![]() x(90 cos 40)t y6+(90 sin 40)t-16t 2 This is the parametric equation for x. and cities that were near the equator (all the temperatures stayed basically the same all year). Explore math with the fast and powerful Desmos Graphing Calculator. We introduced sine and cosine functions as a mechanism for spinning. and about north of the equator and south of the equator cities (one student's data was warm in January and cold in August). For our third week of workshops we continued using Desmos as a drawing and animation. It made for some interesting conversations about "not normal" data points (I picked Timbuktu, Mali, and the year's data had a cold snap for 4 months that should have been hot). Each point on the curve y cos (x) is given by (x,cos (x)). Given y sin (x), each point on the curve is given by (x, sin (x)). You may also drag the orange point around the circle to manually trace the curves. Most importantly, YES they could guess and check, but it would be WAY better to think things through and come up with an equation first and some justification for the 4 key values as we practiced and then play around. Choose a graph to trace: Sine, Cosine, or both Click on Start Animation to begin or stop the trace. ![]() I asked them to do what we just did to find an equation that would model their weather data. It uses a desmos applet to let students explore the effect of changing the parameters in yAsin(B(x-h))+k on the graph of the function. Then we went on the laptops and they brought up their weather data. We talked it through and then got an equation. Then they had to find the amplitude/vertical shift/horizontal shift/period. I have adored using the free Desmos Graphing Calculator in my lessons for a few. I made sure to wait until I heard things I wanted before I committed them to the paper. Same Desmos as Slope and Y-Intercept from a Table, but this includes writing the equation too. Sine Rule, Cosine Rule and Area of a Triangle: Interactive Resources. I then prompted them for numbers, and then got (say) the "28" for the top x value and the max (71) and min (-31) y values. I made them just draw a generic sine graph with no axes or numbers around it.
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