# Northborough

Districts Schools

# 2023 Item by Item Results for GRADE 05 MATHEMATICS

## Number of Students Included: 172     Participation Rate = 99.00%

 Northborough - GRADE 05 MATHEMATICS ITEM INFORMATION PERCENT OF DISTRICT'S POSSIBLE POINTS ITEM TYPE REPORTING CATEGORY STANDARD ITEM DESC POSSIBLE POINTS NORTHBOROUGH STATE DISTRICT-STATE DIFFERENCE 1 SR NF 5.NF.B.5 In a multiplication problem involving a whole number and a fraction, determine which numerators in one factor will make the product greater than the whole number. 1 81% 70% 11 2 SA GE 5.G.A.2 Graph points on a coordinate plane given the coordinate pairs that represent the points. 1 66% 66% 0 3 SR NT 5.NBT.A.4 Round a given decimal number in thousandths to the nearest hundredth. 1 68% 61% 7 4 SR NT 5.NBT.A.1 Determine the relationship of the value of a digit in one number compared to the value of that digit in another number. 1 47% 36% 11 5 CR MD 5.MD.C.5 Determine the volumes of right rectangular prisms and find the possible dimensions of a prism with a given volume. 4 60% 45% 15 6 SR NT 5.NBT.A.3 Compare decimals to thousandths that are given in standard form. 1 72% 64% 8 7 SR NF 5.NF.B.7 Determine the real-world problem that can be represented by a given expression with a whole number divided by a fraction. 1 67% 59% 8 8 CR OA 5.OA.B.3 Extend two given patterns in a real-world problem and use the relationship between the two patterns to help solve the real-world problem. 4 53% 47% 6 9 SR NT 5.NBT.A.2 Match numbers written as powers of ten with their equivalent value written in number form. 1 73% 62% 11 10 SR NT 5.NBT.A.3 Identify the equivalent word form of a number given in expanded form. 1 70% 66% 4 11 SR GE 5.G.B.4 Describe the hierarchy of a given two-dimensional figure and determine which mathematical names describe a shape with a given set of attributes. 2 49% 45% 4 12 SR OA 5.OA.A.1 Evaluate an expression with two sets of parentheses. 1 38% 38% 0 13 SA NF 5.NF.B.3 Interpret a fraction as division of the numerator by the denominator. 1 63% 57% 6 14 SR NT 5.NBT.B.7 Divide a decimal to hundredths by a whole number. 1 74% 65% 9 15 SA NF 5.NF.B.4 Use a given area model to determine the area of a rectangle with fractional side lengths. 1 55% 48% 7 16 SA MD 5.MD.A.1 Solve a multi-step, real-world word problem by converting ounces to pounds. 1 37% 34% 3 17 SR NF 5.NF.B.6 Multiply a fraction by a mixed number to solve a word problem. 1 41% 36% 5 18 SR MD 5.MD.C.4 Determine whether the volumes of figures are greater or less than a given volume by counting unit cubes. 1 68% 61% 7 19 SA NT 5.NBT.B.6 Determine the quotient of a four-digit dividend and a two-digit divisor. 1 63% 52% 11 20 SA NF 5.NF.A.2 Create a fraction model to show the solution to a word problem involving the sum of two fractions with different denominators. 1 57% 40% 17 21 SR MD 5.MD.C.4 Determine the volume of a figure by counting cubes with dimensions in non-standard units. 1 74% 70% 4 22 SR GE 5.G.B.3 Identify which of a set of given shapes are parallelograms. 1 66% 60% 6 23 SR NT 5.NBT.B.7 Determine the product, sum, and difference of two decimals to hundredths. 1 75% 66% 9 24 SA NT 5.NBT.B.6 Determine the quotient of a three-digit dividend and a two-digit divisor. 1 60% 51% 9 25 SR OA 5.OA.A.2 Select the numerical expression, with parentheses, that represents a given word expression. 1 47% 33% 14 26 SR NF 5.NF.B.3 Solve a word problem involving division of two whole numbers leading to a mixed number answer. 1 58% 41% 17 27 SA NF 5.NF.A.1 Determine the sum of two fractions with unlike denominators. 1 51% 42% 9 28 SR OA 5.OA.A.1 Determine which expression with parentheses has an equivalent value if the parentheses are removed. 1 64% 59% 5 29 SR NF 5.NF.B.4 Determine the real-world problem that represents the product of a unit fraction and a whole number. 1 56% 55% 1 30 SR MD 5.MD.C.4 Determine the volume of a right rectangular prism by counting unit cubes. 1 84% 75% 9 31 SR GE 5.G.A.1 Describe the relationships between the coordinates of a given point graphed on a coordinate plane and the origin in terms of the x- and y-axes. 1 81% 73% 8 32 SR NT 5.NBT.A.3 Identify the decimal numbers that can be used to complete a comparison with a given decimal number to thousandths. 1 65% 53% 12 33 SR NF 5.NF.B.6 Solve a real-world problem by multiplying a mixed number and a fraction. 1 47% 38% 9 34 CR NF 5.NF.B.5 Identify a product greater than one factor based on the size of the other factor, determine factors that will give a product that is equal to the other factor, and reason about the size of products based on the size of the factors. 4 67% 59% 8 35 CR NT 5.NBT.A.2 Use the patterns in the number of zeros and the decimal point in decimal numbers to find products and quotients when multiplying and dividing by a power of 10. 4 64% 52% 12 36 SR NT 5.NBT.B.5 Solve a world problem involving multiplying a three-digit whole number by a three-digit whole number. 1 77% 58% 19 37 SR NT 5.NBT.A.1 Determine the relationship of the value of a digit in one number compared to that digit in another number. 1 67% 48% 19 38 SA MD 5.MD.B.2 Complete a line plot using a given list of data and use information found in a given line plot to add fractions and mixed numbers with like denominators to solve a word problem. 2 51% 43% 8 39 SR OA 5.OA.A.2 Identify a word expression that is equivalent to a given numerical expression that includes parentheses. 1 68% 59% 9 40 SR MD 5.MD.C.5 Determine the volume of a right rectangular prism given the base of the prism, which is packed with cubes. 1 56% 44% 12