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# Place value: numbers to 20, 50 and 100

This guide provides a sequence of steps for building place value understanding, from exploring two-digit numbers in terms of their parts through to fostering reasoning and problem-solving with worded problems.

Year level(s) Year 1, Year 2
Audience Teacher
Purpose Teaching resource, Teaching strategies
Teaching strategies and pedagogical approaches Questioning, Concrete Representational Abstract model, Explicit teaching
Keywords place value, place value chart, base 10, counting, comparing numbers, ordering numbers, skip-counting, number line, ten frame, reasoning, problem-solving, explicit teaching

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Number, Build understanding
Topics Addition and subtraction, Place value
AC: Mathematics content descriptions
ACMNA012 Develop confidence with number sequences to and from 100 by ones from any starting point. Skip count by twos, fives and tens starting from zero
ACMNA013 Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line
ACMNA014 Count collections to 100 by partitioning numbers using place value
ACMNA015 Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts
ACMNA026 Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and tens from any starting point, then moving to other sequences
ACMNA030 Solve simple addition and subtraction problems using a range of efficient mental and written strategies