Syllabus bites

Syllabus bites resources support the delivery of specific aspects of NSW syllabuses for the Australian curriculum in English, mathematics, science and history. They explore content that is new or has changed and meet syllabus requirements across stages 1–5.



Browse the following Mathematics Syllabus bites by stage:

Stage 3

Stage 4

  • Direct proportion – interactive applets and dynamic geometry software allow students to explore quantities in direct proportion No. 2.
  • Flipping and sliding – exploration of transformations on the Cartesian plane No. 3.
  • Frenzied flipping – exploration of transformations on the Cartesian plane No. 2.
  • Graphing direct proportion – students draw graphs to represent relationships between variables in direct proportion No.3.
  • Indirect proportion – students explore inverse (indirect) proportion in a variety of contexts No.5.
  • Introducing Venn diagrams – interactive activities, in which students explore, interpret and draw Venn diagrams with two attributes.
  • Mixing it up – exploration of transformations on the Cartesian plane No.5.
  • More Venn diagrams – an interactive exploration of Venn diagrams with three attributes.
  • Revisiting proportion – students revise the concept of ratio and create short visual explanations showing how problems can be solved.
  • The language of Venn diagrams – interactive activities supporting students learning to describe regions of a Venn diagram.
  • Turbo turning – exploration of transformations on the Cartesian plane No. 4, focussing on rotation of points.
  • Using Venn diagrams to solve problems – worked examples and guided exercises to assist students learning to use Venn diagrams as an organiser for solving mathematical problems.
  • Venn diagrams and two-way tables – an interactive exploration of the relationship between Venn diagrams and two-way tables.

Stage 5

  • Proportionality problems – students use graphs, equations and numerical methods to solve problems involving direct and indirect proportion No.4

Science and technology K-6

  • Aboriginal astronomy (Science and technology Stage 3) – examples of how Australian aboriginals used astronomy to manage daily activities and explain the origins of features in the environment.
  • Electricity (Stage 3) – making decisions about the use of electricity is approached from an understanding of circuits, sources and sustainability.

Science 7-12

  • Biotechnology (Stage 5 and 6) – a definition of biotechnology and exploration of both its potential benefits and harms from scientific and ethical perspectives.
  • Caring for Country (Stage 4) – information and resources on how the traditional knowledge of Aboriginal and Torres Strait Islander peoples is being used to make better land management decisions.
  • Solving world problems with biotechnology (Stage 4) – students explore the history of biotechnology and how it contributes to solving real-world problems.
  • Traditional knowledge and sustainable ecosystems (Stage 5) – students assess how the knowledge and cultural practices of Aboriginal and Torres Strait Islander peoples is being used to conserve and manage sustainable ecosystems.


  • Ancient China (Stage 4, study 3, The Asian world: China) – explores the geography, social structure and daily life of ancient China.
  • Ancient India (Stage 4, study 3, The Asian world: India) – information, study guide and resources about India.
  • Explore a source (Stage 3, 4 and 5) – information, study guide and resources on the process of analysing and evaluating historical sources.
  • The first emperor (Stage 4) – the role of Qin Shi Huang in ancient Chinese history.
  • The Polynesian expansion (Stage 4) – information, study guide and resources on Polynesian and Maori history.
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