1. 27th January 2011
Objective: to generate and describe sequences (Level E)
Skills: Collaboration, Planning, Questioning and Making
Links
By the end of the lesson:
All: will be able to generate sequences.
Most: will be able to describe sequences.
Some: will be able to find the nth term of a sequence
(Level D).

2. What sequences do you know?

3. Starter
Spot the Pattern
Look for the pattern with the sequence of number and write the next 2
numbers in the pattern.
5, 8, 11, 14, 17..................
2, 10, 18, 26, 34, 42...............
19, 13, 7, 1, -5.................
34, 25, 16, 7.................

4. Introducing sequences
In maths, we call a list of numbers in order a sequence.
Each number in a sequence is called a term.
4, 8, 12, 16, 20, 24, 28, 32, ...
1st term
6th term
If terms are next to each other they are referred
to as consecutive terms.
When we write out sequences, consecutive terms are
usually separated by commas.

5. What is the next term?
1
3
6
10
How is the sequence being generated?
What is this sequence called?
15

6. What is the next term?
1
4
9
16
25
How is the sequence being generated?
What is this sequence called?

7. What is the next term?
3
5
7
9
How is the sequence being generated?
What is this sequence called?
11

8. What is the next term?
Each term in this sequence is three times the term before it.

9. Cube Numbers
What are the first 5 terms of the cube numbers?

10. Leap Frogs
• I need 3 girls and 3 boys.
• The class needs to make them swap places using
HOPS or SLIDES!
• I need one person to keep a tally of the hops and
slides.
• You need to do this is as little moves as possible.

11. Leap Frogs
• You need to use MULTILINK CUBES and a
white board to look for patterns with the
frogs.
• In pairs, one person move the frogs and the
other person count the number of hops and
slides.
• What would be a good starting point?

12. Leap Frogs
Number of Frogs
(on each side)
1
2
3
4
5
Hops
Slides

13. What did you find?
• What is the relationship between the number
of frogs and the number of hops?
• What is the relationship between the numbers
of frogs and the number of slides?

14. Any Other Sequences?
• Can you think of any other sequence of
numbers that is in a pattern?