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<td colspan="6" style="text-align: center;"><span style="font-weight: bold;">stemNRICH : Science, Technology, Engineering, Mathematics</span> <span style="font-weight: bold; font-style: italic;">enriched</span></td>
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<p>Welcome to <span style="font-weight: bold;">bioNRICH</span>: the biology section of <a href="http://nrich.maths.org/6298&part=">stemNRICH</a>. This contains mathematical activities for students aged 14 - 19 designed to complement and enhance the study of biology.<br></br>
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<th scope="col" width="100">Area of biological Maths</th>
<th scope="col" width="25"><a href="http://nrich.maths.org/6103&part=">Style</a></th>
<th scope="col" width="150">Question</th>
<th scope="col">Description</th>
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<td rowspan="1">Basic maths in biology</td>
<td><mdo:image alt="" height="30" src="investigate30x30.jpg" width="30"></mdo:image></td>
<td style="font-style: normal;"><a href="http://nrich.maths.org/6140&part=">Big and Small Numbers in Biology</a></td>
<td>10 individual questions using numbers big and small to calculate or estimate various quantities in simple biological contexts.</td>
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<td rowspan="2">Measurement and estimation</td>
<td><mdo:image alt="" height="30" src="stopwatch30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6158&part=">Using the Haemocytometer</a></td>
<td>This problem gives an interactive version of a haemocytometer, a tool used to measure cell counts in fluid samples. You can keep practising with new samples until you have cracked the maths.</td>
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<td> <mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/7412&part=">Bird-brained</a></td>
<td>Estimate how many eggs a bird should lay to maximise the number of chicks that will hatch in this introduction to optimisation. </td>
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<td rowspan="2">Graphs and equations</td>
<td><mdo:image alt="" height="30" src="lips30x30.JPG" width="30"></mdo:image></td>
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<div><a href="http://nrich.maths.org/6678&part=">Graphic Biology</a></div>
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<td>What biological processes might fit onto these graphs? What units and axes would be relevant? What functions would describe the graphs?</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td style="font-style: normal;"><a href="http://nrich.maths.org/6457&part=">Drug Stabiliser</a></td>
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<div>How does the half-life of a drug affect the build up of medication in the body over time?</div>
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<td rowspan="3">Statistics in biology</td>
<td><mdo:image alt="" height="30" src="interactive30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=4489&part=">Epidemic Modelling</a></td>
<td>Use this interactivity to try to explore the evolution of diseases. You can choose the parameters and see how the disease evolves. Will anyone survive?</td>
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<td><mdo:image alt="" height="30" src="investigate30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=5830&part=">Very Old Man</a></td>
<td>Is it likely someone could have lived to 200 years old? Use statistics to investigate.</td>
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<td><mdo:image alt="" height="30" src="lips30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6347&part=Chi%20squared%20faker">Chi-squared Faker</a></td>
<td>How could you massage this $\chi^2$-squared test to reject the hypothesis?</td>
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<td rowspan="4">Moles and molarity</td>
<td colspan="3" style="font-style: italic;">See also the Moles and Molarity section on the <a href="http://nrich.maths.org/6463&part=" style="font-style: normal;">chemNRICH</a> pages</td>
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<td><mdo:image alt="" height="30" src="interactive30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/6386&part=">Concentrations</a></td>
<td>Use the interactivity to practise your skills with concentrations and molarity.</td>
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<td><mdo:image alt="" height="30" src="interactive30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6142&part=">Mixed Up Mixture</a></td>
<td>A standard calibration for a spectrophotometric assay for lysozyme was performed and the data tabulated. The data have become mixed up. Can you reassemble it using the interactive card sorter?</td>
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<td><mdo:image alt="" height="30" src="interactive30x30.JPG" width="30"></mdo:image></td>
<td style="font-style: normal;"><a href="http://nrich.maths.org/6391&part=">Absorbance</a></td>
<td>Test your skills at this light-absorbance calculation.</td>
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<td rowspan="2">Dilutions</td>
<td colspan="3"><span style="font-style: italic;">See also the Dilutions section on the</span> <a href="http://nrich.maths.org/6463&part=">chemNRICH</a> <span style="font-style: italic;">pages</span></td>
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<td><mdo:image alt="" height="30" src="interactive30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/6882&part=">Ratios and Dilutions</a></td>
<td>Scientists often require solutions which are diluted to a particular concentration. In this problem, you can explore the mathematics of simple dilutions.</td>
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<td rowspan="3">DNA and Genetics</td>
<td><mdo:image alt="" height="30" src="stopwatch30x30.JPG" width="30"></mdo:image><mdo:image alt="" height="13" src="blank10x10.jpg" width="12"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6315&part=The%20genes%20of%20Gilgamesh">The Genes of Gilgamesh</a></td>
<td>Is it possible to create a genetic stock of the type that the hero Gilgamesh was said to possess?</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/6645&part=">Why Multiply When You're about to Divide?</a></td>
<td>The Polymerase Chain Reaction is a technique used to amplify the amount of DNA in a sample. Find out how it works here.</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/6680&part=">Is Your DNA Unique?</a></td>
<td>Use combinatorics to analyse the liklihood of someone sharing your DNA.</td>
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<td rowspan="2">Shapes</td>
<td><mdo:image alt="" height="30" src="lips30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6156&part=">Fitting Flat Shapes</a></td>
<td>Develop your understanding of area by visualising the best way in which you can pack various shapes together most efficiently. Does Nature pack shapes efficiently?</td>
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<td><mdo:image alt="" height="30" src="lips30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6162&part=">Packing 3D Shapes</a></td>
<td>Can you visualise or sketch the packing of the sorts of 3D shapes which occur in nature?</td>
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<td rowspan="2">Advanced mathematics in biology</td>
<td><mdo:image src="individual30x30.jpg"></mdo:image></td>
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<div><a href="http://nrich.maths.org/6510&part=">Predator-prey Systems</a></div>
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<td>Use differential equations to model the evolution of a system of carnivorous predators and their vegetarian prey.</td>
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<td><mdo:image src="individual30x30.jpg"></mdo:image></td>
<td><a href="http://nrich.maths.org/6788">Prepare for university</a></td>
<td>Get yourself ready for university with these questions and guidance on mathematical biology.</td>
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<td rowspan="1">Articles</td>
<td><mdo:image alt="" height="30" src="investigate30x30.jpg" width="30"></mdo:image></td>
<td style="font-style: normal;"><a href="http://nrich.maths.org/6639&part=">Genetic Intrigue</a></td>
<td>Read this introduction to core topics in genetics.</td>
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<mdoxml version="1.0">Each problem in the bioNRICH pages has an accompanying set of
teachers notes.<br></br>
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The problems have been designed with both the teacher and the
learner in mind. They are appropriate for whole-class teaching use
across a range of abilities and levels.<br></br>
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For general guidance on using NRICH resources in the classroom, see
our article <a href="http://nrich.maths.org/public/viewer.php?obj_id=6306&part=">Teaching
Suggestions for Rich Tasks</a><br></br>
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\bioNRICH
bioNRICH is the area of the stemNRICH site devoted to the
mathematics underlying the study of the biological sciences,
designed to help develop the mathematics required to get the most
from your study of biology at A-level and university.
Applications
biology
Mathematics Education and Research
Enrichment
Mathematics Education and Research
Rich Tasks
Using, Applying and Reasoning about Mathematics
Real world
Using, Applying and Reasoning about Mathematics
Mathematical modelling