NSW Government Education website provides a great overview of strategies and activities to support students in their ability to reason with number patterns promoting the ‘Think Aloud Strategy.’
re(Solve) is a Mathematics and Numeracy website with many inquiries aligned to the Australian curriculum created by the Australian Government Department of Education. This link provides two tasks, Counter Toss and Number Letter Box which builds the learners algebraic thinking through explorations of additive number patterns.
Youcubed is a website with many Mathematical and Numeracy resources created by Jo Boaler, Professor of Education at Stanford University. The investigation, Square upon Squares, asks learners to reflect on “How do you see the shapes growing?”
Youcubed is a website with many Mathematical and Numeracy resources created by Jo Boaler, Professor of Education at Stanford University. The Ice-Cream Scoop task is an open-ended inquiry allowing learners to engage at different levels, exploring growing patterns which can also extend to working in combinatorics.
In Year 3 students begin to explore patterns which progress through steps or sequences. These are referred to as growing patterns. When exploring growing patterns encourage students to:
Adapted from: Van de Walle. J and Lovin.L, Teaching Student Centred Mathematics: Grades K-3, 2006