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

Algebra in the New Curriculum

Algebra in the New Curriculum

Algebra is only formally mentioned in the new National Curriculum at Year 6. However, we can encourage algebraic thinking from a much younger age. In her article, Anne Watson suggests ways of developing an algebraic, structural understanding of number and arithmetic. Lynne's article builds on this by explaining how the chosen tasks below support Anne's advice.

What's X Got to Do with It? 
Age 5 to 16

By following through the threads of algebraic thinking discussed in this article, we can ensure that children's mathematical experiences follow a continuous progression.

Making Algebra Rich 
Age 5 to 11

Lynne suggests activities which support the development of primary children's algebraic thinking.

Heads and Feet 
Age 5 to 7
Challenge Level Yellow starYellow star

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

Ip Dip 
Age 5 to 11
Challenge Level Yellow star

"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

Super Shapes 
Age 7 to 11
ShortChallenge Level Yellow star

The value of the circle changes in each of the following problems. Can you discover its value in each problem?

Plenty of Pens 
Age 7 to 11
Challenge Level Yellow star

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

Shape Times Shape 
Age 7 to 11
Challenge Level Yellow star

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

Sticky Triangles 
Age 7 to 11
Challenge Level Yellow starYellow starYellow star

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?

Related

  • Patterns and Sequences KS1
  • Conjecturing and Generalising at KS1
  • Conjecturing and Generalising at KS2
  • Patterns and Sequences KS2
  • 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