Transcript Document

LO To assess my understanding of
sequences
Key Words: Reflect, Communicate, Explain,
Justify
RAG
21/07/2015
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?
Grade
Sequences
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
I can find the
I can find a term I can find a
next two terms in to term rule for a position to term
a sequence.
linear sequence. rule for a linear
sequence and
I can generate
explain how I
terms of a
worked it out.
sequence from a
term to term
I recognise and I
rule.
can use
sequences of
I can describe a
triangular, square
linear sequence and cube
in words.
numbers, simple
arithmetic
progressions, and
other sequences.
I understand the
difference
between a linear
sequence and a
quadratic
sequence.
I can find a
position to term
rule for a
quadratic
sequence.
I can generate
terms of a
sequence from a
position-to-term
rule
I can use a
position to term
rule to decide
whether a
number is part of
a sequence.
Current Grade
A/A*/A**
New Grade
7/8/9
I recognise and
can use simple
geometric
progressions
(rn where n is
an integer, and r
is a rational
number > 0 or a
surd).
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...
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.
Grade E Questions and Answers
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
the term to term rule
Describe this sequence in words, so that without
showing it to me, I would be able to write down
the first five terms.
Subtract 3
7, 11, 15, 19
Grade D Questions & Answers
Grade D Questions & Answers
What is the position to term rule (nth term
rule) for this sequence?
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.
Explain how you worked it out.
Write down the first 5 terms for the
sequence
Write down the first 5 terms for the
sequence
7n + 4
-2n + 15
Explain how you worked out what they
would be.
Explain how you worked out what they
would be.
Grade D Questions & Answer
What would the 50th term in this sequence
be?
Grade C Questions & Answer
Describe the difference between a quadratic
sequence and a linear sequence.
7n + 4
Explain how you worked it out.
What would the 100th term in this sequence
be?
Here are the first five terms of a number
sequence.
-2n + 15
3, 8, 13, 18, 23
Explain how you worked it out.
Explain why 387 is not a term of the
sequence.
Grade C Questions
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.
Answers & Working 0ut
Grade B Questions & Answers
What is the nth term rule for the
sequence?
Grade B Questions & Answers
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 10th 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?
Grade B Questions & Answers
Grade B Questions & Answers
Convince me that 5, 9, 15, 23, 33, ... has a The nth term of a sequence is 2n2
quadratic nth term
Find the 4th term of the sequence.
What would the 20th term in this
sequence be?
Is the number 400 a term of the sequence?
How do you know?
Give reasons for your answer.
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, 40.5
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
8, 12, 18, 27, 40.5
How did you work it out?
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…
My own question…
My answer…
Grade
Sequences
Current Grade F
New Grade 1/2
Current Grade E
New Grade 2
I can find the next
two terms in a
sequence.
I can find a term to
term rule for a
linear sequence.
Current Grade D
New Grade 3
I can find a position
to term rule for a
linear sequence and
explain how I
I can generate terms worked it out.
of a sequence from
a term to term rule. I recognise and I can
use sequences of
I can describe a
triangular, square
linear sequence in
and cube numbers,
words.
simple arithmetic
progressions, and
other sequences.
Current Grade C
New Grade 4
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.
Current Grade B
New Grade 5/6
Current Grade
A/A*/A**
New Grade 7/8/9
I can find a position I recognise and
to term rule for a
can use simple
quadratic sequence. geometric
progressions
(rn where n is an
integer, and r is a
rational number >
0 or a surd).
I can generate terms
of a sequence from
a position-to-term
rule
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?
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