Topic: Vectors |
Mathematics |
| Standard 5. Understands and applies basic and advanced properties of the concepts of geometry |
| | Level IV (Grade 9-12) |
| | | Benchmark 4. | Understands the characteristics and uses of vectors (e.g., representations of velocity and force) |
| | | | Knowledge/skill statements |
| | | | | 1. | Understands the representation of force by a vector |
| | | | | 2. | Understands the concept of force |
| | | | | 3. | Understands the representation of velocity by a vector |
| | | | | 4. | Understands the characteristics of vectors |
| | | | | 5. | Understands that vectors have a magnitude and a direction component |
| | | Benchmark 6. | Uses the properties of vectors and basic operations on vectors (e.g., vector addition, scalar multiplication) to solve problems (e.g., involving velocity) |
| | | | Knowledge/skill statements |
| | | | | 1. | Understands the basic concept of vectors |
| | | | | 2. | Determines the dot product of vectors |
| | | | | 3. | Determines the cross product of vectors |
| | | | | 4. | Adds vectors |
| | | | | 5. | Uses the properties of vectors to solve problems |
| | | | | 6. | Uses the properties of vectors to solve problems involving velocity |
| | | | | 7. | Uses vector addition to solve problems |
| | | | | 8. | Uses scalar multiplication to solve problems |