Topic: Perimeter/area/volume |
Mathematics |
| Standard 4. Understands and applies basic and advanced properties of the concepts of measurement |
| | Level III (Grade 6-8) |
| | | Benchmark 7. | Understands formulas for finding measures (e.g., area, volume, surface area) |
| | | | Knowledge/skill statements |
| | | | | 1. | Understands the formula for area |
| | | | | 2. | Computes area using the formula |
| | | | | 3. | Understands the formula for volume |
| | | | | 4. | Computes volume using the formula |
| | | | | 5. | Understands the formula for circumference |
| | | | | 6. | Computes circumference using the formula |
| | | | | 7. | Understands the formula for surface area |
| | | | | 8. | Computes surface area using the formula |
| | | Benchmark 9. | Understands procedures for basic indirect measurements (e.g., using grids to estimate area of irregular figures) |
| | | | Knowledge/skill statements |
| | | | | 1. | Understands the concept of indirect measurement |
| | | | | 2. | Understands the concept of grids |
| | | | | 3. | Uses grids to estimate area |
| | Level IV (Grade 9-12) |
| | | Benchmark 3. | Selects and uses an appropriate direct or indirect method of measurement in a given situation (e.g., uses properties of similar triangles to measure indirectly the height of an inaccessible object) |
| | | | Knowledge/skill statements |
| | | | | 1. | Uses the properties of triangles to measure the height of distant object |
| | | | | 2. | Understands the concept of indirect measurement using computations |
| | | | | 3. | Understands the concept of direct measurement |
| | | Benchmark 4. | Solves real-world problems involving three-dimensional measures (e.g., volume, surface area) |
| | | | Knowledge/skill statements |
| | | | | 1. | Computes volume |
| | | | | 2. | Computes surface area |
| | | | | 3. | Determines whether a problem can be solved by calculating volume |
| | | | | 4. | Understands the concept of a three-dimensional measure |
| | | | | 5. | Determines whether a problem can be solved by calculating surface area |