## Key concepts

There are a number of key concepts that underpin the study of mathematics. Pupils need to understand these concepts in order to deepen and broaden their knowledge, skills and understanding.

**1.1 Competence**

**a Applying suitable mathematics accurately within the classroom and beyond.**

**b Communicating mathematics effectively.**

**c Selecting appropriate mathematical tools and methods, including ICT.**

**1.2 Creativity**

**a Combining understanding, experiences, imagination and reasoning to construct new knowledge.**

**b Using existing mathematical knowledge to create solutions to unfamiliar problems.**

**c Posing questions and developing convincing arguments.**

**1.3 Applications and implications of mathematics**

**a Knowing that mathematics is a rigorous, coherent discipline.**

**b Understanding that mathematics is used as a tool in a wide range of contexts.**

c Recognising the rich historical and cultural roots of mathematics.

**d Engaging in mathematics as an interesting and worthwhile activity.**

**1.4 Critical understanding**

**a Knowing that mathematics is essentially abstract and can be used to model, interpret or represent situations.**

**b Recognising the limitations and scope of a model or representation.**