# Northborough

Districts Schools

# 2023 Item by Item Results for GRADE 07 MATHEMATICS

## Number of Students Included: 191     Participation Rate = 98.00%

 Northborough - GRADE 07 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 RP 7.RP.A.2 Determine which proportion can be used to find a missing value, given a scale. 1 69% 59% 10 2 SR EE 7.EE.A.1 Determine which expression represents a factored form of a given expression. 1 68% 60% 8 3 SA SP 7.SP.C.6 Approximate the probability of a chance event by analyzing its long-run relative frequency, given the relative frequency of a spinner. 1 69% 52% 17 4 CR RP 7.RP.A.1 Determine unit rates associated with ratios of fractions and use them to solve real-world problems. 4 59% 47% 12 5 SR EE 7.EE.B.4 Determine which solution satisfies given simple equations. 1 86% 75% 11 6 SR GE 7.G.A.3 Determine which statement correctly describes a way that a three-dimensional figure could be sliced to result in a given two-dimensional shape. 1 42% 39% 3 7 SR NS 7.NS.A.2 Determine a decimal equivalent of a given fraction. 1 53% 55% -2 8 SR SP 7.SP.B.4 Determine the possible mean and mean absolute deviation for two sets of data in a real-world context. 1 61% 51% 10 9 SA EE 7.EE.B.4 Extend a pattern to find a number in the pattern, and choose an expression that represents the general rule of the pattern. 2 48% 44% 4 10 SR EE 7.EE.A.2 Determine which expressions are equivalent to a verbal description of a real-world context. 1 47% 38% 9 11 SR EE 7.EE.B.4 Determine which inequality, in the form px+q 1 73% 61% 12 12 SR EE 7.EE.B.3 Solve a multi-step, real-world problem involving percent increases with money. 1 55% 48% 7 13 CR NS 7.NS.A.3 Use operations on integers and rational numbers to solve a real-world problem. 4 45% 37% 8 14 SR SP 7.SP.C.8 Identify the outcomes in a sample space represented by a tree diagram. 1 53% 37% 16 15 SR GE 7.G.A.2 Determine whether the given conditions of a triangle represent a unique triangle, more than one triangle, or no triangle. 1 41% 35% 6 16 SA SP 7.SP.C.5 Determine the likelihood of events occurring based on the probability of a list of chance events. 1 57% 41% 16 17 SR GE 7.G.B.4 Determine the radius and the area given the diameter of a circle. 1 39% 42% -3 18 SR SP 7.SP.B.3 Determine the difference of the ranges of data displayed in a double box plot. 1 48% 40% 8 19 SR RP 7.RP.A.3 Use proportional relationships to solve a multi-step ratio problem. 1 46% 34% 12 20 SR GE 7.G.B.5 Identify angles in a diagram that represent vertical angles. 1 48% 39% 9 21 SA RP 7.RP.A.1 Determine the unit rate associated with ratios of fractions, and use the unit rate to solve a real-world problem. 1 51% 43% 8 22 SR EE 7.EE.B.3 Determine the reasonableness of an estimated solution to a real-world problem using rational numbers expressed as whole numbers, fractions, and percentages. 1 49% 38% 11 23 SR EE 7.EE.A.1 Determine which expression is equivalent to a given expression. 1 65% 54% 11 24 SA EE 7.EE.B.3 Solve a real-world problem using operations with rational numbers. 1 39% 29% 10 25 CR SP 7.SP.C.8 Find the probability of a compound event using a tree diagram and simulation, and make an organized list based on the simulation. 4 47% 37% 10 26 SR NS 7.NS.A.3 Solve a real-world problem involving the four operations with positive and negative integers using elevation as a context. 1 43% 37% 6 27 SA NS 7.NS.A.1 Determine the solution of an equation involving subtraction of two rational numbers, and plot the solution on a number line. 1 49% 36% 13 28 SR NS 7.NS.A.2 Convert a rational number to a decimal. 1 64% 41% 23 29 SR RP 7.RP.A.2 Determine which table represents a proportional relationship between two quantities. 1 41% 37% 4 30 SA NS 7.NS.A.1 Determine the value of an expression containing positive and negative mixed numbers. 1 47% 36% 11 31 SR NS 7.NS.A.3 Solve a multi-step, real-world problem by converting units. 1 63% 57% 6 32 SR SP 7.SP.B.4 Determine which comparative statement involving the mean and the range within a real-world context is true based on given data. 1 41% 40% 1 33 SA EE 7.EE.A.1 Determine which expression is equivalent to a given expression. 1 62% 49% 13 34 SR SP 7.SP.C.7 Determine the probability of an event using a uniform probability model. 1 69% 56% 13 35 SR RP 7.RP.A.2 Determine which proportion represents a given verbal description of a proportional relationship. 1 50% 37% 13 36 SA NS 7.NS.A.3 Solve a real-world problem involving the four operations. 1 55% 42% 13 37 CR GE 7.G.A.1 Identify and apply a scale to determine the dimensions and areas of rectangles given in a real-world context. 4 36% 32% 4 38 SA RP 7.RP.A.2 Interpret the proportional relationship shown in a graph, use it to create an equation, and solve a problem. 2 67% 61% 6 39 SR EE 7.EE.A.2 Determine which expressions can be used to represent a real-world situation. 1 65% 63% 2 40 SA EE 7.EE.B.3 Solve a real-world, multi-step problem involving mixed numbers, percentages, and whole numbers. 1 43% 31% 12