Hi {{custom.firstName}},

 

After writing all of these emails to you, I am no longer sure it’s possible for any one of us to know math on our own!

 

Here is what I mean. In the synthesis from Friendly Angles, we ask students to “describe as many angle relationships as you can.”

lesson synthesis question

It’s a question that’s designed so no one student can answer it fully, or identically to any other student. Here are three student responses chosen at random from thousands of students:

  • Angles B and C together can become a supplementary angle. Together, Angles A and B can become a right angle.
  • C has an angle of about 120 degrees and B has an angle of about 60 degrees. A has an angle of about 30 degrees and D has an angle of 60 degrees. This means C is supplementary while B A and D are complementary.
  • B+A+C+D=270, B+C=Supplementary, B+A= Complementary

As a teacher, this is a great opportunity to share with students the angle relationships that you noticed. And you also have the opportunity to endear your students to each other, to math, and to you, by highlighting their brilliance as well.

 

I encourage you to snapshot their work. Point to those snapshots on the screen. Talk about the connections you’re seeing, the observations that make each response unique, and help students understand that all of us are smarter than any one of us!

 

Happy math-ing!

 

Dan & the Desmos Classroom Team

PS. Please give us feedback on the last lesson.

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Great advice from other teachers.

Brookline, MA.

 

Here's an easy extension for early finishers. Head to True Equations and ask students to tell you how they could make one of the false equations true.