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
Four Layers
Age
5 to 11
Challenge Level
Problem
Getting Started
Teachers' Resources
This may be used to follow on from
Cubes Here and There
.
Looking at the three models here you may see that they have a lot in common although they are obviously different.
The things that are the same produce the rules.
So the rules are;
$1$/ Each colour stays at the same level in each model.
$2$/ Cubes of the same colour are not separated - they stay together.
$3$/ The numbers of cubes for each colour is fixed at $1, 2, 3$ and $4$.
$4$/ The cubes sit squarely face to face with no twists or slides.
Your challenge is to create more shapes that follow the four rules.
When you have done so, compare them and show similarities and differences.