Part the Polygons
Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.
Age
7 to 11
Challenge level
Problem
Using three straight lines divide this rectangle into four
parts.
Each part must contain a triangle, a rectangle, a pentagon, a
hexagon, a cylinder and an oval.
Image
Student Solutions
Teachers' Resources
Why do this problem?
This
activity gives pupils opportunities to explore using trial and
improvement. However, using some visualising and planning before
tackling the problem will lead to a more considered solution.
Possible approach
There will need to be an assurance that the pupils are happy
with the names as outlined in the question.
This problem can be presented to the pupils in an individual
way with them having their own copies of the picture. (You could
print off this
sheet .) However, many children will benefit from
working collaboratively and therefore being able to discuss each
others' ideas.
You could use the interactive whiteboard to annotate the
picture during a plenary.
Key questions
Tell me about the place where you've drawn your line.
What have you separated?
Possible extension
Ask the pupils to set out shapes in a different way that still
requires three lines to group them. What is their method for doing
this?