Lesson plan

7. Using arrays and partial quotients to solve division problems (FP)

teaches Common Core State Standards CCSS.Math.Content.4.NBT.B.6 http://corestandards.org/Math/Content/4/NBT/B/6
teaches Common Core State Standards CCSS.Math.Content.4.OA.A.3 http://corestandards.org/Math/Content/4/OA/A/3
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Lesson objective: Divide multi-digit numbers using arrays and partial quotients. 

This lesson helps to build fluency with multi-digit division. Arrays and partial quotients are used here because they clearly display the division taking place in the problems. This work develops students' understanding that decomposing the dividend can make it easier to divide multi-digit numbers.

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they use arrays, place value and partial quotients to solve division problems.

Key vocabulary:

  • array
  • base ten block
  • cube
  • decomposition
  • dividend
  • divisor
  • flat
  • place value
  • quotient
  • rod

Special materials needed:

  • base ten blocks