Resources tagged with Investigations similar to Earth Shapes:
Other tags that relate to Earth Shapes
Combinatorics. Curvature. Investigations. Topology. Networks/Graph Theory. Counting. 2D representations of 3D shapes. Euler's formula. Mathematical reasoning & proof. Polyhedra.There are 18 results
Geometry and Gravity 1
Stage: 3, 4 and 5
This article (the first of two) contains ideas for investigations. Space-time, the curvature of space and topology are introduced with some fascinating problems to explore.
Snookered
Stage: 4 and 5 Challenge Level: 
In a snooker game the brown ball was on the lip of the pocket but it could not be hit directly as the black ball was in the way. How could it be potted by playing the white ball off a cushion?
Magical Maze - 35 Activities
Stage: 4 and 5
Investigations and activities for you to enjoy on pattern in nature.
Spokes
Stage: 5 Challenge Level:
Draw three equal line segments in a unit circle to divide the circle into four parts of equal area.
Squareo'scope Determines the Kind of Triangle
Stage: 4
A description of some experiments in which you can make discoveries about mathematics.
Spirostars
Stage: 5 Challenge Level:
A spiropath is a sequence of connected line segments end to end taking different directions. The same spiropath is iterated. When does it cycle and when does it go on indefinitely?
Problem Solving: Opening up Problems
Stage: 1, 2, 3 and 4
All types of mathematical problems serve a useful purpose in mathematics teaching, but different types of problem will achieve different learning objectives. In generalmore open-ended problems have. . . .
Take Ten Sticks
Stage: 4 Challenge Level:
Take ten sticks in heaps any way you like. Make a new heap using one from each of the heaps. By repeating that process could the arrangement 7 - 1 - 1 - 1 ever turn up, except by starting with it?
Spiroflowers
Stage: 5 Challenge Level:
Analyse these repeating patterns. Decide on the conditions for a periodic pattern to occur and when the pattern extends to infinity.
Number Chains
Stage: 5 Challenge Level:
Find all the periodic cycles and fixed points in this number sequence using any whole number as a starting point.
Odd Stones
Stage: 4 Challenge Level:
On a "move" a stone is removed from two of the circles and placed in the third circle. Here are five of the ways that 27 stones could be distributed.
Eight Ratios
Stage: 4 Challenge Level:
Two perpendicular lines lie across each other and the end points are joined to form a quadrilateral. Eight ratios are defined, three are given but five need to be found.
Two Regular Polygons
Stage: 4 Challenge Level:
Two polygons fit together so that the exterior angle at each end of their shared side is 81 degrees. If both shapes now have to be regular could the angle still be 81 degrees?
There's Always One Isn't There
Stage: 4 Challenge Level:
Take any pair of numbers, say 9 and 14. Take the larger number, fourteen, and count up in 14s. Then divide each of those values by the 9, and look at the remainders.
Twizzles Venture Forth
Stage: 4 Challenge Level:
Where we follow twizzles to places that no number has been before.
Peeling the Apple or the Cone That Lost Its Head
Stage: 4 Challenge Level:
How much peel does an apple have?
Sextet
Stage: 5 Challenge Level:
Investigate x to the power n plus 1 over x to the power n when x plus 1 over x equals 1.
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