Lesson plan

# 6. Solve more division problems using drawings & equations (A)

teaches Common Core State Standards CCSS.Math.Content.3.OA.A.2 http://corestandards.org/Math/Content/3/OA/A/2
teaches Common Core State Standards CCSS.Math.Content.3.OA.A.3 http://corestandards.org/Math/Content/3/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.MP7 http://corestandards.org/Math/Practice/MP7

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Lesson objective: Solve problems involving division using multiplication strategies, models and equations.

This lesson provides an opportunity for students to apply their knowledge and understanding of division to a real-life situation. Students are asked to put together a savings plan for Jacob, Alexa and Brian by calculating how much they could save for their vacation.  They will also be dividing money earned from different activities to share with the three kids.

Key Concept students will use:

• Drawings and equations can be used to represent and solve multiplication and division situational problems involving equal groups, arrays, and measurement quantities.

Skills students will use:

• Interpreting quotients of whole numbers as a number of shares (partitive or distribution division) and a number of groups (quotative or measurement division) (Grade 3, Unit 1 & 7)
• Interpreting products of whole numbers as a number of groups or a number of objects (Grade 3, Unit 1)
• Using drawings and equations to represent and solve multiplication and division situational problems involving equal groups and arrays (Grade 3, Unit 1)

Students engage in Mathematical Practice 1 (Make sense of problems and persevere in solving them) as they understand that they are making equal groups or parts and using division.  They will persevere by using drawings and equations to help represent and find solutions for problems involving multiplication and division.

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they form distinguishable groups, rows or jumps in a drawing or representation.  These can also help them make sense of how a multiplication and division equation can be used to represent the drawing or group of tiles or counters.

Key vocabulary:

• array
• divide
• equal groups
• equation
• quotient
• repeated subtraction
• representation

Special materials needed:

• base ten blocks to reason with, such as breaking apart numbers
• manipulatives such as square tiles, counters or cubes