1. Sequences in the Real World
L.O.
All pupils can relate sequences to real world situations

2. Starter:
Wipeboards

3. What’s the next term in this sequence?
Starter:
What’s the next term in this sequence?
What’s the term-to-term rule in this sequence?
What’s the nth term rule in this sequence?

4. What’re the key words for this topic?
Starter:
What’re the key words for this topic?

5. Sequences in the Real World
L.O.
All pupils can relate sequences to real world situations

6. Main:
relate sequences to real world situations
Elizabeth was born on 1st Jan ‘14 and her father decides to open a savings account for her straightaway.
He starts the account with an initial deposit of £20.
He puts an additional £5 into the account each month after that one.
She can withdraw on her 18th birthday.
What’s the meaning of and value of 𝑢 1 , 𝑢 3 and 𝑢 12 in this question?
What’s the common difference?
What’s the general rule for 𝑢 𝑛 ?
How much will she have on her 18th birthday?
In which month of which year will she surpass £500?

7. Main:
relate sequences to real world situations
A class of 32 students is having trouble with organisational skills and keeps forgetting to do their homework.
The teacher decides that the fairest thing is for an afterschool detention for each time they forget their homework.
The first week everyone forgets. The following week four students remember their work. The next week after that, four more remember. The pattern continues.
a) Find the first three terms in the sequence
b) Find the common difference
c) How many students are in a detention on the fifth week?
d) Find: 𝒖 𝒏 , 𝒖 𝟖 and 𝒖 𝟏𝟎
e) Comment on the accuracy of your answers

8. When can you think of arithmetic sequences occurring in real life?
Main:
relate sequences to real world situations
Page 181 Practice Problems
Ext.
When can you think of arithmetic sequences occurring in real life?

9. Sequences in the Real World
L.O.
All pupils can relate sequences to real world situations

10. Wipeboard questions
- Share your questions

11. Sequences in the Real World
L.O.
All pupils can relate sequences to real world situations