Acute, Right or Obtuse: Why Pupils Get Angles Wrong
Long sides, a tilted right angle, an “almost right” angle judged by eye: three common traps and simple set square checks to get past them.
Read the articleA Roman numerals chart from 1 to 100, the 7 symbols, the 4 rules for writing them and the mistakes pupils make most often (IIII, IL, VV), with a game to practise.
Pupils meet Roman numerals everywhere: on clock faces, in chapter headings, in the names of kings and queens and in film credits. Yet many read XL as 60 or write IIII for 4. With 7 symbols and 4 rules, the whole system fits on one page.
I is 1, V is 5, X is 10, L is 50, C is 100, D is 500 and M is 1000. The values always grow the same way: multiply by 5, then by 2, and so on (1, 5, 10, 50, 100, 500, 1000). There is no symbol for zero: the Romans did not need one to write their numbers.
The fourth rule is the most useful in class: it links Roman numerals to the place value pupils already know.
Each row starts with a ten; each column adds ones. To write 47, take the row for 40 (XL) and the column for 7 (VII): XLVII. 100 is C.
| tens + ones | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | – | I | II | III | IV | V | VI | VII | VIII | IX |
| 10 | X | XI | XII | XIII | XIV | XV | XVI | XVII | XVIII | XIX |
| 20 | XX | XXI | XXII | XXIII | XXIV | XXV | XXVI | XXVII | XXVIII | XXIX |
| 30 | XXX | XXXI | XXXII | XXXIII | XXXIV | XXXV | XXXVI | XXXVII | XXXVIII | XXXIX |
| 40 | XL | XLI | XLII | XLIII | XLIV | XLV | XLVI | XLVII | XLVIII | XLIX |
| 50 | L | LI | LII | LIII | LIV | LV | LVI | LVII | LVIII | LIX |
| 60 | LX | LXI | LXII | LXIII | LXIV | LXV | LXVI | LXVII | LXVIII | LXIX |
| 70 | LXX | LXXI | LXXII | LXXIII | LXXIV | LXXV | LXXVI | LXXVII | LXXVIII | LXXIX |
| 80 | LXXX | LXXXI | LXXXII | LXXXIII | LXXXIV | LXXXV | LXXXVI | LXXXVII | LXXXVIII | LXXXIX |
| 90 | XC | XCI | XCII | XCIII | XCIV | XCV | XCVI | XCVII | XCVIII | XCIX |
Writing a number in Roman numerals starts with splitting it into hundreds, tens and ones, which makes it a good time to revisit place value.
Long sides, a tilted right angle, an “almost right” angle judged by eye: three common traps and simple set square checks to get past them.
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