Build It Up More
Age
7 to 11
Challenge level
This task follows on from Build it Up and takes the ideas into three dimensions!
Problem
This is written as a follow-on from Build it Up.
You could extend what you did in Build it Up by thinking of it in 3D!
The circles would then be spheres.
Each numbered sphere would then sit on the three underneath and the whole thing would end up being a triangular based pyramid.
So there would be six numbers (in an equilateral triangle) at the bottom, as in this example:
Image
Then the next layer up would be:
Image
So the top layer would be:
Image
You can explore finding a triangle of six numbers (we don't use zero!) and add them in threes to give a triangle of three numbers. As in Build it Up, we would then like those three numbers to add to 15 at the very top of the pyramid.
Here's a pdf version of this activity: BuildItUpMore.pdf
Here's a pdf version of this activity: BuildItUpMore.pdf
Student Solutions
We haven't received any solutions to this task yet. If you have a solution you would like to share with us, please email us your ideas.
Teachers' Resources
Some ideas for how number pyramids might be used in the classroom can be found in the Teachers' Resources for Build it Up.