Natick - GRADE 10 MATHEMATICS |
ITEM INFORMATION | | PERCENT OF DISTRICT'S POSSIBLE POINTS |
ITEM | TYPE | REPORTING CATEGORY | STANDARD | ITEM DESC | | POSSIBLE POINTS | NATICK | 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 | 32% | 28% | 4 |
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 | 84% | 59% | 25 |
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 | 43% | 49% | -6 |
5 | SR | AF | AI.A-APR.A.1 MII.A-APR.A.1 | Given a polynomial expression, identify an equivalent expression. | | 1 | 75% | 53% | 22 |
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 | 56% | 38% | 18 |
7 | SR | AF | AI.A-REI.B.3 MI.A-REI.B.3 | Solve a linear inequality based on a real-world context. | | 1 | 93% | 78% | 15 |
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 | 73% | 54% | 19 |
9 | SR | AF | AI.A-REI.B.4 MII.A-REI.B.4 | Identify the solutions of a quadratic equation in factored form. | | 1 | 77% | 63% | 14 |
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 | 74% | 53% | 21 |
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 | 68% | 55% | 13 |
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 | 81% | 68% | 13 |
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 | 51% | 32% | 19 |
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 | 45% | 36% | 9 |
15 | SR | AF | AI.F-LE.A.2 MI.F-LE.A.2 | Construct an exponential function based on information in a table. | | 1 | 68% | 50% | 18 |
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 | 71% | 64% | 7 |
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 | 66% | 47% | 19 |
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 | 61% | 41% | 20 |
19 | SR | AF | AI.A-REI.A.1 MI.A-REI.A.1 | Justify each step in the solution of a linear equation. | | 1 | 74% | 45% | 29 |
20 | SA | GE | GEO.G-CO.C.10 MII.G-CO.C.10 | Use the Triangle Sum Theorem to determine an angle measure. | | 1 | 82% | 62% | 20 |
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 | 77% | 65% | 12 |
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 | 88% | 76% | 12 |
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 | 60% | 44% | 16 |
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 | 92% | 84% | 8 |
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 | 55% | 41% | 14 |
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 | 61% | 51% | 10 |
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 | 52% | 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 | 67% | 65% | 2 |
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 | 49% | 38% | 11 |
30 | SR | GE | GEO.G-CO.D.13 MI.G-CO.D.13 | Analyze the construction of a square inscribed in a circle. | | 1 | 72% | 60% | 12 |
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 | 55% | 40% | 15 |
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 | 68% | 53% | 15 |
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 | 54% | 49% | 5 |
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 | 74% | 56% | 18 |
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 | 86% | 76% | 10 |
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 | 70% | 52% | 18 |
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 | 47% | 47% | 0 |
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 | 52% | 57% | -5 |
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 | 48% | 33% | 15 |
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 | 54% | 46% | 8 |
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 | 72% | 59% | 13 |
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 | 56% | 51% | 5 |