Transition to university

Stanislav Duris commented on Combining Logarithm Rules to Solve Equations 8 years, 6 months ago

I feel like some parts in advice need a bit more explanation:

- In part a.iv) I think you should add a bit more explanation why the answer is always 0. Something along the lines that as $b^0 = 1$ then $\log_b(1) = 0$.

- In part b) at the end, "the only value for x is..." I feel should be something along the lines of "the only possible value for x is ...".

- In part c) "Laws for logarithms can also be applied to $\ln$." maybe you could add "as $\ln(x) = \log_e(x)$."

- Also, the last two lines of the advice is only right when p = 2. The right answer in advice always takes a square root rather than the appropriate root. Fix this.

There are some small mistakes in punctuation:

- Some parts are missing a blank space between the = and the gap.

- In advice, I feel like many of the commas you used are unnecesseary, for example "We need to use the rule," is followed by that rule so I would remove the comma so it flows better. You've done this correctly in part a.iii). Maybe if you want to keep the comma there, you should put comma after the rule/equation on the separate line as well, to make it stand out from the sentence. Similarly, "Subsituting in our values for x and y gives," I would remove these commas too for the same reason.

- You're missing a few full stops when your sentences finish with an equation in advice. For example, in part a) after the last line in each part i/ii/iii or last line of the whole advice, I think there should be full stops.

- In advice part b), near the end - "to write our equation as," is followed by two lines of equations. You put full stop after the first line by mistake, but it should be at the end of the second line. Just move the \text{.} to the end of that expression.

Finally, part c) asks for the answer to be put in the form $\frac{e^{a}}{b}$, but accepts answers in different forms such as ($(\frac{e^{m}}{q})^{1/p}$ or ${e^{a}}*{b^{-1}}$. I think this could be easily fixed by putting some required/forbidden strings in the string restriction for the question. I would advise trying "(e" and ")^" and "*" as forbidden strings and add "e" as a required string just to be sure. Hopefully that will fix this tiny problem.

Aiden McCall on Substitute values into formulas 8 years, 6 months ago

Gave some feedback: Needs to be tested

Elliott Fletcher commented on Rounding numbers to a given number of significant figures 8 years, 6 months ago

Hi Stanislav,

In parts,a,b and c, in each question i would write "rounded to" instead of "to". For example, "66565 rounded to the nearest 10" instead of "66565 to the nearest 10". I just think it reads slightly better.

Advice (section)

Part a) i) You say "the following digit is 5, so we round up, increasing 5 by one, becoming 6.", but i think you meant to say "the following digit is 5, so we round up, increasing 6 by one, becoming 7."

a) ii) I would say "Look at digit 5 in the hundreds column", instead of "Look at digit 5", in case the student gets confused with the 5 which is the last digit.

iii) Same as for ii) 

v) I don't think the 9 needs to be in brackets.

b)

ii) and iii) I would write "The" at the start of each sentence.

c)

In the opening paragraph, i would write "up to the nth number of places" instead of "up to nth number of places".

iv) I think there should be a space between "7and" and "is5". I would also put "These are our 4 significant figures" at the end of the sentence, after you have finished all of the rounding.

Bradley Bush on Expand brackets and collect like terms 8 years, 6 months ago

Gave some feedback: Needs to be tested

Bradley Bush commented on Expand brackets and collect like terms 8 years, 6 months ago

Thank you for the feedback, I agree about the "*" requirement so I've removed that from the answer. I fixed the typos and the latex errors, added some gaps, reworded part b and changed the text layout.

Lauren Richards on Extract common factors of polynomials 8 years, 6 months ago

Gave some feedback: Has some problems

Lauren Richards commented on Extract common factors of polynomials 8 years, 6 months ago

• You're missing the word factors in the first sentence of the statement. 
• It really does not like formatting like at all. My answers to part a) were marked wrong on 3 occasions because of underuse of * in between each term which wasn't required. For part b)iii), the question was to factorise 9x^2+6x. I had written "3x(3x+2)" and then "3x*(3x+2)", both of which it said was incorrect. It wanted "3*x(3x+2)". I don't think the user will immediately jump to writing "ax*(bx+c)" or "a*x(bx+c)" so if you want them to answer the question in this format, you should state so in the question. Otherwise, it can be quite demoralising when it is just marked wrong but what they have written is technically right. 
• In part a) I literally can't get it to accept my answers for love nor money. They always seem to be in the wrong form. This is either due to * not being used or the brackets being in the wrong order, for example: for the question "37xyz+31x^2y^2z^2", I wrote "x*y*z(37+31x*y*z)" which it marked as incorrect, as it wanted "x*y*z(31*x*y*z+37)". I think most students would give up and would not expel too much energy trying to get it to accept their answer in the right form. Give some guidance on the right form that it will accept or make it accept a simplified form. 
• Part a)i) gave me an incorrect expected answer. The question was to factorise: "86x+62" which I wrote as "2(43x+31)" but the expected answer was "2(43x+3)" which is wrong. It had the correct answer in the advice.  
• In your advice for part b), you need a space after b and your semi-colon should have a space after it before both and not before it.  
• In part b)i), "the only numbers fitting this description..." should be a new sentence and capitalised. The final answer should be centred. This point also applies to part b)iv), b)v) and b)vi).
• The advice for part b)ii) seems quite short. You might want to explain what the difference of two squares is and what happens to the x terms. 
• Prof should have a full stop after it. 

Hannah Aldous on Arithmetic sequences in an ice cream shop 8 years, 6 months ago

Gave some feedback: Needs to be tested

Bradley Bush commented on Solve quadratic inequalities 8 years, 6 months ago

Thank you for the feedback, I can see your logic, so I've changed it to your way of asking.

The inequality signs have been swapped to make sure the student is paying attention to their direction because of it's significance to the question.

Both graphs struggled to fit on the same figure so I have added another graph at the end with an brief bit of text to justify that both x ranges are the same.

Bradley Bush on Solve quadratic inequalities 8 years, 6 months ago

Gave some feedback: Needs to be tested

Elliott Fletcher on Finding the full factorisation of a polynomial, using the Factor Theorem and long division 8 years, 6 months ago

Gave some feedback: Needs to be tested

Aiden McCall commented on Rationalising the denominator - surds 8 years, 6 months ago

a) On my first attempt of the question, I had received the same question for parts i) & ii). This can be fixed with except in your random variables so the same two values do not occur.

b) Everything fine.

c) I'm not sure if you need a semi-colon if you have an 'and' as this does not create two main clauses. When testing this question it always came up as the same values also. It would be more beneficial for someone practising to have a randomising example everytime.

d) Personally I think the question could be presented as "Express [equation] in the form $a \sqrt{b} + m$ where a, b and m are integers or something of that nature. I also think the answer is incorrect and not displayed as one of the options. $\frac{4}{(\sqrt{3}-2)}=-8-4\sqrt{3}&. The question is also not randomised so comes up the same each time.

e),f) both not randomised so the student cannot try another like this and get different values.

Aiden McCall on Rationalising the denominator - surds 8 years, 6 months ago

Gave some feedback: Has some problems

Hannah Aldous on Arithmetic sequences in an ice cream shop 8 years, 6 months ago

Gave some feedback: Has some problems

Hannah Aldous commented on Expand brackets and collect like terms 8 years, 6 months ago

all of your part a answers require * using in the answers, however some parts of v don't. Not sure I would require  * for the answers. 
part b i) typo "tofffee",
make sure x and £ in the question is written in LaTeX,
you need to place gaps in before and after the = for both i and ii,
the question for part i seems a bit clunky and long maybe split it after algerbraic expression and start the next sentence as 'write the answer in...'
in b ii) maybe write '...calculate total cost..'
in the advice  part a make sure x^2 and x are in LaTeX
also you've written x^2+x=x^2+2?
in part b i you've centred and aligned part of your text with the equations
for ii use \times instead of *

Bradley Bush commented on Arithmetic sequences in an ice cream shop 8 years, 6 months ago

Great question, I only have a few really pedantic points.

For part b) of the advice, I might add a another step for 2d=\simpifly{variable 1}{variable 2} into the  solution so that you aren't jumping two lines of algebra.

With the equation punctuation in the advice, I'm not sure you are treating every equation like part of a sentence.

Your last line of advice reads "..she is the 31th person", maybe either reword your question so this doesn't happen, remove variables that wont fit the current sentence or alter the "th" to be a variable dependant on the number before it to solve this.

Hannah Aldous on Expand brackets and collect like terms 8 years, 6 months ago

Gave some feedback: Has some problems

Lauren Richards on Substitute values into formulas 8 years, 6 months ago

Gave some feedback: Has some problems

Lauren Richards commented on Substitute values into formulas 8 years, 6 months ago

• Main parts
• You need a full stop at the end of the statement.
• You don't need a comma before the function of the curve in part a).
• I think part a) needs to be reworded a little. Maybe put the curve function first. 
• Part b) is fine.
• You don't need a comma on the first line of part c). However, there should be one after the formula. There shouldn't be one after where on the third line.
• Advice
• It should be a full stop rather than a comma after "substitute 5 into 9x^2 +3x +22." in part a). Maybe reiterate that the final answer you get is equal to the y-coordinate.
• Same comments as above for part b). A full stop and reiterate that it is the predicted number of yachts sold.
• For part c), it should be a full stop at the end of the first line. Start the next line as a new sentence with a capital letter and end that line with a full stop. Reiterate that the final answer is the temperature in fahrenheit. 
• Good questions and I like the contexts!