Clear instruction and logical topic sequence 

Building knowledge from first principles gives students a solid foundation in mathematics, encourages deeper conceptual understanding and supports long-term retention. This approach also prepares students for success in higher levels and provides a smoother transition from upper primary to secondary and senior mathematics.

NEW curriculum topics include the volume of prisms in Year 7, time zones in Year 8, data sampling methods in Year 9, and logarithmic scales, networks and combinatorics in Year 10.

Carefully graded exercises and logical topic development cater to a wide range of student abilities and builds students’ understanding step by step.

Each concept is explained clearly, and in a way that is both easy to understand and respects students’ ability to engage with real mathematics, helping students comprehend not just what to do, but why it works.

Hands-on activities that promote real-world mathematical thinking

The NEW dedicated Incorporating algorithmic thinking chapters in each title build intuitive problem-solving skills, are hands-on, visual and apply algorithmic thinking to mathematical reasoning – helping students develop logical reasoning and computational fluency in a hands-on, accessible way:

Years 5 and 6 introduce function machines, flowcharts, and Scratch programming, as students explore how everyday processes can be broken into clear, logical steps.

Years 7 to 10 evolves into more sophisticated algorithm design, Python programming, and applications in geometry, data, and algebra.

 
NEW Questions from the Australian Maths Trust’s Algorithmics competitions are also included for each year level. The questions are written by leading educators, academics and industry experts and are designed to assess students’ ability to think algorithmically. 

NEW First Nations people and mathematics activities, such as predicting lunar cycles or modelling fire behaviour, invite students to explore mathematical ideas through cultural contexts and to engage with and value Aboriginal and Torres Strait Islander knowledge and perspectives through rich, curriculum-aligned mathematical investigations.

A range of investigation problems promote inquiry and real-world application. They are complemented by substantial problem‑solving sections within two Review and problem-solving chapters and extended exercises in each Years 7-10 book, to encourage students to reason, model, and communicate mathematically.

Tools to help students clarify and challenge their learning

NEW Every worked example across Years 5-10 is now supported by a short video demonstration making it easier for students to revisit key concepts and learn at their own pace.

NEW Every exercise question in Years 7-10 now includes a fully worked solution in the Interactive Textbook (if enabled by the teacher) to provide students with a reliable way to check their working and learn from mistakes. Exercises are carefully graded to support growth, and explanations focus on the maths itself, giving students the tools to think, reason and succeed.

Every chapter in Years 5 and 6 concludes with a Challenge activity - typically one or two connected problems to encourage more complex thinking.

In Years 7-10, Challenge exercises offer trickier, open-ended problems that extend students’ thinking and support deeper engagement with mathematical modelling.

Enhanced learning opportunities with fully integrated digital support in the 
Interactive Textbook

Auto-marked quizzes to give students immediate feedback on their progress.
 
Downloadable versions of the in-book Challenge exercises and answer sheets.
 
Immediate links to AMSI’s own extensive online supplementary content.
 
Workspaces that allow students to enter their working directly into the Interactive Textbook.