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Mastering Long Division with Remainders: Grade 4 Lesson 17

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This comprehensive Grade 4 lesson focuses on long division, particularly when dealing with remainders. Students will learn essential division vocabulary such as dividend, divisor, quotient, and remainder. The lesson incorporates step-by-step instructions for the long division algorithm and provides engaging examples and problem-solving exercises. From real-world applications like calculating change to team relay times, learners will practice and reinforce critical math skills. Resources for further practice are also included to enhance understanding and confidence in division.

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Mastering Long Division with Remainders: Grade 4 Lesson 17

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  1. MathGrade 4 Mrs. Ennis Long Division (With Remainders Part 2) Lesson Seventeen

  2. 56,785 – 8,888 = 6,006 – K = 4,767 4,000 x 3 = 7 x 6 + 3 = 535 ÷ 5 = Eloise had 35 quarters. How many dollars did she have?

  3. The number of quarts in 4 gallons. The length of one side of a regular hexagon if its perimeter is 24cm. Coach Jones bought 2 softballs for $5.89 each and a bat for $9.99. If he gave the clerk two $20.00 bills, how much change should he receive?

  4. 10. Three girls ran on the winning relay team. Their times were 52 seconds, 58 seconds, and 1 minute 4 seconds. Did they beat the last winning team score of 3 minutes 3 seconds?

  5. Long Division Algorithm

  6. To be really good at division, you must learn your multiplication facts. For this lesson, if you don’t know them, you may want to use a multiplication chart like this one:

  7. Vocabulary • dividend - the number you are dividing • divisor- the number you are dividing by • quotient - the evenly divided result • remainder - what is left over that cannot be evenly divided • divisable- can be divided by evenly

  8. 1 is the remainder r 1 27 5, isthe divisor 27,is the quotient 5 136 136, isthe dividend When writing it like this:

  9. 5 Steps in Long Division 1. Divide Dirty Monkeys Smell Bad 2. Multiply 3. Subtract 4. Bring down. 5. Repeat or Remainder

  10. Step 1 in Long Division 1. Divide 4 2 ) 9 4 78

  11. Step 2 in Long Division 4 2 ) 9 4 7 8 2. Multiply 8

  12. Step 3 in Long Division 4 3. Subtract 2 ) 9 4 78 8 1

  13. Step 4 in Long Division 4 2 ) 9 4 7 8 8 1 4 4. Bring down.

  14. Step 5 in Long Division 5. Repeat or Remainder 4 2 ) 9 4 7 8 8 1 4

  15. Step 1 in Long Division 1. Divide 4 7 2 ) 9 4 7 8 8 1 4

  16. Step 2 in Long Division 4 7 2. Multiply 2 ) 9 4 7 8 8 1 4 1 4

  17. Step 3 in Long Division 4 7 3. Subtract 2 ) 9 4 7 8 8 1 4 1 4 0

  18. Step 4 in Long Division 4 7 4. Bring down. 2 ) 9 4 7 8 8 1 4 1 4 0 7

  19. Step 5 in Long Division 5. Repeat or Remainder 4 7 2 ) 9 4 7 8 8 1 4 1 4 0 7

  20. Step 1 in Long Division 4 7 3 1. Divide 2 ) 9 4 7 8 8 1 4 1 4 0 7

  21. Step 2 in Long Division 4 7 3 2. Multiply 2 ) 9 4 7 8 8 1 4 1 4 0 7 6

  22. Step 3 in Long Division 4 7 3 3. Subtract 2 ) 9 4 7 8 8 1 4 1 4 0 7 6 1

  23. Step 4 in Long Division 4 7 3 4. Bring down 2 ) 9 4 7 8 8 1 4 1 4 0 7 6 1 8

  24. Step 5 in Long Division 5. Repeat or Remainder 4 7 3 2 ) 9 4 7 8 8 1 4 1 4 0 7 6 8 1

  25. Step 1 in Long Division 4 7 3 9 1. Divide 2 ) 9 4 7 8 8 1 4 1 4 0 7 6 1 8

  26. Step 2 in Long Division 9 2. Multiply 4 7 3 2 ) 9 4 7 8 8 1 4 1 4 0 7 6 8 1 1 8

  27. Step 3 in Long Division 9 2. Subtract 4 7 3 2 ) 9 4 7 8 8 1 4 1 4 0 7 8 6 1 1 8 0

  28. Let’s Try Some

  29. 4) 7 3 5 8 Dirty Monkeys Smell Bad

  30. 8 3 9 You did it! R2 1 4 4) 7 3 5 8 3 3 3 2 1 5 1 2 3 8 3 6 2

  31. 6 ) 8 0 3 2 Dirty Monkeys Smell Bad

  32. 3 3 8 R4 1 6 6 ) 8 0 3 2 2 0 1 8 Cool Dude! 2 3 1 8 5 2 4 8 4

  33. 3 ) 9 1 5 2 Dirty Monkeys Smell Bad

  34. 0 1 7 R1 You’re awesome! 3 9 3 ) 9 1 5 2 0 1 0 0 5 3 2 2 2 1 1

  35. 5 ) 1 3 7 6 Dirty Monkeys Smell Bad

  36. 2 7 5 R1 1 0 5 ) 1 3 7 6 3 7 3 5 You’re so smart! 2 6 2 5 1

  37. Online Practice http://www.mrnussbaum.com/draggable_division/division.html http://resources.oswego.org/games/mathmagician/maths1.html

  38. Math Fun: Is it a simple task? Find the missing numbers as fast as you can! 0, 6, 24, 60, 120, 210, ___, ___, ___ (It’s a hard one!!!)

  39. Answer: The missing numbers are 336, 504, 720. The pattern is: Multiply the first three whole numbers, the next three whole numbers, and so on.0 x 1 x 2 = 01 x 2 x 3 = 62 x 3 x 4 = 24, and so on.

  40. Resources: http://mathlearnnc.sharpschool.com/UserFiles/Servers/Server_4507209/File/Instructional%20Resources/G4WW1-4.pdf http://math.pppst.com/division.html http://nces.ed.gov/nceskids/grabbag/math_teasers/Challenge2.asp http://www.syvum.com/cgi/online/fillin.cgi/teasers/hare1.tdf?0 http://resources.oswego.org/games/mathmagician/maths1.html http://www.mrnussbaum.com/draggable_division/division.html

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