1. LO To assess my understanding of sequences
RAG
Key Words: Reflect, Communicate, Explain, Justify
19/09/2018
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. Current Grade A/A*/A**
Current Grade F
New Grade 1/2
Current Grade E
New Grade 2
Current Grade D
New Grade 3
Current Grade C
New Grade 4
Current Grade B
New Grade 5/6
Current Grade A/A*/A**
New Grade 7/8/9
 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 quadratic sequence.
I recognise and can use simple geometric progressions
(rn where n is an integer, and r is a rational number > 0 or a surd).

3. 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...

4. Grade F Questions and Answers
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. Grade E Questions and Answers
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. Grade D Questions & 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. Grade D Questions & Answer Grade C Questions & Answer
What would the 50th term in this sequence be?
7n + 4
Explain how you worked it out.
Describe the difference between a quadratic sequence and a linear sequence.
What would the 100th term in this sequence be?
-2n + 15
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.
Print slides 2-10 two slides to a page.

8. Grade C Questions Answers & Working 0ut
Here are the first five terms of an arithmetic sequence.
1, 3, 7, 11, 15
Find, in terms of n, an expression for the nth term of this sequence.
In another arithmetic sequence the nth term is 8n - 16
John says that there is a number that is in both sequences.
Explain why John is wrong.
Print slides 2-10 two slides to a page.

9. Grade B Questions & Answers
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.

10. Grade B Questions & Answers
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.

11. Grade A/A* Questions Answers & Working 0ut
Write down the first five terms of the geometric progression which has first term 1 and
common ratio ½
Find the common ratio for the geometric sequence
8, 12, 18, 27,
Find the 10th and 20th terms of the geometric progression with first term 3 and common ratio 2.
What is the nth term for the geometric sequence
How did you work it out?
Print slides 2-10 two slides to a page.

12. 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…

13. Current Grade A/A*/A**
Current Grade F
New Grade 1/2
Current Grade E
New Grade 2
Current Grade D
New Grade 3
Current Grade C
New Grade 4
Current Grade B
New Grade 5/6
Current Grade A/A*/A**
New Grade 7/8/9
 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 quadratic sequence.
I recognise and can use simple geometric progressions
(rn where n is an integer, and r is a rational number > 0 or a surd).
Use the learning journey above to highlight the mathematical skills that you have now which you didn’t have at the start of the unit of work.
How much progress have you made?
What can you do to improve your skills as a learner in order to make even better progress?

14. 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.