Teacher Resource Sheet 4C Group Size Unknown number of Groups Unknown Unknown Product (“How many in each group?” (“How many groups?” Division) Division) × × ÷ × ÷ 4 8 = ? 4 ? = 32, and 32 4 = ? ? 8 = 32, and 32 8 = ? If 32 apples are shared equally There are 4 bags with 8 apples If 32 apples are to be packed 8 equal into 4 bags, then how many apples will be in each bag. How many apples are in to a bag, then how many bags are Groups in each bag? all? needed? arrays,4 are 7 rows of apples If 28 apples are arranged into 7 If 28 apples are arranged into area5 with 4 apples in each row. equal rows, how many apples will be in equal rows of 4 apples, how many rows How many apples are there? each row? will there be? A small goldfish costs $8. A large goldfish A large goldfish costs $32 and that is A large goldfish costs $32 and a small Compare costs 4 times as much as the 4 times as much as a small goldfish goldfish costs $8. How many times Small goldfish. How much does the large costs. How much does small goldfish cost? as much does the large goldfish cost as goldfish cost? the small goldfish? a b = ? a ? = p and p ÷a = ? ? b = p and p ÷b = ? General language in the array examples shows the easiest form of array problems. A harder form is to use the terms rows and columns: The apples in the 4The grocery window are in 3 rows and 6 columns. How many apples are in there? Both forms are valuable. involves arrays of squares that have been pushed together so that there are no gaps or overlaps, so array problems 5Area include these especially important measurement situations. Adapted from CCSS Table 2, page 89.
Teacher Resource Sheet 4C Unknown Product Group Size Unknown (“How many in each group?” Division) number of Groups Unknown (“How many groups?” Division) 4 × 8 = ? 4 × ? = 32, and 32 ÷ 4 = ? ? × 8 = 32, and 32 ÷ 8 = ? equal Groups There are 4 bags with 8 apples in each bag. How many apples are in all? If 32 apples are shared equally into 4 bags, then how many apples will be in each bag? If 32 apples are to be packed 8 to a bag, then how many bags are needed? arrays,4 area5 are 7 rows of apples with 4 apples in each row. How many apples are there? If 28 apples are arranged into 7 equal rows, how many apples will be in each row? If 28 apples are arranged into equal rows of 4 apples, how many rows will there be? Compare A small goldfish costs $8. A large goldfish costs 4 times as much as the Small goldfish. How much does the large goldfish cost? A large goldfish costs $32 and that is 4 times as much as a small goldfish costs. How much does small goldfish cost? A large goldfish costs $32 and a small goldfish costs $8. How many times as much does the large goldfish cost as the small goldfish? General a b = ? a ? = p and p ÷a = ? ? b = p and p ÷b = ? 4The language in the array examples shows the easiest form of array problems. A harder form is to use the terms rows and columns: The apples in the grocery window are in 3 rows and 6 columns. How many apples are in there? Both forms are valuable. 5Area involves arrays of squares that have been pushed together so that there are no gaps or overlaps, so array problems include these especially important measurement situations. Adapted from CCSS Table 2, page 89.
M_3_OA_A_3_4_LP_M_DProbls.docx