WALT: To recognise and extend number sequences.

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Presentation transcript:

WALT: To recognise and extend number sequences

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

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

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

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

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

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? 722, 632, 542, ?, 362, 272, 182, ?

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

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

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.

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

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

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

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

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.