. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 4. Estimate the perimeter of each square. Tell if your estimate is an overestimate or an underestimate. How do you know? b) c) 1.3cm 2.1cm 2.6cm

  41. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 4. Estimate the perimeter of each square. Tell if your estimate is an overestimate or an underestimate. How do you know? b) c) 1.3cm 2.1cm 2.6cm P = 4s or 4 X side = 4 X 1.3 ≈ 4 X 1 ≈ 4cm Under

  42. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 4. Estimate the perimeter of each square. Tell if your estimate is an overestimate or an underestimate. How do you know? b) c) 1.3cm 2.1cm 2.6cm P = 4s or 4 X side P = 4s or 4 X side = 4 X 1.3 = 4 X 2.1 ≈ 4 X 1 ≈ 4cm ≈ 4 X 2 ≈ 8cm Under Under

  43. Name ____ Gr. 6__ Lesson 2 Estimating Nov_ Products And Quotients P.94: 4. Estimate the perimeter of each square. Tell if your estimate is an overestimate or an underestimate. How do you know? b) c) 1.3cm 2.1cm 2.6cm P = 4s or 4 X side P = 4s or 4 X side P = 4s or 4 X side = 4 X 1.3 = 4 X 2.1 = 4 X 2.6 ≈ 4 X 1 ≈ 4cm ≈ 4 X 2 ≈ 8cm ≈ 4 X 3 ≈ 12cm Under Under Over

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