Download Square numbers

Teacher notes
• The following slides allow the students to explore square
numbers. They show how the square numbers can be
calculated by adding odd numbers.
• Allow the students time to prove that this happens for
72, 82, 92 and 102.(1+3+5+7+9+11+13+15+17+19).
• This can then be extended so that they students can predict
how many odd numbers will be in 152, 202 and 372.
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What comes next in this number sequence?
How does this sequence relate to the coloured squares?
12 = 1
How
What
your
many
do rule
you
oddnotice
work?
numbers
about
will
22 = 1+3 Did
2 =
2, 20
2 and
15
you
the
need
number
225forof15odd
numbers
32 = 1+3+5
20
37
and2?=the
400
square number?
2 = 1369
37
Prove
What
it.
is your rule?
42 = 1+3+5+7
52 = 1+3+5+7+9
62 = 1+3+5+7+9+11
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Teacher notes
• The following slide can be used as an extension of square
numbers.
The Outwood Grange Family of Schools
Square numbers
Put the digits 1 to 9 in the spaces so that the numbers,
reading across, are all square numbers.
1
2
3
4
5
6
7
8
9
The Outwood Grange Family of Schools