# Fitchburg

Districts Schools ## 2019 Item by Item Results for GRADE 08 MATHEMATICS

### Number of Students Included: 403

 Fitchburg - GRADE 08 MATHEMATICS ITEM INFORMATION PERCENT OF DISTRICT'S POSSIBLE POINTS ITEM TYPE REPORTING CATEGORY STANDARD ITEM DESC POSSIBLE POINTS FITCHBURG 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 63% 68% -5 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 45% 62% -17 3 SR NSEE 8.EE.A.1 Use the properties of integer exponents to determine an expression equivalent to a given expression. 1 53% 63% -10 4 SR NSEE 8.EE.C.7 Determine the solution to a linear equation by using the distributive property. 1 24% 47% -23 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 50% 65% -15 6 SR NSEE 8.NS.A.2 Determine the location of an irrational number between two rational numbers on a number line. 1 44% 60% -16 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 35% 44% -9 8 SA NSEE 8.EE.A.1 Apply the properties of integer exponents to simplify a given expression. 1 17% 23% -6 9 SR NSEE 8.EE.C.7 Solve a pair of linear equations expressed as verbal descriptions. 1 61% 70% -9 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 63% 79% -16 11 SA GE 8.G.B.7 Choose side lengths to create a right triangle. 1 60% 67% -7 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 67% 83% -16 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 53% 72% -19 14 SR NSEE 8.EE.B.5 Interpret and compare proportional relationships on a graph, and identify an equation to represent the relationship. 1 43% 55% -12 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 30% 39% -9 16 SA GE 8.G.A.3 Transform a two-dimensional figure on a coordinate plane. 1 58% 70% -12 17 SR GE 8.G.C.9 Determine the volume of a sphere. 1 30% 57% -27 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 23% 32% -9 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 37% 38% -1 20 SR GE 8.G.A.4 Determine which measurements belong to a triangle similar to a given triangle. 1 42% 58% -16 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 85% 88% -3 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 58% 59% -1 23 SR NSEE 8.NS.A.2 Determine between which pair of integers a square root of a given number lies. 1 53% 71% -18 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 36% 49% -13 25 SA NSEE 8.NS.A.1 Convert a fraction to a decimal. 1 13% 30% -17 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 48% 60% -12 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 46% 55% -9 28 SR NSEE 8.EE.A.1 Use the properties of integer exponents to determine an expression equivalent to a given expression. 1 31% 40% -9 29 SA NSEE 8.EE.B.5 Graph a real-world proportional relationship and identify an equation to represent a related relationship. 2 65% 74% -9 30 SA FN 8.F.B.5 Analyze a graph where a function is increasing and decreasing. 1 28% 38% -10 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 29% 44% -15 32 SR SP 8.SP.A.3 Interpret the meaning of the slope in a linear equation. 1 34% 48% -14 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 58% 73% -15 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 59% 68% -9 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 32% 47% -15 36 SR FN 8.F.B.4 Determine which graph has a given slope. 1 60% 72% -12 37 SR GE 8.G.B.7 Use the Pythagorean Theorem to solve a problem with real-world context. 1 46% 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 26% 41% -15 39 SR FN 8.F.A.1 Identify y as a function of x from given input/output tables. 1 30% 35% -5 40 SR GE 8.G.A.5 Determine which angles are congruent when two parallel lines are intersected by a transversal. 1 65% 79% -14