Stellar Number
Stellar Numbers
Results
1. Triangular Numbers
Observation of the number pattern of polynomial type or different pattern needed.
Identifying the order of the general term by using the difference between the succeeding numbers.
Students are expected to use mathematical way of deriving the general term for the sequence.
Students are expected use technology GDC to generate the 7th and 8th terms also can use other graphic packages to find the general pattern to support their result
The general term in this stage is
2. 6- stellar numbers
Stage
No of dots
1
1
2
13
3
37
4
73
5
121
6
181
Students are expected to make the stellar shape for the next to stages and count the no of dots to get the 6-stellar number in 5th and 6th stage
Diagrams can be hand made or using technology
Communication or observation of the number pattern has to be given
From the observation, the expression of the terms of this sequence has to be identified
Expression for the 7th term
General expression 6 – stellar shape or p n (n-1) +1 Other stellar shapes – based on the no of vertices the students choose
Criterion A
A2. will be awarded if the Notations- p for vertices and n the stage no used properly through out the work. * should not be used for multiplication and ^ for raising powers.
Students has to use “ whole numbers” , Real numbers , positive integers, …..properly
If a student uses different notation for the stellar numbers , has to be described at the initial stage of the work and has to be used through out the work consistently. A1 will be awarded if the student fails to satisfy any one of the above. A0 will be awarded if the student does not use appropriate notations and terminology.
B .communication
B3
The work should not be in
Results
1. Triangular Numbers
Observation of the number pattern of polynomial type or different pattern needed.
Identifying the order of the general term by using the difference between the succeeding numbers.
Students are expected to use mathematical way of deriving the general term for the sequence.
Students are expected use technology GDC to generate the 7th and 8th terms also can use other graphic packages to find the general pattern to support their result
The general term in this stage is
2. 6- stellar numbers
Stage
No of dots
1
1
2
13
3
37
4
73
5
121
6
181
Students are expected to make the stellar shape for the next to stages and count the no of dots to get the 6-stellar number in 5th and 6th stage
Diagrams can be hand made or using technology
Communication or observation of the number pattern has to be given
From the observation, the expression of the terms of this sequence has to be identified
Expression for the 7th term
General expression 6 – stellar shape or p n (n-1) +1 Other stellar shapes – based on the no of vertices the students choose
Criterion A
A2. will be awarded if the Notations- p for vertices and n the stage no used properly through out the work. * should not be used for multiplication and ^ for raising powers.
Students has to use “ whole numbers” , Real numbers , positive integers, …..properly
If a student uses different notation for the stellar numbers , has to be described at the initial stage of the work and has to be used through out the work consistently. A1 will be awarded if the student fails to satisfy any one of the above. A0 will be awarded if the student does not use appropriate notations and terminology.
B .communication
B3
The work should not be in