Skip to main content
Links to the University of Cambridge website
Links to the NRICH website Home page
Nurturing young mathematicians: teacher webinars
30 April (Primary)
,
1 May (Secondary)
menu
search
Teachers
expand_more
Early years
Primary
Secondary
Post-16
Events
Professional development
Students
expand_more
Primary
Secondary
Post-16
Parents
expand_more
Early Years
Primary
Secondary
Post-16
Problem-solving Schools
About NRICH
expand_more
About us
Impact stories
Support us
Our funders
Contact us
search
Site search
search
Or search by topic
Number and algebra
The Number System and Place Value
Calculations and Numerical Methods
Fractions, Decimals, Percentages, Ratio and Proportion
Properties of Numbers
Patterns, Sequences and Structure
Algebraic expressions, equations and formulae
Coordinates, Functions and Graphs
Geometry and measure
Angles, Polygons, and Geometrical Proof
3D Geometry, Shape and Space
Measuring and calculating with units
Transformations and constructions
Pythagoras and Trigonometry
Vectors and Matrices
Probability and statistics
Handling, Processing and Representing Data
Probability
Working mathematically
Thinking mathematically
Mathematical mindsets
For younger learners
Early Years Foundation Stage
Advanced mathematics
Decision Mathematics and Combinatorics
Advanced Probability and Statistics
Mechanics
Calculus
Peg Rotation
Age
7 to 11
Challenge Level
Problem
Getting Started
Student Solutions
Teachers' Resources
Here we have a kind of peg board. The holes go all the way through so the pegs may be seen from the top or underneath.
You'll see the 4 blue pegs.
Now the peg board is either:
flipped over - north to south, OR east to west, OR north-east to south-west, OR north-west to south-east;
or it is rotated clockwise or anticlockwise.
Can you find out which movements could produce the four next views?
You could make some of your own and get your friends to see if they can find how you've moved it to make your next picture.
Try now to put 4 pegs in so that when you do a move with the board it still looks the same.
Now I've made a triangular board to do the same things.
Here's the starting view:
How has it been moved to show these views?
Hope you've had fun exploring these.
Can you think up ways of changing what I've done so that you can explore further?