Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
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

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
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage

Playing with 2D Shape

Playing with 2D Shape

Giving children chance to 'play around' with two-dimensional shapes gives them the freedom to explore spatial properties for themselves, thereby developing their understanding in a meaningful way.  These activities offer contexts in which children can engage in this 'play'.


Matching Triangles 
Age 5 to 7
Challenge Level Yellow star

Can you sort these triangles into three different families and explain how you did it?

Let's Investigate Triangles 
Age 5 to 7
Challenge Level Yellow star

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Sorting Logic Blocks 
Age 5 to 11
Challenge Level Yellow star

This activity focuses on similarities and differences between shapes.

Transformations on a Pegboard 
Age 7 to 11
Challenge Level Yellow star

How would you move the bands on the pegboard to alter these shapes?

Stringy Quads 
Age 7 to 11
Challenge Level Yellow starYellow star

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Stick Images 
Age 7 to 14
Challenge Level Yellow star

This task requires learners to explain and help others, asking and answering questions.

Geometric Thinking - Teacher Articles 
Age 3 to 11

This series of three articles discusses the development of geometric thinking.

Related

  • More Playing with 2D Shape Lower Primary
  • More Playing with 2D Shape Upper Primary
  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X logo

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

University of Cambridge logo NRICH logo