# Big Ideas

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Big Ideas

## 1. Number

### 1.1. Place value

1.1.1. Base ten system

1.1.2. Fractions

1.1.3. Decimal place value

### 1.2. Trusting the count

1.2.1. Conservation of number regardless of order

1.2.2. Categorisation

1.2.3. Subitising

1.2.3.1. Visualise pattern formations instead of counting by 1:1 correspondence

1.2.3.2. Amount/quantity

1.2.4. Number sequence

1.2.4.1. Counting on and back

1.2.4.2. Relational reasoning

1.2.4.2.1. Skip counting

1.2.4.2.2. More/less

1.2.4.3. Stable-order rule/ seriation

1.2.4.4. Negative numbers

1.2.4.5. Whole numbers

1.2.4.6. Number word and matching symbol

## 2. Probability

### 2.1. Multiplicative thinking

2.1.1. Percentages

2.1.2. Statistics

2.1.3. Likelihood

2.1.4. Factoring

## 3. Algebra

### 3.2. Generalising Algebraic reasoning

3.2.1. Exponents

3.2.2. Simplifying

3.2.3. Transformation

3.2.4. Order of operations

3.2.5. Equations and inequalities

### 3.3. (Multiplicative) partitioning

3.3.1. Equivalence