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Mastering Division: Three- and Four-Digit Numbers by Two-Digit Divisors

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In this lesson, students will learn how to divide three- and four-digit dividends by two-digit divisors, resulting in two- and three-digit quotients. Emphasis will be placed on reasoning through the decomposition of successive remainders in each place value, in line with Common Core Standard 5.NBT.6. Students will develop strategies based on place value and the properties of operations, illustrated through equations, rectangular arrays, and area models. Activities include estimating quotients and solving real-world problems, enhancing both understanding and teamwork.

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Mastering Division: Three- and Four-Digit Numbers by Two-Digit Divisors

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  1. Module 2 Lesson 22 • Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value.

  2. Common Core Standards • 5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two- digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

  3. I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value. Learning Targets

  4. Activate Knowledge Write the division sentence in unit form 6 hundreds ÷ 2 =

  5. Activate Knowledge Write the division sentence in unit form 6 tens ÷ 2

  6. Activate Knowledge Write the division sentence in unit form 6 ones ÷ 2

  7. Activate Knowledge Write the division sentence in unit form 6 tenths ÷ 2

  8. Activate Knowledge Write the division sentence in decimal form 6 tenths ÷ 2

  9. Activate Knowledge Write the division sentence in decimal form 6 hundredths ÷ 2

  10. Activate Knowledge Write the division sentence in decimal form 8 ones ÷ 2

  11. Activate Knowledge Write the division sentence in decimal form 8 tenths ÷ 2

  12. Activate Knowledge Write the division sentence in decimal form 8 hundredths ÷ 2

  13. Activate Knowledge On your whiteboards, skip count by: 17

  14. Activate Knowledge Correct your work 17

  15. Activate Knowledge Skip count again 17

  16. Activate Knowledge On your whiteboards, skip count by: 32

  17. Activate Knowledge Correct your work 32

  18. Activate Knowledge Skip count again 32

  19. Activate Knowledge • Estimate • Solve • Check Show how to estimate the quotient 208 ÷ 37

  20. Activate Knowledge • Estimate • Solve • Check 208 ÷ 37

  21. Activate Knowledge • Estimate • Solve • Check Show how to estimate the quotient 128 ÷ 57

  22. Activate Knowledge • Estimate • Solve • Check 128 ÷ 57

  23. Activate Knowledge • Estimate • Solve • Check Show how to estimate the quotient 664 ÷ 83

  24. Activate Knowledge • Estimate • Solve • Check 664 ÷ 83

  25. Activate Knowledge Zenin’s baby sister weighed 132 ounces at birth. How much did his sister weigh in pounds and ounces?

  26. Learn • Estimate • Solve • Check Can we divide 5 hundreds by 17? 590 ÷ 17 Estimates Check Problem 1

  27. Learn Can we divided 59 tens intogroups of 17 or 17 groups? • Estimate • Solve • Check 590 ÷ 17 Estimates Check Problem 1

  28. Learn • Estimate • Solve • Check Round 59 tens & 17 to estimate 590 ÷ 17 Estimates Check Problem 1

  29. Learn • Estimate • Solve • Check 3 tens x 17 590 ÷ 17 Estimates Check Problem 1

  30. Learn • Estimate • Solve • Check Can I divide 8 tens by 17? 590 ÷ 17 Estimates Check Problem 1

  31. Learn • Estimate • Solve • Check Can I divide 80 ones by 17? 590 ÷ 17 Estimates Check Problem 1

  32. Learn • Estimate • Solve • Check 590 ÷ 17 Estimates Check Problem 1

  33. Learn • Estimate • Solve • Check 887 ÷ 27 Estimates Check Problem 2

  34. Learn • Estimate • Solve • Check 839 ÷ 41 Estimates Check Problem 3

  35. Learn • Estimate • Solve • Check 820 ÷ 42 Estimates Check Problem 4

  36. Learn • Estimate • Solve • Check 908 ÷ 56 Estimates Check Problem 5

  37. Learn • Estimate • Solve • Check 2458 ÷ 51 Estimates Check Problem 6

  38. Practice

  39. Review

  40. Learn ✔ Practice Check Understanding Review Activate Knowledge Learning Targets Teamwork

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