My PreCalc students have been studying the graphs and equations of sine and cosine for a month (an interrupted month but a month nonetheless). Tuesday they will have one final day to review before their test on Thursday (we run an alternating day block schedule). Some students are completely ready. They can identify transformations, graph complex equations, and write equations from both graphs and descriptions. They can apply their knowledge to a novel context (we did a Ferris wheel project). Other students still have to think about what the graph of y=sin(x) looks like. This is the widest range of students I've ever had in an Honors PreCalculus course so I'm really appreciative that Desmos made the activity builder just in time for this class! It's a great way for me to differentiate.
Last week while working on the Ferris wheel project when I had some students who had no idea how to write an equation given their more complicated graph, I sent them to Rachel's activity builder Curve Fitting w/ Sine and Cosine that went back to the basics of equation writing. They wrote the equation for a graph with amplitude not equal to one, then I referred them back to their Ferris wheel to identify the amplitude and put it into their equation. It was great because it was self checking and students experienced some success working simpler problems when they were frustrated with the complex problem I'd posed.
Tuesday I want to create a similar situation - so I built a couple different activities.
Graphing Basic Trig Equations
This starts all the way back with y=sin(x) so my students who are lost can start back at the beginning and practice the whole unit all over again. When we sketch a graph, students plot the important points and then fill in the curve. I recreated this activity on Desmos by having students drag points on a grid. Then they can check their work by un-hiding the curve.
Sine and Cosine Graphs with Multiple Transformations
Students will describe, graph and write equations for functions with multiple transformations. This one is aligned with what will be on the test.
I would love feedback on these activities! (Especially if you can provide it before 7:24 am on Tuesday.) I'll let you know how they go after that.