http://nrich.maths.org enriching shape & space bromley february 2015

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eNRICHing Shape & Space

BromleyFebruary 2015

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Tilted Squares

Can you find a quick and easy method to

work out the areas of tilted squares?

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Reflecting Squarely

In how many ways can you fit all three pieces

together to make shapes with line

symmetry?

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Shady Symmetry

How many different symmetrical patterns

can you make?

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Square It

Can you beat the computer?

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Opposite vertices

If I give you a line, can you tell me straight away if that line could be:

• the side of a square? • the diagonal of a square?

If such squares CAN be drawn, can you find an efficient method for drawing them?

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Vector Journeys

If I give you a vector that represents the side of a square, can you find the vectors that complete the square?

If I give you a vector that represents the diagonal of a square, can you find the vectors that complete the square?

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Isosceles Triangles

Draw some isosceles triangles with an area of 9 cm2 and a vertex at (20, 20).

If all the vertices have whole number coordinates, how many is it possible to draw?

Can you explain how you know that you have found them all?

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Can they be equal?

Can you find rectangles where the value of the area is the same as the value of the perimeter?

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Cuboid Challenge

Cut a square from each corner and fold up the flaps.

What volumes are possible for different sizes of cut-out squares?

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Finding angles in a triangle using a Geoboard environment

Start of a journey: a 9-point circle

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Kite in a square

What fraction of the total area is shaded?

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Marbles in a Box

How many winning lines are there?

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Geometry & Measure collection

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