Lesson plan

10. A Journey West (A)

teaches Common Core State Standards CCSS.Math.Content.4.NBT.B.5 http://corestandards.org/Math/Content/4/NBT/B/5
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.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8
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Lesson objective:  Solve a complex problem using various strategies for multi-digit multiplication and division.

This lesson provides an opportunity for students to apply their knowledge and understanding of  multi-digit multiplication and division to a real-life situation. Students are asked to load wagons for a pioneer journey west.  Students need to make choices about the items to include, find the amount needed for four families and then divide the amounts among six wagons.  Each wagon has a weight limit and there are certain items that must be included in each wagon.

Key Concept students will use: 

  • We can multiply and divide whole numbers of up to four digits using a variety of strategies; the choice of strategy does not change the quantities involved or the relationships between them.

Skills students will use:

  • decomposition of single- and multi-digit whole numbers by place value or by creating friendly numbers for use in multiplication problems (Grade 4, Unit 2).
  • the area model for multiplication and division (Grade 4, Unit 2).
  • the partial quotient model for division (Grade 4, Unit 2).

Students engage in Mathematical Practice 1, make sense of problems and persevere in solving them as they analyze the problem and determine a strategy for solving it.  Students engage in Mathematical Practice 8, look for and express regularity in repeated reasoning as they examine similarities and differences between strategies.

Key vocabulary: 

  • area model
  • decompose
  • distributive property
  • partial product
  • partial quotient
  • place value
  • properties of operations
  • relationship