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ALEX Classroom Resources  
   View Standards     Standard(s): [MA2019] (6) 16 :
16. Generate equivalent algebraic expressions using the properties of operations, including inverse, identity, commutative, associative, and distributive.
Subject: Mathematics (6)
Title: Grade 6 Mathematics Module 4, Topic A: Relationships of the Operations
URL: https://www.engageny.org/resource/grade-6-mathematics-module-4-topic-overview
Description:

To begin Module 4, students are introduced to important identities that will be useful in solving equations and developing proficiency with solving problems algebraically. In Topic A, students understand the relationships of operations and use them to generate equivalent expressions (6.EE.A.3). By this time, students have had ample experience with the four operations since they have worked with them from kindergarten through Grade 5 (1.OA.B.3, 3.OA.B.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), and 3x = x + x + x. Students will also discover that if 12 divided x = 4, then 12 - x - x - x - x = 0.



   View Standards     Standard(s): [MA2019] (6) 7 :
7. Use the distributive property to express the sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factor.
[MA2019] (6) 8 :
8. Find the greatest common factor (GCF) and least common multiple (LCM) of two or more whole numbers.

a. Use factors and multiples to determine prime factorization.
[MA2019] (6) 15 :
15. Write, read, and evaluate expressions in which letters represent numbers in real-world contexts.

a. Interpret a variable as an unknown value for any number in a specified set, depending on the context.

b. Write expressions to represent verbal statements and real-world scenarios.

c. Identify parts of an expression using mathematical terms such as sum, term, product, factor, quotient, and coefficient.

d. Evaluate expressions (which may include absolute value and whole number exponents) with respect to order of operations.
[MA2019] (6) 16 :
16. Generate equivalent algebraic expressions using the properties of operations, including inverse, identity, commutative, associative, and distributive.
Subject: Mathematics (6)
Title: Grade 6 Mathematics Module 4, Topic D: Expanding, Factoring, and Distributing Expressions
URL: https://www.engageny.org/resource/grade-6-mathematics-module-4-topic-d-overview
Description:

In Module 4, 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 the greatest common factor 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 · = 2a, (a + b) + (a + b) = 2 · (a + b) = 2(a + b) = 2a + 2b, and a ÷ b = a/b.



   View Standards     Standard(s): [MA2019] (6) 16 :
16. Generate equivalent algebraic expressions using the properties of operations, including inverse, identity, commutative, associative, and distributive.
Subject: Mathematics (6)
Title: KutaSoftware: Algebra 1 - Using the Distributive Property Part 1
URL: https://www.youtube.com/watch?v=4BWEE9z8yjM&list=PLD7NSlqW6HTGDhLkT5T71rw1e5m9xgFxq&index=16
Description:

This YouTube video will help explain how to teach the Distributive Property using a worksheet from Kuta Software. Kuta Software is free software for math teachers that creates worksheets in a matter of minutes. There are two videos available to fully teach this concept. The videos are labeled Distributive Property Part 1 and Distributive Property Part 2. This video can be played to introduce a lesson on the Distributive Property. This video is 9 minutes and 25 seconds in length.



   View Standards     Standard(s): [MA2019] (6) 16 :
16. Generate equivalent algebraic expressions using the properties of operations, including inverse, identity, commutative, associative, and distributive.
Subject: Mathematics (6)
Title: KutaSoftware: Algebra 1 - Using the Distributive Property Part 2
URL: https://www.youtube.com/watch?v=sz3U60DEVCA&list=PLD7NSlqW6HTGDhLkT5T71rw1e5m9xgFxq&index=17
Description:

This YouTube video will help explain how to teach the Distributive Property using a worksheet from Kuta Software. Kuta Software is free software for math teachers that creates worksheets in a matter of minutes. There are two videos available to fully teach this concept. The videos are labeled Distributive Property Part 1 and Distributive Property Part 2. This video can be played as a continuation of a lesson on the Distributive Property. This video is 9 minutes and 04 seconds in length.



ALEX Classroom Resources: 4

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