Resource Sheet 4B Arrays/Area Problems from CCSSM page89 There are 3 rows of apples with 6 apples in each row. How many apples are there? If 18 apples are arranged into 3 equal rows, how many apples will be in each row? If 18 apples are arranged into equal rows of 6 apples, how many rows will there be? There are 3 rows of apples with 6 apples in each row. How many apples are there? If 18 apples are arranged into 3 rows, how many apples will be in each row? If 18 apples are arranged into equal rows of 6 apples, how many rows will there be? There are 3 rows of apples with 6 apples in each row. How many apples are there? If 18 apples are arranged into 3 equal rows, how many apples will be in each row? If 18 apples are arranged into rows of 6 apples, how many rows will there be?
There are 3 rows of apples with 6 apples in each row. How many apples are there? If 18 apples are arranged into 3 rows, how many apples will be in each row? If 18 apples are arranged into equal rows of 6 apples, how many rows will there be? Resource Sheet 4C Compare Problems from CCSSM page89 A blue hat $6. A red hat costs 3 times as much as the blue hat. How much does the red hat cost? A red hat costs $18 and that is 3 times as much as a blue hat costs. How much does a blue hat cost? A red hat costs $18 and a blue hat costs $6. How many times as much does the red hat cost as the blue hat? A blue hat costs $6. A red hat costs 3 times as much as the blue hat. How much does the red hat cost? A red hat costs $18 and that is 3 times as much as a blue hat costs. How much does a blue hat cost? A red hat costs $18 and a blue hat costs $6. How many times as much does the red hat cost as the blue hat?
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.