Proportional thinking is essential in the solution of many problems. This may not be immediately apparent and may not be accessible through a single technique such as the unitary method. The underlying ideas need to be developed systematically.
This is a website with a selection of CPD resources including teaching ideas from the Secondary National Strategy, chosen to support planning, teaching and assessment. It includes a section on proportional reasoning which starts by reviewing why developing proportional reasoning is so important and establishes links between different strands of mathematics. The resources include a proportional reasoning summary table that can be used to gain an overview of the teaching and learning support available in the four related sections which are fractions, ratio, scaling, proportional sets. The resources include comprehensive teacher notes and related resources.
Each of the four sections includes aspects of proportional reasoning which pupils find hard to understand and which are often overlooked in text books. Here is the structure of each section:
an overview of concepts and relationships
an outline of associated language and notation, supported by teacher notes for short mental activities
suggestions for making connections through supporting images, along with teacher notes and resources.