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.
Grade 6 Mathematics Module 4, Topic D, Overview
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Common Core Learning Standards
|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.|