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?

3,5,7,9,11,13,… Picture of sequence Nth term Term to term rule Position term Term to term rule Table of results

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

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?

X 1 2 3 4 5 6 7 8 9 X X X Graph showing the sequence 2n + 1 1 2 3 4

Graph showing the sequence 2n + 1

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

6,9,12,15,… Picture of sequence Nth term Term to term rule Position term Term to term rule Table of results

4,11,18,26,… Picture of sequence Nth term Term to term rule Position term Term to term rule Table of results

16,10,4,-2 Picture of sequence Nth term Term to term rule Position term Term to term rule Table of results

2,8,18,32,… Picture of sequence Nth term Term to term rule Position term Term to term rule Table of results

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

Mini White Boards Ready

True or False? 4, 7, 10, 13, 16, 19, This next term in this sequence is 22?

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.

True or False? 4, 7, 10, 13, 16, 19, This third term in this sequence is 10?

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

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

True or False? 4, 7, 10, 13, 16, 19, The 100th term in this sequence is 403

True or False? 4, 7, 10, 13, 16, 19, 52 is not a number in this sequence.