Resources by Centre for Research in Mathematics Education (CRME)

Using positive and negative numbers in context

This lesson develops the concept of using directed numbers in the practical context of temperatures and temperature change. Particular attention is paid to the use of directed numbers on number lines to explore the structures:

• Starting temperature + Change in temperature = Final temperature
• ...

Using proportional reasoning

This lesson develops the concept of classifying relationships between two quantities. In particular, students will:

• Describe a ratio relationship between two quantities
• Compare ratios expressed in different ways
• Use proportional reasoning to solve a real-world problem

An...

Using space efficiently: packing a truck

This is a problem solving lesson, designed to help you assess how well students are able to:

• Reason precisely and defend their conclusions
• Use mathematics to model a scenario concerning volume

The problem is set in the context of packing a truck in the most efficient way possible...

Using standard algorithms for number operations

This lesson develops the concept of making sense of the standard algorithms for addition, subtraction, multiplication, and division of positive integers. In particular students will work on the following areas:

• Improving conceptual understanding of why and how the algorithms work.
• Developing...

Yogurt

This task is designed to assess how well students understand proportional reasoning and measures set in a practical situation.

The task is set in the context of a company producing tubs of yoghurt. There is a series of questions relating to production that include calculating; profits, stocking of the...