Ray's New Intellectual Arithmetic · Lesson XIII · Unit 2: Multiplying and dividing

13. The multiplication table to 12 × 12

Goal: Your child knows the times tables to 12 × 12 and the words multiplicand, multiplier and product.

⏱ About 15 minutes · 5 steps

Open it at the Internet Archive ↗

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

Definitions of multiplication, multiplicand, multiplier, product and the sign ×, then the full table from 1 × 1 to 12 × 12, then drills such as “4 times 7 are how many?”

The lesson, step by step

  1. Warm up

    Ask three or four problems from the last lesson again, out of order. Your child answers and says why.

  2. Show the reasoning

    Read the definitions together. Then read one table a day, aloud, and drill it out of order.

    Say4 times 7 are 28.

    The 11s and 12s are new if your child came from the Primary book, which stops at 10.

  3. 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:

    8 times 6? 6 times 9? 9 times 7?

    12 times 2? 2 times 10? 3 times 6?

    11 times 9? 10 times 10? 12 times 11?

  4. 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.

  5. 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.

Tip

This lesson is really a week or more of work. Do one or two tables a day and keep the slow facts on cards.

Answers to the book's problems

1) 28. 2) 16, 35, 42. 3) 48, 54, 63. 4) 72, 49, 56. 5) 24, 20, 18. 6) 50, 44, 36. 7) 64, 66, 18. 8) 70, 48, 40. 9) 6, 8, 10. 10) 12, 14, 15. 11) 20, 36, 22. 12) 24, 25, 33. 13) 60, 72, 30.

Worked out for this site from the scan. If a number in your copy differs, trust the book. Every answer is in Ray's own Key ↗.

@teddyrookbook GitHub