All pupils can manipulate geometric sequences

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Presentation transcript:

All pupils can manipulate geometric sequences L.O. All pupils understand how geometric sequences differ to arithmetic sequences All pupils can manipulate geometric sequences

Starter: Wipeboards

What’s the next term in this sequence? Starter: What’s the next term in this sequence?

How can you describe this pattern in words? Starter: How can you describe this pattern in words? Ext. How can you describe this pattern algebraically?

What’s the next term in this sequence? Starter: What’s the next term in this sequence?

How can you describe this pattern in words? Starter: How can you describe this pattern in words? Ext. How can you describe this pattern algebraically?

All pupils can manipulate geometric sequences L.O. All pupils understand how geometric sequences differ to arithmetic sequences All pupils can manipulate geometric sequences

What’s different about these sequences to those we have seen before? Main 1: how geometric sequences differ to arithmetic sequences What’s different about these sequences to those we have seen before?

Ext. What could the method be for describing geometric sequences? Main 1: how geometric sequences differ to arithmetic sequences What was the method we used to describe arithmetic sequences (those we saw the past few lessons)? Ext. What could the method be for describing geometric sequences?

Arithmetic Sequences: Main 1: how geometric sequences differ to arithmetic sequences Arithmetic Sequences: nth term: 𝑢 𝑛 = 𝑢 1 + 𝑛−1 𝑑 common difference: 𝑑= 𝑢 𝑛+1 − 𝑢 𝑛 Geometric Sequences: nth term: 𝑢 𝑛 = 𝑢 1 𝑟 𝑛−1 common ratio: 𝑟= 𝑢 𝑛+1 𝑢 𝑛

All pupils can manipulate geometric sequences L.O. All pupils understand how geometric sequences differ to arithmetic sequences All pupils can manipulate geometric sequences

manipulate geometric sequences Main 2: Geometric Sequences: nth term: 𝑢 𝑛 = 𝑢 1 𝑟 𝑛−1 common ratio: 𝑟= 𝑢 𝑛+1 𝑢 𝑛 manipulate geometric sequences

manipulate geometric sequences Main 2: Geometric Sequences: nth term: 𝑢 𝑛 = 𝑢 1 𝑟 𝑛−1 common ratio: 𝑟= 𝑢 𝑛+1 𝑢 𝑛 manipulate geometric sequences

manipulate geometric sequences Main 2: Geometric Sequences: nth term: 𝑢 𝑛 = 𝑢 1 𝑟 𝑛−1 common ratio: 𝑟= 𝑢 𝑛+1 𝑢 𝑛 manipulate geometric sequences

manipulate geometric sequences Main 2: Geometric Sequences: nth term: 𝑢 𝑛 = 𝑢 1 𝑟 𝑛−1 common ratio: 𝑟= 𝑢 𝑛+1 𝑢 𝑛 manipulate geometric sequences

All pupils can manipulate geometric sequences L.O. All pupils understand how geometric sequences differ to arithmetic sequences All pupils can manipulate geometric sequences

Wipeboard questions - Share your questions

All pupils can manipulate geometric sequences L.O. All pupils understand how geometric sequences differ to arithmetic sequences All pupils can manipulate geometric sequences