Exploring Multiples, Factors, & Patterns
4.OA.C.5. Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule "Add 3" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
4.OA.B.4 Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a
multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.
WHY? In this unit students develop understanding of multiples and factors, applying their understanding of multiplication from the previous year. This understanding lays a strong foundation for generalizing strategies learned in previous grades. Now students develop, discuss, and use efficient, accurate, and generalizable computational strategies that will then be used to solve problems involving multi-digit numbers in later units. The concepts and the terms “prime”, “composite” and “multiples “are new to Grade 4, so they are introduced early in the year to give students ample time to develop and apply this understanding. These standards are taught together because students can use their exploration of number patterns to explore various multiples of each number 0-10. This builds on understanding from third grade as they are expected to know their multiplication facts from memory or have strategies to efficiently find the products.