# Proficiency Strands

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Proficiency Strands

## 1. Problem Solving

### 1.1. Develop ability to

1.1.1. make choices

1.1.2. interpret

1.1.3. formulate

1.1.4. model

1.1.5. investigate

1.1.6. communicate

### 1.2. Formulate and solve problems

1.2.1. represent unfamiliar

1.2.2. represent meaning

1.2.4. plan their approaches

1.2.5. apply existing strategies

1.2.6. seek solutions

## 2. Understanding

### 2.1. Knowledge of mathematical concepts

2.1.2. transferable

### 2.2. Make connections

2.2.1. between related ideas

2.2.2. apply to new ideas

2.3.1. why

2.3.2. how

### 2.4. Build understanding

2.4.1. connect related ideas

2.4.2. represent concepts in different ways

2.4.3. identify commonalities and differences

2.4.4. describe their thinking

2.4.5. interpret mathematical information

## 3. Reasoning

### 3.1. Develop for logical thought and action

3.1.1. analysing

3.1.2. proving

3.1.3. evaluating

3.1.4. explaining

3.1.5. inferring

3.1.6. jusifying

3.1.7. generalising

### 3.2. Reason mathematically when

3.2.1. explaining their thinking

3.2.2. justify strategy used

3.2.3. justify conclusions reached

3.2.4. adapt known to the unknown

3.2.5. transfer learning from one context to the other

3.2.6. prove something is true or false

3.2.7. compare and contrast related ideas

3.2.8. explain their choices

## 4. Fluency

### 4.2. Carrying out procedures

4.2.1. accurately

4.2.2. efficiently

4.2.3. appropriately

4.2.4. flexibly

### 4.3. Recalling

4.3.1. factual knowledge

4.3.2. concepts