FACTORS AND MULTIPLES

Question 6.2

How can factors and multiples be used with ratios to show proportional relationships?

(and in their reasoning, and use the language of ratios and rates to describe relationships)

Suggested Pacing = 26 days

Students build on their work in earlier grades in working with factors and multiples (4.OA.4, 5.NF.4b) as they formalize the concepts and uses of greatest common factor (including the distributive property) and least common multiple. Although students have learned all four operations with multi‐digit whole numbers and decimals in earlier grades, in this unit they formalize the related standard algorithms as they build proficiency and fluency. This unit also introduces students to the concept of a ratio and engages them in using ratio and rate reasoning to solve problems. It builds upon students’ work in earlier grades with whole number multiplication and division. The multiplicative reasoning required for working with proportional relationships cuts across most Grade 6 mathematical content domains.

Essential Learning Outcome #1

◯ Students will use their understanding of factors, multiples, and multiplicative reasoning to work with proportional relationships and ratios. (6.NS.4, 6.RP.1, 6.RP.3) (MP.1, MP.4, MP.6)

Learning Targets:

I can find the greatest common factor of two whole numbers less than or equal to 100. (6.NS.4)
I can find the least common multiple of two whole numbers less than or equal to 12. (6.NS.4)
I can use ratios to compare data. (6.RP.1)