Look at these three things: a window pane, a kite, and a slice of cake cut with straight edges. Each one has four straight sides. So they are all in the same big family called quadrilaterals.
But are they all the same kind of four-sided shape? Hands up: what is different about the window and the kite?
Five four-sided shapes, one at a time. For each one we ask the same three questions before we name it: Which sides are equal? Which sides are parallel? Are the corners right angles?
Two sides are parallel when they stay the same distance apart all along and never meet, like two rails of a train track.
Look at the square and the rectangle together: both have four right angles. What extra thing does the square have that the rectangle does not?
Now a slanted one. Watch what happens to the right angles when a shape leans over.
Last, one more leaning shape. This one keeps its opposite sides equal rather than all four, so look carefully at what makes it different from the rhombus.
Now YOU name each shape. You will investigate five quadrilaterals, one at a time. For each one, reveal the equal sides and the parallel pairs, then use those clues to decide its name. For each one, reveal the equal sides and the parallel pairs first, then look at the clues and decide the name together.
In your maths copy, draw a square, a rectangle and a rhombus, one under the other. Beside each shape, write one property that makes it special.
Work in this order. First, build a square with four equal straws and four square corners. Next, lean the square over. Look at what it becomes: a rhombus. Then build a rectangle with two long straws and two short straws. Finally, lean the rectangle over too.
Each time, say what stayed the same and what changed.
Here is a puzzle. Someone says "a square is really just a special kind of rectangle." Is that right? What would you say back to them? Remember what we saw on the board: the square and the rectangle both have four right angles — what extra thing does the square have?
Next we look at polygons with more than four sides — pentagons, hexagons and octagons — and sort them into regular and irregular.
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