# Brookline

Districts Schools ## 2017 Item by Item Results for GRADE 08 MATHEMATICS

### Number of Students Included: 501     Mode: Online

 Brookline - GRADE 08 MATHEMATICS ITEM INFORMATION PERCENT OF DISTRICT'S POSSIBLE POINTS ITEM TYPE REPORTING CATEGORY STANDARD ITEM DESC POSSIBLE POINTS BROOKLINE STATE DISTRICT-STATE DIFFERENCE 1 SA FN 8.F.1.A.1 Complete a given input-output table given that the relationship is not a function. 1 70% 41% 29 2 CR EE 8.EE.1.A.3 Solve a multi-step real-world problem involving single-digit numbers multiplied by powers of 10 and the relationships among them. 4 62% 36% 26 3 SR SP 8.SP.1.A.4 Interpret a given two-way table and select the relative frequency based on a given real-world context. 1 78% 59% 19 4 SR GE 8.G.2.B.7 Apply Pythagorean Theorem to determine unknown lengths in a real-world context. 1 92% 77% 15 5 SR NS 8.NS.1.A.1 Identify the number that is irrational. 1 52% 29% 23 6 SR EE 8.EE.1.A.2 Find the value of x in a given equation of the form x squared = p. 1 92% 83% 9 7 SR SP 8.SP.1.A.4 Interpret a given two-way table to solve a real-world problem. 1 93% 86% 7 8 SA GE 8.G.1.A.3 Determine the x-coordinate of the vertex of the image of a reflected triangle and select descriptions of relationships between the triangle and its reflection. 2 67% 46% 21 9 SR NS 8.NS.1.A.2 Determine which point on a number line best approximates the location of the square root of a two-digit number. 1 84% 76% 8 10 SR FN 8.F.2.B.4 Solve problems involving finding and interpreting the rate of change, and constructing a function based on a given real-world context. 4 72% 59% 13 11 SR NS 8.NS.1.A.2 Find the range of values for the given square root of a given one-digit whole number. 1 81% 73% 8 12 SA EE 8.EE.3.C.7 Find the value of the unknown variable in a given equation. 1 65% 45% 20 13 SR FN 8.F.2.B.5 Determine which graph represents a function that was described qualitatively. 1 85% 76% 9 14 SR EE 8.EE.1.A.4 Solve a real-world problem that involves performing operations on two numbers expressed in scientific notation. 1 63% 52% 11 15 CR EE 8.EE.2.B.6 Determine the equation of a line and explain how to find the slope and y-intercept. 3 58% 35% 23 16 SR FN 8.F.1.A.3 Determine which equation is linear. 1 66% 48% 18 17 SR GE 8.G.1.A.4 Identify which set of two-dimensional figures illustrates a given sequence of transformations. 2 75% 59% 16 18 SR SP 8.SP.1.A.2 Determine which scatterplot best represents a line of best fit in a real-world context. 1 94% 77% 17 19 SR FN 8.F.2.B.5 Determine which statement best describes a given graph qualitatively. 1 75% 59% 16 20 SA EE 8.EE.2.B.5 Determine and compare two rates of change in a given real-world context. 1 73% 56% 17 21 SR FN 8.F.1.A.1 Determine which ordered pair would make the relationship shown in a table not a function. 1 76% 50% 26 22 SR GE 8.G.1.A.2 Determine the sequence of transformations on a given triangle and select the statement that best describes the congruency between the triangle and its image. 2 81% 65% 16 23 SR FN 8.F.1.A.2 Determine which equation has the same rate of change as a given function that is shown graphically. 1 61% 42% 19 24 SR EE 8.EE.2.B.5 Determine which graph represents a proportional relationship with a given unit rate. 1 82% 62% 20 25 SR GE 8.G.3.C.9 Solve a multi-step real-world problem involving volumes of cylinders and cones. 4 73% 55% 18 26 SR SP 8.SP.1.A.3 Determine which statement describes the slope of a graph in a given real-world context. 1 93% 86% 7 27 SR GE 8.G.1.A.5 Determine which angles must be congruent to a given angle when parallel lines are cut by a transversal. 1 90% 76% 14 28 CR EE 8.EE.3.C.8 Determine which graph shows the solutions to a given system of equations, and explain the possible number of solutions the given line can have. 3 50% 28% 22 29 SR GE 8.G.1.A.4 Determine the sequence of transformations on a given trapezoid, and select a trapezoid that is similar to the transformed trapezoid. 2 90% 77% 13 30 SA GE 8.G.1.A.1 Determine the measure of a given angle after rotation. 1 74% 45% 29 31 SR EE 8.EE.2.B.6 Determine which statement best compares the slopes of three given lines on a coordinate plane. 1 87% 69% 18 32 SA SP 8.SP.1.A.4 Complete a two-way table to solve a real-world problem. 1 85% 68% 17 33 SA GE 8.G.2.B.8 Apply Pythagorean Theorem to determine distance between two vertices of a rectangle shown on a coordinate plane. 1 74% 42% 32 34 CR FN 8.F.2.B.4 Solve multi-step problems involving interpreting a given graph, finding the rate of change, and constructing a function based on a given real-world context. 4 71% 47% 24

### Number of Students Included: 15     Mode: Paper

 Brookline - GRADE 08 MATHEMATICS ITEM INFORMATION PERCENT OF DISTRICT'S POSSIBLE POINTS ITEM TYPE REPORTING CATEGORY STANDARD ITEM DESC POSSIBLE POINTS BROOKLINE STATE DISTRICT-STATE DIFFERENCE 1 SA FN 8.F.1.A.1 Complete a given input-output table given that the relationship is not a function. 1 47% 2 CR EE 8.EE.1.A.3 Solve a multi-step real-world problem involving single-digit numbers multiplied by powers of 10 and the relationships among them. 4 15% 3 SR SP 8.SP.1.A.4 Interpret a given two-way table and select the relative frequency based on a given real-world context. 1 60% 4 SR GE 8.G.2.B.7 Apply Pythagorean Theorem to determine unknown lengths in a real-world context. 1 67% 5 SR NS 8.NS.1.A.1 Identify the number that is irrational. 1 13% 6 SR EE 8.EE.1.A.2 Find the value of x in a given equation of the form x squared = p. 1 60% 7 SR SP 8.SP.1.A.4 Interpret a given two-way table to solve a real-world problem. 1 53% 8 SA GE 8.G.1.A.3 Determine the x-coordinate of the vertex of the image of a reflected triangle and select descriptions of relationships between the triangle and its reflection. 2 33% 9 SR NS 8.NS.1.A.2 Determine which point on a number line best approximates the location of the square root of a two-digit number. 1 53% 10 SR FN 8.F.2.B.4 Solve problems involving finding and interpreting the rate of change, and constructing a function based on a given real-world context. 4 52% 11 SR NS 8.NS.1.A.2 Find the range of values for the given square root of a given one-digit whole number. 1 47% 12 SA EE 8.EE.3.C.7 Find the value of the unknown variable in a given equation. 1 7% 13 SR FN 8.F.2.B.5 Determine which graph represents a function that was described qualitatively. 1 53% 14 SR EE 8.EE.1.A.4 Solve a real-world problem that involves performing operations on two numbers expressed in scientific notation. 1 60% 15 CR EE 8.EE.2.B.6 Determine the equation of a line and explain how to find the slope and y-intercept. 3 31% 16 SR FN 8.F.1.A.3 Determine which equation is linear. 1 13% 17 SR GE 8.G.1.A.4 Identify which set of two-dimensional figures illustrates a given sequence of transformations. 2 40% 18 SR SP 8.SP.1.A.2 Determine which scatterplot best represents a line of best fit in a real-world context. 1 67% 19 SR FN 8.F.2.B.5 Determine which statement best describes a given graph qualitatively. 1 53% 20 SA EE 8.EE.2.B.5 Determine and compare two rates of change in a given real-world context. 1 27% 21 SR FN 8.F.1.A.1 Determine which ordered pair would make the relationship shown in a table not a function. 1 53% 22 SR GE 8.G.1.A.2 Determine the sequence of transformations on a given triangle and select the statement that best describes the congruency between the triangle and its image. 2 63% 23 SR FN 8.F.1.A.2 Determine which equation has the same rate of change as a given function that is shown graphically. 1 53% 24 SR EE 8.EE.2.B.5 Determine which graph represents a proportional relationship with a given unit rate. 1 60% 25 SR GE 8.G.3.C.9 Solve a multi-step real-world problem involving volumes of cylinders and cones. 4 38% 26 SR SP 8.SP.1.A.3 Determine which statement describes the slope of a graph in a given real-world context. 1 67% 27 SR GE 8.G.1.A.5 Determine which angles must be congruent to a given angle when parallel lines are cut by a transversal. 1 60% 28 CR EE 8.EE.3.C.8 Determine which graph shows the solutions to a given system of equations, and explain the possible number of solutions the given line can have. 3 27% 29 SR GE 8.G.1.A.4 Determine the sequence of transformations on a given trapezoid, and select a trapezoid that is similar to the transformed trapezoid. 2 10% 30 SA GE 8.G.1.A.1 Determine the measure of a given angle after rotation. 1 20% 31 SR EE 8.EE.2.B.6 Determine which statement best compares the slopes of three given lines on a coordinate plane. 1 47% 32 SA SP 8.SP.1.A.4 Complete a two-way table to solve a real-world problem. 1 67% 33 SA GE 8.G.2.B.8 Apply Pythagorean Theorem to determine distance between two vertices of a rectangle shown on a coordinate plane. 1 40% 34 CR FN 8.F.2.B.4 Solve multi-step problems involving interpreting a given graph, finding the rate of change, and constructing a function based on a given real-world context. 4 35%

Notes: State results in grades 4 and 8 ELA and mathematics in 2017 are not generated for paper-based testing because the majority of students participated in computer-based testing.