# Hopkinton

Districts Schools

## 2019 Item by Item Results for GRADE 08 MATHEMATICS

### Number of Students Included: 313

 Hopkinton - GRADE 08 MATHEMATICS ITEM INFORMATION PERCENT OF DISTRICT'S POSSIBLE POINTS ITEM TYPE REPORTING CATEGORY STANDARD ITEM DESC POSSIBLE POINTS HOPKINTON STATE DISTRICT-STATE DIFFERENCE 1 SA NSEE 8.EE.A.4 Convert a number given in scientific notation to a number in standard notation. 1 88% 68% 20 2 SR NSEE 8.NS.A.2 Identify a point on a number line that corresponds to the approximate location of an irrational number. 1 86% 62% 24 3 SR NSEE 8.EE.A.1 Use the properties of integer exponents to determine an expression equivalent to a given expression. 1 80% 63% 17 4 SR NSEE 8.EE.C.7 Determine the solution to a linear equation by using the distributive property. 1 74% 47% 27 5 CR FN 8.F.A.2 Compare properties of two different functions, representing real-world contexts, graphically and verbally; write equations that represent functions. 4 84% 65% 19 6 SR NSEE 8.NS.A.2 Determine the location of an irrational number between two rational numbers on a number line. 1 82% 60% 22 7 SR NSEE 8.EE.A.3 Determine how many times greater one number is than another when both are expressed as single digits multiplied by integer powers of ten. 1 60% 44% 16 8 SA NSEE 8.EE.A.1 Apply the properties of integer exponents to simplify a given expression. 1 55% 23% 32 9 SR NSEE 8.EE.C.7 Solve a pair of linear equations expressed as verbal descriptions. 1 82% 70% 12 10 SR GE 8.G.A.5 Determine the measure of an unknown angle in a figure containing two parallel lines cut by a transversal. 1 90% 79% 11 11 SA GE 8.G.B.7 Choose side lengths to create a right triangle. 1 85% 67% 18 12 SR GE 8.G.A.3 Determine the coordinates of the image of a vertex of a polygon after the polygon has been reflected over the x-axis. 1 96% 83% 13 13 SA GE 8.G.A.5 Given parallel lines cut by a transversal, select all angles that must be congruent to one of the angles. 1 88% 72% 16 14 SR NSEE 8.EE.B.5 Interpret and compare proportional relationships on a graph, and identify an equation to represent the relationship. 1 71% 55% 16 15 CR SP 8.SP.A.4 Interpret a two-way table to answer statistical questions about categorical data collected from the same subjects. 4 55% 39% 16 16 SA GE 8.G.A.3 Transform a two-dimensional figure on a coordinate plane. 1 89% 70% 19 17 SR GE 8.G.C.9 Determine the volume of a sphere. 1 81% 57% 24 18 SR FN 8.F.B.5 Analyze a graph of a functional relationship to determine if different statements are true; then select another graph that exhibits a different qualitative feature of the functional relationship. 2 57% 32% 25 19 SR GE 8.G.B.8 Determine the length of a side of a right triangle graphed on the coordinate plane by using the Pythagorean Theorem. 1 53% 38% 15 20 SR GE 8.G.A.4 Determine which measurements belong to a triangle similar to a given triangle. 1 80% 58% 22 21 SR SP 8.SP.A.1 Determine which scatter plot matches a given description that includes information about linearity and direction of correlation. 1 96% 88% 8 22 SR NSEE 8.EE.A.1 Determine which expression with an exponent is equivalent to a given expression featuring multiplication of two numbers with the same base but different exponents. 1 78% 59% 19 23 SR NSEE 8.NS.A.2 Determine between which pair of integers a square root of a given number lies. 1 93% 71% 22 24 CR NSEE 8.EE.C.8 Given the graph of a system of linear equations, solve the system, write the equation of a graphed line, and determine whether a third line passing through two given points will intersect the line. 4 74% 49% 25 25 SA NSEE 8.NS.A.1 Convert a fraction to a decimal. 1 48% 30% 18 26 SA NSEE 8.EE.A.1 Apply the properties of integer exponents to generate an equivalent expression when one exponent is positive and the other exponent is negative. 1 85% 60% 25 27 SR FN 8.F.B.4 Determine the rate of change from a verbal description of a proportional relationship, and use that rate of change to solve a real-world problem. 1 68% 55% 13 28 SR NSEE 8.EE.A.1 Use the properties of integer exponents to determine an expression equivalent to a given expression. 1 63% 40% 23 29 SA NSEE 8.EE.B.5 Graph a real-world proportional relationship and identify an equation to represent a related relationship. 2 85% 74% 11 30 SA FN 8.F.B.5 Analyze a graph where a function is increasing and decreasing. 1 57% 38% 19 31 SA NSEE 8.EE.A.3 Given two quantities, each expressed as a single digit multiplied by an integer power of ten, determine how many times as much one quantity is than the other. 1 68% 44% 24 32 SR SP 8.SP.A.3 Interpret the meaning of the slope in a linear equation. 1 66% 48% 18 33 SR GE 8.G.A.3 Determine the coordinates of the image of a vertex of a polygon after the polygon has been reflected over the y-axis. 1 86% 73% 13 34 SR FN 8.F.A.2 Compare properties of two functions represented algebraically and in a table and interpret each function's rate of change and initial value. 1 80% 68% 12 35 CR GE 8.G.A.1 Given a polygon and its image after a transformation, verify congruence by analyzing properties of both; describe a series of transformations that would result in the same image of the polygon. 4 70% 47% 23 36 SR FN 8.F.B.4 Determine which graph has a given slope. 1 90% 72% 18 37 SR GE 8.G.B.7 Use the Pythagorean Theorem to solve a problem with real-world context. 1 84% 65% 19 38 SA GE 8.G.A.2 Determine the measure of an unknown angle in a figure by using facts about similarity. 1 67% 41% 26 39 SR FN 8.F.A.1 Identify y as a function of x from given input/output tables. 1 67% 35% 32 40 SR GE 8.G.A.5 Determine which angles are congruent when two parallel lines are intersected by a transversal. 1 92% 79% 13