Join Our Email List!
|
| level,year- question# |
inter- active problem |
problem data base |
difficulty/ per cent correct |
NCTM Standard: NCTM Standard Sub-definition | |
GEOMETRY : |
|||||
| ta07-15 | IAP | PDB | H / 14.9% | Geometry: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| sa07-14 | IAP | PDB | H / 18.47% MH / 32.11% |
Geometry: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| sa07-08 | IAP | PDB | M / 52.85% ME / 76.88% |
Geometry: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| sb07-04 | IAP | PDB | ME / 61.97% ME / 75.18% |
Geometry: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| sb07-01 | IAP | PDB | ME / 71.87% E / 85.66% |
Geometry: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| sa07-03 | IAP | PDB | ME / 58.96% ME / 75.9% |
Geometry: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| ha07-13 | IAP | PDB | M / 41.11% | Geometry: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| m04-24 | IAP | PDB | MH / 24.99% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and de- velop mathematical arguments about geometric relationships | |
| m01-09 | IAP | PDB | H / 12.08% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| m04-25 | IAP | PDB | H / 13.12% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| m05-04 | IAP | PDB | M / 56.1% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| m01-07 | IAP | PDB | M / 43.14% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| m05-09 | IAP | PDB | M / 40.37% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| m03-06 | IAP | PDB | M / 47.69% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| m01-08 | IAP | PDB | MH / 38.97% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| m05-23 | IAP | PDB | MH / 22.18% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| m03-21 | IAP | PDB | MH / 32.62% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| m05-19 | IAP | PDB | MH / 38.79% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| m05-07 | IAP | PDB | MH / 22.26% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| ta05-20 | IAP | PDB | H / 7.36% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| tb05-07 | IAP | PDB | H / 15.79% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| tb06-08 | IAP | PDB | H / 13.65% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| ta05-12 | IAP | PDB | H / 16.35% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| ta06-16 | IAP | PDB | H / 4.87% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| ta05-25 | IAP | PDB | H / 8.85% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| tb06-23 | IAP | PDB | H / 5.41% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| ta05-19 | IAP | PDB | MH / 34.15% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| tb06-04 | IAP | PDB | MH / 33.11% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| ta06-17 | IAP | PDB | MH / 23.79% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| tb05-14 | IAP | PDB | MH / 21.63% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| sb06-24 | IAP | PDB | H / 13.18% MH / 23.04% |
Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| sa06-23 | IAP | PDB | H / 19.21% M / 40.88% |
Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| sb05-10 | IAP | PDB | H / 16.48% MH / 31.31% |
Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| sb05-08 | IAP | PDB | M / 58.56% ME / 78.34% |
Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| sb06-10 | IAP | PDB | MH / 27.33% MH / 35.87% |
Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| sa05-04 | IAP | PDB | MH / 21.22% M / 43.23% |
Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| hb06-21 | IAP | PDB | H / 2.31% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| ha06-22 | IAP | PDB | H / 1.61% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| ha03-15 | IAP | PDB | H / 10.2% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| ha06-17 | IAP | PDB | H / 6.25% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| hb05-08 | IAP | PDB | M / 43.47% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| ha03-11 | IAP | PDB | M / 17.7% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| ha06-13 | IAP | PDB | M / 59.3% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| hb03-07 | IAP | PDB | ME / 19.34% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| ha03-14 | IAP | PDB | MH / 48.41% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| m06-06 | IAP | PDB | M / 55.10% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| m06-21 | IAP | PDB | H / 19.56% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| m06-19 | IAP | PDB | M / 52.37% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| m06-04 | IAP | PDB | ME / 66.91% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| m06-07 | IAP | PDB | MH / 20.87% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| ta07-18 | IAP | PDB | H / 16.49% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| ta07-19 | IAP | PDB | H / 8.7% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| tb07-11 | IAP | PDB | H / 6.84% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| hb07-20 | IAP | PDB | H / 3.66% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| m02-15 | IAP | PDB | E / 78.10% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. Middle-grades students should explore a variety of geometric shapes and examine their characteristics. | |
| ta05-23 | IAP | PDB | H / 13.50% | Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships; | |
| sa07-21 | IAP | PDB | H / 8.89% MH / 25.54% |
Geometry: Analyze characteristics and properties of two-and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. | |
| sb07-15 | IAP | PDB | MH / 37.46% ME / 62.8% |
Geometry: Analyze properties and determine attributes of two- and three-dimensional objects. | |
| ha07-23 | IAP | PDB | H / 4.93% | Geometry: Analyze properties and determine attributes of two- and three-dimensional objects. | |
| hb07-16 | IAP | PDB | H / 5.61% | Geometry: Analyze properties and determine attributes of two- and three-dimensional objects. | |
| hb07-23 | IAP | PDB | H / 4.76% | Geometry: Analyze properties and determine attributes of two- and three-dimensional objects. | |
| ha07-24 | IAP | PDB | H / 2.07% | Geometry: Analyze properties and determine attributes of two- and three-dimensional objects. | |
| m05-03 | IAP | PDB | M / 43.6% | Geometry: Apply transformations and use symmetry to analyze mathematical situations | |
| m03-25 | IAP | PDB | MH / 28.34% | Geometry: Apply transformations and use symmetry to analyze mathematical situations | |
| tb06-19 | IAP | PDB | H / 4.66% | Geometry: Apply transformations and use symmetry to analyze mathematical situations | |
| tb05-23 | IAP | PDB | H / 6.29% | Geometry: Apply transformations and use symmetry to analyze mathematical situations | |
| tb06-06 | IAP | PDB | MH / 35.67% | Geometry: Apply transformations and use symmetry to analyze mathematical situations | |
| sb06-15 | IAP | PDB | H / 18.91% MH / 28.01% |
Geometry: Apply transformations and use symmetry to analyze mathematical situations | |
| sa06-07 | IAP | PDB | ME / 72.98% ME / 75.12% |
Geometry: Apply transformations and use symmetry to analyze mathematical situations | |
| hb06-23 | IAP | PDB | H / 1.58% | Geometry: Apply transformations and use symmetry to analyze mathematical situations | |
| m00-19 | IAP | PDB | H / 15.04% | Geometry: Apply transformations and use symmetry to analyze mathematical situations. | |
| m06-05 | IAP | PDB | M / 63.37% | Geometry: Apply transformations and use symmetry to analyze mathematical situations. | |
| m06-18 | IAP | PDB | MH / 22.81% | Geometry: Apply transformations and use symmetry to analyze mathematical situations. | |
| ta07-24 | IAP | PDB | H / 12.35% | Geometry: Apply transformations and use symmetry to analyze mathematical situations. | |
| ta07-11 | IAP | PDB | M / 53027% | Geometry: Apply transformations and use symmetry to analyze mathematical situations. | |
| ha07-08 | IAP | PDB | M / 43.69% | Geometry: Apply transformations and use symmetry to analyze mathematical situations. | |
| m01-16 | IAP | PDB | H / 13.60% | Geometry: Describe sizes, positions, and orientations of shapes under informal transformations | |
| m01-23 | IAP | PDB | M / 42.29% | Geometry: Examine the congruence, similarity, and line or rotational symmetry of objects using transformations | |
| tb02-05 | IAP | PDB | H / 68.16% | Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them | |
| ha03-16 | IAP | PDB | M / 38.49% | Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them | |
| tb07-18 | IAP | PDB | H / 16.79% | Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. | |
| tb07-13 | IAP | PDB | H / 16.06% | Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. | |
| tb07-10 | IAP | PDB | H / 15.62% | Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. | |
| tb07-21 | IAP | PDB | H / 5.38% | Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. | |
| tb07-23 | IAP | PDB | H / 6.39% | Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. | |
| sb07-17 | IAP | PDB | H / 7.22% H / 15.75% |
Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. | |
| sb07-07 | IAP | PDB | MH / 22.25% M / 42.54% |
Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. | |
| hb07-19 | IAP | PDB | H / 8.84% | Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. | |
| hb07-22 | IAP | PDB | H / 7.44% | Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. | |
| ha07-19 | IAP | PDB | H / 3.86% | Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. | |
| ha07-20 | IAP | PDB | H / 5.17% | Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. | |
| hb07-06 | IAP | PDB | ME / 78.65% | Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. | |
| sa02-08 | IAP | PDB | E / 66.23% ME / 76% |
Geometry: Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjecturesabout them, and solve problems involving them | |
| sb02-18 | IAP | PDB | M / 40.89% MH / 33.75% |
Geometry: Explore relationships among classes of two- and three-dimensional geometric objects | |
| m00-04 | IAP | PDB | E / 91.47% | Geometry: Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties. | |
| m04-14 | IAP | PDB | MH / 37.25% | Geometry: Specify locations and describe spatial relationships using coordinate geometry and other representational systems | |
| tb06-20 | IAP | PDB | H / 9.68% | Geometry: Specify locations and describe spatial relationships using coordinate geometry and other representational systems | |
| ha05-25 | IAP | PDB | H / 1.94% | Geometry: Specify locations and describe spatial relationships using coordinate geometry and other representational systems | |
| hb06-12 | IAP | PDB | H / 12.38% | Geometry: Specify locations and describe spatial relationships using coordinate geometry and other representational systems | |
| ha05-16 | IAP | PDB | H / 7.28% | Geometry: Specify locations and describe spatial relationships using coordinate geometry and other representational systems | |
| ha06-19 | IAP | PDB | H / 3.05% | Geometry: Specify locations and describe spatial relationships using coordinate geometry and other representational systems | |
| hb06-16 | IAP | PDB | H / 12.67% | Geometry: Specify locations and describe spatial relationships using coordinate geometry and other representational systems | |
| hb05-07 | IAP | PDB | MH / 23.99% | Geometry: Specify locations and describe spatial relationships using coordinate geometry and other representational systems | |
| hb07-25 | IAP | PDB | H / 9.07% | Geometry: Specify locations and describe spatial relationships using coordinate geometry and other representational systems. | |
| ha05-12 | IAP | PDB | ME / 32.51% | Geometry: Specify locations and describe spatial relationships using coordinate geometry and other representational systems; apply transformations and use symmetry to analyze mathematical situations | |
| m02-13 | IAP | PDB | MH / 26.83% | Geometry: Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects | |
| m00-22 | IAP | PDB | H / 17.78% | Geometry: Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. | |
| m00-25 | IAP | PDB | H / 16.65% | Geometry: Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. | |
| m00-24 | IAP | PDB | H / 17.48% | Geometry: Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. | |
| m00-06 | IAP | PDB | M / 53.32% | Geometry: Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. | |
| m00-18 | IAP | PDB | M / 45.27% | Geometry: Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. | |
| m00-15 | IAP | PDB | MH / 37.89% | Geometry: Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. | |
| m00-16 | IAP | PDB | MH / 38.33% | Geometry: Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. | |
| m00-13 | IAP | PDB | MH / 37.04% | Geometry: Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. | |
| m05-15 | IAP | PDB | MH / 26.87% | Geometry: Use analyze characteristics and properties of two-and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | |
| tb03-11 | IAP | PDB | M / 50.73% | Geometry: Use Cartesian coordinates to analyze geometric situations | |
| ha03-09 | IAP | PDB | M / 30.48% | Geometry: Use Cartesian coordinates to analyze geometric situations. Understand and represent translations, reflections, rotations, and dilations of objects in the plane by using sketches, coordinates, vectors, function notation, and matrices. | |
| m01-11 | IAP | PDB | M / 47.16% | Geometry: Use coordinate geometry to represent and examine the properties of geometric shapes | |
| ta04-20 | IAP | PDB | H / 10.06% | Geometry: Use trigonometric relationships to determine lengths and angle measures. | |
| m03-01 | IAP | PDB | ME / 77.36% | Geometry: Use two-dimensional representations of three-dimensional objects to visualize and solve problems | |
| m03-13 | IAP | PDB | M / 54.30% | Geometry: Use two-dimensional representations of three-dimensional objects to visualize and solve problems such as those involving surface area and volume | |
| m03-15 | IAP | PDB | MH / 33.38% | Geometry: Use two-dimensional representations of three-dimensional objects to visualize and solve problems such as those involving surface area and volume | |
| m03-18 | IAP | PDB | H / 18.49% | Geometry: Use visual tools such as networks to represent and solve problems | |
| m01-24 | IAP | PDB | H / 20.00% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| m03-08 | IAP | PDB | M / 58.65% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| m05-25 | IAP | PDB | MH / 22.05% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| m05-13 | IAP | PDB | MH / 24.92% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| m02-23 | IAP | PDB | MH / 26.10% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| m04-15 | IAP | PDB | MH / 36.74% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| m03-10 | IAP | PDB | MH / 31.86% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| tb02-24 | IAP | PDB | H / 11.93% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| ta02-18 | IAP | PDB | H / 14.62% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| ta06-24 | IAP | PDB | H / 5.07% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| tb06-05 | IAP | PDB | M / 49.54% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| ta06-12 | IAP | PDB | M / 48.04% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| ta05-08 | IAP | PDB | M / 44.76% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| sa05-11 | IAP | PDB | MH / 23.35% MH / 30.99% |
Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| ha05-22 | IAP | PDB | H / 5.63% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| ha05-17 | IAP | PDB | H / 17.24% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| ha03-13 | IAP | PDB | M / 46.45% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| ha05-07 | IAP | PDB | ME / 69.24% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| ha02-07 | IAP | PDB | MH / 21.35% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems | |
| m02-01 | IAP | PDB | E / 52.17% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems, draw geometric objects with specified properties, such as side lengths or angle measures | |
| tb07-20 | IAP | PDB | H / 10.71% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems. | |
| ta04-11 | IAP | PDB | MH / 22.37% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems. | |
| m02-20 | IAP | PDB | MH / 30.73% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems. Apply transformations and use symmetry to analyze mathematical situations describe sizes, positions, and orientations of shapes under informal transformations such as flips, | |
| m02-16 | IAP | PDB | H / 19.22% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems. . . . Eighth graders should be familiar with one of the many visual demonstrations of the Pythagorean relationship, the diagram showing three squares attached to the sides of | |
| m02-22 | IAP | PDB | H / 27.95% | Geometry: Use visualization, spatial reasoning, and geometric modeling to solve problems; use two-dimensional representations of three-dimensional objects to visualize and solve problems such as those involving surface area and volume. | |
| sa04-25 | IAP | PDB | H / 2.51% H / 2.7% |
Geometry: Visualize three-dimensional objects and spaces from different perspectives | |
