Ray's New Primary Arithmetic · Lesson LVIII · Unit 6: Division

58. Dividing by 7

Goal: Your child knows how many times 7 is contained in each number up to 70, and uses it in story problems.

⏱ About 15 minutes · 7 steps

Open it at the Internet Archive ↗

You'll need

  • About 20 small counters: dried beans, buttons, pennies or pebbles (the book suggests marbles, beans or pebbles)
  • A slate, small whiteboard or paper and pencil

What's in the book

The table from "7 in 7, 1 time" to "7 in 70, 10 times", with the matching facts the other way round, then story problems on buying, sharing and measures. The first has a worked solution.

The lesson, step by step

  1. Warm up

    Ask five facts from the 7 times table. Division is the times table backwards.

  2. Build it with counters

    Put out 21 beans. Ask: How many groups of 7 can you make? Make them and count the groups.

    Say it the book's way: "7 in 21, 3 times."

  3. Link to multiplying

    Ask: 3 times 7 are how many? So 7 is contained in 21 three times.

  4. Read the table

    Read the table on the book page together, then alone.

  5. Cover and recall

    Cover the answers and ask the facts out of order.

  6. Story problems

    Read the problems aloud. They go like this:

    If you divide 14 apples into piles, containing 7 apples each, how many piles will there be?

    If a man travels 42 miles in 6 hours, how far does he go in 1 hour?

    The book's answers sound like this: "You can buy as many as 7 cents are contained times in ..."

  7. Wrap up

    Your child writes three division facts and the times-table fact that goes with each.

Afterwards

Mix this table into the daily warm-up with the 7 times table.

Answers to the book's problems

1. 2 piles. 2. 3 pineapples. 3. 4 melons. 4. 5 peaches each. 5. 7 miles. 6. 7 cents a quart. 7. 7 trees in each row. 8. 7 yards. 9. 10 dollars.

Worked out for this site from the scan. If a number in your copy differs, trust the book.

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