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Key Words; Term, Expression
LO To start to link linear sequences to linear graphs RAG Key Words; Term, Expression 24-Feb-19 Starter – Can you represent the blue sequence in the different ways shown?
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3,5,7,9,11,13,… Picture of sequence Nth term Term to term rule
Position term Term to term rule Table of results
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x2 + 1 2n + 1 3,5,7,9,11,13,… Add 2 on each time Picture of sequence
Nth term x2 + 1 2n + 1 3,5,7,9,11,13,… Position 1 2 3 4 5 6 7 Term 9 11 13 15 Add 2 on each time Term to term rule Table of results
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How can you predict the next pattern?
Is there a visual way to display this information on paper? How can you predict the next pattern?
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X 1 2 3 4 5 6 7 8 9 X X X Graph showing the sequence 2n + 1 1 2 3 4
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Graph showing the sequence 2n + 1
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Task 1 Pick one of the following sequences and represent it in the ways show. When you have done it put your sequence onto a graph
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6,9,12,15,… Picture of sequence Nth term Term to term rule
Position term Term to term rule Table of results
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4,11,18,26,… Picture of sequence Nth term Term to term rule
Position term Term to term rule Table of results
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16,10,4,-2 Picture of sequence Nth term Term to term rule
Position term Term to term rule Table of results
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2,8,18,32,… Picture of sequence Nth term Term to term rule
Position term Term to term rule Table of results
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Describing the pattern so far…
Table of values Position 1 2 3 4 5 6 7 Term 9 11 13 15 Drawing of sequence 3,5,7,9,11,13,… Graph 2n + 1 Nth term rule x2 + 1 Term to term rule Add 2 on each time
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Mini White Boards Ready
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True or False? 4, 7, 10, 13, 16, 19, This next term in this sequence is 22?
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True or False? 4, 7, 10, 13, 16, 19, If I told someone that this sequence went up by 3 that would be enough information for them to write down the first 5 terms of the sequence without having seen it.
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True or False? 4, 7, 10, 13, 16, 19, This third term in this sequence is 10?
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True or False? 4, 7, 10, 13, 16, 19, The 5th term in this sequence is 16 16 x 2 = 32 so the 10th term must be 32
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True or False? 4, 7, 10, 13, 16, 19, This sequence starts on 4 and goes up by 3 so the nth term rule is 4n + 3
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True or False? 4, 7, 10, 13, 16, 19, The 100th term in this sequence is 403
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True or False? 4, 7, 10, 13, 16, 19, 52 is not a number in this sequence.
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