Topic: Triangles |
Mathematics |
| Standard 4. Understands and applies basic and advanced properties of the concepts of measurement |
| | 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 |
| Standard 5. Understands and applies basic and advanced properties of the concepts of geometry |
| | Level III (Grade 6-8) |
| | | Benchmark 3. | Understands the defining properties of triangles (e.g., the sum of the measures of two sides of a triangle must be greater than the measure of the third side) |
| | | | Knowledge/skill statements |
| | | | | 1. | Understands that the sum of two sides of a triangle must be greater than the measure of the third side |
| | | | | 2. | Understands the properties of triangles |
| | | Benchmark 7. | Understands the basic concept of the Pythagorean theorem |
| | | | Knowledge/skill statements |
| | | | | 1. | Understands the concept of the Pythagorean theorem |
| | Level IV (Grade 9-12) |
| | | Benchmark 2. | Use the Pythagorean theorem and its converse and properties of special right triangles (e.g. 30° - 60° - 90° triangle) to solve mathematical and real-world problems |
| | | | Knowledge/skill statements |
| | | | | 1. | Determines whether a problem can be solved by the Pythagorean theorem |
| | | | | 2. | Understands the properties of 30° - 60° - 90° triangles |
| | | | | 3. | Understand the properties of 45° - 45° - 90° triangles |
| | | | | 4. | Determines whether a problem can be solved by making use of the properties of 30° - 60° - 90° triangles |
| | | | | 5. | Determines whether a problem can be solved by making use of the properties of 45° - 45° - 90° triangles |
| | | Benchmark 7. | Understands the basic concepts of right triangle trigonometry (e.g., basic trigonometric ratios such as sine, cosine, and tangent) |
| | | | Knowledge/skill statements |
| | | | | 1. | Understands the concept of right triangle trigonometry |