Resources tagged with Investigations similar to Geometry and Gravity 1:
Other tags that relate to Geometry and Gravity 1
Investigations. Mathematical reasoning & proof. Geodesics. Spheres. Logo. Curvature. 2D representations of 3D shapes. Angles. Topology. Non Euclidean Geometry.There are 21 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.
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. . . .
Squareo'scope Determines the Kind of Triangle
Stage: 4
A description of some experiments in which you can make discoveries about mathematics.
Peeling the Apple or the Cone That Lost Its Head
Stage: 4 Challenge Level: 
How much peel does an apple 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?
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?
Investigating Pascal's Triangle
Stage: 2 and 3 Challenge Level:
In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.
Magical Maze - 35 Activities
Stage: 4 and 5
Investigations and activities for you to enjoy on pattern in nature.
Consecutive Numbers
Stage: 2 and 3 Challenge Level:
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
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.
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?
Counting on Letters
Stage: 3 Challenge Level:
The letters of the word ABACUS have been arranged in the shape of a triangle. How many different ways can you find to read the word ABACUS from this triangular pattern?
Grrrrrrrrrrrreat Squares
Stage: 2 and 3 Challenge Level:
Investigate how this pattern of squares continues. You could measure lengths, areas and angles.
Chocolate
Stage: 2 and 3 Challenge Level:
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?
Stacks of Maths!
Stage: 1, 2 and 3
In this article for teachers, Bernard gives an example of taking an initial activity and getting questions going that lead to other explorations.
Twizzles Venture Forth
Stage: 4 Challenge Level:
Where we follow twizzles to places that no number has been before.
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.
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.
Pebbles
Stage: 2 and 3 Challenge Level:
Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
Teddy Town
Stage: 1, 2 and 3 Challenge Level:
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
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