Ray's New Intellectual Arithmetic · Lesson XVII · Unit 2: Multiplying and dividing
17. The division table
Goal: Your child knows the division facts up to 132 ÷ 12.
You'll need
- The book page (press “📖 Book page”, or use a printed copy)
- Paper for jotting, though the work is meant to be done in the head
What's in the book
The division table only, from 2 ÷ 2 to 132 ÷ 12.
The lesson, step by step
Warm up
Ask three or four problems from the last lesson again, out of order. Your child answers and says why.
Show the reasoning
Read it as the multiplication table backwards.
Say7 is contained in 56 eight times, because 8 times 7 are 56.
Drill out of order, a table a day.
Work the problems aloud
Read each problem on the page aloud. Your child answers, then explains in a full sentence, the way the book's model solutions do. The problems go like this:
7 in 56?
9 in 108?
12 in 84?
Ask “Why?”
After each answer ask “Why?” or “How do you know?” Ray's wants the reasoning said aloud, not just the number. If your child stalls, go back to the model and say the first half of the explanation together.
Wrap up
Pick the two problems that were hardest today. Tomorrow, start with those as the warm-up.
Afterwards
Do the rest of the lesson's problems over the next day or two, a few at a time. Move on when your child can explain them without help.