1. Class set of mini whiteboards.
Group 9
Level
Mixed
Topic
Sequences
Lesson 3&4 of 8
Key processes
Communicating
Working logically
Making connections
visualising
Resources
Class set of mini whiteboards.
Extension (activity)
Support (activity)
use.
KO To explore mathematical representations of sequences.
Keywords pattern, sequence, term, table, graph, term to term, linear, position to term, formula, nth term.
Re-engage
Visual 
Auditory 
Kinaesthetic 
Differentiated 
Mental and Oral Starter
Fill out the hints and tips section and self assess
Main
Complete the card match task and p[robing questions sheet
Plenary Fill out the self assessment sheet again re assessing their understanding

2. APP Lesson Lesson 7 & 8 Starter:
Keywords: Term, Expression, Linear Sequence, Quadratic Sequence, Term to term rule, Position to term rule
12/11/2018
Starter:
Fill out the hints and tips section of your APP sheet and self assess where you think you are.
What grade are you aiming to achieve?

3. Multiple Representations
Grade
Multiple Representations
A/A*
I can find the nth term of any sequence, including quadratics and power sequences.
I can use the method of differences. B
I can find the nth term of any linear or quadratic sequence. C
I can find the nth term of a sequence.
I can relate the nth term to the sequence diagrams. D
I can extend my sequence to include negative numbers.
My graph of a sequence covers all 4 quadrants. E
I can generate a sequence from a rule.
I can draw a linear graph of a sequence. F
I can write the term to term rule for a sequence. G
I can draw the next diagram pattern in a sequence.
I can write the next term of a sequence.
Hints and Tips

4. of the cards to form a set of:
APP Task 1
You must match each
of the cards to form a set of:
Sequence
nth term
Graph
20th term
50th term
You must show how you achieved it and any working out required.

7. n2 + n + 3 n + 4 -n2 + 4 n + 6 n2 + 12 -n2 + 6 Grade A Grade D Grade B

8. 2n + 3 -n + 8 3n - 4 -6n + 18 -2n + 3 n2 - 4 Grade D Grade C Grade D
Grade B

9. 20th term = 24
20th term = -37
20th term = -102
20th term = -396
20th term = -14
20th term = 56

10. 20th term = 43
20th term = 423
20th term = 412
20th term = -394
20th term = 396
20th term = 26

11. 50th term = 56
50th term = -97
50th term = -42
50th term = 2496
50th term = 2512
50th term = -2492

12. 50th term = 2553
50th term = -2496
50th term = 54
50th term = -282
50th term = 103
50th term = 146

13. 5,6,7,8,9
13,16,21,28,37
1,-1,-3,-5,-7
-1,2,5,8,11
-3,0,5,12,21
9,10,11,12,13

14. 5,7,9,11,13
12,6,0,-6,-12
5,9,13,20,29
7,8,9,10,11
7,11,15,22,31
5,9,15,23,33

15. Answer the probing questions
APP Task 2
Answer the probing questions

16. Probing Questions Grade G Fill in the next 2 terms 6, 12, 18, 24,
Make 2 different sequences to fit this pattern. , 5, , ,
Grade F
Write down the term to term rule for 5, 9, 13, 17, 21, .....
Write down the term to term rule for 2, 4, 8, 16, 32,
Grade E
Write down the first 3 terms of any these sequences
Draw a table of results for this sequence.
What is the 9th term?
7, 13, 19, 25,
First term
Term to term rule 3
Add 6 each time 50
Subtract 6 from the previous term 1
Multiply previous term by 10

17. Grade D
Write down the sequence which has a position to term rule of 4n – 3.
A sequence rule is 8n - 1. Work out the term when n = 5 and n = 9.
Grade C
Represent a linear sequence in 2 different ways.
How does the term to term rule relate to the position to term rule?
Grade B
If the 10th term of a sequence is 42, give me some possibilities for the nth term.
Write down the difference between these nth term rules n2, 2n2 and 2n
Grade A/A*
Represent a non-linear sequence in 2 different ways, one should be the nth term.
I have 2 sequences a) 3, 5, 7, 9, 11, and b) 2, 5, 8, 11
I multiply each corresponding term to get a new sequence c) 6, 25,
What is the nth term of this new sequence c) ?

18. Multiple Representations
Grade
Multiple Representations
A/A*
I can find the nth term of any sequence, including quadratics and power sequences.
I can use the method of differences. B
I can find the nth term of any linear or quadratic sequence. C
I can find the nth term of a sequence.
I can relate the nth term to the sequence diagrams. D
I can extend my sequence to include negative numbers.
My graph of a sequence covers all 4 quadrants. E
I can generate a sequence from a rule.
I can draw a linear graph of a sequence. F
I can write the term to term rule for a sequence. G
I can draw the next diagram pattern in a sequence.
I can write the next term of a sequence.
Hints and Tips

19. My teachers question is ......
My answer is
My teachers comment
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