算数に強くなる!水道方式【水道方式とは何か】

算数を理解するための最善の方法

3位数のひき算(型分け)

小学生の計算練習の最初の天王山が3位数の加減算です。
全部の型を与える必要はありませんが、未定着な箇所や理解が難しい場合は、スモールステップで集中的に取り組めば良いと思います。

2-9分類法による指導順序

[水源地]
\begin{array}{rr} & 999 \\ - &   222 \\ \hline \end{array}
\begin{array}{rr} & 992 \\ - &   222 \\ \hline \end{array}

\begin{array}{rr} & 990 \\ - &   220 \\ \hline \end{array}

\begin{array}{rr} & 929 \\ - &   222 \\ \hline \end{array}

\begin{array}{rr} & 909 \\ - &   202 \\ \hline \end{array}

\begin{array}{rr} & 992 \\ - &   202 \\ \hline \end{array}

\begin{array}{rr} & 990 \\ - &   200 \\ \hline \end{array}

\begin{array}{rr} & 929 \\ - &   220 \\ \hline \end{array}

\begin{array}{rr} & 909 \\ - &   200 \\ \hline \end{array}

\begin{array}{rr} & 922 \\ - &   222 \\ \hline \end{array}

\begin{array}{rr} & 920 \\ - &   220 \\ \hline \end{array}

\begin{array}{rr} & 902 \\ - &   202 \\ \hline \end{array}

\begin{array}{rr} & 900 \\ - &   200 \\ \hline \end{array}

\begin{array}{rr} & 999 \\ - &   220 \\ \hline \end{array}

\begin{array}{rr} & 999 \\ - &   202 \\ \hline \end{array}

\begin{array}{rr} & 999 \\ - &   200 \\ \hline \end{array}

\begin{array}{rr} & 299 \\ - &   222 \\ \hline \end{array}

\begin{array}{rr} & 299 \\ - &   220 \\ \hline \end{array}

\begin{array}{rr} & 299 \\ - &   202 \\ \hline \end{array}

\begin{array}{rr} & 299 \\ - &   200 \\ \hline \end{array}

\begin{array}{rr} & 292 \\ - &   222 \\ \hline \end{array}

\begin{array}{rr} & 292 \\ - &   202 \\ \hline \end{array}

\begin{array}{rr} & 290 \\ - &   220 \\ \hline \end{array}

\begin{array}{rr} & 290 \\ - &   200 \\ \hline \end{array}

\begin{array}{rr} & 229 \\ - &   222 \\ \hline \end{array}

\begin{array}{rr} & 229 \\ - &   220 \\ \hline \end{array}

\begin{array}{rr} & 209 \\ - &   202 \\ \hline \end{array}

\begin{array}{rr} & 209 \\ - &   200 \\ \hline \end{array}

\begin{array}{rr} & 222 \\ - &   222 \\ \hline \end{array}

\begin{array}{rr} & 220 \\ - &   220 \\ \hline \end{array}

\begin{array}{rr} & 202 \\ - &   202 \\ \hline \end{array}

\begin{array}{rr} & 200 \\ - &   200 \\ \hline \end{array}

\begin{array}{rr} & 999 \\ - &   22 \\ \hline \end{array}

\begin{array}{rr} & 999 \\ - &   20 \\ \hline \end{array}

\begin{array}{rr} & 990 \\ - &   220 \\ \hline \end{array}

\begin{array}{rr} & 992 \\ - &   22 \\ \hline \end{array}

\begin{array}{rr} & 990 \\ - &   20 \\ \hline \end{array}

\begin{array}{rr} & 929 \\ - &   22 \\ \hline \end{array}

\begin{array}{rr} & 929 \\ - &   20 \\ \hline \end{array}

\begin{array}{rr} & 922 \\ - &   22 \\ \hline \end{array}

\begin{array}{rr} & 920 \\ - &   20 \\ \hline \end{array}

\begin{array}{rr} & 999 \\ - &   2 \\ \hline \end{array}

\begin{array}{rr} & 909 \\ - &   2 \\ \hline \end{array}

\begin{array}{rr} & 992 \\ - &   2 \\ \hline \end{array}

\begin{array}{rr} & 902 \\ - &   2 \\ \hline \end{array}

\begin{array}{rr} & 999 \\ - &   0 \\ \hline \end{array}

\begin{array}{rr} & 990 \\ - &   0 \\ \hline \end{array}

\begin{array}{rr} & 909 \\ - &   0 \\ \hline \end{array}

\begin{array}{rr} & 900 \\ - &   0 \\ \hline \end{array}
[くり下がり1回/十位→一位]
\begin{array}{rr} & 992 \\ - & 229 \\ \hline \end{array}
\begin{array}{rr} & 992 \\ - &   209 \\ \hline \end{array}

\begin{array}{rr} & 990 \\ - & 229 \\ \hline \end{array}

\begin{array}{rr} & 990 \\ - & 209 \\ \hline \end{array}

\begin{array}{rr} & 932 \\ - & 229 \\ \hline \end{array}

\begin{array}{rr} & 930 \\ - & 229 \\ \hline \end{array}

\begin{array}{rr} & 912 \\ - & 209 \\ \hline \end{array}

\begin{array}{rr} & 910 \\ - & 209 \\ \hline \end{array}

\begin{array}{rr} & 292 \\ - & 229 \\ \hline \end{array}

\begin{array}{rr} & 292 \\ - & 209 \\ \hline \end{array}

\begin{array}{rr} & 290 \\ - & 229 \\ \hline \end{array}

\begin{array}{rr} & 290 \\ - & 209 \\ \hline \end{array}

\begin{array}{rr} & 232 \\ - & 229 \\ \hline \end{array}

\begin{array}{rr} & 230 \\ - & 229 \\ \hline \end{array}

\begin{array}{rr} & 212 \\ - & 209 \\ \hline \end{array}

\begin{array}{rr} & 210 \\ - & 209 \\ \hline \end{array}

\begin{array}{rr} & 992 \\ - & 29 \\ \hline \end{array}

\begin{array}{rr} & 990 \\ - & 29 \\ \hline \end{array}

\begin{array}{rr} & 932 \\ - & 29 \\ \hline \end{array}

\begin{array}{rr} & 930 \\ - & 29 \\ \hline \end{array}

\begin{array}{rr} & 992 \\ - & 9 \\ \hline \end{array}

\begin{array}{rr} & 990 \\ - & 9 \\ \hline \end{array}

\begin{array}{rr} & 912 \\ - & 9 \\ \hline \end{array}

\begin{array}{rr} & 910 \\ - & 9 \\ \hline \end{array}
[くり下がり1回/百位→十位]
\begin{array}{rr} & 929 \\ - & 292 \\ \hline \end{array}
\begin{array}{rr} & 929 \\ - & 290 \\ \hline \end{array}

\begin{array}{rr} & 909 \\ - & 292 \\ \hline \end{array}

\begin{array}{rr} & 909 \\ - & 290 \\ \hline \end{array}

\begin{array}{rr} & 922 \\ - & 292 \\ \hline \end{array}

\begin{array}{rr} & 920 \\ - & 290 \\ \hline \end{array}

\begin{array}{rr} & 902 \\ - & 292 \\ \hline \end{array}

\begin{array}{rr} & 900 \\ - & 290 \\ \hline \end{array}

\begin{array}{rr} & 329 \\ - & 292 \\ \hline \end{array}

\begin{array}{rr} & 329 \\ - & 290 \\ \hline \end{array}

\begin{array}{rr} & 309 \\ - & 292 \\ \hline \end{array}

\begin{array}{rr} & 309 \\ - & 290 \\ \hline \end{array}

\begin{array}{rr} & 322 \\ - & 292 \\ \hline \end{array}

\begin{array}{rr} & 320 \\ - & 290 \\ \hline \end{array}

\begin{array}{rr} & 302 \\ - & 292 \\ \hline \end{array}

\begin{array}{rr} & 300 \\ - & 290 \\ \hline \end{array}

\begin{array}{rr} & 929 \\ - & 92 \\ \hline \end{array}

\begin{array}{rr} & 929 \\ - & 90 \\ \hline \end{array}

\begin{array}{rr} & 909 \\ - & 92 \\ \hline \end{array}

\begin{array}{rr} & 909 \\ - & 90 \\ \hline \end{array}

\begin{array}{rr} & 922 \\ - & 92 \\ \hline \end{array}

\begin{array}{rr} & 920 \\ - & 90 \\ \hline \end{array}

\begin{array}{rr} & 902 \\ - & 92 \\ \hline \end{array}

\begin{array}{rr} & 129 \\ - & 92 \\ \hline \end{array}

\begin{array}{rr} & 129 \\ - & 90 \\ \hline \end{array}

\begin{array}{rr} & 109 \\ - & 92 \\ \hline \end{array}

\begin{array}{rr} & 109 \\ - & 90 \\ \hline \end{array}

\begin{array}{rr} & 122 \\ - & 92 \\ \hline \end{array}

\begin{array}{rr} & 120 \\ - & 90 \\ \hline \end{array}

\begin{array}{rr} & 102 \\ - & 92 \\ \hline \end{array}

\begin{array}{rr} & 100 \\ - & 90 \\ \hline \end{array}
[くり下がり2回]
\begin{array}{rr} & 922 \\ - &   299 \\ \hline \end{array}
\begin{array}{rr} & 920 \\ - &   299 \\ \hline \end{array}

\begin{array}{rr} & 922 \\ - &   229 \\ \hline \end{array}

\begin{array}{rr} & 920 \\ - &   229 \\ \hline \end{array}

\begin{array}{rr} & 322 \\ - &   299 \\ \hline \end{array}

\begin{array}{rr} & 320 \\ - &   299 \\ \hline \end{array}

\begin{array}{rr} & 322 \\ - &   229 \\ \hline \end{array}

\begin{array}{rr} & 320 \\ - &   229 \\ \hline \end{array}

\begin{array}{rr} & 922 \\ - &   99 \\ \hline \end{array}

\begin{array}{rr} & 920 \\ - &   99 \\ \hline \end{array}

\begin{array}{rr} & 920 \\ - &   29 \\ \hline \end{array}

\begin{array}{rr} & 920 \\ - &   29 \\ \hline \end{array}

\begin{array}{rr} & 122 \\ - &   99 \\ \hline \end{array}

\begin{array}{rr} & 120 \\ - &   99 \\ \hline \end{array}

\begin{array}{rr} & 122 \\ - &   29 \\ \hline \end{array}

\begin{array}{rr} & 120 \\ - &   29 \\ \hline \end{array}

\begin{array}{rr} & 902 \\ - & 29 \\ \hline \end{array}

\begin{array}{rr} & 902 \\ - &  99 \\ \hline \end{array}

\begin{array}{rr} & 900 \\ - &  99 \\ \hline \end{array}

\begin{array}{rr} & 102 \\ - &   29 \\ \hline \end{array}

\begin{array}{rr} & 100 \\ - &   29 \\ \hline \end{array}

\begin{array}{rr} & 102 \\ - &   99 \\ \hline \end{array}

\begin{array}{rr} & 100 \\ - &   99 \\ \hline \end{array}
[くり下がり1回/お爺さん型]
\begin{array}{rr} & 902 \\ - &   229 \\ \hline \end{array}
\begin{array}{rr} & 900 \\ - &   229 \\ \hline \end{array}

\begin{array}{rr} & 902 \\ - &   209 \\ \hline \end{array}

\begin{array}{rr} & 900 \\ - &   209 \\ \hline \end{array}

\begin{array}{rr} & 902 \\ - &   299 \\ \hline \end{array}

\begin{array}{rr} & 900 \\ - &   299 \\ \hline \end{array}

\begin{array}{rr} & 302 \\ - &   229 \\ \hline \end{array}

\begin{array}{rr} & 300 \\ - &   229 \\ \hline \end{array}

\begin{array}{rr} & 302 \\ - &   209 \\ \hline \end{array}

\begin{array}{rr} & 300 \\ - &   209 \\ \hline \end{array}

\begin{array}{rr} & 302 \\ - &   299 \\ \hline \end{array}

\begin{array}{rr} & 300 \\ - &   299 \\ \hline \end{array}

\begin{array}{rr} & 902 \\ - &   29 \\ \hline \end{array}

\begin{array}{rr} & 900 \\ - &   29 \\ \hline \end{array}

\begin{array}{rr} & 902 \\ - &   99 \\ \hline \end{array}

\begin{array}{rr} & 900 \\ - &   99 \\ \hline \end{array}

\begin{array}{rr} & 102 \\ - &   29 \\ \hline \end{array}

\begin{array}{rr} & 100 \\ - &   29 \\ \hline \end{array}

\begin{array}{rr} & 102 \\ - &   99 \\ \hline \end{array}

\begin{array}{rr} & 100 \\ - &   99 \\ \hline \end{array}

\begin{array}{rr} & 902 \\ - &   9 \\ \hline \end{array}

\begin{array}{rr} & 900 \\ - &   9 \\ \hline \end{array}

\begin{array}{rr} & 102 \\ - &   9 \\ \hline \end{array}

\begin{array}{rr} & 100 \\ - &   9 \\ \hline \end{array}

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