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MFP1501 Assignment 3 2023
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MFP1501Assignment 3 2023
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, MFP1501 Assignment 3 2023
Question 1
In this MFP1501, we refer to mathematical modelling as the process whereby
we use abstractions of mathematics to solve problems in the real world. For
example, there are 21 learners in Grade 5 that will go on an excursion to Zoo
Lake. If one car will take a maximum of 6 learners, how many cars do we
need to carry everyone? You may use one car to work out 21 divided by 6.
This will give you 3,5. So, you would need 4 cars. Haylock (2014) argues that
there are four steps involved in this reasoning. In step 1, a problem in the real
world is translated into a problem expressed in mathematical symbols (21÷6,
in this case). In step 2, the mathematical symbol is manipulated to obtain a
mathematical solution (3,5). Step 3 is to interpret the mathematical solution
back in the real world (3 cars, and a half). The final step is to check the
answer against the constraints of the original solution. In this case, since you
cannot have half of a car, the appropriate conclusion is that you need 4 cars.
1.1 Summarise the process of mathematical modelling by first drawing a
diagram similar to Figure 3.1 in the study guide. N. B it should not be the
same. Be creative. (8)
1.1 Diagram:
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+------------------------------------------------------+
| |
| Mathematical Modelling |
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+------------------------------------------------------+
|Step 1|
| |
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