What is the gradient of a curve and how might it be useful?
What do we mean by the area ‘under’ a curve and what might it represent?
What do we mean by the rate of change of a physical quantity and how do we represent this?
How can we make deeper connections between the appearance of a graph and the features of its equation?
|Building blocks||A tangent is ...|
|Building blocks||Is the Serpentine Lake really 40 acres?|
|Scaffolded task||Zooming in|
|Problem requiring decisions||Discussing distance|
|Investigation||Talking about curves|
|Building blocks||Gradient match|
|Building blocks||Speed vs velocity|
|Many ways problem||Rectangles in triangles|
|Problem requiring decisions||Approximating areas|
|Food for thought||Average speed|
|Food for thought||Problem areas|
|Investigation||Underneath the arches|
|Bigger picture||Why are gradients important in the real world?|
|At what time would these two trains meet?||R5782|
|Can the trapezium rule help us find the area under $y = x\ln x$?||R7903|
|Can we apply the trapezium rule to $f(x) = x/2 - \lfloor x/2 \rfloor$?||R8140|
|Can we approximate the area under this sine curve?||R7912|
|Can we calculate the total time taken for this car journey?||R7250|
|Can we use the trapezium rule to estimate this integral?||R6592|
|What's the average speed of the second car?||R7140|
|When does the trapezium rule give the exact answer here?||R5642|
|When is this parabola's turning point nearest to the origin?||R9506|