1. Fluency
1.1. Students Develop Skills
1.1.1. Choosing appropriate procedures
1.1.2. Carrying out procedures
1.1.3. Recall factual knowledge and concepts
1.2. Students are Fluent
1.2.1. Calculate answers
1.2.2. Recall definitions
1.2.3. Recognise robust ways of answering questions
1.2.4. Choose appropriate methods and approximations
1.2.5. Regularly use facts
1.2.6. Manipulate expression/equations to find solutions
2. Problem Solving
2.1. Problem Situations
2.1.1. Make choices
2.1.2. Interpret
2.1.3. Formulate
2.1.4. Model
2.1.5. Investigate
2.1.6. Communicate solutions
2.2. Formulate and Solve Problems
2.2.1. Design investigations
2.2.2. Plan approaches
2.2.3. Apply existing strategies
2.2.4. Seek solutions
2.2.5. Verify their answers are reasonable
2.2.6. Use mathematics to represent situations
3. Understanding
3.1. Student's Knowledge
3.1.1. Adaptable
3.1.2. Transferable
3.2. Make Connections
3.2.1. Between related ideas
3.2.2. Apply to new ideas
3.3. Develop Understanding
3.3.1. Why
3.3.2. How
3.4. Students Build Understanding
3.4.1. Connect related ideas
3.4.2. Represent concepts in different ways
3.4.3. Identify commonalities and differences
3.4.4. Interpret math information
3.4.5. Describe their thinking
4. Reasoning
4.1. Reasoning Mathematically
4.1.1. Explain thinking
4.1.2. Justify strategies used
4.1.3. Justify conclusions
4.1.4. Adapt the known to the unknown
4.1.5. Transfer learning from one context to another
4.1.6. Prove something 'true' or 'false'
4.1.7. Compare/contrast related ideas
4.1.8. Explain choices
4.2. Develop Sophistication Capacity
4.2.1. Logical thoughts and actions
4.2.1.1. Analysing
4.2.1.2. Proving
4.2.1.3. Evaluating
4.2.1.4. Explaining
4.2.1.5. Inferring
4.2.1.6. Justifying