# LO To assess my understanding of sequences Key

- Slides: 12

LO To assess my understanding of sequences Key Words: Reflect, Communicate, Explain, Justify RAG 24/11/2020 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?

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

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

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.

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

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

Level 6 What would the 50 th term in this sequence be? 7 n + 4 Explain how you worked it out. Level 6 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 100 th term in this sequence be? -2 n + 15 Explain how you worked it out. Level 7 Describe the difference between a quadratic sequence and a linear sequence.

Level 8 What is the nth term rule for the sequence? How can you continue a sequence starting 1, 2, . . . so that it has a quadratic nth term? 4, 7, 12, 19, 28 Explain how you worked it out. What is the 10 th term in this sequence, explain how you worked it out. 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?

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

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

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

My teachers probing question My answer What I will do to act upon my ‘Even Better If’’ comment Strategy 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) Tick / Comments

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