not sure what age they start teaching sin and cosine and tangent at. In any case, watch your mail and keep those stiff single sheet card stock advertisement. They work for practice and for the real thing if you want (I keep a bunch of them, I use them to cut templates, and as a quick way to measure and draw right angles when I need to, as well as using them for nose pyramids.)
Assuming a roughly symmetrical nose pyramid (You CAN make it flat edged, but will run into some mild stability issues, none of which can't be fixed with some nose weight), each triangular facet is an isosceles triangle. Bisect it lengthwise and you get two right triangles.
Decide how big you want your pyramid to be. Decide how many sides you want it to have (6 might be good for this design, but 3, 4,5, and even 7 may work. 8 may be overkill and not look right.)
Now play with sin, cosine, and a protractor to get the lengths and the angles. For beginners, just cut out one facet as a template, then use it to draw adjacent triangles. Use the non-sharp side of your knife or a small point pen to "score" to long sides, it will make folding much easier. Leave tabs on the free edges to either connect two pyramids (one forward and one back) or if you use a single pyramid, to attach to some sort of nose cone base . Because card stock is cheap, it is easy to play with a bunch of different numbers and sizes of facets, while using Trigonometry. Great teaching moment. Have fun!