I try to keep my language consistent to help students draw connections, and link new rules back to the original concept they’re built on. So:
Area always involves ‘width x height’.
Two versions of a presentation and a handout for students to fill in as you recap the rules on area of 2D shapes. One version without circles included, and one that includes circles, linking them to the same approach.
Suited for classes who’ve seen the rules before but need more practice, and could do with seeing that actually all the rules for area are essentially the same rule but with adjustments included. The activity includes showing the rule and going through one example for each shape.
I think this really starts to pay off once you start presenting trapeziums as ‘average width x height’ and circles as ‘three and a bit’ times bigger than a square drawn in one of its quadrants.
Note: The presentations were made as Google Slides that I’ve made available to view online for free at maths.mrhatchard.co.uk. I’ve downloaded them as Powerpoint files and included them here so that you can keep them forever, edit them, print slides out, etc, which you can’t do with the online versions.