Starter Question

1. Write the next two numbers in the sequence: 14, 28, 42,

2. Write the first three square numbers

3. Write 20m in cm

4. 7

of 3010

36, 50 add 14

1, 4, 9

20 x 100 = 2000cm

30 ÷ 10 = 3

x 7 = 21

Simple Linear Patterns

A pattern is made using matchsticks:

1 triangle

3 matches

2 triangles

6 matches

3 triangles

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)

1 2 3 4 5

3 6 9 12 15

+ 3 + 3 + 3 + 3In words:

no. of matches = 3 x no. triangles

In symbols:

M = 3 x T

Simple Linear Patterns

M = 3 x T

Q) If there are 20 triangles how many matches do I need?

Know

T=20

M = 3 x T

M = 3 x 20

M = 60

Simple Linear Patterns

Number of Spiders (S)

Number of legs (L)

1 2 3 4 5

8 16 24 32 40

1 spider

8 legs

2 spiders

16 legs

3 spiders

24 legs

Simple Linear Patterns

Number of Spiders (S)

Number of legs (L)

1 2 3 4 5

8 16 24 32 40

+ 8 + 8 + 8 + 8

In words:

no. of legs = 8 x no. of spiders

In symbols:

L = 8 x S

Simple Linear Patterns

L = 8 x S

Q) If there are 20 spiders how many legs are there?

Know

S=20

L = 8 x S

M = 8 x 20

M = 160