Linear and non-linear relationships – Part 1 (Application task) Name: Sofia Result: 22.5/27 Assessment overview: In this assessment you will complete two variations of performing squat jumps over two minutes. In this assessment you will investigate the use of the anaerobic and aerobic energy system to fuel the body to perform these squat jumps. demonstrate the following skills: · · · · · · · plot coordinates on the Cartesian plane find coordinates for a given point. Investigate, interpret and analyse graphs from real life data. Represent numbers as letters Create algebraic expressions Solve problems by substituting a given value into algebraic expressions (including using the balance method). Rearrange simple algebraic expressions Number of jumps Session 1 Session 2 Session 1 Session 2 0 seconds 0 0 15 seconds 13 10.6 30 seconds 27 21.2 45 seconds 39 31.8 60 seconds 49 42.4 75 seconds 55 53.1 90 seconds 64 63.7 105 seconds 75 74.3 120 seconds 85 84.9 Observation and self-report notes for session 1 Observation and self-report notes for session 2 My legs started to burn when I was 45 seconds in. My legs started to burn when I was 75 seconds in. Comparison analysis of the anaerobic and aerobic energy system 1. Record your session 1 results in the tables above. (1/1mark) To do this, you will need to record yourself using your phone. When you record yourself, complete as many jumps as you can without stopping (don’t rest at all until you literally cannot do any more. When you can’t do anymore take a short rest, as short as possible, then continue jumping. Stop entirely at 2 minutes). To record your data in the table, my suggestion is to use a snipping tool to shorten the video to 15seconds FROM WHEN YOU STARTED JUMPING. You do not need to save this snippet. Record how many jumps you did in the first 15 seconds. Then use the snipping tool again to show the first 30 seconds of jumping (FROM WHEN YOU STARTED JUMPING). You do not need to save this snippet. Record how many jumps you did in the first 30 seconds IN TOTAL. Keep continuing this for every 15 seconds until you reach the end of the 2 minutes. 2. Double click onto the graph to open it in drawing. Click “shapes”. Click “circles”. Draw circle coordinates for your session 1 data on your graph. Make sure the colour of the dots are red. (2/2marks) Interpreting your graph 3. Looking at your session 1 results, what type of relationship is the number of squats you can do over time displaying? Justify your answer. (1.5/2marks) I believe the relationship of my results is a strong linear relationship because my results go up in a straight line. 4. If you strengthen your leg muscles and your cardiovascular fitness, do you think the relationship could shift to become more linear or less linear then what it is currently? Explain your answer. (2/2marks) I believe it would shift to become more linear because you have better cardiovascular fitness and you would be able to keep up your pace, and get less tired. And if you strengthen your leg muscles it would help too, since you are trained and you won’t feel the burn as much as you would if you didn’t strengthen your leg muscles. So, if you strengthen those two skills you are most likely to get a linear relationship where you keep a consistent pace and would be able to do more squats each time. 5. Looking at the graph, at what time can you see your body’s anaerobic energy system depleting? Explain your answer. (1/1mark) At 75 seconds, because I dropped to my lowest number of squats and it took me a while to get back on track. 6. A way to alter your results to display a strong linear relationship is to calculate the average amount of jumps you did each second. Calculate the average amount of jumps you did each second. (Hint: create an equivalent ratio to solve this) (1/1mark) 85:120 (By adding all the jumps and dividing this by the total time, we work out the average jumps per second) 0.708 jumps per second 7. Determine and write down your linear equation. (Hint: Remember the linear equation formula is y = mx + c. c = the y-intercept and m = the rate of increase in the y-axis as the rate of increase in the x-axis equals one. (1/1mark) y=0.708x Referring to the experiment’s dependent and independent variables, answer the following questions: (2.5/4marks) 8. What does the x represent in the linear relationship? The x is an independent variable which in this case represents the time and y depends on it. If there is a change in an independent variable then, the dependent variable changes too. 9. What does the y represent in the linear relationship? The y is a dependent variable, which gets affected when x changes. 10. What does the c represent in the linear relationship? The c represents the y intercept. 11. What does the m represent in the linear relationship? The m represents the gradient. 12. Use your linear equation to determine how many jumps to do at each 15 second intervals for session 2. Fill in the table on page two. (2/2marks) 13. Plot your linear equation’s line on the graph on page two. (1.5/2marks) 14. Use your linear equation to predict how many jumps you will do when the timer reaches 3 minutes. (2/2marks) I believe I will do 127 jumps. To find this out you do y=0.708 x 180 (because we have to convert it into seconds, so 3 minutes is 180 seconds) and then you get 127.44 but because you can’t do that many squat jumps you round it which is 127. 15. Use your linear equation to calculate the predicted length of time it will take for you to complete 120 jumps. (3/3marks) Your linear Equation y=0.708x Use the balancing method to find the value of x 120= 0.708x Divide 0.708 on both sides. 120/0.708 = 0.708x/0.708 169.49 (to two decimals places) x=169.49 Check by substitution 0.708 x 169.49 = 119.99 (two decimal places) What is the equation rearranged to make x the subject (so that you could use this new formula to calculate the length of time it will take for any number of jumps)? x= 120/0.708 16. Reattempt the squat jumps for the two minutes and try to pace yourself by keeping to the average amount of squats per 15 seconds. How many do you need to do every 15 seconds? (1/1mark) 11 17. Comment on how your muscles felt and how your cardiovascular fitness felt comparing session 1 to session 2. Explain what you think is happening to your energy systems comparing session 1 to session 2. (1/3marks) In session 1, I definitely felt much more tired than session 2. After completing session 1 my legs were aching and a couple of days later my muscles were in pain. However, after session 2, my legs were fine, and my muscles were not in any pain the next day. I believe what's happening to my energy system is that I've done it a few times and my body is now used to it. I also think my energy system improved.
