In the field of computer science, there are two approaches to solving a problem. One, being Brute Force, which is the method of just working out the problem until it is solved. This can be related to students with the idea of never giving up, or "I think I can, I think I can". Divide and Conquer is a problem solving method that braeks a larger problem into smaller problems. For example, if you have a big chore such as cleaning a house, start with one room at a time. This lesson applies these two methods to mathematics by using Brute Force to find multiples and common multiple of numbers. While the Divide and Conquer method is applied to fiding factors of a number through divisibility rules. 

Determining factors, common factors, and greatest common factor Mathematics Instructional Plans (MIPs) help teachers align instruction with the 2016 Mathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom.

In this 43-day module, students use place value understanding and visual representations to solve multiplication and division problems with multi-digit numbers. As a key area of focus for Grade 4, this module moves slowly but comprehensively to develop student's ability to reason about the methods and models chosen to solve problems with multi-digit factors and dividends.
To access this resource, you will need to create a free account for the system on which it resides. The partner provides personalized features on their site such as bookmarking and highlighting which requires a user account.

In Module 2, students complete their understanding of the four operations as they study division of whole numbers, division by a fraction, and operations on multi-digit decimals. This expanded understanding serves to complete their study of the four operations with positive rational numbers, thereby preparing students for understanding, locating, and ordering negative rational numbers (Module 3) and algebraic expressions (Module 4).
To access this resource, you will need to create a free account for the system on which it resides. The partner provides personalized features on their site such as bookmarking and highlighting which requires a user account.

Determining multiples, common multiples, and least common multiple Mathematics Instructional Plans (MIPs) help teachers align instruction with theMathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom.

Describing the relationships between common multiples and factors of a given number and finding the least common factor and greatest common multiple of no more than three numbers.  Mathematics Instructional Plans (MIPs) help teachers align instruction with the  Mathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom.