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Dividing Decimal Dividends by Two-Digit Divisors: Estimation and Reasoning

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In this lesson, students will learn to divide decimal dividends by two-digit divisors while estimating quotients and reasoning about the placement of the decimal point. The lesson aligns with Common Core Standards 5.NBT.7, which emphasizes the ability to add, subtract, multiply, and divide decimals using different strategies. Through concrete models, drawings, and written methods, students will activate prior knowledge by solving various division problems, including real-world scenarios. Engage in hands-on activities to strengthen understanding and connection to decimal division concepts.

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Dividing Decimal Dividends by Two-Digit Divisors: Estimation and Reasoning

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  1. Module 2 Lesson 27 • Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method.

  2. Common Core Standards • 5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

  3. I can divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method. Learning Targets

  4. Activate Knowledge Solve the division problem expressingthe whole in tenths 1.2 ÷ 6 =

  5. Activate Knowledge Write as a three step division taking out the ten 1.2 ÷ 6 = 0.2 1.2 ÷ 30 =

  6. Activate Knowledge Solve the division problem expressingthe whole in tenths 8.4 ÷ 4 =

  7. Activate Knowledge Write as a three step division taking out the ten 8.4 ÷ 4 = 8.4 ÷ 40 =

  8. Activate Knowledge Solve the division problem expressingthe whole in tenths 6 ÷ 3 =

  9. Activate Knowledge Write as a three step division taking out the ten 6 ÷ 3 = 6 ÷ 30 =

  10. Activate Knowledge Solve the division problem expressingthe whole in hundredths 0.32 ÷ 4 =

  11. Activate Knowledge Write as a three step division taking out the ten 0.32 ÷ 4 = 0.32 ÷ 40 =

  12. Activate Knowledge 1 liter = ___ mL

  13. Activate Knowledge 1 ft = ___ in

  14. Activate Knowledge 1 kg = ___ g

  15. Activate Knowledge 1 lb = ___ oz

  16. Activate Knowledge 0.732 liters = ___ ml

  17. Activate Knowledge 0.537 kg = ___ g

  18. Activate Knowledge 0.04 kg = ___ g

  19. Activate Knowledge Write the division equation to estimate the quotient 83.03 ÷ 23

  20. Activate Knowledge Solve using the standard algorithm 83.03 ÷ 23

  21. Activate Knowledge Write the division equation to estimate the quotient 6.76 ÷ 13

  22. Activate Knowledge Solve using the standard algorithm 6.76 ÷ 13

  23. Activate Knowledge Write the division equation to estimate the quotient 12.43 ÷ 11

  24. Activate Knowledge Solve using the standard algorithm 12.43 ÷ 11

  25. Activate Knowledge Write the division equation to estimate the quotient 65.94 ÷ 21

  26. Activate Knowledge Solve using the standard algorithm 65.94 ÷ 21

  27. Activate Knowledge Michael has 567 pennies, Jorge has 464, and Jaime has 661. If the pennies are shared equally by the 3 boys and 33 of their classmates, how much money will each classmate receive? Express your final answer in dollars.

  28. Learn In a 77 kilometer relay race, each of 22 team members runs an equal distance. How many kilometers does each team member run? Problem 1

  29. Learn A vial contains 14.7 mL of serum that is then split equally into 21 tiny containers. How much serum is in each new container? Problem 2

  30. Learn The surface area of a rectangular piece of construction paper is 140.25 square inches. If the paper’s length is 17 inches, what is the width? Problem 3

  31. Practice

  32. Review

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

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