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Elliott Fletcher 2 years, 4 months ago
I think long division of numbers is something a lot of students probably students struggle with, so i think it's still worth explaining how to do it.
I could maybe split the advice into two columns, one column showing the steps of dividing the polynomial with remainders and the other column showing the equivalent steps in long division form like you mentioned in the meeting on Tuesday but i'm not really sure how to do that.
Christian Lawson-Perfect 2 years, 4 months ago
Saved a checkpoint:
Can we assume that the students have already seen long division of numbers?
I've rewritten the statement a bit.
"We then repeat these same steps with the new polynomial until we are only left with an integer. " isn't strictly true - the remainder is a polynomial of lower degree than the divisor.
I reckon the statement text is better off in the advice.
The advice is quite lengthy, but I don't know if it's possible to do any better.
Lauren Richards 2 years, 4 months ago
- I think the advice for the division should be reformulated, and focused more on being the algebraic long division with some narration. I think there should be a long division illustration of each bit of narration after it is said, and then you end up with the full one at the end. I also think the narration could be a little clearer in places. You have mentioned that you are dividing the first term of the polynomial by x, but haven't explicitly stated that that is because the first term of the divisor is x. Someone might be misled to think that dividing by x is always the first step to do, which it is not.
- The question is quite short, would you maybe think about adding a second part where the divisor is a quadratic or something to make it a little harder?
- Would you want to include a statement? You could state what a polynomial is, or give a definition of algebraic long division or something.
- Good grammar, I can't pick you up on anything to do with that, well done haha!!
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This question is used in the following exams:
- Algebra and functions by Elliott Fletcher in Elliott's workspace.
- Malcolm's copy of Algebra and functions by Malcolm Roberts in Malcolm's workspace.
- P3 - Further Algebra by Rob Beckett in Rob's workspace.
- MATH1601 Quiz 5 by Blathnaid Sheridan in Blathnaid's workspace.
- Foundation Maths Test 1819 by Paul Molloy in Paul's workspace.
- Ryan's copy of Algebra and functions by Ryan Poling in Ryan's workspace.
- MATH1901 Quadratic Equations & Further Algebra by Blathnaid Sheridan in Blathnaid's workspace.
- MATH1601 CA2 Semester 1 by Blathnaid Sheridan in Blathnaid's workspace.