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)

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!

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