# 12. Using operations with negative rational numbers (A)

teaches Common Core State Standards CCSS.Math.Content.7.EE.B.3 http://corestandards.org/Math/Content/7/EE/B/3
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Lesson objective: Apply properties of operations to expressions with negative rational numbers.

This lesson provides an opportunity for students to apply their knowledge and understanding of properties of operations to a mathematical situation. Students are asked to complete expressions to represent a specific value that is a negative mixed number.

Key Concept students will use:

• We can use equivalent forms of rational numbers and the relationships between operations to solve problems.

Skills students will use:

• Apply operations to rational numbers (Grade 7, Units 4 and 5)
• Understanding equivalence of expressions (Grade 6, Unit 8)
• Decomposing rational numbers (Grade 4, Unit 5)

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they consider the structure of a negative rational number and its relationship to its opposite rational number and a number line.

Key vocabulary:

• properties of operations
• decomposing
• opposites

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