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

Classifying Quadrilaterals

Explore the properties of quadrilaterals by examining equal sides, parallel sides and right angles. Learn to sort four-sided shapes into families: squares, rectangles, rhombuses, parallelograms and trapeziums.

Teacher Class Feed

Load previous activity

    1 - Getting Started ~4 mins

    Look at these three things: a window, a kite and a slice of cake. Each one has four straight sides. But are they all the same kind of four-sided shape? Hands up: what is the same about all three, and what looks different?

    2 - Watch and Notice ~9 mins

    Two sides are parallel when they stay the same distance apart and never meet, no matter how far they go. Keep that idea in mind as we look at each shape.

    First, the two square-cornered shapes

    Square. Watch this shape closely. A square has four equal sides and four square corners — look hard at those corners.

    Rectangle. This one has its opposite sides equal and four square corners, but the sides are not all the same length.

    Quick check: what is the same about a square and a rectangle? Both have four square corners.

    Next, the two leaning shapes

    Rhombus. Now watch this one lean over. A rhombus has four equal sides like a square, but its corners are not square.

    Parallelogram. This shape has its opposite sides equal and parallel, but it leans over too, so its corners are not square either.

    Quick check: what made these two shapes different from the first two? They lean, so they have no square corners.

    Last, the odd one out

    Trapezium. This last one is different from all the others. It has just one pair of parallel sides.

    3 - Try It Together ~9 mins

    Today we work through these together: a shape card appears, and we sort it into the right quadrilateral family. We check the sides, then the parallel sides, then the corners before we decide. Is it a square, a rectangle, a rhombus, a parallelogram or a trapezium?

    Sort the quadrilateral

    4 - Note Their Special Property in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, draw a square, a rectangle and a parallelogram. Beside each one, write one property that makes it special.

    5 - Class Challenge ~9 mins

    Today we build and change shapes with straws. We will build a square, then lean it over to make a rhombus. We will build a rectangle, then lean it over to make a parallelogram. Each time, we say what stayed the same and what changed. For the stretch, build a trapezium and prove it has exactly one pair of parallel sides.

    Hands-on Task

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    How is a square also a special rectangle? Talk it through: what does a square share with a rectangle, and what extra thing does a square have?

    7 - What's Next ~3 mins

    Today we learned

    • Every four-sided shape has its own name, decided by its equal sides, its parallel sides and its right angles.
    • A square has four equal sides and four square corners; a rectangle has square corners but opposite sides equal; a rhombus and a parallelogram lean over; a trapezium has just one pair of parallel sides.
    • A square is a special rectangle.

    Coming up

    Coming up

    Next we will look at polygons with more than four sides, and learn how to tell a regular shape from an irregular one.

    Pupil practice
    Module 7 · 2D and 3D Shapes and Angles Data & Chance
    Lesson 73 · Classifying Quadrilaterals
    Download Activity Book page (PDF)
    End of lesson
    123learn · Online learning platform

    Unlock the full learning experience

    You're previewing this lesson. Get full access to this lesson and hundreds more — each one ready to teach, with interactive activities, printable resources and pupil progress tracking built in.

    Hundreds of curriculum-aligned lessons
    Interactive activities in every lesson
    Printable resources & progress tracking
    Copyright Notice
    This lesson is copyright of 123Learn.ie 2017 - 2025. Unauthorised use, copying or distribution is not allowed.
    🍪 Our website uses cookies to make your browsing experience better. By using our website you agree to our use of cookies. Learn more