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From users who are members of Transition to university :
Chris Graham
|
said | Ready to use | 6 years, 8 months ago |
| Stanislav Duris | said | Needs to be tested | 6 years, 9 months ago |
Christian Lawson-Perfect
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said | Has some problems | 6 years, 9 months ago |
History
Elliott Fletcher commented 6 years, 8 months ago
Yeah i think there is an always/sometimes/never question already for this.
Chris Graham 6 years, 8 months ago
Gave some feedback: Ready to use
Chris Graham commented 6 years, 8 months ago
This is OK. I'm not sure if we wrote an always/sometimes/never question, but if we didn't then it would be an excellent addition.
Stanislav Duris 6 years, 9 months ago
Published this.Stanislav Duris 6 years, 9 months ago
Saved a checkpoint:
If this question isn't ready and someone needs to adjust this question - make sure that the interval in part c) always includes one square number only! The x variable makes sure the numbers increase in ascending order in the question, so don't confuse x1, x2, etc. with x[0], x[1],.. because these may not be the same and x[0], x[1],.. are the ones used in the question.
Stanislav Duris 6 years, 9 months ago
Gave some feedback: Needs to be tested
Christian Lawson-Perfect 6 years, 9 months ago
Gave some feedback: Has some problems
Christian Lawson-Perfect 6 years, 9 months ago
Saved a checkpoint:
I don't think you need the $x_i$ notation. This question should test that the student knows what a superscript 2 or 3 means. This question could just be, "Find $5^2$"; "Find $3^3$"; "Find the first square number between $124$ and $165$".
Elliott Fletcher commented 6 years, 9 months ago
Main Parts
a) i would write (x_n)^2 instead of x^2.
b) i would write (x_n)^3 instead of x^3. Also, its up to you but you could maybe include (x_5)^3 as an extra question here.
c) i think there should be a full stop after the inequality here.
Advice
a) i think there should be full stops at the end of each of the calculations, like after the 9 in the calculation for 3^2.
b) again i think there should be full stops at the end of each of the calculations.
c) i would say "Here is a table of square numbers for integers from 1-15"
I would also include an extra sentence before you calculate the square root of y^2. You could say "To calculate y we must calculate the square root of y^2," and then have a full stop at the end of the equation here as well.
Otherwise, this looks good!
Stanislav Duris 6 years, 9 months ago
Gave some feedback: Needs to be tested
Christian Lawson-Perfect 6 years, 9 months ago
Gave some feedback: Has some problems
Christian Lawson-Perfect commented 6 years, 9 months ago
I don't think part a is a well-conceived question. First of all, I don't like telling students not to use calculators. You can sometimes hint that a calculator won't be useful, but don't give them the idea that using calculator is ever bad.
When you're told $x$ and $x^3$ but not $x^2$ - why would you ever calculate $(x^3)^{2/3}$ instead of just squaring $x$?
Similarly, when you're given $x^3$ and $x^3$ but not $x$, I don't think anyone would take the cube root instead of the square root. So why show both?
Some ideas for different questions on the same topic:
- Calculate $x^2$ for $x$ from 1 to 10.
- Calculate $x^3$ for $x$ from 1 to 10.
- Find a number such that $x^2 \gt 100$ and $x^2 \lt 120$.
- An "always/sometimes/never" question for some statements. The student has to say if each of the statements is always true, sometimes true, or never true.
- $x^3$ is greater than $x^2$. (sometimes)
- If $x$ is negative, $x^2$ is negative (never)
- If $x$ is negative, $x^3$ is negative (always)
- $x^2 = x$ (sometimes)
- $(x+1)^2 \gt x$ (sometimes)
- $(x+1)^3 \gt x$ (always)
- When $x$ is a whole number, $x^2$ divides $x^3$ (always)
- $x^3$ has the opposite sign to $x$ (never)
Part b is good - it could be a separate question, called "calculate powers of ten"
Stanislav Duris 6 years, 10 months ago
Gave some feedback: Needs to be tested
Stanislav Duris 6 years, 10 months ago
Created this.There are 9 other versions that do you not have access to.
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This question is used in the following exams:
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