#### The Novice level

demonstrates little or no evidence of understanding the mathematical concepts of the task. The student does not have enough knowledge to successfully engage with the problem and requires re-teaching.

**This student work does not meet the standard.**

#### The Apprentice level

has the broadest range, from a student who is just beginning to demonstrate mathematical understanding to a student who almost meets the standard. The student is able to begin the problem, but not reach a successful solution. This may be because they have a conceptual misunderstanding or because they make a simple calculation error. There may or may not be an attempt to make a mathematical connection or representation.

**This student work does not meet the standard.**

#### The Practitioner level

meets the standard and is proficient in understanding the underlying mathematics of the task. The student has a suitable strategy leading to a correct answer and a full solution. There is an appropriate mathematical connection and representation.

**This student work meets the standard.**

#### The Expert level

goes beyond the standard and shows a deeper understanding of the underlying mathematics. The achievement level of Expert is not a common occurrence when assessing student work. At least some of the mathematical language or notations used exceed grade level. Mathematical connections extend the solution to other mathematics or to a deeper understanding of the mathematics in the task. A representation analyzes relationships and interprets phenomenon.

**This student work meets and exceeds the standard.**