Mathematics
Intermediate
50 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen
Drinking straws

Classifying Quadrilaterals

Discover how to name four-sided shapes by checking their sides, angles and corners. Sort through squares, rectangles, rhombuses and more by their properties.

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    1 - Getting Started ~4 mins

    Key point

    Think of 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?

    2 - Watch and Notice ~12 mins

    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.

    3 - Try It Together ~10 mins

    Key point

    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.

    Name the quadrilateral

    4 - Draw Three in Your Copy ~3 mins

    COPYBOOK MOMENT

    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.

    5 - Class Challenge ~12 mins

    Key point

    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.

    Hands-on Task

    6 - What Did We Notice? ~5 mins

    MATHS TALK

    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?

    7 - What's Next ~4 mins

    Today you learned

    • Every four-sided shape is a quadrilateral, but its name comes from its properties.
    • Check three things to name one: equal sides, parallel sides, and right angles.
    • A square is a special rectangle — it follows every rectangle rule and adds equal sides.

    Coming up

    Next we look at polygons with more than four sides — pentagons, hexagons and octagons — and sort them into regular and irregular.

    Pupil practice
    Module 7 · 2D and 3D Shapes and Angles Shape & Space
    Lesson 79 · Classifying Quadrilaterals
    Download Activity Book page (PDF)
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