Proportional Reasoning 3rd – 5th grade Division Proportional Reasoning

Proportional reasoning “The following number talks are included for classes that want to investigate what occurs when you halve and halve or third and third with division instead of doubling and halving as in multiplication. For example, 16 ÷ 8 can be written as 16 8 and students can simplify the quantity to any of the equivalent fractions 8 4 , 4 2 , 𝑜𝑟 2 1 .” Parrish, S. (2010). Number talks: Helping children build mental math and computation strategies, grades K-5. Sausalito, CA: Math Solutions.

100 ÷ 4 200 ÷ 8 400 ÷ 16

172 ÷ 3 144 ÷ 6 288 ÷ 12

720 ÷ 36 360 ÷ 18 60 ÷ 3

250 ÷ 2 500 ÷ 4 1000 ÷ 8

46 ÷ 2 92 ÷ 4 184 ÷ 8

800 ÷ 40 80 ÷ 4 40 ÷ 2

384 ÷ 16 96 ÷ 4 48 ÷ 2

308 ÷ 7 308 ÷ 14 308 ÷ 28