eNRICHing Shape & Space Bromley February 2015.

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Presentation transcript:

eNRICHing Shape & Space Bromley February 2015

Tilted Squares Can you find a quick and easy method to work out the areas of tilted squares?

Reflecting Squarely In how many ways can you fit all three pieces together to make shapes with line symmetry?

Shady Symmetry How many different symmetrical patterns can you make?

Square It Can you beat the computer?

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?

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?

Isosceles Triangles Draw some isosceles triangles with an area of 9 cm 2 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?

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

Cuboid Challenge Cut a square from each corner and fold up the flaps. What volumes are possible for different sizes of cut-out squares?

Finding angles in a triangle using a Geoboard environmentGeoboard environment Start of a journey: a 9-point circle

Kite in a square What fraction of the total area is shaded?

Marbles in a Box How many winning lines are there?

Geometry & Measure collection