Sharing Garden — Lesson 93a: Sharing facts
Dividing by 6, 7, 8 and 9, and checking →Lesson 93a: Division facts: count up on an abacus
Level 8, Sharing Garden. You can count by 2, 3, 4, 5 and 10. Counting gives the answer.
What your child does, card by card
Sharing facts. 20 ÷ 5: how many 5s make 20? PlayBuddy opens the lesson: “Dividing means sharing fairly.”
12 ÷ 3 = 4: one each, four rounds. The beads work the column line by line, 12, 9, 6, 3 and zero, while the sum sheet below lights each line and ticks it; “1 each: 9 left”, “2 each: 6 left”, “3 each: 3 left” and “4 each: 0 left” light up as the total grows. Four 3s went away.
20 ÷ 5 = 4: count by 5s up to 20. The beads work the column line by line, zero, 5, 10, 15 and 20, while the sum sheet below lights each line and ticks it; “1: 5”, “2: 10”, “3: 15” and “4: 20” light up as the total grows. Four steps: 4 each.
Watch me: 2, 4, 9, 6, 8, 10, 12, 14, 19, 16 and 18 appear on the beads one move at a time, each bead ringed in green before it goes. Count by 2s to 18. Nine steps: 9 each.
Try it puts a green ring on each next bead; your child goes from 0 to 5, works out 5 + 5, works out 10 + 5, works out 15 + 5, works out 20 ÷ 5, goes from 0 to 10, works out 10 + 10, works out 20 + 10, works out 30 ÷ 10, goes from 0 to 4, works out 4 + 4, works out 8 + 4, works out 12 + 4 and works out 16 ÷ 4.
A tiny practice with no ring: work out 8 ÷ 2, 15 ÷ 3, 30 ÷ 10, 9 ÷ 3 and 16 ÷ 4, each round starting from its own number.
Then the beads hide and the sums 10 ÷ 5, 18 ÷ 2 and 30 ÷ 10 are done in the head, the answer picked from 2, 3 and 9.
You're ready! To share by a number, count by it and count the steps.
What this lesson trains
22 answers in about five minutes. The tasks take 25 bead moves in all: 8 with a top bead and 17 with bottom beads. Numbers reach 30, so the tens rod and the ones rod work. Then 3 quick looks in your head. 5 of the 16 sums need a friend (“+5 = −5 +10”, “+4 = +5 −1” and “+4 = −6 +10”); the others use free beads.
The first thing your child does: go from 0 to 5, work out 5 + 5, work out 10 + 5, work out 15 + 5, work out 20 ÷ 5, go from 0 to 10, work out 10 + 10, work out 20 + 10, work out 30 ÷ 10, go from 0 to 4, work out 4 + 4, work out 8 + 4, work out 12 + 4 and work out 16 ÷ 4.
The sum sheet
In Column Tower the lower window is a sum sheet instead of the hands: the column written out one line under another, the line being worked in yellow, the lines done ticked, and the total once the last line is in. The beads keep the running total, so the abacus is never cleared in the middle of a column.
What PlayBuddy and PlayType say
PlayBuddy: “Dividing means sharing fairly.”
PlayType: “One cookie each: three cookies go. Again, again, and again. Four times: four cookies each!”
Stars
With 2 or fewer slips across the 22 answers your child earns three stars; 5 or fewer, two.