'Tip of the Iceberg' Maths Problems
A constant challenge for teachers is to cater for the diversity of students in my classes. Matt Skoss is always looking to incorporate rich Maths tasks that are easy for students to make a start on the problem, but once students are engaged in the problem, they are exposed to the deeper, richer Mathematics lurking beneath the surface, hence the use of the 'iceberg' metaphor.
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28. t1 = a + b
t2 = b + c
t3 = a + c
The number on the edge is
the sum of the two numbers
on the vertices.
29. t1 = a + b
t2 = b + c
t3 = a + c
t1 - t2 = (a + b) - (b - c)
this becomes
t1 - t2 = a - c
30. t1 = a + b
t2 = b + c
t3 = a + c
t1 - t2 = (a + b) - (b - c)
this becomes
t1 - t2 = a - c
31. Put your finger near the top circle to
highlight the difference between 13 and 8,
which is 5.
32. Put your finger near the top
circle to highlight the
difference between 13 and 8,
which is 5.
So, the opposite circle numbers
must have a difference of 5
AND sum to 9.
33. Put your finger near the top
circle to highlight the
difference between 13 and 8,
which is 5.
So, the opposite circle numbers
must have a difference of 5
AND sum to 9.
Zero is not being used. The only
pairs of numbers which sum to 9
are: (8, 1), (7, 2), (6, 3), (5, 4)
34. Put your finger near the top
circle to highlight the
difference between 13 and 8,
which is 5.
So, the opposite circle numbers
must have a difference of 5
AND sum to 9.
Zero is not being used. The only
pairs of numbers which sum to 9
are: (8, 1), (7, 2), (6, 3), (5, 4)
35. Put your finger near the top
circle to highlight the
difference between 13 and 8,
which is 5.
So, the opposite circle numbers
must have a difference of 5
AND sum to 9.
Zero is not being used. The only
pairs of numbers which sum to 9
are: (8, 1), (7, 2), (6, 3), (5, 4)