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Investigations: Pancakes, pancakes

Authors:
INVESTIGATIONS
Wow! What a lot of work Jack had to
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the wheat, transport the wheat on the
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milk the cow, churn the butter, collect the
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and then cook the pancakes! If his alarm
went off at 6am, what time do you think
he eventually ate the pancake? Try to
estimate a realistic length of time taken
for each of the tasks to work out what
time he ate.
ENABLING PROMPT
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up at 6am and it took him 20 minutes to
cut the wheat, 20 minutes to transport
the wheat and another 20 minutes to mill
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the problem.
EXTENDING PROMPT
Jack’s sister Jill was quicker than Jack at
some of the tasks, but slower than Jack
at others. Jill was a deft farm-hand and
could cut the wheat, transport it, mill
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kitchen. It took her four times as long
CHALLENGING TASK 2:
WHAT TIME DO WE EAT?
THE MATHEMATICAL
ASSOCIATION OF VICTORIA
PRIME NUMBER: VOLUME 33, NUMBER 4. 2018
© The Mathematical Association of Victoria
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team (james.russo@monash.edu), for the opportunity to have it published in Prime Number as a resource to share with other
teachers and students. If possible, try and include photographs of work samples, as well as of students engaging in the task.
SHARE YOUR EXPERIENCE
Read Pancakes, Pancakes!, by Eric Carle and tackle the investigations, suitable for students in Year 3 and beyond.
PANCAKES, PANCAKES!
Toby Russo, Bell Primary School and James Russo, Monash University
CHALLENGING TASK 1:
DESIGNING JACK’S FARM
Did you know it takes about 1 metre
squared of wheat crops to get one bag of
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farm on which they are growing wheat.
Their farm is surrounded by 24 metres of
fence. What is the maximum amount of
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their farm? What are all the different size
farms they might have? You may want to
use concrete materials (e.g. toothpicks) to
represent the different possibilities.
ENABLING PROMPT
Imagine Jack’s wheat farm is 12 metres
squared, so it produces 12 bags of wheat.
What different shapes might the farm
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record the different possible arrays. What
is the perimeter (distance around the
outside) of each possible farm?
EXTENDING PROMPT
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all the wheat on his farm? Imagine each
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If he started eating the pancakes on
1 January, 2019 and had one for breakfast
each day, approximately when would he
eat the last pancake?
as Jack to churn the butter, fetch the
strawberry jam and to cook the pancake.
Based on your estimates, who is faster
at preparing pancakes Jack or Jill?
Compare your results to other students in
your class to see whether your classmates
agree. For an extra challenge, can you
work out how long each activity might
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pancakes in exactly the same amount of
time?
Pancakes, Pancakes! is available from
the MAVshop, http://shop.mav.vic.edu.au.
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