# ALEX Classroom Resources

ALEX Classroom Resources
Subject: Mathematics (6)
Title: Grade 6 Mathematics Module 2, Topic D: Number Theory--Thinking Logically About Multiplicative Arithmetic
Description:

In Module 2, Topic D, students think logically about multiplicative arithmetic. Students apply odd and even number properties and divisibility rules to find factors and multiples. They extend this application to consider common factors and multiples and find the greatest common factors and least common multiples. Students explore and discover that Euclid’s Algorithm is a more efficient way to find the greatest common factor of larger numbers and see that Euclid’s Algorithm is based on long division.

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 (5 - 6)
Title: Add & Subtract With Unlike Denominators StudyJam