# ALEX Classroom Resources

ALEX Classroom Resources
Subject: Mathematics (6)
Title: Grade 6 Mathematics Module 4, Topic A: Relationships of the Operations
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.

Subject: Mathematics (6)
Title: Grade 6 Mathematics Module 4, Topic D: Expanding, Factoring, and Distributing Expressions
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.

Subject: Mathematics (6)
Title: KutaSoftware: Algebra 1 - Using the Distributive Property Part 1
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.

Subject: Mathematics (6)
Title: KutaSoftware: Algebra 1 - Using the Distributive Property Part 2