ALEX Resources

Narrow Results:
Learning Activities (1) Building blocks of a lesson plan that include before, during, and after strategies to actively engage students in learning a concept or skill. Classroom Resources (3)


ALEX Learning Activities  
   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.
[DLIT] (6) 12 :
6) Identify steps in developing solutions to complex problems using computational thinking.

[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.
Subject: Mathematics (6), Digital Literacy and Computer Science (6)
Title: Factors...Multiples...Game On!
Description:

The Illuminations tool, Product Game, is an excellent resource for students to gain a deeper understanding of factors and multiples. This tool challenges students to make offensive and defensive moves to obtain four products in a row by selecting factors ranging from one to nine. The challenge comes when one of the factors must be from your opponent’s last move. Students can either play against the computer or with a partner in their class.

GCF Venn Diagrams

Product Game Reflection




ALEX Learning Activities: 1

Go To Top of page
ALEX Classroom Resources  
   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.
Subject: Mathematics (6)
Title: Grade 6 Mathematics Module 2, Topic D: Number Theory--Thinking Logically About Multiplicative Arithmetic
URL: https://www.engageny.org/resource/grade-6-mathematics-module-2-topic-d-overview
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.   



   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] (5) 9 :
9. Model and solve real-word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the reasonableness of answers.

Example: Recognize an incorrect result 2/51/23/7 by observing that 3/7 < 1/2.
[MA2019] (5) 10 :
10. Add and subtract fractions and mixed numbers with unlike denominators, using fraction equivalence to calculate a sum or difference of fractions or mixed numbers with like denominators.
[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.
Subject: Mathematics (5 - 6)
Title: Add & Subtract With Unlike Denominators StudyJam
URL: https://studyjams.scholastic.com/studyjams/jams/math/fractions/add-sub-unlike-denom.htm
Description:

In this interactive activity, students will be led through steps to add and subtract fractions with unlike denominators. There are teaching activities as well as practice activities available. A handout that reviews the strategies taught in the activity can be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.



ALEX Classroom Resources: 3

Go To Top of page