Relevancy can be used as a way to engage students, and we have lots of embedded activities that show how Mathematics is relevant.
About 12% of our subtopics are purely application based - asking students to apply mathematics to a real-world situation. A quick search of the term "application" will bring up those subtopics!
In addition to practice problems, we also have teacher-developed investigations that allow students to explore practical connections through an activity. These are some of my favorites in high school content. (Note: must be logged in to view)
- Relationship between shoulder span and height (investigation)
- Town planning (investigation)
- Rocket quadratics (investigation)
- Pendulums (investigation)
- Running a marathon (investigation)
- Sine waves and music (investigation)
- Sports team analysis (investigation)
- Surface area of the body (investigation)
- Building bridges (investigation)
- Reading and using plans and elevations
- Modelling tsunami movement with a radical equation (investigation)
We also find that math can be engaging to students for the exact opposite reason -- because it is an escape from the real world. For that reason, we've embedded activities rich in pure mathematics as well. Here are a few:
By including both pure and applied mathematics throughout Mathspace, we can engage students in their own interests or even spark new ones!