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Lesson Plan

4. Find patterns and describe them using properties of operations (C)

teaches Common Core State Standards 111.5.4.A
teaches Common Core State Standards 111.5.5.A
teaches Common Core State Standards 111.6.5.A
teaches Common Core State Standards 3.AT.3
teaches Common Core State Standards CCSS.Math.Content.3.OA.D.8
teaches Common Core State Standards CCSS.Math.Practice.MP7
teaches Common Core State Standards CCSS.Math.Practice.MP3
teaches Common Core State Standards MAFS.3.OA.4.8
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Lesson objective: Extend understanding that finding and describing patterns is connected to properties of operations.

Students bring prior knowledge of skip-counting by 3's and 6's. This prior knowledge is extended to looking for and finding realtionships between the multiples of 3 and 6.  A conceptual challenge students may encounter is understanding that factors in a multiplication problem can be broken apart, multiplied separately, and added back together.

The concept is developed through work with equal groups model and multiplication charts, which provide visual representations of patterns and how to extend and define them.

This work helps students deepen their understanding of operations because finding, describing, and extending patterns frequently is based in properties of addition, subtraction, multiplication, and division.

Students engage in Mathematical Practice 3 (Construct viable arguments and critique the reasoning of others) as they analyze and justify their reasoning.  They also use Mathematical Practice 7 (Look for and make use of structure) as they break apart factors of multiplication problems.

Key vocabulary:

  • double
  • equal groups model
  • muliplication chart
  • operations
  • pattern
  • properties
  • skip-count


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Investigating patterns in number and operations

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