← Calculus methods
How this connects to your other standards
This standard is not a sealed topic. Read this first if you are also taking one of the standards below.Related in other Level 2 standards
The most direct links:
Graphical methods (91257, internal): the same graph-family and feature-reading skills, applied to a gradient function Sketching a function's gradient graph from its own graph (and vice versa) is the graph-transformation skill from that internal, applied specifically to the f(x)/f'(x) relationship — recognising intercepts, turning points and shape transfers directly between the two. Mechanics (91171): the kinematics chain is the same chain Differentiating displacement to get velocity to get acceleration (and integrating back the other way) is exactly the s-v-a chain used throughout that physics standard — the calculus is identical, only the labels change. ✓The big picture in one sentence
Every part of this paper is one of two operations (differentiate or integrate) applied to a real scenario — identify which direction the question needs before reaching for either.Reading which direction a question needs
- Given f(x), asked for a gradient, tangent, or turning point → DIFFERENTIATE.
- Given f'(x) (the gradient function) and a point on the ORIGINAL curve, asked to find f(x) → INTEGRATE, then use the point to find +c.
- Given an area under a curve, or a rate to convert into a total quantity → INTEGRATE.
- Given displacement and asked for velocity or acceleration (or the reverse) → follow the kinematics chain in the direction the question needs.