*For example, express 36 + 8 as 4 (9 + 2).*

**Subject Area:**Mathematics

**Grade:**6

**Domain-Subdomain:**The Number System

**Cluster:**Level 2: Basic Application of Skills & Concepts

**Cluster:**Compute fluently with multi-digit numbers and find common factors and multiples. (Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved

**Assessed:**Yes

**Assessment Limits :**

Whole numbers less than or equal to 100. Least common multiple of two whole numbers less than or equal to 12.**Calculator :**No

**Context :**No context

**Test Item #:**Sample Item 1**Question:**What is the greatest common factor of 15 and 20?

**Difficulty:**N/A**Type:**EE: Equation Editor

**Test Item #:**Sample Item 2**Question:**What is the least common multiple of 7 and 12?

**Difficulty:**N/A**Type:**EE: Equation Editor

**Test Item #:**Sample Item 3**Question:**Which expression is equivalent to 8 + 20?

**Difficulty:**N/A**Type:**MC: Multiple Choice

**Test Item #:**Sample Item 4**Question:**An equation is shown.

What factor is missing from the equation?

**Difficulty:**N/A**Type:**EE: Equation Editor

**Test Item #:**Sample Item 5**Question:**Fill in the bubbles to match the equivalent expression.

**Difficulty:**N/A**Type:**MI: Matching Item

## Related Courses

## Related Access Points

## Related Resources

## Assessments

## Formative Assessments

## Lesson Plans

## Problem-Solving Tasks

## Tutorial

## Video/Audio/Animation

## Virtual Manipulatives

## MFAS Formative Assessments

Students are given two whole numbers less than or equal to 100 and asked to find the greatest common factor.

Students are asked to find the least common multiple of 8 and 12 and to explain how they found their answers.

Students are asked to rewrite 36 + 42 in the form *a*(*b* + *c*) where *a* is the greatest common factor of 36 and 42.

## Student Resources

## Problem-Solving Tasks

The purpose of this task is to gain a better understanding of factors and common factors. Students should use the distributive property to show that the sum of two numbers that have a common factor is also a multiple of the common factor.

Type: Problem-Solving Task

Students are asked to solve a real-world problem involving common multiples.

Type: Problem-Solving Task

## Tutorial

This video demonstrates the prime factorization method to find the lcm (least common multiple).

Type: Tutorial

## Virtual Manipulative

This virtual manipulative will help the students in exploring the prime factorization of numbers and see how to use the factorization of a pair of numbers to find the greatest common factor (GCF) and the least common factor (LCM). In the manipulative, the number pairs are presented randomly, so that a student returning to the factor tree will most likely begin with a pair of numbers not seen before.

Type: Virtual Manipulative

## Parent Resources

## Problem-Solving Tasks

The purpose of this task is to gain a better understanding of factors and common factors. Students should use the distributive property to show that the sum of two numbers that have a common factor is also a multiple of the common factor.

Type: Problem-Solving Task

The purpose of this task requires students to apply the concepts of factors and common factors in a context. A version of this task could be adapted into a teaching task to help motivate the need for the concept of a common factor.

Type: Problem-Solving Task

Students are asked to solve a real-world problem involving common multiples.

Type: Problem-Solving Task

## Virtual Manipulative

This virtual manipulative will help the students in exploring the prime factorization of numbers and see how to use the factorization of a pair of numbers to find the greatest common factor (GCF) and the least common factor (LCM). In the manipulative, the number pairs are presented randomly, so that a student returning to the factor tree will most likely begin with a pair of numbers not seen before.

Type: Virtual Manipulative