Transcript Document

Group
9
Level
Mixed
Topic
Sequences
Lesson 3&4 of 8
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 
Key processes
•Communicating
•Working logically
•Making connections
•visualising
Differentiated 
Mental and Oral Starter
Fill out the hints and tips section and self assess
Resources
Class set of mini
whiteboards.
Main
Complete the card match task and p[robing questions sheet
Extension (activity)
Plenary Fill out the self assessment sheet again re assessing their
understanding
Support (activity)
use.
APP Lesson
Lesson
7&8
Keywords: Term, Expression, Linear Sequence, Quadratic
Sequence, Term to term rule, Position to term rule
16/07/2015
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?
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
APP Task 1
You must match each
of the cards to form a set of:
1.
2.
3.
4.
5.
Sequence
nth term
Graph
20th term
50th term
You must show how you achieved it
and any working out required.
Grade A
n2 + n + 3
Grade D
n+4
Grade B
2
-n
+4
Grade D
n+6
Grade B
n2 + 12
Grade B
2
-n
+6
Grade D
2n + 3
Grade C
-n + 8
Grade C
Grade D
3n - 4
-6n + 18
Grade C
-2n + 3
Grade B
n2 - 4
20th
term = 24
20th term = -37
20th term = -102
20th term = -396
20th term = -14
20th term = 56
term = 43
20th term = 423
20th term = 412
20th term = -394
20th term = 396
20th term = 26
20th
50th
term = 56
50th term = -97
50th term = -42
50th term = 2496
50th term = 2512
50th term = -2492
50th
term = 2553
50th term = -2496
50th term = 54
50th term = -282
50th term = 103
50th term = 146
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
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
APP Task 2
Answer the probing questions
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,
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,
17, 21, .....
First term
Term to term rule
3
Add 6 each time
50
Subtract 6 from the
previous term
1
Multiply previous
term by 10
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) ?
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
My teachers question is ......
My teachers comment ......
WWW:
EBI:
My answer is ......