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Starter Question
1. Write the next two numbers in the
sequence: 14, 28, 42, 36, 50
add 14
2. Write the first three square numbers
1, 4, 9
3. Write 20m in cm
4.
7
of 30
10
20 x 100 = 2000cm
30 ÷ 10 = 3 x 7 = 21
Simple Linear Patterns
A pattern is made using matchsticks:
1 triangle
2 triangles
3 triangles
3 matches
6 matches
9 matches
Number of
Triangles (T)
Number of
matches (M)
1
2
3
4
5
3
6
9
12
15
Simple Linear Patterns
Number of
Triangles (T)
Number of
matches (M)
1
2
3
4
5
3
6
9
12
15
+3
+3
+3
+3
For every new triangle =>
the number of matchsticks rises by 3
Simple Linear Patterns
Number of
Triangles (T)
Number of
matches (M)
In words:
1
2
3
4
5
3
6
9
12
15
+3
+3
+3
+3
no. of matches = 3 x no. triangles
In symbols:
M = 3 x T
Simple Linear Patterns
Know
M = 3 x T
Q) If there are 20 triangles how many
matches do I need?
M = 3 x T
T=20
M = 3 x 20
M = 60
Simple Linear Patterns
1 spider
2 spiders
3 spiders
8 legs
16 legs
24 legs
Number of
Spiders (S)
Number of legs
(L)
1
2
3
4
5
8
16
24
32
40
Simple Linear Patterns
Number of
Spiders (S)
Number of legs
(L)
1
2
3
4
5
8
16
24
32
40
+8
+8
+8
In words:
no. of legs = 8 x no. of spiders
In symbols:
L = 8 x S
+8
Simple Linear Patterns
Know
L = 8 x S
Q) If there are 20 spiders how many
legs are there?
L = 8 x S
S=20
M = 8 x 20
M = 160