Patterns and Sequences PDF

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Patterns and Sequences Lecture notes...

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Patterns and Sequences Numeracy and Mathematics Level 1 • Counting forwards and backwards in 2s, 5s, 10s • Describing patterns in multiplication tables and hundreds squares • Creating patterns repeating symbols and pictures etc • Describes, continues and creates number patterns using addition, subtraction, doubling, halving

Level 2 •

Exploring more complex number sequences including well known named number patterns, I can explain the rule used to generate the sequence and apply it to extend the pattern

• Looking at rules to generate these numbers and patterns

Sequences Arithmetic Sequences • 2,4,6,8,10… common difference = 2 • A common difference between each term Geometric Sequences • 1,2,3,4,8,16 ….common ratio = 2 • A common ratio connecting each term Fibonacci sequence • 1,1,2,3,5,8,13,21…formed by adding together the previous two terms Square Numbers -1,4,9,16,25…square number sequence

Finding a rule -Sequential Generalisation - describing the rule to find the next or previous term off a sequence, eg. “add on” -Global generalisation- a general rule for finding any term of the sequence eg. “Double and add”...