## From Wholes to Parts: Operating with Factors, Multiples, and Fractions

Students use the number sense they have developed with whole numbers to begin investigating fractions. Building on whole number concepts of prime factorization and multiples, students develop an understanding of equivalent fractions and common denominators. The unit ends with the exploration and practice of the four basic operations with fractions.

### NCTM Standard: Number and Operations

• Understand numbers, ways of representing numbers, relationships among numbers, and number systems
• Understand meanings of operations and how they relate to one another
• Compute fluently and make reasonable estimates

### Primary Mathematical Goals

• Determine GCF and LCM of given numbers
• Use order of operations to evaluate numerical expressions
• Use order of operations to solve problems
• Write equivalent fractions
• Compare and order fractions
• Find and apply a variety of methods for adding and subtracting fractions
• Find and apply a variety of methods for multiplying and dividing fractions