These curriculum examples extend the central model into varied contexts. They are learning contexts, not extra definitions to memorise.
E1
reading, writing and naming numerals and ordering two-digit numbers from zero to at least 120, using patterns within the natural number system, including numbers that look and sound similar; for example, 16, 60, 61 and 66
Try and explain: Read 17, 70 and 71. Which is greatest? Explain using tens and ones.
Answer and teaching point
71 is greatest: it has seven tens and one one. 70 has seven tens with no extra ones; 17 has only one ten.
E2
using number tracks or positioning a set of numbered cards in the correct order and relative location by pegging on an empty number line
Try and explain: Place 42 between 40 and 50 on an equally spaced number line. Is it closer to 40 or 50?
Answer and teaching point
It is closer to 40: two steps after 40 and eight steps before 50. The spaces must represent equal increases.
E3
using hundreds charts to build understanding and fluency with numbers; for example, collaboratively building a hundreds chart using cards numbered from zero to 99; colour code the count of tens in a hundreds chart using one colour to represent the number of tens and another to represent the number of ones
Try and explain: On a chart with ten numbers in each row, 34 is directly above 44. What changes when moving down one row?
Answer and teaching point
The number increases by ten. The tens count changes from three to four, while the ones digit stays four.
E4
recognising that numbers are used in all languages and cultures but may be represented differently in words and symbols; for example, through kanji numbers in Japanese and characters in Chinese, and that there are alternate numeration systems; for example, using special characters for 10 and 100 and other multiples of 10 in Japanese and Chinese numeration
Try and explain: Two cards use different written symbols. Each card is matched to a collection of seven dots. Must the amounts be different?
Answer and teaching point
No. Different words or symbols can represent the same quantity. Counting both collections gives seven.