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

Straight to Curves

Age 5 to 11
Challenge Level Yellow starYellow star
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources

For this activity, you'll need:

  • A square piece of plain paper (side length of $15$-$20$cm would work well)
  • Several sheets of differently coloured or patterned paper
  • Scissors
  • Glue
  • Pencil
  • Ruler
  • A sheet of plain backing paper, larger than your square piece of paper
Cut three or four strips of paper from different sheets of the coloured or patterned paper. These strips should be the same length as the side of your square sheet of paper but they can be different widths.

Stick the strips onto the square of paper so that they are parallel to each other and parallel to the sides of the square, like this:


On the other side of the square piece of paper, mark out straight lines that are about $1$cm apart, parallel to each other and at right angles to the coloured strips.

Cut along these lines so that you are left with many strips of equal length and equal width, like these:


How could you make a curve using these straight strips of paper?

Experiment with the strips, laying them out on the sheet of backing paper. Stick them down when you are happy with your curve.

Could you make a different curve?

This activity is based on an idea in Mathematics Through Art and Design published by Collins Educational.

You may also like

Tangrams

Can you make five differently sized squares from the interactive tangram pieces?

Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

Baked Bean Cans

Is there a best way to stack cans? What do different supermarkets do? How high can you safely stack the cans?

  • 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