Principled
The assessment that best represents me as a principled student is the ‘House of Cards’ investigation completed in the sequence unit in mathematics. Just as the name of this unit suggests, it is a activity where we have to follow specific set of linear or quadratic rules in order to solve the sequence. This activity assesses our use of investigating pattern skill in criterion B and communication in mathematics .
Through this activity, I displayed the traits of a principled person as I learnt that it is important to follow the quadratic or linear rules taught in lessons, in order to efficiently, and accurately solve the sequence. I also understood the importance of accuracy and double checking work, as minor mistakes in the calculation stages can affect the sequence, or I will no longer be able to solve it. As a principled learner, I followed the method provided to find the final sequence of 3/2n^2 + 1/2n that explains how the layers of cards affect the number of cards in the entire investigation. I have further predicted, tested and justified my findings with clear diagrams and explanations.
In preparation for this task, we have carried out a series of similar exercises in class, in order to familiarize ourselves with this type of questions. On the day of the investigation, I began by writing a brief introduction explaining my task, and my predicted outcomes. This is important, as it can help the marker have a clearer understanding of what I am trying to express. Next, using diagrams and a results table, I listed out the number of cards demonstrated in the diagrams and calculated the algebraic equation of the pattern. In addition, I used the equation to predict the number of cards in a 5 layer structure, and proved that my findings are correct by drawing out the diagram. Lastly, I attempted to justify my findings by explaining how I have come to my results.
Overall, this had been a successful unit for me. I have improved my understanding of the importance of being principled by precisely following rules to solve the equation.
Through this activity, I displayed the traits of a principled person as I learnt that it is important to follow the quadratic or linear rules taught in lessons, in order to efficiently, and accurately solve the sequence. I also understood the importance of accuracy and double checking work, as minor mistakes in the calculation stages can affect the sequence, or I will no longer be able to solve it. As a principled learner, I followed the method provided to find the final sequence of 3/2n^2 + 1/2n that explains how the layers of cards affect the number of cards in the entire investigation. I have further predicted, tested and justified my findings with clear diagrams and explanations.
In preparation for this task, we have carried out a series of similar exercises in class, in order to familiarize ourselves with this type of questions. On the day of the investigation, I began by writing a brief introduction explaining my task, and my predicted outcomes. This is important, as it can help the marker have a clearer understanding of what I am trying to express. Next, using diagrams and a results table, I listed out the number of cards demonstrated in the diagrams and calculated the algebraic equation of the pattern. In addition, I used the equation to predict the number of cards in a 5 layer structure, and proved that my findings are correct by drawing out the diagram. Lastly, I attempted to justify my findings by explaining how I have come to my results.
Overall, this had been a successful unit for me. I have improved my understanding of the importance of being principled by precisely following rules to solve the equation.
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