Which numbers can't be written as the ratio of two integers?
Key questions
- 1
What are our key examples of interesting families of integers?
- 2
What are rational and irrational numbers?
- 3
How can we manipulate numerical expressions involving surds?
- 4
How can we show that a number is rational or irrational?
- 5
What does it mean to say that something is infinite?
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Introducing...
| Resource type | Title |
|---|---|
| Rich example | Divide and conquer |
| Building blocks | Ab-surd! |
| Package of problems | A difference of two fractions |
| Investigation | Irrational constructions |
| Investigation | Staircase sequences |
Developing...
| Resource type | Title |
|---|---|
| Many ways problem | Prime triangles |
| Scaffolded task | $\sqrt{2}$ is irrational |
| Scaffolded task | Staircase sequences revisited |
| Food for thought | Scary sum |
| Investigation | What's possible? |
| Bigger picture | $\pi$ — what's in a number? |
| Bigger picture | Counting fractions |
| Bigger picture | Death by number |
| Bigger picture | Embracing infinity |
| Bigger picture | Fractions everywhere |
| Bigger picture | Irrational vs rational: does it matter? |
Review questions
