Patterns and algebra teaching resources

Patterns and algebra is a fundamental strand within the Australian Mathematics Curriculum, focusing on the study of repeating and growing patterns, sequences, and the use of algebraic reasoning to describe relationships between numbers, shapes, and variables. This area of mathematics helps students make sense of the world by identifying regularities, understanding how things change, and predicting future events based on observed patterns.

In primary school, the patterns and algebra strand introduces students to identifying, creating, and continuing patterns using objects, shapes, and numbers. As students progress, they learn to describe patterns using words or symbols, represent simple relationships using number sentences, and begin to use variables. In secondary years, the focus shifts towards more abstract reasoning, involving expressions, equations, and functions, which lay the groundwork for higher-level mathematics and problem-solving.

Understanding patterns and algebra is crucial for developing logical thinking, problem-solving abilities, and mathematical fluency. It helps students recognise relationships, generalise from specific examples, and develop strategies for working with numbers and operations. These skills are applicable across all areas of mathematics, as well as in other STEM subjects and real-world contexts such as coding, finance, and science.

Teachers use patterns and algebra resources to facilitate hands-on activities, interactive explorations, and inquiry-based learning. Such resources might include pattern blocks, number patterns, visual aids, algebra tiles, games, and digital tools. Teachers might encourage students to find patterns in nature, music, or art, or to solve open-ended problems that require algebraic thinking. By engaging with patterns and algebra, students develop a deeper understanding of mathematical concepts and become more confident in tackling complex problems.