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Number Sequences.
TLI: To recognise and extend number
sequences formed by counting from any
number in steps of constant size, extending
beyond zero when counting back.
Year 4
Sequences!
We all know this sequence of numbers! What is the rule?
1 2 3 4 5 6 7 8 9
Of course its add one!
In today's lesson we are going to be looking at lots of different
sequences!
Look at these number sequences carefully can
you guess the next 2 numbers?
What about guess the rule?
30 40 50 60 70 80
17 20 292623 32
---------------------------------------------------------------------------------------------------------------------
---------------------------------------------------------------------------------------------------------------------
48 41 34 27 20 13
+10
+3
-7
Can you work out the missing numbers in each of
these sequences?
50
30
17515012510075
---------------------------------------------------------------------------------------------------------------------
50 70 90 110 130
---------------------------------------------------------------------------------------------------------------------
171176181186191196
---------------------------------------------------------------------------------------------------------------------
256266276286296306
+25
+20
-5
-10
Now try these sequences – think carefully and guess the
last number!
1 2 164 7 11
3
---------------------------------------------------------------------------------------------------------------------
12 24 48 966
---------------------------------------------------------------------------------------------------------------------
0.5 2 3.5 5 6.5 8
---------------------------------------------------------------------------------------------------------------------
7 -5-214 -8
+1, +2,
+3 …
double
+ 1.5
-3
This is a really famous number sequence which was
discovered by an Italian mathematician a long time ago.
It is called the Fibonacci sequence and can be seen in many
natural things like pine cones and sunflowers!!!
1 1 2 3 5 8 13 21 etc…
Can you see how it is made? What will the next number
be?
34!
See if you
can find out
something
about
Fibonacci!
Guess my rule!
For these sequences I have done 2 maths functions!
3 7 3115 63 127
x2 -1
2 3317953
x2 +1

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Number sequences

  • 1. Number Sequences. TLI: To recognise and extend number sequences formed by counting from any number in steps of constant size, extending beyond zero when counting back. Year 4
  • 2. Sequences! We all know this sequence of numbers! What is the rule? 1 2 3 4 5 6 7 8 9 Of course its add one! In today's lesson we are going to be looking at lots of different sequences!
  • 3. Look at these number sequences carefully can you guess the next 2 numbers? What about guess the rule? 30 40 50 60 70 80 17 20 292623 32 --------------------------------------------------------------------------------------------------------------------- --------------------------------------------------------------------------------------------------------------------- 48 41 34 27 20 13 +10 +3 -7
  • 4. Can you work out the missing numbers in each of these sequences? 50 30 17515012510075 --------------------------------------------------------------------------------------------------------------------- 50 70 90 110 130 --------------------------------------------------------------------------------------------------------------------- 171176181186191196 --------------------------------------------------------------------------------------------------------------------- 256266276286296306 +25 +20 -5 -10
  • 5. Now try these sequences – think carefully and guess the last number! 1 2 164 7 11 3 --------------------------------------------------------------------------------------------------------------------- 12 24 48 966 --------------------------------------------------------------------------------------------------------------------- 0.5 2 3.5 5 6.5 8 --------------------------------------------------------------------------------------------------------------------- 7 -5-214 -8 +1, +2, +3 … double + 1.5 -3
  • 6. This is a really famous number sequence which was discovered by an Italian mathematician a long time ago. It is called the Fibonacci sequence and can be seen in many natural things like pine cones and sunflowers!!! 1 1 2 3 5 8 13 21 etc… Can you see how it is made? What will the next number be? 34! See if you can find out something about Fibonacci!
  • 7. Guess my rule! For these sequences I have done 2 maths functions! 3 7 3115 63 127 x2 -1 2 3317953 x2 +1