# Northborough

Districts Schools

# 2023 Item by Item Results for GRADE 06 MATHEMATICS

## Number of Students Included: 184     Participation Rate = 100.00%

 Northborough - GRADE 06 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 EE 6.EE.B.5 Solve a two-step equation for an unknown value. 1 76% 64% 12 2 SR NS 6.NS.C.7 Create inequality statements with and without absolute values. 1 49% 67% -18 3 SA RP 6.RP.A.2 Determine the unit rate within a real-world context. 1 72% 61% 11 4 SA EE 6.EE.A.2 Evaluate an expression using substitution. 1 59% 50% 9 5 SR GE 6.G.A.2 Solve a real-world problem involving the volume of a right rectangular prism. 1 47% 41% 6 6 SA SP 6.SP.B.4 Create a histogram based on given data from a real-world situation. 1 61% 54% 7 7 CR NS 6.NS.B.2 Solve a real-world problem by dividing multi-digit numbers. 4 60% 47% 13 8 SR RP 6.RP.A.1 Identify the ratios that represent the relationships between given quantities. 1 71% 61% 10 9 SR RP 6.RP.A.3 Solve a real-world problem that involves finding the part given the percent and the whole. 1 41% 36% 5 10 SR EE 6.EE.A.4 Determine which expression is equivalent to a given variable expression. 1 74% 56% 18 11 SR EE 6.EE.A.3 Use the distributive property to determine equivalent expressions given a variable expression. 1 32% 40% -8 12 SR SP 6.SP.A.3 Determine the best measure of variability for a real-world situation. 1 47% 46% 1 13 SA EE 6.EE.B.6 Write an expression that represents a given real-world context. 1 56% 51% 5 14 CR GE 6.G.A.1 Solve mathematical problems that involve decomposing a figure into a right triangle and a trapezoid to determine the total area of the figure. 4 42% 33% 9 15 SR EE 6.EE.A.1 Translate a given verbal expression to a numerical expression with exponents. 1 59% 50% 9 16 SR SP 6.SP.A.1 Identify multiple statistical questions. 1 60% 65% -5 17 SR RP 6.RP.A.3 Use ratio and rate reasoning to solve a real-world problem. 2 49% 45% 4 18 SR EE 6.EE.A.2 Determine which mathematical expression represents a verbal description. 1 78% 59% 19 19 SR SP 6.SP.B.5 Determine the mean for a set of data represented in a table. 1 61% 44% 17 20 SR EE 6.EE.A.4 Use the distributive property to determine which expressions in a table are equivalent to a given variable expression and which are not. 1 40% 39% 1 21 SR NS 6.NS.C.8 Use absolute value to determine the distance between two points on a coordinate plane given a mathematical context. 1 78% 80% -2 22 SA SP 6.SP.B.5 Identify the number of observations on a histogram. 1 72% 63% 9 23 SR SP 6.SP.A.1 Identify multiple statistical questions. 1 46% 47% -1 24 CR EE 6.EE.B.6 Create and evaluate expressions based on a real-world situation. 4 50% 45% 5 25 SR NS 6.NS.B.2 Determine whether given division equations are true or false. 1 71% 63% 8 26 SA NS 6.NS.C.7 Identify a rational number that is within a range of other rational numbers. 1 78% 69% 9 27 SR GE 6.G.A.4 Use the net of a triangular prism to find its surface area. 1 53% 46% 7 28 SR NS 6.NS.C.6 Determine the value of a given point on a number line. 1 45% 42% 3 29 SR EE 6.EE.C.9 Interpret the relationship between two variables and use the relationship to create an equation. 2 37% 33% 4 30 SA GE 6.G.A.3 Find the length of the side of a polygon by finding the distance between points on a coordinate plane. 1 56% 46% 10 31 SR SP 6.SP.B.4 Determine which histogram represents a given set of data. 1 86% 80% 6 32 SR NS 6.NS.C.8 Identify the location of a given point on a coordinate plane. 1 80% 66% 14 33 CR RP 6.RP.A.3 Using ratio and proportional reasoning, solve real-world problems involving fractions, decimals, percentages, and whole numbers. 4 42% 38% 4 34 SR RP 6.RP.A.2 Determine which ratios are equivalent to a given unit rate. 1 68% 57% 11 35 SR NS 6.NS.C.8 Determine the location of a point on a coordinate plane based on its distance from a given point. 1 59% 49% 10 36 SR SP 6.SP.A.2 Analyze a dot plot using median, mode, and range. 1 63% 58% 5 37 SR EE 6.EE.A.2 Identify expressions using mathematical terms such as sum, product, quotient, and difference. 1 72% 58% 14 38 SR EE 6.EE.A.2 Create a verbal description that represents a mathematical expression. 1 64% 53% 11 39 SR GE 6.G.A.3 Determine the type of a polygon given the coordinates of its vertices. 1 43% 41% 2 40 SR RP 6.RP.A.3 Solve a real-world problem involving percentages. 1 73% 65% 8