How can this topic be used in your students’ future courses in mathematics or science? Finally, to prove that students understood the material, each pair will come up with a sketch of a transformation of sine or cosine and trade with another pair of students, in which they must figure out the corresponding equation that matches the given graph. After all the equations have been graphed and sketched, each pair will move on to the next part of the activity in which they must manipulate the equation asin(bx+c)+d and acos(bx+c)+d on desmos where a,b,c, and d are all numerical sliders that can be adjusted to help students visually interpret what transformation they represent. The pair will switch roles after each equation, so both students understand how to interpret and draw a given sine or cosine equation. One student will enter the equation onto desmos and the other student will draw the graph on a separate worksheet. In this activity students will be in pairs and must complete a worksheet that list different forms of the equation sine and cosine that illustrate some of the transformations for sine and cosine. How could you as a teacher create an activity or project that involves your topic?Īn activity for students to understand how to graph sine and cosine could consist the use of website desmos (Reference 1). His topic, from Precalculus: graphing sine and cosine functions. This student submission comes from my former student Christian Oropeza. I plan to share some of the best of these ideas on this blog (after asking my students’ permission, of course). Instead, I asked my students to think about three different ways of getting their students interested in the topic in the first place. In other words, the point of the assignment was not to devise a full-blown lesson plan on this topic. In my capstone class for future secondary math teachers, I ask my students to come up with ideas for engaging their students with different topics in the secondary mathematics curriculum.
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