Download Nth term number sequences level 6 lesson

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LESSON OBJECTIVES
Always aim
high!
We are learning to:
- Enhance our Mathematical learning skills.
(Which Enterprise skills?)
- Accurately find the nth term of a number sequence.
(Level 6)
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AUTHOR
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BRAIN IN GEAR
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EXAMPLE
DITDIONA can be rearranged to make ADDITION
TASK
Work out the following Mathematical anagrams:
QECUSEEN
Sequence
REMT
Term
CIFERFNEED
Difference
EXTENSION
Develop your own Mathematical anagrams as above as a
creative entrepreneur.
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STARTER
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TASK
Complete the following pattern:
1
1, 1
2, 1
1, 2, 1, 1
1, 1, 1, 2, 2, 1
3, 1, 2, 2, 1, 1
1, 3, 1, 1, 2, 2, 2, 1
1
1 , …..
2 , …..
3 , …..
1 , …..
1 , …..
3 , …..
1 , …..
2 , …..
1 , …..
…..
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Nth Term
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EXAMPLES
Find the nth term of the following sequences and then calculate
the 100th term.
a) 3, 7, 11, 15, …
+4
+4
b) 2, 9, 16, 23, …
+7
+4
+7
+7
c) 5, 7, 9, 11, …
+2
+2
+2
Nth term = 4n -1
Nth term = 7n -5
Nth term = 2n +3
100th term = 4x100 -1
100th term = 399
100th term = 7x100 - 5
100th term = 695
100th term = 2x100 + 3
100th term = 203
d) 11, 16, 21, 26, …
+5
+5
+5
e)-5, -2, 1, 4, …
+3
+3
+3
f) 3, 6, 9,12, …
+3
+3
+3
Nth term = 5n + 6
Nth term = 3n -8
Nth term = 3n
100th term = 5x100 + 6
100th term = 506
100th term = 3x100 - 8
100th term = 292
100th term = 3x100
100th term = 300
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QUICK AFL QUESTIONS ON WHITEBOARDS (BEFORE
TREASURE HUNT)
Find the nth term of the following sequences and then calculate
the 100th term.
a) 4, 7, 10, 13, …
+3
+3
+3
b) 2, 8, 14, 20, …
+6
+6
+6
c) -8, -3, 2, 7, …
+5
+5
+5
Nth term = 3n + 1
Nth term = 6n -4
Nth term = 5n -13
100th term = 3x100 +1
100th term = 301
100th term = 6x100 -4
100th term = 596
100th term = 5x100 -13
100th term = 487
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TASK – TREASURE HUNT (Level 6)
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TASK (Level 6)
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Nth Term
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TASK (Level 6)
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EXTENSION (Level 7)
1) Find the nth term for the following sequences:
(a) 1, 4, 9, 16, 25, … Square Numbers
n2
(b) 1, 8, 27, 64, … Cube Numbers
n3
(c) 1, 3, 6, 10, 15, … Triangle Numbers
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MINI-PLENARY ACTIVITY
STAND UP → TRUE
SIT DOWN → FALSE
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MINI-PLENARY ACTIVITY
STAND UP → TRUE
SIT DOWN → FALSE
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MINI-PLENARY ACTIVITY
STAND UP → TRUE
SIT DOWN → FALSE
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MINI-PLENARY ACTIVITY
STAND UP → TRUE
SIT DOWN → FALSE
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DISCOVERY
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LINK BACK TO OBJECTIVES
- Accurately find the nth term of a
number sequence.
What level
are we
working at?
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PLENARY ACTIVITY
7
10
13
TASK (LEVEL 6)
Find the nth term for the number of matchsticks
3n + 1
EXTENSION (LEVEL 6)
How many matchsticks will there be in the 50th pattern?
Replace n with 50
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SEQUENCES
4
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3 x 50 + 1 =151
What have you learnt?
Draw your brain
In your brain, write or draw everything you can remember about finding
the nth term. It can be a skill or a reflection, or something else that might
be prominent in your brain.
Where are we
in our
journey?
What level
are we
working at?
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Enterprise Skills SELF ASSESSMENT Which ones are you using?
Plenary Activity
How well do you understand the task?
.
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I nearly
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I fully
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Plenary Activity
WWW (What Went Well)
EBI (Even Better If)
On your post it
notes…
Think about how you
can improve your
work.
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