# 5. Solve two-step problems using number patterns (A)

teaches Common Core State Standards CCSS.Math.Content.3.OA.D.8 http://corestandards.org/Math/Content/3/OA/D/8
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Lesson objective: Solve two-step problems using number patterns.

This lesson provides an opportunity for students to apply their knowledge and understanding of number patterns to a real-life situation. Students are asked to use a two-step pattern to calculate how many juggling passes Helen wants to be able to complete by the end of three weeks.

Key Concept students will use:

• We can find patterns in the number system and explain them using properties of operations.

Skills students will use:

• Using arrays for foundations of multiplication (Grade 2, Unit 13)
• Investigating patterns in number and operations
• Exploring equal groups as a foundation for multiplication and division (Grade 3, Unit 1)

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they investigate patterns and discover connections to the properties of addition, subtraction, multiplication, and division. Charts are used to organize information, and using number lines clarifies the steps in determining and extending a pattern. Prompts will include: "What do we know about multiplication (or other operation) that will help us extend this pattern?"

Key vocabulary:

• decrease
• double
• increase
• pattern
• pattern unit

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