You probably came across quadrilaterals and their characteristics for the first time in Kindergarten. However, for a maths teacher it is one of the hardest things to teach. We teach it in grade 8 and again in grade 9 and again in grade 10. Now you might ask yourself,

“How difficult is it to understand that a square have 4 sides and 4 right angles?”

And you would be right. What learners struggle with it the relationships between the different quadrilaterals. A square have all the characteristics of a rectangle and can therefor be called a sub-group of rectangles. But not all rectangles are squares.

I have tried to explain this is multiple ways. Some years I try a tree diagram to show the relationships.

And other years we try Venn diagrams.

Even after a course on Feuerstein’s teaching methods I just could not make learners click what is going on here.

This year I decided not to teach quadrilaterals to my grade 10’s. I have after all done it the previous 2 years. I asked them to make a summary of all the characteristics for memory (with a little help from google). This fitted with my aim of not telling them something that they just as easily find for themselves.

The next lesson we did a Kahoot called, Always, sometimes, never, which I adapted from a public Kahoot by *kimblejl. *

The first few questions completely confused them. After each question I would take a moment to explain why the answer is what it is. They quickly caught what was going on. Even though they still did not find it easy, they got better and better at decided what is a subgroup of what.

Only after we completed the Kahoot did we set up the tree diagram. For the first time since I have been teaching this, did I feel that the kids was with me and understood what I was doing.

I ended the lesson with giving them the following 2 sentences:

*All squares are rectangles,*

*but not all rectangles are squares.*

*All kites are quadrilaterals,*

*but not all quadrilaterals are kites.*

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