3 The student The student correctly The student answers The student correctly incorrectly answers answers one part one part correctly answers using any 4.OA.3 both parts and shows and shows little but shows solid place value strategy: no reasoning. reasoning. reasoning in both 4.NBT.5 400 problems, or the 4.NBT.6 Each teacher student shows some received 72 reasoning with pencils. correct answers for both parts. 4 The student The student The student The student correctly incorrectly incorrectly solves the decomposes decomposes and 4.NBT.6 represents division numeric equation incorrectly in one divides using the using number disks but shows some place value or does number disks and and incorrectly understanding of the not interpret the provides a numerical solves numerically. place value chart and remainder. answer of 142 with a use of the algorithm. remainder of 1. 5 The student answers The student correctly The student correctly The student solves all fewer than two parts solves two parts solves three parts parts correctly using 4.NBT.6 correctly showing showing little with understanding any place value little to no evidence evidence of place of place value strategy: of place value value strategies. strategies, or the 1,772 strategies. student correctly 761 with a solves all four parts remainder of 4 but does not show 1,624 solid evidence of place value 731 understanding. 6 The student The student correctly The student answers The student correctly incorrectly answers answers two of four all four parts answers all four parts 4.MD.3 two or more of the parts, showing some correctly but shows showing solid four parts, showing reasoning. little reasoning in evidence of place 4.OA.1 little to no reasoning. Part (a), or the value understanding: 4.OA.2 student answers 1,638 square 4.OA.3 three of four parts meters of 4.NBT.5 correctly showing flooring 4.NBT.6 solid reasoning and (estimate 40 × understanding 40 = 1,600 mathematically. square m). It is a reasonable because the answer and estimate have a difference of only 38 square
3 4.OA.3 4.NBT.5 4.NBT.6 The student incorrectly answers both parts and shows no reasoning. The student correctly answers one part and shows little reasoning. The student answers one part correctly but shows solid reasoning in both problems, or the student shows some reasoning with correct answers for both parts. The student correctly answers using any place value strategy: 400 Each teacher received 72 pencils. 4 4.NBT.6 The student incorrectly represents division using number disks and incorrectly solves numerically. The student incorrectly solves the numeric equation but shows some understanding of the place value chart and use of the algorithm. The student decomposes incorrectly in one place value or does not interpret the remainder. The student correctly decomposes and divides using the number disks and provides a numerical answer of 142 with a remainder of 1. 5 4.NBT.6 The student answers fewer than two parts correctly showing little to no evidence of place value strategies. The student correctly solves two parts showing little evidence of place value strategies. The student correctly solves three parts with understanding of place value strategies, or the student correctly solves all four parts but does not show solid evidence of place value understanding. The student solves all parts correctly using any place value strategy: 1,772 761 with a remainder of 4 1,624 731 6 4.MD.3 4.OA.1 4.OA.2 4.OA.3 4.NBT.5 4.NBT.6 The student incorrectly answers two or more of the four parts, showing little to no reasoning. The student correctly answers two of four parts, showing some reasoning. The student answers all four parts correctly but shows little reasoning in Part (a), or the student answers three of four parts correctly showing solid reasoning and understanding mathematically. The student correctly answers all four parts showing solid evidence of place value understanding: 1,638 square meters of flooring (estimate 40 × 40 = 1,600 square m). It is a reasonable because the answer and estimate have a difference of only 38 square