2361
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2011-02-01T00:00:01
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Here is a picnic that Chris and Michael are going to share equally.
</p><p style="text-align: center;"><mdo:image src="picnic.jpg" height="356" width="400" alt="one apple, pizza split into four pieces, eight tomatoes, four muffins,two cartons of orange juice"></mdo:image></p>
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Can you tell us what each of them will have?
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<p class="editorial">We have been inundated with solutions to this
problem - thank you so much! It is very difficult to pick some
names to mention. Deiniol explained:</p>
I found the answer by dividing the total number of each item of
food by 2 (because there were two boys!). Each boy will have - 2
slices of pizza, 4 tomatoes, a carton of orange juice, half an
apple and 2 muffins.<br></br>
<p class="editorial">Anna and Eden from West Hill Primary
wrote:</p>
They would split the apple in half. They would have half a pizza
each, two muffins each, four tomatoes each and one drink
each.<br></br>
<p class="editorial">Of course this is exactly the same as
Deiniol's solution, but the amount of pizza is given in a slightly
different way.</p>
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<h2>Fair Feast</h2>
<br></br>
<p>Here is a picnic that Chris and Michael are going to share equally.</p>
<p style="text-align: center;"><mdo:image alt="one apple, pizza split into four pieces, eight tomatoes, four muffins,two cartons of orange juice" height="356" src="picnic.jpg" width="400"></mdo:image></p>
<p>Can you tell us what each of them will have?</p>
<p> </p>
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<h3><span style="font-weight: bold;">Why do this problem?</span></h3>
<div>In <a href="http://nrich.maths.org/public/viewer.php?obj_id=2361&part=index">this problem</a> , the familiar context of sharing provides an opportunity in which to explore fractions in a variety of ways. The task involves finding fractional quantities of whole numbers as well as dividing a unit into equal pieces.</div>
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<h3>Possible approach</h3>
<div>You may want to create your own 'picnic' consisting of empty boxes and cartons, or the real thing. Alternatively, the problem could be introduced by displaying the photo on the board. No matter how you present the food to be shared, you could contextualise the picnic by telling a 'story' to your class.</div>
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<div>Allowing learners to talk, perhaps in pairs, about the solution will give them a chance to articulate what they know about halving. Walking around the room listening to their discussions may be a good assessment opportunity for you.</div>
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<div>When you come to talking about the solution as a whole class, it would be helpful to be able to physically share the picnic, if using real food or models. If you're using the photograph, it would be good to be able to annotate it, for example on the interactive whiteboard, so children could come up and group/split the images of the items. Encourage pupils to explain how they know each part
of the picnic has been shared equally, listening out for responses which refer to the two parts being exactly the same. You can discuss different ways of describing the share of pizza - two slices, two quarters, one half ...</div>
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<h3>Key questions</h3>
<div>How many/much of these/this is there altogether?</div>
<div>How would we share that fairly between two?</div>
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<h3>Possible extension</h3>
<div>What would happen if the picnic was split between four children instead of two? Are there other numbers of children that it would be easy to split the picnic for?</div>
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<h3>Possible support</h3>
<div>Some pairs might find it easier to have a print out of the photo to work from. Having items to share physically will make this problem more accessible.</div>
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<mdoxml version="1.0">How many tomatoes are there? So how many will they get each? <br></br>What fraction of the whole pizza is one slice? How many slices will each boy get?<br></br>How can you share the apple out fairly?<br></br><br></br><br></br></mdoxml>
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They will each have: <br></br>
half an apple <br></br>
two quarters of pizza = half pizza <br></br>
four tomatoes <br></br>
a carton of orange juice <br></br>
two muffins<br></br>
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Fair Feast
Here is a picnic that Chris and Michael are going to share equally.
Can you tell us what each of them will have?
Fractions, Decimals, Percentages, Ratio and Proportion
Calculating with fractions
Calculations and Numerical Methods
Multiplication & division
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Upper primary mapping document