1. Key Words; Term, Expression
LO To start to link linear sequences to linear graphs
RAG
Key Words; Term, Expression
24-Feb-19
Starter – Can you represent the blue sequence in the different ways shown?

2. 3,5,7,9,11,13,… Picture of sequence Nth term Term to term rule
Position
term
Term to term rule
Table of results

3. x2 + 1 2n + 1 3,5,7,9,11,13,… Add 2 on each time Picture of sequence
Nth term
x2 + 1
2n + 1
3,5,7,9,11,13,…
Position 1 2 3 4 5 6 7
Term 9 11 13 15
Add 2 on each time
Term to term rule
Table of results

4. How can you predict the next pattern?
Is there a visual way to display this information on paper?
How can you predict the next pattern?

5. X 1 2 3 4 5 6 7 8 9 X X X
Graph showing the sequence 2n + 1 1 2 3 4

6. Graph showing the sequence 2n + 1

7. Task 1
Pick one of the following sequences and represent it in the ways show. When you have done it put your sequence onto a graph

8. 6,9,12,15,… Picture of sequence Nth term Term to term rule
Position
term
Term to term rule
Table of results

9. 4,11,18,26,… Picture of sequence Nth term Term to term rule
Position
term
Term to term rule
Table of results

10. 16,10,4,-2 Picture of sequence Nth term Term to term rule
Position
term
Term to term rule
Table of results

11. 2,8,18,32,… Picture of sequence Nth term Term to term rule
Position
term
Term to term rule
Table of results

13. Describing the pattern so far…
Table of values
Position 1 2 3 4 5 6 7
Term 9 11 13 15
Drawing of sequence
3,5,7,9,11,13,…
Graph
2n + 1
Nth term rule
x2 + 1
Term to term rule
Add 2 on each time

14. Mini White Boards Ready

15. True or False?
4, 7, 10, 13, 16, 19,
This next term in this sequence is 22?

16. True or False?
4, 7, 10, 13, 16, 19,
If I told someone that this sequence went up by 3 that would be enough information for them to write down the first 5 terms of the sequence without having seen it.

17. True or False?
4, 7, 10, 13, 16, 19,
This third term in this sequence is 10?

18. True or False?
4, 7, 10, 13, 16, 19,
The 5th term in this sequence is 16
16 x 2 = 32
so the 10th term must be 32

19. True or False?
4, 7, 10, 13, 16, 19,
This sequence starts on 4 and goes up by 3 so the nth term rule is
4n + 3

20. True or False?
4, 7, 10, 13, 16, 19,
The 100th term in this sequence is 403

21. True or False?
4, 7, 10, 13, 16, 19,
52 is not a number in this sequence.