Grade 6 Mathematics Module 4, Topic D, Overview

Studying for Test

In Topic D, students become comfortable with new notations of multiplication and division and recognize their equivalence to the familiar notations of the prior grades.  The expression 2 × b is exactly the same as 2 · b and both are exactly the same as 2b.  Similarly, 6 ÷ 2 is exactly the same as 6/2.  These new conventions are practiced to automaticity, both with and without variables.  Students extend their knowledge of GCF and the distributive property from Module 2 to expand, factor, and distribute expressions using new notation (6.NS.B.4).  In particular, students are introduced to factoring and distributing as algebraic identities.  These include:  a + a = 2 · a = 2a, (a + b) + (a + b) = 2 · (a + b) = 2(a + b) = 2a + 2b, and a ÷ b = a/b.

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Common Core Learning Standards

CCLS State Standard
6.EE.2.a Write expressions that record operations with numbers and with letters standing for numbers. For...
6.EE.2.b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient,...
6.EE.3 Apply the properties of operations to generate equivalent expressions.

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