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# reSolve: Authentic Problems: 10,000 Centicubes

This sequence of four lessons integrates content in number and measurement to deepen students' understanding and confidence working with larger numbers. Students work flexibly with numbers up to 10,000 as they determine suitable dimensions for a container that can hold 10,000 centicubes. They are challenged to plan, construct and justify their ideal container. The unit also provides opportunities for building the concepts of informal and formal units of volume. Each lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources. This sequence is part of the reSolve: Mathematics by Inquiry special topic 'Authentic Problems'.

Year level(s) Year 4
Audience Teacher
Purpose Teaching resource
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords fractions, place value, decimals, centicubes, multiplication

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Number, Build understanding, Apply understanding, Measurement
Topics Multiplication and division, Mass and capacity
AC: Mathematics content descriptions
ACMNA073 Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
ACMNA076 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder
ACMNA079 Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation
ACMMG290 Compare objects using familiar metric units of area and volume
National numeracy learning progression Multiplicative strategies - MuS5
Understanding units of measurement - UuM7