Sharing Garden — Lesson 94: Dividing by 6, 7, 8 and 9, and checking

What your child does, card by card

Dividing by 6, 7, 8 and 9, and checking. 56 ÷ 8 = 7, because 7 × 8 = 56. PlayType opens the lesson: “Check it. Multiply back.”

Watch me: 42, 32, 37, 35, 25, 28, 21, 11, 14, 4, 9 and 7 appear on the beads one move at a time, each bead ringed in green before it goes. Take 7 away six times. Check: 6 × 7 = 42.

56 ÷ 8 = 7: how many 8s make 56? The beads work the column line by line, zero, 8, 16, 24, 32, 40, 48 and 56, while the sum sheet below lights each line and ticks it; “8 16 24 32”, “40 48 56” and “7 eights” light up as the total grows. Count by 8s. Seven steps reach 56.

Try it: your child works out 56 ÷ 8, 7 × 8, 54 ÷ 9, 6 × 9, 48 ÷ 6 and 8 × 6, with a green ring on the next bead to move.

Then a short practice without rings: work out 63 ÷ 7, 72 ÷ 8, 36 ÷ 6, 81 ÷ 9 and 49 ÷ 7, each round starting from its own number.

Then the beads hide and the sums 56 ÷ 7, 45 ÷ 9 and 54 ÷ 6 are done in the head, the answer picked from 5, 8 and 9.

You're ready! Count up to share, then check by multiplying back.

What this lesson trains

14 answers in about five minutes. The tasks take 24 bead moves in all: 12 with a top bead and 12 with bottom beads. The largest is 56: tens and ones. Then 3 quick looks in your head.

Your child’s first moves: work out 56 ÷ 8, 7 × 8, 54 ÷ 9, 6 × 9, 48 ÷ 6 and 8 × 6.

The sum sheet

Below the abacus a sum sheet replaces the hands: it writes the column out, lights the line your child is on and ticks each line done; the total appears after the last line. The beads hold the running total the whole way down.

What PlayBuddy and PlayType say

PlayType: “Check it. Multiply back.”

PlayBuddy: “How many eights make fifty-six? Seven eights. So fifty-six shared by eight is seven.”

Stars

Three stars for up to 1 slip in 14 answers, two stars for up to 3.