Exemplar for internal assessment resource Physics for Achievement Standard 90935A Exemplar for Internal Assessment Resource Physics Level 1 This exemplar supports assessment against: Achievement Standard 90935 Carry out a practical physics investigation that leads to a linear mathematical relationship, with direction Student and grade boundary specific exemplar The material has been gathered from student material specific to an A or B assessment resource. Date version published by Ministry of Education © Crown 2011 December 2011 To support internal assessment from 2012 Exemplar for internal assessment resource Physics for Achievement Standard 90935A Grade Boundary: Low Excellence 1. At the Excellence level the students are required to carry out a comprehensive practical physics investigation, with direction, that leads to a linear mathematical relationship. Carrying out a comprehensive practical physics investigation involves writing a discussion that validates the conclusion. The discussion may include as appropriate: a justification for the accuracy-improving techniques used, a reason that there is a limit to either end of the value chosen for the independent variable a justification why a variable needs to be controlled a description of any difficulties encountered when making measurements and how these difficulties were overcome a link between investigation findings and applicable physics ideas a description of any unexpected outcomes of the processing of the results and a suggestion of how these outcomes could have been caused and/or the effect they had on the validity of the conclusion. The report mentions the fact that the intercept on the graph does not reflect the length of the spring when no mass has been added, however what has caused this is not discussed and the effect on the validity of the conclusion is not included. The control variable statement about why the spring needs to be controlled has been justified but not quite to the excellence level. A link has been made to the theoretical equation of Hooke’s Law and how by rearranging the equation found from the graph, the gradient links to the spring constant. This has also been linked back to the graph for the original experiment. This comment, in addition to the two weaker comments, means the discussion is just at the excellence level. To achieve the standard at the Excellence level more securely the student could include the following: a justification for the accuracy-improving techniques used a reason that there is a limit to either end of the value chosen for the independent variable a full justification why a variable needs to be controlled a description of any difficulties encountered when making measurements and how these difficulties were overcome a suggestion of how these unexpected outcomes could have been caused and/or the effect they had on the validity of the conclusion. © Crown 2011 Student 1: Low Excellence Practical Title: Name: Planning Template Aim: To find the mathematical relationship between the length of the stretched spring and the mass that is causing it to stretch. Independent and Dependent variables Which variable will be changed? (This is the independent variable). The mass (m). How will the independent variable be changed? Adding 20g masses to the mass holder on the spring each time Give a suitable range of values for this variable. 20g, 40g, 60g, 80g and 100g. Which variable will be measured or observed as the output of your investigation? (This is the dependent variable) The length of the stretched spring. How will the dependent variable be measured or observed? Using a ruler to measure the length in cms. Other variables that need to be controlled to make your results more accurate Variable How this variable will be controlled Same spring The same spring will be used throughout the experiment as different springs can stretch differently. Same ruler Use the same ruler and measure in the same place from the top of the spring to the bottom of the spring each time. Same masses Use the same masses as there maybe some variation in the actual weight of the slotted masses. How will you ensure that your results are reliable? By repeating the experiment at least 3 times and averaging the results. Looking at the ruler at eye level to reduce parallax error. My Method and the data: o Hang a spring from a clamp and stand and measure the length of the spring before the mass is added using the ruler. Measure the length from the top of the spring to the bottom of the spring. Mass in grams 1 0 20 40 60 80 100 20 23 32 40 51 60 Length in cms 2 3 20 24 35 41 50 58 Average 20 22 33 39 50 59 20 23 33.3 40 50.3 59 o Hang the mass holder from the bottom of the spring and wait until the spring is steady. Record the length. The mass holder is 20g. o The ruler should be as close as possible to the spring and should be viewed at eye level to minimise the parallax error. o Repeat the last two steps adding 20g each time until 100g. o Repeat the investigation at least 3 times in enough time and average the results. Describing the Relationship From the graph it can be seen that as the amount of mass attatched to the spring increases the distance the spring stretches in increased. The gradient of the graph = 0.4051 and the equation is y = 0.4051 x or length = 0.4051 mass. The intercept is around 17.3cm, in the experiment the length before th mass was added was 20cm so there is an error which makes the line of best fit too low as it crosses the axis. Conclusion The equation which shows the strength of a spring is Hooke’s law which states that F=kx. Where F is the restoring force, k is the spring constant and x is the extension. I have measured mass and length, these need to be converted to the units of newtons and meters. The gradient is the spring constant and is 2.24, this is the inverse of the gradient of the original graph which can also give the spring constant. This will be different for a different spring. Exemplar for internal assessment resource Physics for Achievement Standard 90935A Grade Boundary: High Merit 2. At the Merit level the students are required to carry out an in-depth practical physics investigation, with direction, that leads to a linear mathematical relationship. Carrying out an in-depth practical physics investigation involves: controlling the variable(s) that could have a significant effect on the results using technique(s) that increase the accuracy of the measured values of the dependent (and independent, if appropriate) variable drawing a linear graph, valid for the data, writing a conclusion that states the equation of the relationship. The control variables have been stated and the accuracy-improving technique of repeating and averaging has been used. A linear graph which reflects the collected data has been drawn. The gradient for the line of best fit has been calculated and the equation of the mathematical relationship has been given. The use of the accuracy techniques have been described but it has not been explained why the techniques have increased the accuracy. The spring has to be controlled and the same spring being used has been mentioned, however the different rates of stretching has not been investigated in the experiment. The explanation for the choice of values for independent variable is reasonable but not detailed enough for excellence. The discussion of the difficulty is not a valid issue. To achieve the standard at the Excellence level the student could include the following: a justification for the accuracy-improving techniques used a reason that there is a limit to either end of the value chosen for the independent variable a justification for why a variable needs to be controlled a description of any difficulties encountered when making measurements and how these difficulties were overcome a link between investigation findings and applicable physics ideas a description of any unexpected outcomes of the processing of the results and a suggestion of how these outcomes could have been caused and/or the effect they had on the validity of the conclusion. © Crown 2011 Exemplar for internal assessment resource Physics for Achievement Standard 90935A Grade Boundary: Low Merit 3. The control variables have been stated and the accuracy improving technique of repeating and averaging has been used. The linear graph has been shown and labelled, however the graph size is too small to accurately reflect the data. The line of best fit has been applied, however it has been constructed by joining the first and last lines which means most points lie below the line. The gradient has been calculated. The mathematical equation has been stated, and although it has been stated in terms of y and x, the variables have been described in the conclusion. To achieve the standard at the Merit level more securely the student could draw a graph of the data of an appropriate size to reflect the data accurately. © Crown 2011 Exemplar for internal assessment resource Physics for Achievement Standard 90935A Grade Boundary: High Achieved 4. At the achieved level the students are required to carry out a practical physics investigation, with direction, that leads to a linear mathematical relationship. Carrying out a practical physics investigation involves: developing a method for collecting the data collecting primary data, with units, relevant to the purpose, based on the manipulation of the independent variable over a reasonable range and number of values drawing a graph, based on the data writing a conclusion that links the processed data to the identified trend on the graph. The control variables have been stated, however the use of the same spring, which would have the biggest effect, has not been included. The accuracy technique of repeating and averaging has been used. The linear graph of the data has been shown. The gradient has been calculated but the value and equation are not consistent with the line of best fit. To achieve the standard at the Merit level the student could include: the control variable that would have the most significant effect on the results an equation that accurately reflects the relationship. © Crown 2011 Exemplar for internal assessment resource Physics for Achievement Standard 90935A Grade Boundary: Low Achieved 5. The method has been developed to collect the data. Data relevant to the experiment with the appropriate units have been recorded. A graph based on the data has been drawn. The initial conclusion does not reflect the identified trend on the graph as it does not show a 1.5cm increase for every 40g, however the last statement given about the relationship shows a marginal understanding of the trend. To achieve the standard more securely the student could write a conclusion that clearly links the processed data to the identified trend on the graph. © Crown 2011 Exemplar for internal assessment resource Physics for Achievement Standard 90935A Grade Boundary: High Not Achieved 6. A basic method has been developed to complete the experiment. The data has been collected with the appropriate units given in the data table. A reasonable range appears to have been used for the independent variable, however the first two measurements are not near the line of best fit, which may indicate the spring was permanently stretched. The value of the spring’s initial length compared to the subsequent values for the spring’s extension, do not seem to be consistent. The graph shows an inconsistent value for the initial length to that recoded in the results table. A linear graph has been drawn for the data. The conclusion links to the data recorded and the graph. To achieve the standard the student could include: a collection of the primary data that is reasonable for the experiment being attempted a value for the initial spring length recorded that is reflected by the graph. © Crown 2011
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