# 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 (V9.0) content descriptions
AC9M1N01
Recognise, represent and order numbers to at least 120 using physical and virtual materials, numerals, number lines and charts

AC9M1N03

Quantify sets of objects, to at least 120, by partitioning collections into equal groups using number knowledge and skip counting

AC9M2N04
Add and subtract one- and two-digit numbers, representing problems using number sentences and solve using part-part-whole reasoning and a variety of calculation strategies

Numeracy progression Number and place value (P4, P5)
Counting processes (P6)