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Christian LawsonPerfect 2 years, 7 months ago
Gave some feedback: Ready to use
Christian LawsonPerfect 2 years, 7 months ago
Saved a checkpoint:
Rejigged a lot of the advice, and added steps to part a to make it abundantly clear that you need to calculate bounds for both the speed and the time taken.
It would be nice if the time was sometimes definitely lower or higher than the record, but I've spent long enough on this question already.
Christian LawsonPerfect 2 years, 7 months ago
Saved a checkpoint:
Used the random names extension, and split part b in two, so you can calculate the upper bounds before making the decision.
Needs some rewording to make it clear that the bounds come from the uncertainty in the average running speed.
Stanislav Duris 2 years, 7 months ago
Published this.Chris Graham 2 years, 7 months ago
Published this.Stanislav Duris 2 years, 7 months ago
Saved a checkpoint:
I am satisfied with the question as it is right now, but maybe it is going to need a bit more work by someone else. This question is supposed to focus on multiplication and division of variables that have limits of accuracy and whether students understand how approximation and upper/lower bounds work. Maybe the conclusion in part b) needs a separate part or some other adjustment, it may feel a bit messy right now. The variables are constructed so the upper bound is always above the time asked in the question.
Stanislav Duris 2 years, 7 months ago
Gave some feedback: Needs to be tested
Lauren Richards 2 years, 8 months ago
Gave some feedback: Has some problems
Lauren Richards 2 years, 8 months ago
 I can't help but giggle a bit at the phrase "passionate jogger" as it is conjuring up images of a strange running style like Phoebe's from Friends who is definitely a "passionate jogger" haha. I think "keen runner" might be a little better.
 Part a) states Josh is off for a morning walk but the statement said he ran not walked!
 "Calculate upper and lower bounds to find an interval for all possible values of the distance run (????d), rounding to 2 decimal places:" should be in my opinion:
 "Calculate the upper and lower bounds of the distance (d) ran by Josh, rounding your answer to 2 decimal places."
 ADVICE
 You talk about the degree of accuracy but haven't stated what this is.
 I think the table in the advice is perhaps not in the best place. I think it is a little confusing too so I would perhaps just drop it altogether.
 I think you could condense the information about the distance and speed and the upper and lower bounds. You could just say:
"Speed = 9km/h.
Upper bound = 9+0.5 = 9.5km/h.
Lower bound = 90.5 = 8.5km/h" and then do the same for time. Then i think is the best time to mention that distance = speed x time. You might want to mention why you are converting time into hours instead of minutes. You also are missing full stops so might want to add those in.
 In the advice, I don't think lb and ub for Lower and Upper bound is very clear.
 For part a), you also might want to mention what the lower and upper bound is in WORDS, eg. the lower bound for distance is the slowest speed multiplied by the shortest time. My brain personally would understand that illustration better than LB of speed x LB of time.
 State that you have rounded your answers to two decimal places in the advice.
 Same feedback for part b).
 Think there might be a glitch in the last statement of the advice. We were supposed to establish whether Josh ran in under 60 minutes but it said: "Therefore, we cannot confidently say his time was less than 2 minutes as the upper bound for time (67.06min) is above this threshold.".
 I really like this question, it tests lots of skills and has a good context!
Stanislav Duris 2 years, 8 months ago
Gave some feedback: Needs to be tested
Stanislav Duris 2 years, 8 months ago
Gave some feedback: Has some problems
Stanislav Duris 2 years, 8 months ago
Gave some feedback: Needs to be tested
Stanislav Duris 2 years, 8 months ago
Created this as a copy of Limits of accuracy in measuring weight in a classroom scenario.No variables have been defined in this question.
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This question is used in the following exams:
 Rounding and estimating by Christian LawsonPerfect in Transition to university.
 Units of measurement by Christian LawsonPerfect in Transition to university.
 Speed by Christian LawsonPerfect in Transition to university.
 maths practicerevision by David Martin in David's workspace.
 Questions using the random person extension by Christian LawsonPerfect in Christian's workspace.
 Nick's copy of Units of measurement by Nick Walker in Nick's workspace.
 Nick's copy of Rounding and estimating by Nick Walker in Nick's workspace.
 Units of measurement [L1 Randomised] by Matthew James Sykes in CHY1205.
 Lecture 1 by Matthew James Sykes in CHY1205.
 David's copy of Units of measurement [L1 Randomised] by David Rickard in PHYS1010.
 Maria's copy of Speed by Maria Aneiros in Maria's workspace.