Squares

Just four procedures were used to produce a design. How was it done? Can you be systematic and elegant so that someone can follow your logic?

Look at how the pattern is built up - in that way you will know how to break the final pattern down into more manageable pieces.

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

A square of area 40 square cms is inscribed in a semicircle. Find the area of the square that could be inscribed in a circle of the same radius.

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

How would you move the bands on the pegboard to alter these shapes?

These pictures show squares split into halves. Can you find other ways?

Can you use LOGO to create a systematic reproduction of a basic design? An introduction to variables in a familiar setting.

Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?