Gateway - GRADE 10 MATHEMATICS |
ITEM INFORMATION | | PERCENT OF DISTRICT'S POSSIBLE POINTS |
ITEM | TYPE | REPORTING CATEGORY | STANDARD | ITEM DESC | | POSSIBLE POINTS | GATEWAY | STATE | DISTRICT-STATE DIFFERENCE |
1 | SR | GE | GEO.G-SRT.A.1
MII.G-SRT.A.1 | Determine which graph shows a triangle and its image after a dilation. | | 1 | 79% | 81% | -2 |
2 | SR | NQ | AI.N-Q.A.2
MI.N-Q.A.2 | Use modeling and estimation techniques to solve a real-world problem. | | 1 | 64% | 63% | 1 |
3 | SR | AF | AI.A-REI.D.11
MI.A-REI.D.11 | Select the values that make a given quadratic equation true. | | 1 | 38% | 59% | -21 |
4 | SA | SP | AI.S-ID.A.1
MI.S-ID.A.1 | Complete a histogram using a given set of data. | | 1 | 66% | 63% | 3 |
5 | SR | AF | AI.A-REI.C.7
MII.A-REI.C.7 | Solve a system consisting of the equations of a line and a circle. | | 1 | 74% | 64% | 10 |
6 | CR | GE | GEO.G-GPE.B.5
MI.G-GPE.B.5 | Write equations of lines that are parallel and perpendicular to given lines passing through given points. | | 4 | 35% | 42% | -7 |
7 | SR | GE | GEO.G-CO.B.6
MI.G-CO.B.6 | Determine whether various transformations performed on a triangle will result in a congruent image. | | 1 | 43% | 51% | -8 |
8 | SR | AF | AI.A-REI.C.5
MI.A-REI.C.5 | Choose a system of equations that has the same solution as a given system of linear equations. | | 1 | 53% | 59% | -6 |
9 | SR | SP | AI.S-ID.A.3
MI.S-ID.A.3 | Determine the effect on the mean if an outlier is removed from a set of data. | | 1 | 49% | 61% | -12 |
10 | SR | AF | AI.F-IF.A.2
MI.F-IF.A.2 | Find a specified term in an arithmetic sequence that is represented by a given function. | | 1 | 36% | 52% | -16 |
11 | SR | NQ | AI.N-RN.B.3
MII.N-RN.B.3 | Solve equations that contain rational and irrational numbers. | | 2 | 40% | 47% | -7 |
12 | SR | AF | AI.A-APR.A.1
MII.A-APR.A.1 | Multiply a monomial and a binomial to identify an equivalent expression. | | 1 | 64% | 68% | -4 |
13 | CR | NQ | AI.N-RN.A.1
MII.N-RN.A.1 | Translate between radical and exponential representations of different expressions and create a radical expression based on stated parameters. | | 4 | 27% | 37% | -10 |
14 | SR | AF | AI.F-LE.A.2
MI.F-LE.A.2 | Use the values of a function in a table to describe an exponential function and determine which equation models the function. | | 2 | 59% | 61% | -2 |
15 | SR | AF | AI.A-REI.B.4
MII.A-REI.B.4 | Find the solutions of a quadratic equation. | | 1 | 38% | 50% | -12 |
16 | SR | AF | AI.F-IF.A.3
MI.F-IF.A.3 | Find a specified term in a geometric sequence, given the value of two other terms in the sequence. | | 1 | 74% | 64% | 10 |
17 | SR | NQ | AI.N-Q.A.2
MI.N-Q.A.2 | Use a mathematical model to estimate a quantity in a real-world situation. | | 1 | 43% | 47% | -4 |
18 | SA | AF | AI.A-REI.C.6
MI.A-REI.C.6 | Solve and graph a system of linear equations. | | 2 | 13% | 36% | -23 |
19 | SR | SP | AI.S-ID.B.6
MI.S-ID.B.6 | Use the line of best fit for data in a scatter plot to predict a value in a real-world situation. | | 1 | 23% | 34% | -11 |
20 | SR | AF | AI.A-CED.A.2
MI.A-CED.A.2
MII.A-CED.A.2 | Determine which equation describes the relationship between two variables in a real-world context. | | 1 | 57% | 60% | -3 |
21 | SR | AF | AI.F-LE.A.3
MI.F-LE.A.3
MII.F-LE.A.3 | Use the graphs of three different functions to compare how they increase as the independent variable increases. | | 1 | 55% | 50% | 5 |
22 | SR | GE | GEO.G-SRT.C.8
MII.G-SRT.C.8 | Use the Pythagorean Theorem to determine the missing side length of a triangle in a real-world context. | | 1 | 26% | 53% | -27 |
23 | SR | AF | AI.F-BF.A.2
MI.F-BF.A.2 | Analyze an algebraic sequence that represents a real-world situation. | | 1 | 38% | 50% | -12 |
24 | SR | GE | GEO.G-SRT.B.5
MII.G-SRT.B.5 | Use proportions to find a missing side length in a diagram displaying similar triangles. | | 1 | 64% | 58% | 6 |
25 | SR | GE | GEO.G-GMD.A.3
MII.G-GMD.A.3 | Use the volume formula for a cone to solve a real-world problem. | | 1 | 57% | 69% | -12 |
26 | SR | GE | GEO.G-GPE.B.6
MII.G-GPE.B.6 | Locate a point on a line segment, graphed on a coordinate plane, that divides the segment in a specified ratio. | | 1 | 60% | 65% | -5 |
27 | CR | SP | AI.S-ID.B.5
MI.S-ID.B.5 | Calculate relative frequencies based on data displayed in a two-way table. | | 4 | 39% | 47% | -8 |
28 | SR | NQ | AI.N-Q.A.3
GEO.N-Q.A.3
MI.N-Q.A.3
MII.N-Q.A.3 | Determine the effects of rounding on measurements in a real-world situation. | | 1 | 45% | 56% | -11 |
29 | SR | GE | GEO.G-SRT.C.6
MII.G-SRT.C.6 | Use trigonometric ratios to determine a missing side length in a right triangle. | | 1 | 47% | 57% | -10 |
30 | SR | GE | GEO.G-CO.A.1
MI.G-CO.A.1 | Match geometric terms with their definitions. | | 1 | 66% | 61% | 5 |
31 | SR | GE | GEO.G-CO.A.2
MI.G-CO.A.2 | Determine the coordinates of a vertex of a triangle, graphed on a coordinate plane, after a sequence of transformations. | | 1 | 51% | 62% | -11 |
32 | SA | GE | GEO.G-GMD.A.1
MII.G-GMD.A.1 | Determine the volume of a cylinder, and compare the volumes of other cylinders that have similar dimensions. | | 2 | 52% | 65% | -13 |
33 | SR | AF | AI.A-REI.B.3
MI.A-REI.B.3 | Solve a compound linear inequality that represents a real-world problem. | | 1 | 30% | 52% | -22 |
34 | CR | AF | AI.A-CED.A.1
MI.A-CED.A.1
MII.A-CED.A.1 | Write and solve a linear equation and linear inequalities based on a real-world situation. | | 4 | 38% | 48% | -10 |
35 | SR | GE | GEO.G-CO.A.3
MI.G-CO.A.3 | Determine the coordinates of a vertex of a parallelogram after a reflection and the sequence of transformations that would map the parallelogram onto itself. | | 2 | 57% | 65% | -8 |
36 | SA | GE | GEO.G-CO.A.5
MI.G-CO.A.5 | Graph the image of a point on a coordinate plane after a reflection over a given line. | | 1 | 9% | 25% | -16 |
37 | SR | GE | GEO.G-CO.C.9
MII.G-CO.C.9 | Identify the theorem about parallel lines and transversals that proves two pairs of angles in a diagram are congruent. | | 1 | 60% | 55% | 5 |
38 | SR | AF | AI.F-IF.B.5
MI.F-IF.B.5
MII.F-IF.B.5 | Identify the domain of a function based on a real-world situation. | | 1 | 21% | 36% | -15 |
39 | SA | SP | GEO.S-CP.A.4
MII.S-CP.A.4 | Complete a two-way frequency table and use the table to calculate a conditional probability. | | 2 | 74% | 67% | 7 |
40 | SR | GE | GEO.G-C.A.2
MII.G-C.A.2 | Determine the measure of an angle in a triangle inscribed in a circle. | | 1 | 57% | 60% | -3 |
41 | SR | AF | AI.F-IF.B.6
MI.F-IF.B.6
MII.F-IF.B.6 | Calculate the average rate of change of an exponential function over a given interval. | | 1 | 45% | 50% | -5 |
42 | SR | GE | GEO.G-GPE.B.7
MI.G-GPE.B.7 | Calculate the perimeter of a trapezoid graphed on a coordinate plane. | | 1 | 43% | 53% | -10 |