1. Rational and Irrational Numbers 2
Projector Resources

2. Poster with Headings

3. Instructions for Always, Sometimes or Never True
Choose a statement.
Try out different numbers.
Write your examples on the statement card.
2. Conjecture: decide whether you think each statement is always, sometimes or never true.
Always true: explain why on the poster.
Sometimes true: write an example for which it
is true and an example for which it is false.
Never true: explain why on the poster.

4. Always, Sometimes or Never True?
The sum of a rational number and an irrational number is irrational.
True for:
False for:

5. Always, Sometimes or Never True?
The circumference of a circle is irrational.
True for:
False for:

6. Always, Sometimes or Never True?
The diagonal of a square is irrational.
True for:
False for:

7. Always, Sometimes or Never True?
The sum of two rational numbers is rational.
True for:
False for:

8. Always, Sometimes or Never True?
The product of a rational number and an irrational number is irrational.
True for:
False for:

9. Always, Sometimes or Never True?
The sum of two irrational numbers is irrational.
True for:
False for:

10. Always, Sometimes or Never True?
The product of two rational numbers is irrational.
True for:
False for:

11. Always, Sometimes or Never True?
The product of two irrational numbers
is irrational.
True for:
False for: