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Manipulate surds and rationalise the denominator of a fraction when it is a surd.
Metadata
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
Feedback
From users who are members of Transition to university :
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said | Ready to use | 7 years, 8 months ago |
Elliott Fletcher | said | Needs to be tested | 7 years, 9 months ago |
Lauren Richards | said | Has some problems | 7 years, 9 months ago |
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said | Has some problems | 7 years, 9 months ago |
From users who are not members of Transition to university :
francisco Glezortiz | said | Ready to use | 4 years, 2 months ago |
History
Christian Lawson-Perfect 1 year, 6 months ago
Saved a checkpoint:
Added a `+- to the pattern for part e, to allow negative coefficients.
francisco Glezortiz 4 years, 2 months ago
Gave some feedback: Ready to use
francisco Glezortiz 4 years, 2 months ago
Gave some feedback: Needs to be tested
Christian Lawson-Perfect 5 years, 10 months ago
Saved a checkpoint:
Replaced some javascript with pattern restrictions. There are still some string restrictions that could be replaced with pattern restrictions.
Elliott Fletcher 7 years, 8 months ago
Published this.Christian Lawson-Perfect 7 years, 8 months ago
Gave some feedback: Ready to use
Christian Lawson-Perfect 7 years, 8 months ago
Saved a checkpoint:
I changed the denominators for parts f,g and h from number entry to mathematical expression. While the answer is always a number, a student who's misunderstood might want to write a surd. You should let them fail!
I don't know why each line of the derivations ended with a comma, but this isn't conventional.
With those things fixed, this is a good question.
Elliott Fletcher 7 years, 9 months ago
Gave some feedback: Needs to be tested
Lauren Richards 7 years, 9 months ago
Gave some feedback: Has some problems
Lauren Richards commented 7 years, 9 months ago
- MAIN PARTS
- Part a) should have more numbers rather than just two.
- I think you will have a problem with people not knowing how to insert a square root sign into their answers, meaning they will be scuppered for all of the questions. I think you will need to tell them how to in the parts by giving an example. Say like "3\sqrt{5} can be written as 3*sqrt(5)". Alternatively, you could set it up via gap fill so that all of the answers can be given in a pre-prepared square root sign.
- Part b)'s steps could be a little off-putting for someone. They only need the first rule to do part b) but you have given them an extra rule that isn't relevant. It might confuse them.
- You don't need colons after "Simplify" in each part.
- Part h), your model answer included an unsimplified numerator, which might not be what the user gives. You didn't multiply out 3(\sqrt{3}+18) but writing 3\sqrt{13}+54 is not wrong.
- ADVICE
- I think you should restate the question in part a) after stating the rule and before the actual advice for part a).
- The examples listed for part a) and b) were not the ones I was asked in the test run. It was talking about \sqrt{405} both times when I had been asked about \sqrt{1377} in part a) and \sqrt{1053} in part b).
- In part c), I think you should show how the fraction cancels down a bit more by stating that the two \sqrt{17} cancel on the numerator and denominator. Someone might get lost if they followed the first method.
Elliott Fletcher commented 7 years, 9 months ago
Thanks for your feedback, i have corrected the mistakes
Elliott Fletcher 7 years, 9 months ago
Gave some feedback: Needs to be tested
Chris Graham commented 7 years, 9 months ago
Rather than having "Answer:" before the gap, I think I'd rather that the surd was repeated, e.g. "1√11="
In (g) and (h) your answers are displayed with a decimal on the numerator, which I presume is not what you intended. The reason for this is that the braces evaluate {{n}-sqrt({a})} to a decimal number. Try this instead to retain the integer values of n and a:
({n}-sqrt({a}))/{{n}^2-{a}}.
Good work with the advice, which is well laid out and punctuated.
Chris Graham 7 years, 9 months ago
Gave some feedback: Has some problems
Elliott Fletcher 7 years, 9 months ago
Gave some feedback: Needs to be tested
Elliott Fletcher 7 years, 9 months ago
Created this.Name | Status | Author | Last Modified | |
---|---|---|---|---|
Using Surds, Rationalising the Denominator | Ready to use | Elliott Fletcher | 27/09/2023 09:14 | |
Katherine's copy of Using Surds, Rationalising the Denominator | draft | Katherine Tomlinson | 31/07/2017 11:50 | |
Using Surds, Rationalising the Denominator | draft | Adrian Jannetta | 16/08/2023 14:56 | |
Surds Rationalisation | draft | Johnny Yi | 24/01/2019 04:29 | |
Surds Rationalisation (Diagnostic Test) | draft | Johnny Yi | 24/01/2019 04:30 | |
Simon's copy of Using Surds, Rationalising the Denominator | draft | Simon Thomas | 06/06/2019 09:40 | |
John's copy of Using Surds, Rationalising the Denominator | draft | John Wick | 17/06/2019 11:00 | |
John's copy of John's copy of John's copy of John's copy of John's copy of John's copy of John's copy of John's copy of John's copy of John's copy of John's Using Surds, Rationalising the Denominator | draft | John Wick | 10/07/2019 16:00 | |
Ausdrücke mit Quadratwurzeln vereinfachen | Ready to use | Ulrich Görtz | 26/11/2020 10:28 |
There are 34 other versions that do you not have access to.
Name | Type | Generated Value |
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p | integer |
19
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d | integer |
2
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n | integer |
8
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m | integer |
4
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b | integer |
4
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a | integer |
5
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v | integer |
2
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t | integer |
2
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c | rational |
1
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s | integer |
3
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Generated value: integer
- a
- Advice
- "Part a)" - Answer text
- "Part b)" - prompt
- "Part h)" - prompt
- "Part h)" → "Gap 0." - Correct answer
- "Part h)" → "Gap 1." - Correct answer
Parts
Match choices with answers
Ask the student a question, and give any hints about how they should answer this part.
Which of the following can be simplified further?
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Can be simplified further
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Cannot be simplified further
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√{p}
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√{{a}{n}2}
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√{a}
For each combination of answer and choice, specify the number of marks to add or subtract when the student picks it.
√{p} |
√{{a}{n}2} |
√{a} |
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Can be simplified further |
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Cannot be simplified further |
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