1. Vector Analysis: Magnitude and Direction
In Year 6 Greater Depth mathematics and science, we move beyond simple measurements to understand Vectors. Unlike a scalar (which only has size, like temperature), a vector has both magnitude and direction.
- VEC:v (Vector Velocity): This represents an object’s speed in a specific direction.
- Composition (lowD): In a “low dimension” environment (2D), we calculate the resultant vector by combining horizontal and vertical components.
Key Concept: If an aircraft flies at 100 km/h North but faces a crosswind of 20 km/h East, its “Greater Depth” analysis requires calculating the precise diagonal path (the resultant) using the Pythagorean theorem.
2. Logic Gates and Systematic Control (GATE:ISR)
Logic Gates are the building blocks of digital intelligence. The ISR (Interrupt Service Routine) suggests a system that must stop its current task to handle a high-priority event.
Common Logic Gate Functions
| Gate | Input A | Input B | Output | Logic |
|---|---|---|---|---|
| AND | 1 | 0 | 0 | Both must be ‘True’ for a signal to pass. |
| OR | 1 | 0 | 1 | Either can be ‘True’ for a signal to pass. |
| NOT | 1 | – | 0 | Inverts the input (True becomes False). |
3. Coherence and Recombination (OUT:COHERE+RECOMB)
In a computational or scientific context, Recombination is where fragmented data (FRAG) is synthesized into a unified output. This involves ensuring that the vector data and the logic gate triggers do not contradict each other.