The document discusses recognizing and extending number sequences by identifying rules. It provides examples of ascending and descending number sequences with missing values and asks the reader to determine the missing numbers and rules. It then asks the reader to generate their own sequences with missing values for their partner to solve. The goal is to be able to recognize and extend number sequences as well as explain the rules for sequences both orally and in writing.

1. WALT:
To recognise and
extend number
sequences

2. 58, 67, 76, 85, ?,
103, 112, ?
What are the missing numbers
in this sequence?
How do you know?

3. The missing numbers are 94 and
121. It is an ascending sequence.
Rule is NN = LN + 9

4. NN means ‘Next Number’
LN means ‘Last Number’
REMEMBER:

5. 227, 219, 211, ?,
195, 187, ?
What are the missing numbers
in this sequence?
How do you know?

6. Rule is NN = LN - 8
The missing numbers are 203
and 179. It is a descending
sequence.

7. 722, 632, 542, ?,
362, 272, 182, ?
1. What are the missing numbers
in this sequence?
2. Is it descending or ascending?
3. What is the rule for this sequence?

8. It is an descending sequence.
The missing numbers are 452
and 92.
Rule is NN = LN - 90

9. Can you check
the rule for this
sequence using
a calculator?

10. TASK:
 You are now going to use calculators to
generate sequences. They must include
ascending and descending sequences.
 Record your rule and generate 8 terms in
the sequence. Then omit 2 numbers and
give the sequence to your partner to
solve.
 Also try and use sequences that include
negative numbers.

11. Can you work out the missing terms in
this sequence?
23, ?, ?, ?, 47
How could we find the middle term?

12. Use the same strategy for this
sequence?
37, ?, ?, ?, 25

13. What if there are four missing terms?
19, ?, ?, ?, ?, 39
What is the rule for this sequence?

14. And this one?
57, ?, ?, ?, ?, 12
What is the rule for this sequence?

15. By the end of this lesson, you should
be able to:
 Recognise and extend number
sequences formed by counting on or
back from any number.
 Explain a rule orally and in writing.