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LO To assess my understanding of sequences

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Presentation on theme: "LO To assess my understanding of sequences"— Presentation transcript:

1 LO To assess my understanding of sequences
RAG Key Words: Reflect, Communicate, Explain, Justify 03/01/2019 Starter Activity Complete the ‘Heard the Word Grid.’ Are there any key words that you have learnt or have a better understanding of now than you did at the start of this unit of work?

2 Level 3 4 5/6 6/7 7 8  Sequences I can find the next two terms in a sequence. I can find a term to term rule for a linear sequence. I can generate terms of a sequence from a term to term rule. I can describe a linear sequence in words. I can find a position to term rule for a linear sequence and explain how I worked it out. I recognise and I can use sequences of triangular, square and cube numbers, simple arithmetic progressions, and other sequences. I can generate terms of a sequence from a position-to-term rule I understand the difference between a linear sequence and a quadratic sequence. I can use a position to term rule to decide whether a number is part of a sequence. I can find a position to term rule for a simple quadratic sequence. I can find a position to term rule for any quadratic sequence.

3 Nth term rule / position to term rule
Key Words / symbols Never heard before? Heard of but not sure what it means? Know what it means and can explain it in context Jot down your ideas here... Term Term to term rule Nth term rule / position to term rule Linear Sequence Quadratic Sequence Fibonacci Sequence

4 Show me an example of a sequence that increase (goes up).
Level 3 Show me an example of a sequence that increase (goes up). What are the next two terms in these sequences? 4, 7, 10, 13, ... , … , 30, 25, 20, 15, ... , … , Show me an example of a sequence that decreases (goes down.) Sequence 1) 4, 7, 10, 13, ... Sequence 2) 13, 10, 7, 4, … What is the same about these two sequences? What is different about these two sequences. Print slides 2-10 two slides to a page.

5 What is the term to term rule for this sequence?
Level 4 What is the term to term rule for this sequence? 9, 11, 13, 15 Write down the first five terms of this sequence Start at 40 and subtract 4. Show me an example of a sequence with the term to term rule Subtract 3 Describe this sequence in words, so that without showing it to me, I would be able to write down the first five terms. 7, 11, 15, 19 Print slides 2-10 two slides to a page.

6 Level 5/6 Questions and Answers
What is the position to term rule (nth term rule) for this sequence? 9, 11, 13, 15 Explain how you worked it out. 20, 17, 14, 11, 8 Write down the first 5 terms for the sequence 7n + 4 Explain how you worked out what they would be. -2n + 15 Print slides 2-10 two slides to a page.

7 What would the 50th term in this sequence be?
Level 6 What would the 50th term in this sequence be? 7n + 4 Explain how you worked it out. Here are the first five terms of a number sequence. 3, 8, 13, 18, 23 Explain why 387 is not a term of the sequence. What would the 100th term in this sequence be? -2n + 15 Level 7 Describe the difference between a quadratic sequence and a linear sequence. Print slides 2-10 two slides to a page.

8 What is the nth term rule for the sequence?
Level 8 What is the nth term rule for the sequence? 4, 7, 12, 19, 28 Explain how you worked it out. What is the 10th term in this sequence, explain how you worked it out. How can you continue a sequence starting 1, 2, ... so that it has a quadratic nth term? Show me an example of another sequence with a quadratic nth term How can you change 3, 6, 9, 18, 27 so it becomes the first five terms of a quadratic sequence? Print slides 2-10 two slides to a page.

9 Convince me that 5, 9, 15, 23, 33, ... has a quadratic nth term
Level 8 Convince me that 5, 9, 15, 23, 33, ... has a quadratic nth term The nth term of a sequence is 2n2 Find the 4th term of the sequence. Is the number 400 a term of the sequence? Give reasons for your answer. What would the 20th term in this sequence be? How do you know? Print slides 2-10 two slides to a page.

10 Use the space below to set yourself a question similar to the ones you were able to answer confidently. Use the space below to answer the question that you have set yourself My own question… My answer…

11 I can find the next two terms in a sequence.
Level 3 4 5/6 6/7 7 8  Sequences I can find the next two terms in a sequence. I can find a term to term rule for a linear sequence. I can generate terms of a sequence from a term to term rule. I can describe a linear sequence in words. I can find a position to term rule for a linear sequence and explain how I worked it out. I recognise and I can use sequences of triangular, square and cube numbers, simple arithmetic progressions, and other sequences. I can generate terms of a sequence from a position-to-term rule I understand the difference between a linear sequence and a quadratic sequence. I can use a position to term rule to decide whether a number is part of a sequence. I can find a position to term rule for a simple quadratic sequence. I can find a position to term rule for any quadratic sequence.

12 My teachers probing question My answer
What I will do to act upon my ‘Even Better If’’ comment Strategy Tick / Comments Complete a mymaths lesson or booster pack Use a revision guide or text book Ask my teacher to explain during a lesson Ask a peer to explain during a lesson Ask someone at home to help Attend a revision session at school Attend homework club Something else (describe your strategy here) Dialogue marking sheet.


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