His Treasure Seekers

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 6: Division

• I love the art work on this booklet. “God divided the light from the darkness…” Such a great way to start our math week! We talk about all the different words we use for dividing: split, group, separate…
• Division is unique in math in that there are so many different ways we express it:
  ÷ ( called an obelus— Challenge students are good at determining the plural, obeli, and naming it as a 2nd Declension masculine noun), division bracket/house, fraction, ratio, percent
• Invention (p. i²) There are several similarities to the Invention pages from the last 3 lessons. We compare what’s the same and what’s new.
• Memoria &Arrangement (p. i³) Many of the addition and multiplication laws are familiar to the students (especially if they did Foundations), so it’s easy to compare those to the subtraction and division laws. There are so many patterns here. Most When looking for something unfamiliar, I see if the students can spot the ⇒. Unless they’ve been going through the Notations flashcards, they probably don’t know to read it as “implies” or “if ___, then ___.”
• Charts: C6:1 is a great reference for all the “grammar” related to addition. C6:2 looks at division in different domains. C6: 3 is helpful for comparing the different expressions of division. C6:4 walk through the process of long division, as well as working with polynomials expressions, which will be really helpful for the older Challenge students to understand, but I probably wouldn’t touch it with anyone under high school unless they’re just fascinated by math.
• I don’t often touch on the game/activity from the back cover, but on this booklet, I actually find it a helpful reference when completing some of the lesson pages, because it lists the decimal, ration, and percent form of various fractions.

Other help as you explore Lesson 6:

• 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 6: Division (with episodes from 2024 to the present–I can’t seem to find the 2023 discussion on Naturals anywhere). Included in this playlist are several episode from Summer 2026 that were about division or fractions, even though they weren’t specifically going through the booklet for Lesson 6.