Patterns and Relationships A pattern is when there

Patterns and Relationships

A pattern is when there are things that are arranged following a rule or rules.

A pattern can be made from objects, colours, shapes and numbers and sounds. Patterns are often repeating. What is the rule for the pattern below? .

What would be next in the sequence?

Using your coloured squares I would like you to predict and hold up the colour that you think comes next in each of my patterns.

Yes

Yes

Yes

What comes next?

Well Done

What comes next?

Fantastic!

What comes next?

What comes next?

Number Patterns • In the same way the patterns worked before you need to find the rule for each sequence. What is the rule below. • 2, 4, 6, 8, 10 • Yes- you add two each time.

Find the rule for each set. • • 3, 6, 9, 12, 15 +3 30, 25, 20, 15, 10 -5 10, 16, 22, 28, 32 +6 900, 800, 700, 600, 500 -100

Extend the pattern • When you have found the rule you can use the rule to extend the sequence. • What is the rule: • 4, 7, 10, 13, 16 (+3) • Therefore the next numbers would be • 19, 22, 25, 28

Continue the sequence • • 4, 6, 8, __, __ Yes, it’s 10, 12, 14 23, 21, 19, __, __ Yes, it’s 17, 15, 13 120, 125, 130, ___, ___ Yes, it’s 135, 140, 145 331, 321, 311, ___, ___ Yes, it’s 301, 291, 281.

• All the number patterns have a rule. • These number patterns do not use the same numbers in the sequence but they do follow the same rule. • When you have found the rule you can then extend the number pattern following the rule