| West Boylston - GRADE 10 MATHEMATICS |
| ITEM INFORMATION | | PERCENT OF DISTRICT'S POSSIBLE POINTS |
| ITEM | TYPE | REPORTING CATEGORY | STANDARD | ITEM DESC | | POSSIBLE POINTS | WEST BOYLSTON | STATE | DISTRICT-STATE DIFFERENCE |
| 1 | SR | AF | AI.A-SSE.B.3 MII.A-SSE.B.3 | Factor a quadratic expression to solve a problem in a real-world context. | | 1 | 86% | 72% | 14 |
| 2 | SR | GE | GEO.G-GPE.A.1 MII.G-GPE.A.1 | Create the equation of a circle given its center and radius. | | 1 | 20% | 28% | -8 |
| 3 | SR | NQ | AI.N-RN.A.2 MII.N-RN.A.2 | Evaluate a radical expression that has an exponent using laws of exponents. | | 1 | 55% | 59% | -4 |
| 4 | SR | SP | AI.S-ID.A.1 MI.S-ID.A.1 | Determine the median value of real-world data displayed in a line plot. | | 1 | 57% | 49% | 8 |
| 5 | SR | AF | AI.A-APR.A.1 MII.A-APR.A.1 | Given a polynomial expression, identify an equivalent expression. | | 1 | 63% | 53% | 10 |
| 6 | CR | GE | GEO.G-GPE.B.5 MI.G-GPE.B.5 | Given a line graphed on a coordinate plane, determine its slope, create an equation of a parallel line, determine whether another line is parallel, and create an equation of a perpendicular line passing through a given point. | | 4 | 35% | 38% | -3 |
| 7 | SR | AF | AI.A-REI.B.3 MI.A-REI.B.3 | Solve a linear inequality based on a real-world context. | | 1 | 86% | 78% | 8 |
| 8 | SA | GE | GEO.G-GPE.B.6 MII.G-GPE.B.6 | Identify the point on a line segment that partitions the segment into a given ratio. | | 1 | 51% | 54% | -3 |
| 9 | SR | AF | AI.A-REI.B.4 MII.A-REI.B.4 | Identify the solutions of a quadratic equation in factored form. | | 1 | 67% | 63% | 4 |
| 10 | SR | GE | GEO.G-SRT.C.6 MII.G-SRT.C.6 | Determine the length of a leg of a right triangle based on angle measures. | | 1 | 51% | 53% | -2 |
| 11 | SR | NQ | AI.N-RN.B.3 MII.N-RN.B.3 | Identify a statement about rational and irrational numbers that is not true and determine whether a given expression is rational. | | 2 | 56% | 55% | 1 |
| 12 | SR | AF | AI.A-CED.A.2 MI.A-CED.A.2 MII.A-CED.A.2 | Identify the equation of a line graphed on a coordinate plane. | | 1 | 59% | 68% | -9 |
| 13 | CR | AF | AI.F-IF.B.4 MI.F-IF.B.4 MII.F-IF.B.4 | Given a quadratic function that represents a context, evaluate the function for a specific input value, analyze how the function changes over different input values, and determine the maximum value of the function. | | 4 | 30% | 32% | -2 |
| 14 | SR | AF | AI.F-IF.C.9 MI.F-IF.C.9 MII.F-IF.C.9 | Compare properties of a quadratic function shown on a graph and another represented by values in a table. | | 2 | 35% | 36% | -1 |
| 15 | SR | AF | AI.F-LE.A.2 MI.F-LE.A.2 | Construct an exponential function based on information in a table. | | 1 | 49% | 50% | -1 |
| 16 | SR | NQ | AI.N-Q.A.2 MI.N-Q.A.2 | Use estimation skills to approximate the solution of a real-world problem. | | 1 | 59% | 64% | -5 |
| 17 | SR | AF | AI.A-REI.D.10 MI.A-REI.D.10 | Identify the coordinates of points that lie on the graph of a linear equation. | | 1 | 43% | 47% | -4 |
| 18 | SA | GE | GEO.G-SRT.C.8 MII.G-SRT.C.8 | Use trigonometric ratios to determine side lengths in different right triangles based on a real-world context. | | 2 | 37% | 41% | -4 |
| 19 | SR | AF | AI.A-REI.A.1 MI.A-REI.A.1 | Justify each step in the solution of a linear equation. | | 1 | 41% | 45% | -4 |
| 20 | SA | GE | GEO.G-CO.C.10 MII.G-CO.C.10 | Use the Triangle Sum Theorem to determine an angle measure. | | 1 | 55% | 62% | -7 |
| 21 | SR | AF | AI.A-REI.C.7 MII.A-REI.C.7 | Identify the solution of a system of a linear equation and a quadratic equation. | | 1 | 63% | 65% | -2 |
| 22 | SR | GE | GEO.G-GPE.B.7 MI.G-GPE.B.7 | Calculate the area of a trapezoid graphed on a coordinate plane. | | 1 | 78% | 76% | 2 |
| 23 | SR | AF | AI.F-BF.A.2 MI.F-BF.A.2 | Identify a function that represents a geometric sequence partially displayed in a table. | | 1 | 45% | 44% | 1 |
| 24 | SR | AF | AI.A-CED.A.1 MI.A-CED.A.1 MII.A-CED.A.1 | Create two one-variable equations and use them to solve a real-world problem. | | 1 | 82% | 84% | -2 |
| 25 | SR | AF | AI.F-IF.A.1 MI.F-IF.A.1 | Identify the domain and range of a linear function from its graph. | | 1 | 43% | 41% | 2 |
| 26 | SR | GE | GEO.G-SRT.B.5 MII.G-SRT.B.5 | Identify a proportion that can be used to find an unknown side length in a pair of similar triangles. | | 1 | 49% | 51% | -2 |
| 27 | CR | SP | GEO.S-CP.A.4 MII.S-CP.A.4 | Complete a two-way frequency table of data, use the data in the table to compute conditional probabilities, and determine whether the variables of interest are independent. | | 4 | 36% | 44% | -8 |
| 28 | SR | GE | GEO.G-CO.A.5 MI.G-CO.A.5 | Identify the graph of a triangle on a coordinate plane after a transformation. | | 1 | 69% | 65% | 4 |
| 29 | SR | AF | AI.F-LE.B.5 MI.F-LE.B.5 | Compare the parameters of three linear functions that represent a real-world context. | | 1 | 31% | 38% | -7 |
| 30 | SR | GE | GEO.G-CO.D.13 MI.G-CO.D.13 | Analyze the construction of a square inscribed in a circle. | | 1 | 59% | 60% | -1 |
| 31 | SR | AF | AI.F-LE.A.3 MI.F-LE.A.3 MII.F-LE.A.3 | Compare the values of a linear function and an exponential function, graphed on a coordinate plane, as the value of the independent variable increases. | | 1 | 31% | 40% | -9 |
| 32 | SA | SP | AI.S-ID.B.5 MI.S-ID.B.5 | Calculate relative frequencies from a two-way table based on a real-world context. | | 2 | 51% | 53% | -2 |
| 33 | SR | GE | GEO.G-C.A.2 MII.G-C.A.2 | Determine an unknown arc measure in a diagram of a triangle inscribed in a circle. | | 1 | 39% | 49% | -10 |
| 34 | CR | NQ | AI.N-Q.A.1 MI.N-Q.A.1 | Use dimensional analysis and translate between units to solve real-world problems, and then apply the solutions to a related problem. | | 4 | 49% | 56% | -7 |
| 35 | SR | GE | GEO.G-CO.B.7 MI.G-CO.B.7 | Relate the side lengths and angle measures in pairs of congruent triangles. | | 2 | 80% | 76% | 4 |
| 36 | SR | NQ | AI.N-Q.A.3 GEO.N-Q.A.3 MI.N-Q.A.3 MII.N-Q.A.3 | Use estimation and dimensional analysis to solve a real-world problem involving mass and money. | | 1 | 49% | 52% | -3 |
| 37 | SR | SP | AI.S-ID.A.2 MI.S-ID.A.2 | Compare measures of center and spreads of two real-world data sets displayed in line plots. | | 1 | 45% | 47% | -2 |
| 38 | SR | GE | GEO.G-CO.A.2 MI.G-CO.A.2 | Determine the coordinates of a vertex of a pentagon, graphed on a coordinate plane, after a sequence of transformations. | | 1 | 55% | 57% | -2 |
| 39 | SA | GE | GEO.G-C.B.5 MII.G-C.B.5 | Calculate the area of a sector of a circle and the length of an arc on the circle. | | 2 | 32% | 33% | -1 |
| 40 | SR | AF | AI.A-SSE.A.1 MI.A-SSE.A.1 MII.A-SSE.A.1 | Interpret the parts of an exponential expression based on a real-world context. | | 1 | 29% | 46% | -17 |
| 41 | SR | GE | GEO.G-GMD.A.3 MII.G-GMD.A.3 | Calculate the radius of a cone given its height and its volume. | | 1 | 53% | 59% | -6 |
| 42 | SR | SP | AI.S-ID.C.8 MI.S-ID.C.8 | Identify the correlation coefficient that best represents a description of the results of a survey. | | 1 | 53% | 51% | 2 |
