Southborough - GRADE 08 MATHEMATICS |
ITEM INFORMATION | | PERCENT OF DISTRICT'S POSSIBLE POINTS |
ITEM | TYPE | REPORTING CATEGORY | STANDARD | ITEM DESC | | POSSIBLE POINTS | SOUTHBOROUGH | STATE | DISTRICT-STATE DIFFERENCE |
1 | SR | NSEE | 8.EE.A.2 | Determine the cube root of a given number. | | 1 | 92% | 72% | 20 |
2 | SA | FN | 8.F.A.2 | Compare the initial values of two linear functions, one defined in text and the other in a table. | | 1 | 64% | 32% | 32 |
3 | SR | GE | 8.G.A.4 | Determine which transformations of a figure result in a figure that is either congruent, or similar but not congruent. | | 1 | 40% | 33% | 7 |
4 | SR | NSEE | 8.EE.A.3 | Given two numbers, each expressed as a single digit multiplied by an integer power of 10, determine by what value one of the numbers must be multiplied to obtain the other. | | 1 | 83% | 56% | 27 |
5 | SA | FN | 8.F.A.3 | Determine whether given equations are linear or nonlinear functions. | | 1 | 89% | 41% | 48 |
6 | SA | NSEE | 8.EE.C.8 | Determine one of the values of the solution to a pair of linear equations. | | 1 | 64% | 27% | 37 |
7 | SR | NSEE | 8.NS.A.1 | Determine whether a number is rational or irrational. | | 1 | 45% | 31% | 14 |
8 | CR | NSEE | 8.EE.C.7 | Solve linear equations in one variable and create a linear equation, given the number of solutions. | | 4 | 67% | 33% | 34 |
9 | SA | FN | 8.F.B.4 | Find the missing y-value in a table containing (x, y) values that represent the relationship in a linear function. | | 1 | 100% | 81% | 19 |
10 | SR | NSEE | 8.NS.A.2 | Determine which list orders rational and irrational numbers from least to greatest. | | 1 | 74% | 62% | 12 |
11 | SR | FN | 8.F.B.5 | Determine which graph represents an increasing linear function. | | 1 | 97% | 81% | 16 |
12 | SA | GE | 8.G.B.7 | Write an equation showing the relationship between the side lengths of a right triangle in a real-world context. | | 1 | 68% | 41% | 27 |
13 | SR | GE | 8.G.A.3 | Determine the coordinates of the image of a point on a line segment after the line segment has been reflected over the y-axis. | | 1 | 67% | 40% | 27 |
14 | SA | NSEE | 8.EE.B.6 | Determine the equation of a line, given a point on the line and its y-intercept. | | 1 | 61% | 22% | 39 |
15 | SA | NSEE | 8.EE.B.5 | Graph a proportional relationship based on a real-world context. | | 1 | 89% | 57% | 32 |
16 | SR | GE | 8.G.A.5 | Determine the measures of three angles shown in a diagram consisting of parallel lines intersected by a transversal. | | 1 | 61% | 34% | 27 |
17 | CR | GE | 8.G.A.2 | Describe the transformation on a quadrilateral that produced a given image and demonstrate an understanding of the preservation of congruence. | | 4 | 43% | 36% | 7 |
18 | SA | FN | 8.F.A.1 | Determine which graphs represent functions, and find the missing x-value in a table of (x, y) values that would show that y is not a function of x. | | 2 | 49% | 24% | 25 |
19 | SR | GE | 8.G.C.9 | Determine the volume of a cylinder in a real-world context. | | 1 | 71% | 51% | 20 |
20 | SR | SP | 8.SP.A.1 | Determine which statement is true about a scatterplot's pattern of association. | | 1 | 75% | 78% | -3 |
21 | SR | NSEE | 8.NS.A.1 | Determine the decimal equivalent of a rational number expressed as a fraction. | | 1 | 83% | 57% | 26 |
22 | CR | FN | 8.F.B.4 | Use the linear relationship represented in a table to determine the y-intercept and slope; to write the equation of the line; and to determine whether a given point falls on the line. | | 4 | 75% | 33% | 42 |
23 | SA | NSEE | 8.NS.A.2 | Identify a point on a number line that corresponds to the approximate location of an irrational number. | | 1 | 60% | 32% | 28 |
24 | SA | FN | 8.F.B.5 | Graph a linear function that has the same y-intercept as y=x and passes through a given point. | | 1 | 58% | 31% | 27 |
25 | SR | NSEE | 8.NS.A.2 | Determine between which pair of integers the square root of a given number lies. | | 1 | 81% | 71% | 10 |
26 | SA | NSEE | 8.EE.A.4 | Solve a real-world problem by performing operations with numbers expressed in both scientific and decimal notation. | | 1 | 25% | 23% | 2 |
27 | SA | GE | 8.G.A.1 | Graph the image of a triangle after a reflection and compare the sides, angles, areas, and perimeters of the triangle and its image. | | 2 | 66% | 55% | 11 |
28 | SR | NSEE | 8.EE.C.8 | Determine the number of solutions to a system of equations. | | 1 | 74% | 35% | 39 |
29 | SR | NSEE | 8.EE.A.1 | Apply the properties of integer exponents to identify equivalent expressions. | | 1 | 74% | 33% | 41 |
30 | SR | NSEE | 8.EE.B.6 | Determine the equation of a line graphed on a coordinate plane. | | 1 | 92% | 61% | 31 |
31 | SA | NSEE | 8.EE.C.8 | Create two linear equations, each involving the same two variables, to solve a real-world problem. | | 1 | 73% | 49% | 24 |
32 | SR | GE | 8.G.A.2 | Given several transformations on a triangle, determine whether the resulting images are congruent to the original figure. | | 1 | 47% | 48% | -1 |
33 | CR | SP | 8.SP.A.4 | Complete a two-way table, summarize real-world data on two categorical variables, and then compare an additional two-way table to the completed table. | | 4 | 75% | 54% | 21 |
34 | SA | GE | 8.G.B.8 | Use the Pythagorean Theorem to create an equation to represent the length of a line segment that is graphed on a coordinate plane. | | 1 | 76% | 43% | 33 |
35 | SR | NSEE | 8.EE.B.5 | Determine which equation represents a proportional relationship in a real-world context. | | 1 | 84% | 67% | 17 |
36 | SR | NSEE | 8.EE.C.7 | Determine the number of solutions for two different one-variable equations. | | 1 | 69% | 31% | 38 |
37 | SR | GE | 8.G.A.2 | Determine which sequence of transformations of a quadrilateral results in a given image. | | 1 | 71% | 50% | 21 |
38 | SR | GE | 8.G.B.7 | Use the Pythagorean theorem to find the missing side length of a triangle in a mathematical problem. | | 1 | 57% | 45% | 12 |
39 | SR | NSEE | 8.EE.B.5 | Determine which graph represents a proportional relationship in a real-world context. | | 1 | 89% | 69% | 20 |
40 | SA | GE | 8.G.A.1 | Graph the image of a line segment that has been reflected over the x-axis. | | 1 | 76% | 59% | 17 |