The Math Map Lesson 10: Intersected Lines
Since Classical Conversations released The Math Map in 2023, I’ve gone through the 30 lessons at least 5 times in various forms, as a tutor, a teacher at home, and “lead learner” trying to understand concepts I never learned in school myself. This year, as I prep each week (taking my Challenge class through it on Community Day, in addition to using it at home with my four youngest children), I’m writing a post on each lesson, sharing things I’ve found helpful or offering some suggestions in hopes of making it less intimidating to those just getting started.
Tips for Lesson 10: Intersected Lines
- Invention (i2 page) There are so many concepts on this page, so you could spend a lot of time here. I recommend asking what is familiar, having the student explain it to you, and then picking one other box to focus on.
- Memoria and Arrangement (i3page)
- This chart is a great introduction to concepts that will come up in future lessons. First, we just attend to the page to notice the patterns. If no one mentions it, I point out the relationship between angles and circles, which might not be obvious at first glance, but is important to understanding each of the concepts listed in the chart.
- Just like memorizing their multiplication facts helps with quick problem-solving later on, memorizing the information on this chart will save lots of time later. I recommend starting with the 90° counter-clockwise increments around the circle, as well as the radians associated with each. (I highlighted those in yellow on my chart.) Then once those are mastered, start working on the 45° degree increments (highlighted in pink), etc.
- Charts – The charts for this lesson contain a lot of the same information as the i2 and i3pages, so for the first few years through TMM, I don’t spend much time on them except to look for familiar concepts.
Other help as you explore Lesson 10:
- I have found The Math Map Book Club to be a great resource, but there are so many episodes out there, it can be a bit overwhelming. If you just want to focus on this specific lesson, here’s my YouTube Playlist of Book Club videos about Lesson 10: Intersected Lines (with episodes from 2023 to the present).
Just for fun:
- For our first year with TMM, I made these paper plate angle spinners with my students to demonstrate the idea of initial/terminal sides. They also help demonstrate the relationship between angles and circles.
- Some learning styles might find this helpful:
- For younger students, Sir Cumference and the Great Knight of Angleland by Cindy Neuschwander is a fun way to explore measuring angles.
