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
Age 5 to 7
Article by Jenny Murray

Published 2006 Revised 2017

Mechanics in the Primary Years


In years gone by, before the advent of the National Curriculum, the practical activities in the Primary School that are the forerunners of 'Mechanics' were seen as part of the maths syllabus*. At that time, strange as it may seem to today's primary teachers, science was not a central part of the work in school during the primary years. Now, however, these activities are covered in the Science curriculum.

The background to Mechanics is based in Newton's laws. These are about 'forces', 'motion', 'acceleration' and 'equilibrium' (that is having no acceleration). This may seem an unduly complicated aspect for primary pupils and their teachers, and some of it is not covered at this stage, but is in fact part of our every day experiences. To turn these experiences into conscious thoughts, children need to engage in relevant practical activities and be given the language to internalise and discuss them.

The idea of a 'force' can be experienced by pushing and pulling objects, and stretching elastic bands and springs. Force is measured with a forcemeter. Gravity can be seen as a force by rolling marbles or toys with wheels down a slope. 'Friction' can also be explored using a forcemeter by dragging and rolling objects over various surface. Air resistance is demonstrated well by model parachutes.

The idea of 'equilibrium' is rather more difficult in a way. In the sense it is used in primary schools, nothing is happening, everything is stationary*. It can be illustrated when balance scales are used for weighing. However, these are seldom used at KS 2. A 'number balance' (also called 'a balance bar' or 'equaliser') can be a useful piece of equipment that can also be used for explorations in number by younger children. Weights are hung below the numbers:

an equaliser
A number balance or equaliser
The Science curriculum as used by many primary schools can be found in the DfEE Raising Standards Science publication*. This divides each year's science into six units, of which one is relevant to 'mechanics', each requiring from 7 to 9 hours work depending on age.
At KS 1, children find out about Pushes and Pulls through playing with moving toys such as trolleys, toys that move, water and sand wheels, and discussing and reporting on their discoveries. In Year 2 they experiment with toy cars on ramps, comparing the distance travelled by vehicles of different sizes and weights, and with ramps with varying slopes and surfaces*.
During Years 3 and 4 children will encounter springs and elastic bands used for propulsion. They will use forcemeters to measure weight and friction over different surfaces, and use model parachutes or paper cake cases to demonstrate air resistance. They will be encouraged not only to discuss these concepts but also make predictions*.
forcemeter
A forcemeter
By the top end of the primary school children will have met more facts and will also have developed many that they had encountered earlier. The unit in Year 5 is mostly devoted to information about gravity and the solar system. In Year 6 they will use forcemeters to weigh objects in air and water, including those that float. They will make graphs about such things as stretching elastic bands with different weights, and looked at the results of weighting paper parachutes and spinners with paperclips*.
Through all this the importance of discussion and prediction are emphasised. These are very important in learning, but so also are practical activities. This is immortalised in the Chinese proverb introduced to maths in the mid 1960s*: "I hear and I forget, I see and I remember, I do and I understand."
*Notes
1. These practical activities were described for those concerned with primary maths education in books such as Primary Maths Today Williams & Shuard. Longman. 1970, 1994.
2. DfEE Raising Standards "Scheme of work for KS 1 and 2" 1998.
3. Care should be taken when using the word "equilibrium". If you move the weight on the left from 10 to 8 the bar will rest at an angle but will not be moving. There are in fact two sorts of equilibrium to consider. The one where the resultant force is zero and the one where the resultant moment is zero. The balance bar is dealing with moments so cannot illustrate the other sort of equilibrium unless you consider the force on the pivot. At primary level, it might be best to avoid using the word "equilibrium" altogether otherwise false generalisations can be adopted which could cause later confusion.
4. Units 1E, 2E.
5. Units 3E, 4E.
6. Units 5E, 6E.
7. The Nuffield Mathematics Project established 1964.

  • 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