Number Patterns
Gr 11

The Grade 11 Number Patterns module builds on the foundational sequence work from earlier grades and introduces learners to more advanced techniques for analysing and generalising patterns. This chapter strengthens algebraic reasoning and prepares students for the formal study of arithmetic and geometric sequences in Grade 12.

Learners revise linear patterns before progressing to quadratic patterns, exploring how constant first differences indicate linear growth, while constant second differences indicate quadratic behaviour. The lessons cover determining the general term TnT_nTn​ for both linear and quadratic sequences, generating terms efficiently, and interpreting pattern rules in algebraic form. Students also work with real-life contexts, tables, and diagrams, learning to identify patterns, justify their reasoning, and apply nth-term expressions to solve problems.

By the end of this module, learners will be able to recognise different types of patterns, construct general terms accurately, and use algebraic techniques to analyse sequences—providing a strong foundation for the formal arithmetic and geometric series studied in Grade 12.