### Four colour map theorem

In this lesson, we will think about a famous, long-standing, maths problem that has been recently solved known as the four colour theorem.

Skip navigation# Unit Overview: Famous maths problems

## Lessons:

### Four colour map theorem

### The twin prime conjecture

### 3D Coordinates

### The Painted Cube

4 lessons

In this lesson, we will think about a famous, long-standing, maths problem that has been recently solved known as the four colour theorem.

In this lesson, we will learn about a famous unsolved maths problem called the twin prime conjecture.

In this lesson, we will introduce the 3D coordinate planes, and solve problems involving 3D coordinates.

In this lesson, we will look at the painted cube problem.

Units in Maths

- Numbers and numerals
- Axioms and arrays
- Factors and multiples
- Order of operations
- Positive and negative numbers
- Expressions, equations and inequalities
- Angles
- Classifying 2-D shapes
- Constructing triangles and quadrilaterals
- Coordinates
- Area of 2-D shapes
- Transforming 2-D figures
- Prime factor decomposition
- Conceptualising and comparing fractions
- Manipulating and calculating with fractions
- Ratio
- Percentages
- Different number systems
- Sequences
- Forming and solving equations
- Forming and solving inequalities
- Linear graphs
- Accuracy and estimation
- Algebra and problem solving
- Ratio (8.6a)
- Ratio, real life graphs, and rates of change
- Direct and indirect proportion
- Univariate data
- Bivariate data
- Famous maths problems
- Angles and parallel lines
- Angles in polygons
- Bearings
- Volume and surface area of prisms
- Area review
- Circles
- FDP review (9.1a)
- Probability
- Sets and Venn Diagrams
- Solving linear simultaneous equations algebraically
- Solving linear simultaneous equations graphically
- Angle review (9.5a)
- Constructions, congruence, and loci
- Pythagoras's theorem
- Famous maths problems
- Ratio review (9.7a)
- Similarity and enlargement
- Surds and trigonometry
- Quadratic expressions (9.9)
- Quadratic equations (9.10)
- Indices and standard form
- Growth and decay
- Finance