### Calculating intervals across zero

In this lesson, we will investigate and model problems involving negative numbers.

Skip navigation# Unit Overview: Problem solving with whole numbers and decimals

## Lessons:

### Calculating intervals across zero

### Solving problems involving division with remainders (Part 1)

### Solving problems involving division with remainders (Part 2)

### Calculating and interpreting the mean as an average

### Developing strategies to plan and solve problems

### Adding 2 or more numbers mentally

### Calculating across zero

### Investigating properties of number

### Exploring properties of palindromic numbers

### Exploring properties of number

10 lessons

In this lesson, we will investigate and model problems involving negative numbers.

In this lesson, we will investigate and model division problems, and we will interpret remainders.

In this lesson, we will investigate and model division problems to allow opportunities to practise interpreting remainders.

In this lesson, we will investigate problems involving calculating the mean average of a set of numbers.

In this lesson, we will investigate and model multiple-step worded problems involving money.

In this lesson we will introduce the term 'consecutive numbers'. We will identify patterns when adding 2 or more consecutive numbers.

In this lesson, we will be adding and taking away consecutive numbers and spotting patterns in answers.

In this lesson, we will investigate the terms 'palindromic numbers' and 'iterations'.

In this lesson we explore conjectures involving palindromic numbers and multiples of 11.

In this lesson, we will explore multiples of 9. We will also look at divisibility checks for numbers that may be multiples of 9.

Units in Maths

- Number sense and exploring calculation strategies
- Place value
- Graphs
- Addition and subtraction
- Length and perimeter
- Multiplication and division
- Deriving multiplication and division facts
- Time
- Fractions
- Angles and shape
- Measures
- Securing multiplication and division
- Exploring calculation strategies and place value
- Fractions: parts and wholes
- Reasoning with 4-digit numbers
- Addition and subtraction
- Multiplication and division
- Interpreting and presenting data
- Securing multiplication facts
- Fractions
- Time
- Decimals
- Area and perimeter
- Solving measure and money problems
- 2-D Shape and Symmetry
- Position and Direction
- Reasoning with patterns and sequences
- 3D Shape
- Working with fractions
- Taking fractions further
- Reasoning with large whole numbers
- Problem solving with integer addition and subtraction
- Line graphs and timetables
- Multiplication and division
- 2-D shape, perimeter and area
- Fractions and decimals
- Angles
- Fractions, decimals and percentages
- Transformations
- Converting units of measure
- Calculating with whole numbers and decimals
- 2-D and 3-D shape
- Volume
- Problem solving with whole numbers and decimals
- Equivalent fractions
- Integers & Decimals
- Multiplication and division
- Calculation problems
- Fractions
- Missing angles and lengths
- Coordinates and shape
- Fractions
- Decimals and measures
- Percentages and statistics
- Proportion problems
- Extending calculation strategies and additive reasoning

- Doubling and halving
- Addition and subtraction within 10
- Exploring calculation strategies within 20
- Money
- Measures
- 2-D shape, perimeter and area
- Numbers to 50
- Manipulating and calculating with fractions
- Fractions
- Fractions and decimals
- Conceptualising and comparing fractions
- Numbers 50 to 100 and beyond
- Reasoning with large whole numbers
- Converting units of measure
- Numbers to 10
- Solving measure and money problems
- Addition and subtraction within 20
- Addition and subtraction (applying strategies)
- Numbers within 1000
- Place value
- Problem solving with integer addition and subtraction
- Volume
- Positive and negative numbers
- Numbers within 10
- Numbers within 15
- Addition and subtraction within 20
- Measures (1): Length and mass
- Measures (2): Capacity and volume
- Addition and subtraction of 2-digit numbers
- Fractions
- Multiplication and division
- Multiplication and division
- Axioms and arrays
- Prime factor decomposition
- Indices and standard form
- Time
- Addition and subtraction of 2-digit numbers (regrouping and adjusting)
- Area and perimeter
- Numbers and numerals
- Percentages
- Fractions
- Measures: Length
- Numbers beyond 20
- Time
- Securing multiplication facts
- Addition and subtraction within 10
- Measures: Mass
- Number sense and exploring calculation strategies
- Addition and subtraction
- Securing multiplication and division
- Position and Direction
- Pattern and Early Number
- Addition and subtraction word problems
- Fractions
- Decimals
- Multiplication and division: 3 and 4
- Multiplication and division: 2, 5 and 10
- Measures: Capacity and volume
- Addition and subtraction
- Extending calculation strategies and additive reasoning
- Deriving multiplication and division facts
- Calculating with whole numbers and decimals
- Integers & Decimals
- Multiplication and division
- Grouping and Sharing
- Surds and trigonometry
- Numbers within 6
- Numbers within 100
- Exploring calculation strategies
- Time
- Exploring calculation strategies and place value
- Multiplication and division
- Factors and multiples
- Graphs
- Graphs
- Reasoning with 4-digit numbers
- Reasoning with patterns and sequences
- Calculation problems
- Numbers within 20
- Money
- Multiplication and division
- Fractions, decimals and percentages
- Decimals and measures
- Early Mathematical Experiences
- Order of operations
- Depth of numbers within 20
- Numbers to 20
- Addition and subtraction within 20 (comparison)
- Addition and subtraction within 6
- Accuracy and estimation
- Money
- Length and perimeter
- Fractions
- Fractions
- Problem solving with whole numbers and decimals