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This lesson explores the connection between multiplying a number by a decimal and the addition of the same number and decimal multiplied by 10. By asking if this always happens, the students investigate place value using simple algebra. The resource includes the prompt, teacher notes and inquiry prompts.

Year level(s) Year 7
Audience Teacher
Teaching strategies and pedagogical approaches Collaborative learning, Explicit teaching, Mathematics investigation, Questioning
Keywords decimal, place value, multiplication

## Curriculum alignment

Curriculum connections Critical and creative thinking, Numeracy
Strand and focus Algebra, Number, Build understanding
Topics Decimals, Place value, Multiples, factors and powers
AC: Mathematics content descriptions
ACMNA175 Introduce the concept of variables as a way of representing numbers using letters
ACMNA177 Extend and apply the laws and properties of arithmetic to algebraic terms and expressions
ACMNA129 Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies
ACMNA130 Multiply and divide decimals by powers of 10
National numeracy learning progression Quantifying numbers - QuN9
Operating with decimals
Number patterns and algebraic thinking