Sine Rule

[trixie007]

There was a thread recently which mentioned the Sine and Cosine rules. Out of interest could I enquire the pupil age range who would be expected to master the part dealing with labelling the circle, and drawing the graph. TIA.

[fiction-factory]

Please can you clarify what you mean by (a) labelling the circle and (b) drawing the graph.
For (a) do you mean the ASTC labelling? If so I think it's still KS5
and (b) do you mean plotting graphs of sin x, cos x and tan x. if so then it's KS4 (age 14-16), but only for higher GCSE students

[Prudie]

Well I learnt the Sine and Cosine rules in the equivalent of year 10 (14/15 years old) however that was part of triangle calculations. I can't think where it fits specifically with labelling circles and graph drawing.

[fiction-factory]

This ASTC diagram
https://i.ytimg.com/vi/NQGywH7yrTw/hqdefault.jpg

[Buenchico]

The Sine and Cosine Rules are in the GCSE Maths syllabus and are therefore encountered within school years 10 or 11. Maths teachers aren't constrained by the syllabus as to the order in which they teach the elements of it (except,of course, where one section of the syllabus builds upon an earlier part) but, in practice, it's more likely that those rules wouldn't be encountered until around the start of Year 11. (i.e. at about 15 years of age).

However basic skills related to graphs begin at primary level and are developed much further around school years 8 and 9 (i.e. 12 to 14 years).

[zebo]

Labelling a circle will happen in stages, these rules are about triangles though. A child will know diameter, radius and maybe circumference before leaving primary school, later chord, secant etc will come in secondary school.
Sides of a triangle are usually labelled A, B and C and the angles are facing their capital letter equivalent ab b and c. It is only those aiming for the higher levels would be expected to use the Sine and Cosine rules. In a right angled triangle C is usually the hypotenuse, facing the right angle.
I'm not sure about the graph you're referring to though, there are graphs for each trig ratio but again they're usually for the Higher level.

[fiction-factory]

Under the new 'more rigourous' GCSE maths syllabus trig is tending to be introduced in year 9 now for right angled triangles. (Probably back to where it was usually first taught in the O level days).

[fiction-factory]

I'm pretty sure trixie is asking about more than labelling chords, sectors, segments, tangents, arcs, diameter, circumference and radius etc (age 12?) as she is asking in the context of sine and cosines, so i think she is referring to the circle in the diagram here
https://i.ytimg.com/vi/NQGywH7yrTw/hqdefault.jpg

[fiction-factory]

^ and these graphs
https://www.mathsisfun.com/algebra/trig-sin-cos-tan-graphs.html

[trixie007]

Sorry FF, I was referring to the data on the thread. I wondered about the ability range age-wise only.

[fiction-factory]

Thanks.
If you can find the thread and give a link to it I'll see if I can work out what you need and how it relates to circles and graphs