Lesson plan

5. Use multiplication and division representations to solve problems (A)

  • From K-5 Math Companion Curriculum
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  • Standards
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teaches Common Core State Standards 3.OA.A.1 http://corestandards.org/Math/Content/3/OA/A/1
teaches Common Core State Standards 3.OA.C.7 http://corestandards.org/Math/Content/3/OA/C/7
teaches Common Core State Standards MP1 http://corestandards.org/Math/Practice/MP1
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Lesson objective: Students will apply their knowledge of using models to represent division and multiplication.

This lesson provides an opportunity for students to apply their knowledge and understanding of using models to a mathematical situation. Students are asked to determine how cookies can be shared equally among friend. 

Key Concepts students will use: 

  • unitizing underlies the idea that products of whole numbers can be interpreted as a number of groups of a number of objects. 

  • quotients of whole numbers can be interpreted as a number of shares (partitive or distribution division) and a number of groups (quotative or measurement division). 

Skills students will use:

  • representing division and multiplicatiton through the use of arrays, equal groups, number lines, repeated addition or repeated subtraction models.
  • students will practice with the inverse property of multiplication and division.

Students engage in Mathematical Practice 1 (make sense of problems and persevere in solving them) as they model multiplication and division using diagrams, arrays, number lines, drawings, etc. 

Key vocabulary: 

  • array
  • equation 
  • factor
  • dividend
  • division
  • division
  • multiplication
  • product
  • quotient
  • repeated addition
  • repeated subtraction
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