Area - squares and rectangles

  • Garden Fence
    problem

    Garden Fence

    Age
    14 to 16
    Challenge level

    Weekly Problem 44 - 2009
    A garden has the shape of a right-angled triangle. A fence goes from the corner with the right-angle to a point on the opposite side. How long is the fence?

  • Trig Rules OK
    problem

    Trig Rules OK

    Age
    16 to 18
    Challenge level

    Change the squares in this diagram and spot the property that stays the same for the triangles. Explain...

  • Proof of Pick's Theorem
    problem

    Proof of Pick's Theorem

    Age
    16 to 18
    Challenge level

    Follow the hints and prove Pick's Theorem.

  • Exploration versus Calculation
    article

    Exploration Versus Calculation

    This article, written for teachers, discusses the merits of different kinds of resources: those which involve exploration and those which centre on calculation.
  • Approaches to Area
    article

    Approaches to Area

    This article for teachers gives some food for thought when teaching ideas about area.
  • article

    From One Shape to Another

    Read about David Hilbert who proved that any polygon could be cut up into a certain number of pieces that could be put back together to form any other polygon of equal area.

Displaying 81 - 86 of 86