Figure 7
A composite photograph showing hand-drawn bar models labeled “M”, “P”, and “A” with tick marks and calculations.The composite photograph shows two panels containing hand-drawn bar model diagrams and calculations on a board. In the left panel, three horizontal bar segments are arranged vertically and labeled on the left as “M”, “P”, and “A”. Each bar is divided by small tick marks indicating equal parts. The top bar labeled “M” contains several evenly spaced tick marks along the line. The middle bar labeled “P” contains fewer tick marks with one marked point along the segment. The bottom bar labeled “A” contains multiple tick marks and two marked points along the line. To the right of the bars, a bracket groups the three rows, and the number “12” is written next to the bracket. In the right panel, additional bar models appear with short horizontal segments divided by tick marks. The top row labeled P equals A 3 contains a longer bar with multiple evenly spaced tick marks. The second row labeled A, a shorter bar with two marked points along the segment. The third row contains another horizontal bar labeled “M equals P divided by 2”, with tick marks showing equal subdivisions. To the right of these diagrams, the calculation “55 divided by 11” is written.

Visualisation in backward method

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