Maths Exploration: Ratios, Proportions and Similarity

Stretch your students’ mathematical imaginations to their limits as they solve challenging real-world and mathematical problems that extend concepts from the Australian Curriculum: Mathematics. Model the solar system, count the fish in a lake, choose the best gear for a bike ride, solve a school’s overcrowding problem and explore the mysteries of the Fibonacci numbers and the golden ratio. Each activity comes with extensive teacher support including student handouts, discussion guides, detailed solutions and suggestions for extending the investigations.

The Maths Explorations series provides teachers with the perfect resource to extend students’ learning with the Australian Curriculum: Mathematics. Each exploration in this book, and the series, is tailored to engage students in the mathematics content, as well as promote the use of practical skills. While these activities have not been designed to correlate directly with Australian Curriculum: Mathematics content descriptions, the knowledge and skills that students develop as they learn curriculum content form the basis of their understanding in approaching the explorations here.

The activities in this book are the ideal extension for gifted students using the Australian Curriculum: Mathematics, and will ensure that advanced learners remain engaged with their work in the classroom while practising essential skills.