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Welcome to 6 + h Grade Ma + h

Welcome to 6 + h Grade Ma + h. Day…. 1 – Multiplying Decimals by Whole N umbers 2 – Multiplying Decimals by Decimals 3 – Dividing Decimals by Whole Numbers 4 - Dividing Decimals by Decimals 5 – Exploring Multiplying and Dividing Decimals 6 - Multiplying decimals by Powers of 10

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Welcome to 6 + h Grade Ma + h

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  1. Welcome to 6+h GradeMa+h

  2. Day….. 1 –Multiplying Decimalsby Whole Numbers 2 – Multiplying Decimalsby Decimals 3 – Dividing Decimals by Whole Numbers 4 - Dividing Decimals by Decimals 5 – Exploring Multiplying and Dividing Decimals 6 - Multiplying decimals by Powers of 10 7 – Dividing decimals by Powers of 10 8 - Exploring Powers of 10 9 – Exponents and Chapter Review

  3. Chapter 1 Multiply and Divide Decimals

  4. Day 1

  5. Bell Work The Steven’s Family drove 258 miles a day for 3 days. How many miles did the drive in all? Justify your answer. • If they continued to travel at this rate, how many miles would they drive in a week?

  6. I Can…… Estimate the product of decimals and judge the reasonableness of the results.

  7. Vocabulary • Estimate – a reasonable guess • Compatible number- numbers that are easily multiplied or divided mentally. • Decimal - a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006. • Round-Off Error – the difference between an approximation of a number used in computation and it’s exact value

  8. Let’s Review • Place Value

  9. Estimate Products • Essential Understanding: To estimate the product of decimals, round to the nearest whole number or compatible number before multiplying. Guided Practice: Complete Problems a, b, c on page 25 Self-Check # 1 Independent Practice: Complete Problems 7-8 on page 27

  10. I Can…. Multiply decimals by whole numbers.

  11. Multiply Decimals by Whole Numbers • Essential Understanding: Use the basic rules of multiplication when multiplying a decimal by a whole number or other decimal. To place the decimal in the product, find the sum of decimals places in each factor. Example: 3 x .02 = .06 Guided Practice: Complete Problems 1-8 on page 30 Self-Check # 2 Independent Practice: Complete Problems 9-17 on page 31

  12. Wrap it Up • Review • Questions • Station Work

  13. Day 2

  14. Bell Work Louisa walked her dog 0.4 miles a day on Tuesday, Wednesday, Thursday, and Friday. Find the total distance she walked all week. Justify your answer. If Louisa continued to walk her dog at this rate how far would she walk in 4 weeks?

  15. I Can…… Multiply decimals by decimals.

  16. Vocabulary No New Vocabulary • Estimate – a reasonable guess • Compatible number- numbers that are easily multiplied or divided mentally. • Decimal - a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006. • Round-Off Error – the difference between an approximation of a number used in computation and it’s exact value

  17. Multiplying Decimals by Decimals • Essential Understanding: Use the basic rules of multiplication when mulitpling a decimal by a whole number or other decimal. To place the decimal in the product, find the sum of decimals places in each factor. Example: 1 .5 x 1.5 = 2.25 Guided Practice: Complete Problems a-f on pages 38-39 Self-Check # 3 Independent Practice: Complete Problems 2-10 even on page 39

  18. Wrap it Up • Review • Questions • Station Work

  19. Day 3

  20. Bell Work Junnie walked for 2.5 hours at a speed of 2.3 miles per hour. Maurice walked for 1.8 hours at a speed of 4.1 miles per hour. Who walked farther? Justify your answer. (Hint: Distance = speed x time) How much farther did Junnie Walk?

  21. I can….. Estimate the quotient of decimals and judge the reasonableness of the results.

  22. Vocabulary No New Vocabulary • Estimate – a reasonable guess • Compatible number- numbers that are easily multiplied or divided mentally. • Decimal - a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006. • Round-Off Error – the difference between an approximation of a number used in computation and it’s exact value

  23. Let’s Review • Long Division • Quick Check: Complete Problems 10-14 on page 24 • Self Check # 4

  24. Estimate Quotients • Essential Understanding: To estimate the quotient of decimals, round to the nearest compatible number before dividing. Guided Practice: Complete Problems a-d on page 42 Self-Check # 5 Independent Practice: Complete Problems 2-4 on page 43

  25. I Can…. Divide decimals by whole numbers.

  26. Dividing Decimals by Whole Numbers • Essential Understanding: Use the basic rules of division. To divide by decimals, change the divisor into a whole number by multiplying it by some power of 10. Then multiply the quotient by the same power of 10. Finally, bring the decimal up and divide as usual. Guided Practice: Complete Problems 1-4 on page 48 Self-Check # 6 Independent Practice: Complete Problems a-f on pages 49-50

  27. Wrap it Up • Review • Questions • Station Work

  28. Day 4

  29. Bell Work Ryan and his brother are sharing the cost of a video game. The game cost $28.60. How much does each brother have to pay? Justify your answer. If Ryan saves $20 for the game, how much money will he have left?

  30. I Can…… Divide decimals by decimals.

  31. Vocabulary No New Vocabulary • Estimate – a reasonable guess • Compatible number- numbers that are easily multiplied or divided mentally. • Decimal - a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006. • Round-Off Error – the difference between an approximation of a number used in computation and it’s exact value

  32. Dividing Decimals by Decimals • Essential Understanding: Use the basic rules of division. To divide by decimals, change the divisor into a whole number by multiplying it by some power of 10. Then multiply the quotient by the same power of 10. Finally, bring the decimal up and divide as usual. Guided Practice: Complete Problems 1-6 on pages 54-55 Self-Check # 7 Independent Practice: Complete Problems 19-25 on page 58

  33. Wrap it Up • Review • Questions • Station Work

  34. Day 5

  35. Bell Work The longest vehicle tunnel in the world is the Laerdal Tunnel in Norway with a length of 15.2 miles long. How many vehicles could fit in the tunnel, bumper to bumper, if the average vehicle’s length is 0.004 mile? Justify your answer.

  36. Vocabulary No New Vocabulary • Estimate – a reasonable guess • Compatible number- numbers that are easily multiplied or divided mentally. • Decimal - a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006. • Round-Off Error – the difference between an approximation of a number used in computation and it’s exact value

  37. Explore Lab Day

  38. Wrap it Up • Review • Questions • Station Work

  39. Day 6

  40. Bell Work A necklace is being made with beads that are 1.25 centimeters in diameter. The necklace is 30 centimeters long. How many beads are needed? Justify your answer. How many beads are needed to make 20 necklaces?

  41. I Can…… Multiply decimals mentally by powers of 10.

  42. Vocabulary • Base – the number used as a factor in a power . • Exponent – in a power, the number that tells how many times the base is used as a factor. • Powers – numbers expressed using exponents. • Power of 10 – numbers such as 10; 100; 1,000; 10,000 and so on.

  43. Multiplying Decimals by Powers of 10 Essential Understanding: • To multiply a decimal by a power of 10 greater than 1, move the decimal to the right one place for every zero in the power of 10. Example: 1.8565 x 100 = 185.65 • To multiply a decimal by a power of 10 that is between 0 and 1, move the decimal to the left one place for every decimal place in the power of 10. Example: 34.5 x 0.001 = 0.0345 Guided Practice: Complete Problems a-f on pages 66-67 Self-Check # 8 Independent Practice: Complete Problems 12-24 even on page 68

  44. Wrap it Up • Review • Questions • Station Work

  45. Day 7

  46. Bell Work .048 134 360 7.7423 6.3 4.8x .01 = 13.4 x 10 = 3.6 x 100= 7742.3 x .001 = 0.0063 x 1000 =

  47. I Can…… Divide decimals mentally by powers of 10.

  48. Vocabulary No New Vocabulary • Base – the number used as a factor in a power Exponent – in a power, the number that tells how many times the base is used as a factor. • Powers – numbers expressed using exponents. • Power of 10 – numbers such as 10; 100; 1,000; 10,000 and so on.

  49. Dividing Decimals by Powers of 10 Essential Understanding: • To divide a decimal by a power of 10 greater than 1, move the decimal the left one place for every zero in the power of ten. Example: 421.2 ÷ 10 = 42.12 • To divide a decimal by a power of 10 that is between 0 and 1, move the decimal the right one place for every decimal place in the power of 10. Example: 3.172 ÷ 0.01 = 317.2 Guided Practice: Complete Problems a-e on pages 70-71 Self-Check # 9 Independent Practice: Complete Problems 8-18 even on page 72

  50. Wrap it Up • Review • Questions • Station Work

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