1. Higher Level Mathematics

2. Sets and Set Notation L.O.
All pupils recognise set notation and sets of numbers
All pupils can use set notation and Venn Diagrams to represent sets of numbers
Most pupils can write all rational numbers as fractions

3. Main 1:
set notation and sets of numbers

4. Main 1:
set notation and sets of numbers

5. Main 1:
set notation and sets of numbers

6. Main 1:
set notation and sets of numbers

7. Draw a Venn Diagram to show the relationships between these sets
Main 1:
set notation and sets of numbers
Draw a Venn Diagram to show the relationships between these sets

8. Main 1:
set notation and sets of numbers

9. Main 1: Use set notation to describe these sets:
set notation and sets of numbers
Use set notation to describe these sets:
The set of all integers between -8 and 6, not including -8 and 6 (i.e. exclusive)
The set of all integer multiples of ∏/4 greater than zero and less than or equal to 2∏
The set of positive odd integers
*which of these sets are finite and which are infinite?

10. Sets and Set Notation L.O.
All pupils recognise set notation and sets of numbers
All pupils can use set notation and Venn Diagrams to represent sets of numbers
Most pupils can write all rational numbers as fractions

11. use set notation and Venn Diagrams to represent sets of numbers
Main 2:
use set notation and Venn Diagrams to represent sets of numbers

12. use set notation and Venn Diagrams to represent sets of numbers
Main 2:
use set notation and Venn Diagrams to represent sets of numbers

13. Sets and Set Notation L.O.
All pupils recognise set notation and sets of numbers
All pupils can use set notation and Venn Diagrams to represent sets of numbers
Most pupils can write all rational numbers as fractions

14. Write each of these recurring decimals as a fraction.
Main 3:
write all rational numbers as fractions
If irrational numbers are none repeating decimals then all other decimals must be able to be written as a fraction.
Write each of these recurring decimals as a fraction.
E.g. ……

15. Where do the recurring digits start?
Main 3:
write all rational numbers as fractions ……
Where do the recurring digits start?
So to make the green part a whole number (in order to make it a fraction) we need to multiply by: ……
10000

16. write all rational numbers as fractions
Main 3:
write all rational numbers as fractions
…… x = …
If …… = N
Then … = N
10000

17. How many digits are recurring?
Main 3:
write all rational numbers as fractions
If …… = N
Then … = N
How many digits are recurring?
2 digits are recurring
10000N

18. write all rational numbers as fractions
Main 3:
write all rational numbers as fractions
If …… = N
Then … = N
10000N
… = 100 N

19. write all rational numbers as fractions
Main 3:
write all rational numbers as fractions
… = N
… = 100 N
10000 N – 100 N = 9900 N … … …

20. write all rational numbers as fractions
Main 3:
write all rational numbers as fractions
11241
= 9900 N
11241 = N
9900

21. Write each of these rational numbers as fractions:
Main 3:
write all rational numbers as fractions
Write each of these rational numbers as fractions:

22. Sets and Set Notation L.O.
All pupils recognise set notation and sets of numbers
All pupils can use set notation and Venn Diagrams to represent sets of numbers
Most pupils can write all rational numbers as fractions