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10thMarch2011

Objective: to be able to fnd the rule or a

linear sequence (Level 5)

Sills: !uestionin" and Main" Lins

#$ the end o the lesson:%ll: &ill be able to &or out the co''ondierence in a sequence

Most: &ill be able to &or out the rule or asequence

So'e: &ill be able to fnd the nthter' o asequence (Level *)

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Starter

+hat co'es ne,t in thesesequences$ou &ill have to thin aboutthis--

1 S. M. /. +.

2 O. /. /. . .

M. . 3. M. 4. S. 1. 1. 2. . 5. 6. 1

5 1. 2. . 6. 17.

1)*a$s o the&ee

2)8ountin"

nu'bers)9lanets)ibonacci5)doubles

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!uestion

ere is the start o a sequence

1. 2. .

;atie sa$s the ne,t ter' is < but *ansa$s the ne,t ter' is 6 /he$ could

both be ri"ht

Why?

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o& can &e fnd the rule=

Loo at the ollo&in" sequence:

1. . 5. in 2=

#ut that &ould be 2. . 7. 6 ? but &e &antto start &ith 1-

+hat can @ do to 2 to chan"e it to 1=

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o& can &e fnd the rule=

Loo at the sequence:

.

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ind the rule

Creen1 . 5.

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%ns&ers

Creen

1 ,2 F1

2 , F , F2

,5 ?

5 ,7 ? 2

Ded

1 , F1

2 ,< F ,7 ?

,B ? 7

5 ,< ? 7Extensiona) -5 + 15b) -8 + 23

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1). 7. 6. 10.

2). 7. B. 12.

) 1. .

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Sequence *o'inoes

Start &ith one o the sequences

+or out the rule or the sequence

/hen 'atch it to that sequence ;ee> doin" the sa'e thin" until $ou

have 'atched ever$ sequence to itrule

Gou should end u> &ith a loo>357

9

x3 +2x2 +1

611

16

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/o inish

Loo at the ollo&in" sequence:

. 6. 1. 16.

+hat are the ne,t 2 ter's=

o& did $ou &or it out= +h$ &ouldnAt the ter' 6< be in the

sequence=