# 7. Using the Standard Algorithm: Iterating Groups and Comparisons (A)

teaches Common Core State Standards CCSS.Math.Content.5.NBT.B.5 http://corestandards.org/Math/Content/5/NBT/B/5
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1

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Lesson objective: Solve multiplication problems involving iterating groups and comparisons.

This lesson provides an opportunity for students to apply their knowledge and understanding of the standard algorithm for multiplication to a real-life situation. Students are asked to solve a mystery to determine which employee gets which paycheck when a manager forgets to put names on the checks.

Key Concept students will use:

• The standard algorithm for multiplication works whether the multiplication situation is iterating groups or is a comparison situation.

Skills students will use:

• Use of area models for multiplication; Grade 4 Unit 2; 4.NBT.B.5
• Use of array models for multiplication; Grade 4 Unit 2; 4.NBT.B.5
• Decomposing numbers to find a product; Grade 4 Unit 2; 4.NBT.B.5
• Use of standard algorithm for multiplication; Grade 5, Unit 2; 5.NBT.B.5

Students engage in Mathematical Practice 1 (Make sense of problems and persevere in solving them) as they use clues to make sense of mathematical situations and find solution strategies.

Key vocabulary:

• comparison problems
• iterating groups problems
• standard algorithm

Special materials needed:

• list of clues
• chart for keeping track of answers
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