1. 2-D shapes recap
[GM4.1 Core Starter]
a) Investigate the connection between the area of a square and the
length of its diagonal squared.
b) Try to find the connection between the area of a square and its perimeter squared.
c) ABC is a triangle: A is at (1, 1) and B is at (5, 1). The area of the triangle is 6 squares. Find some possible positions of C.
Preamble
These problems are suitable for pairs and require pupils to interpret the situation and decide on the appropriate strategy. As a result some might need initial support.
Possible content
Areas of rectangles and triangles, perimeters of shapes, pattern spotting and using coordinates.
Resources
None.
Solution/Notes
a) Area of square = (diagonal squared) ÷ 2 or equivalent b) Area = (perimeter squared) ÷ 16 or equivalent c)
Original Material © Cambridge University Press 2010
Original Material © Cambridge University Press 2010