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Elliott Fletcher 2 years, 1 month ago
Published this.
Christian Lawson-Perfect 2 years, 2 months ago
Gave some feedback: Ready to use
Christian Lawson-Perfect 2 years, 2 months ago
Saved a checkpoint:
I've split the last part, which asked you to find solutions after completing the square, into a separate question.
I moved the "Write the following expression in the form ..." text into the statement, because it's repeated for every part.
The advice now begins with a concise description of completing the square, which means the advice for the individual parts can just show how it's done.
The marking uses string restrictions, which just about does the job - you'd have to give a pretty artifical answer to get away with not completing the square - but it would be better if it did pattern-matching.
Hannah Aldous 2 years, 2 months ago
Gave some feedback: Needs to be tested
Chris Graham 2 years, 2 months ago
Gave some feedback: Has some problems
Chris Graham 2 years, 2 months ago
You seem to have sorted the pattern matching and there is a nice gradient of difficulty now.
In the part prompts, replacing e.g. "the expression" with "the following expression" will be clearer to the student.
I would suggest that part (d) becomes its own question, and then you could split this into two parts: the first part completing the square and the second finding the solutions.
Hannah Aldous 2 years, 2 months ago
Gave some feedback: Needs to be tested
Lauren Richards 2 years, 2 months ago
- Great question but some minor changes:
- Remember to full stop the end of your maths in each section of the advice.
- Your advice doesn't match the parts. The advice has writing for a)i), ii) and iii) but there are only questions i) and ii). There is also advice for b)i), ii) and iii) and yet only one question for b).
a)ii) shouldn't be in the advice - that does not correspond to any question. b)ii) and b)iii) shouldn't be there either.- In d), the answer for x1 and x2 were switched around in the advice. The advice is the incorrect version.
- Check the working for c)i), I am not sure that it is correct but it does end up with the right answer. Where does the last term from the original expression go and where do the two numbers in the penultimate line appear from? Same for c)ii).
- part d) - is the square of the integer in the bracket supposed to be in the form 2^2 rather than 4? Everywhere else in the question it has been in the form 4.
Lauren Richards 2 years, 2 months ago
Gave some feedback: Has some problems
Christian Lawson-Perfect 2 years, 2 months ago
Gave some feedback: Has some problems
Christian Lawson-Perfect 2 years, 2 months ago
Saved a checkpoint:
Why are there three of each type of equation? Unless there's some kind of development, you should have one of each instance; the student can retry the question to get more examples.
The marking doesn't check that the student has put the expressions in the desired form. Ask Elliott about pattern-matching.
You could scale things so that only integers are used in the answer to part d. (I got $0.5 \pm \sqrt{50.25}$)
Hannah Aldous 2 years, 2 months ago
Gave some feedback: Needs to be tested
Elliott Fletcher 2 years, 2 months ago
Gave some feedback: Has some problems
Elliott Fletcher 2 years, 2 months ago
Main Parts
a) good
b) i) and ii) good
b) iii) I think there is an error here, i got $\simplify{x^2+29x-7}$, so i calculated the correct answer as (x+29/2)^2-869/4, however the displayed correct answer is (x+29/2)^2-71.
c) i) I think there is an error here, i got $\simplify{6x^2+36x+13}$, so i got the answer as 6(x+3)^2-41. The advice section also shows this answer, but the displayed answer 6(x+3)^2-51.
c) ii) There is an error here too, i got $\simplify{3x^2+60x-10}$, so i think the answer should be 3(x+10)^2-310, but the displayed answer is 3(x+10)^2-59.
d) good, but i would relabel the two possible answers here, as you have in the advice section as x1 and x2 (x1 being the smaller one).
Advice
I think it's fine if you don't show the working out for every question (because i know how long that would take), but i think you should say at the beginning of the advice for each part something like "We will just do one question from each part, as the other questions follow the same pattern" or "This can be similarly done for ii) and iii)".
d) I would write the numbers as fractions instead of decimals, so it's easier for the students to follow. Also, you say in the question to give the smallest answer first, so i think x1 should be the smaller number instead of x2.
Hannah Aldous 2 years, 2 months ago
Gave some feedback: Needs to be tested
Vicky Hall 2 years, 2 months ago
Gave some feedback: Has some problems
Vicky Hall 2 years, 2 months ago
In all parts of the question, put $\=$ after the expression and before the answer box.
In the advice, make sure a), b) etc are in heading 4 and that your solutions begin on the next line down. Anywhere that you reference an earlier part, write it as a) rather than a. You should write solutions for all subparts, although I agree that only subpart i) needs to go into detail.
In part d) of the advice, make sure that when you take the square root you find $\pm$ answer, which you can do by using \pm. The last lines of this section aren't rendering so have a look at that.
When I tried part c), the solution in the advice came up with a recurring decimal, although this only happens some of the time. I'd fix this so that Numbas produces a fraction instead, which should happen if you use the \simplify command.
Also ensure all of your equations in the advice display in the centre of the screen.
Hannah Aldous 2 years, 3 months ago
Gave some feedback: Needs to be tested
Hannah Aldous 2 years, 3 months ago
Created this.No variables have been defined in this question.
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This question is used in the following exams:
- Quadratic expressions and equations by Christian Lawson-Perfect in Transition to university.
- Quadratic equations and graphs by Adrian Jannetta in Adrian's workspace.
- Nick's copy of Quadratic expressions and equations by Nick Walker in Nick's workspace.
- Quadratic expressions and equations [Randomised L4] by Matthew James Sykes in CHY1205.
- NUMBAS - Quadratics by Katy Dobson in Katy's workspace.
- Ann's copy of NUMBAS - Quadratics by Ann Smith in Ann's workspace.
- Quadratics homework by Ann Smith in Ann's workspace.
- Blathnaid's copy of Ann's copy of NUMBAS - Quadratics by Blathnaid Sheridan in Blathnaid's workspace.
- MATH1601 Quiz 3 by Blathnaid Sheridan in Blathnaid's workspace.
- Quadratics by Kevin Bohan in Kevin's workspace.