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topic A
4 hours

Relationships of the Operations


Description

Students understand the relationships of operations and use them to generate equivalent expressions. By this time, students have had ample experience with the four operations since they have worked with them from kindergarten through Grade 5.

The topic opens with the opportunity to clarify those relationships, providing students with the knowledge to build and evaluate identities that are important for solving equations. In this topic, students discover and work with the following identities:
w - x + x = w
w + x - x = w

a divided by b times b = a
a times b divided by b = a (when b ≠ 0)

3x = x + x + x

If 12 divided x = 4
Then 12 - x - x - x - x = 0.

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Credits

From EngageNY.org of the New York State Education Department. Grade 6 Mathematics Module 4, Topic A, Overview. Available from engageny.org/resource/grade-6-mathematics-module-4-topic-overview; accessed 2015-05-29.
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