Developing Proportional Reasoning N6

In this resource from the DfE Standards Unit, students reflect on the reasoning they currently use when solving proportion problems, examine proportion problems and appreciate their
multiplicative structure and create their own variants of proportion problems. Proportional reasoning is notoriously difficult for many students and many have difficulty in recognising the multiplicative structures that underlie proportion problems. Instead, they use addition methods,
or informal methods using doubling, halving and adding. This session aims to expose and build on this prior learning. Students are given four direct proportion problems to solve, taken
from different areas of the mathematics curriculum. They then compare their methods for solving these with methods produced by other students. This leads to a discussion that compares the use of more primitive informal methods that use adding, doubling and
halving with the use of more sophisticated methods that use multiplication. (GCSE grades D -F)

Show health and safety information

Please be aware that resources have been published on the website in the form that they were originally supplied. This means that procedures reflect general practice and standards applicable at the time resources were produced and cannot be assumed to be acceptable today. Website users are fully responsible for ensuring that any activity, including practical work, which they carry out is in accordance with current regulations related to health and safety and that an appropriate risk assessment has been carried out.

Downloads

You might also like

Resource collection
Resource collection
Resource collection
Resource collection

Published by

Actions

Share this resource

Collections

This resource is part of Improving learning in mathematics

Lists that tag this content

Math Stuff, POSTED BY

Comments

Colin P Yorkshi...

Colleagues,

 

This work on proportional reasoning is just too crucial to not be incorporating into our everyday teaching. Is it about time to re review the standards unit in the next faculty development session?