1. Reasoning
1.1. Develop for logical thought & actions
1.1.1. Analysing
1.1.2. Provinig
1.1.3. Evaluating
1.1.4. Explaining
1.1.5. Inferring
1.1.6. Justifying
1.1.7. Generalising
1.2. Reason mathematically
1.2.1. Explain their thinking
1.2.2. Justify their strategies used
1.2.3. Justify the conclusions reached
1.2.4. Adapt to what is unknown
1.2.5. Transfer learning from one context to another
1.2.6. Prove something that is true or false
1.2.7. Compare & contrast related ideas
1.2.8. Explain their choices
2. Problem-Solving
2.1. Develop their ability to make choices
2.1.1. Interpret
2.1.2. Formulate
2.1.3. Model
2.1.4. Investigate
2.1.5. Communicate Solutions
2.2. Formulate & Solve Problems
2.2.1. Represent unfamiliar
2.2.2. Meaningful situations
2.2.3. Design Investigations
2.2.4. Plan their approach
2.3. Apply Existing Strategies
2.3.1. Seek solutions
2.3.2. Verify answers
3. Fluency
3.1. Develop skills in choosing procedures
3.1.1. Carrying out procedures flexibly
3.1.2. Accurately
3.1.3. Efficiently
3.1.4. Appropriately
3.1.5. Recall factual knowledge
3.1.6. Concepts
3.2. Fluent when they calculate answers effectively
3.2.1. Recognise robust ways of answering questions
3.2.2. When they choose appropriate methods
3.2.3. Approximations
3.2.4. Recall definitions
3.2.5. Use facts
3.2.6. Manipulate expressions & equations to find solutions
4. Understanding
4.1. Build knowledge
4.1.1. Adaptable
4.1.2. Transferable
4.2. Connections
4.2.1. Related concepts
4.2.2. Progressively apply familiar to develop new ideas
4.3. Develop understanding
4.3.1. Relationship between how & why
4.4. Connect related ideas
4.4.1. Represent concepts in different ways
4.4.2. Identify commonalities
4.4.3. Differences between . content
4.4.4. Describe their thinking mathematically
4.4.5. Interpret mathematical information