### Goldbach's conjecture

In this lesson, we will learn about a famous unsolved maths problem called Goldbach's conjecture.

Skip navigation# Unit Overview: Famous maths problems

## Lessons:

### Goldbach's conjecture

### The Collatz conjecture

### Gabriel's problem

### The Happy Caterpillar Problem

4 lessons

In this lesson, we will learn about a famous unsolved maths problem called Goldbach's conjecture.

In this lesson, we will learn about a famous unsolved maths problem called The Collatz conjecture.

In this lesson, you will learn about a famous maths problem called Gabriel's problem.

In this lesson, you will complete Happy Caterpillars - a visual game of repeated operations.

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