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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

Maths/science Curriculum Links

Age 11 to 16

These examples give some of the natural cross-over points between maths and science for students in the 11-16 year age range.  

Age

Science (with reference to GCSE syllabus)

Maths (with reference to UK National Curriculum levels)

11-12

Variation (Biology)

Bar charts/line graphs (L3-6)
Interpreting graphs (L4-6)

11-12

Mass & Weight, Speed, Pressure

Reading scales (L3-4)
Distance/time and mass/weight graphs (L5-6)
Rates of change and compound measures (L7-8, Unit 2 GCSE)

11-12

Forces :Hooke's Law, Friction, Speed.  Direct proportion as a concept appearing.  From a maths viewpoint links to initial use of equations and basic algebraic substitution.

11-12

Classification & food webs -Could link the idea of classification in Science to classification of 2D shapes or quadrilaterals in maths.  Statistics built in with the science content through use of data collection with quadrants, calculating averages when investigating the food webs.  Possible connections to area as well e.g. estimating areas of different size leaves.

11-12

Sc uses trolleys and light-gates to calculate speed.  Sc could make a video of this the next time it happens for Ma to use to help the pupils recall this. 

11-13

Negative numbers for boiling and melting points of elements; which stay solid for largest range of temperatures? This incorporates differences between negative numbers.

11-13

Balancing Equations (Chemistry)

Ratios
Unitary method (L3-4)
Simplify ratios, divide quantities into two parts (L4-5)
Divide into quantities of more than two parts (L5-6, Unit 2 GCSE)
Interpret ratios in a range of contexts (L6-7, Unit 2 GCSE)

12-13

Solar System (Physics)
Swirling water tub with balls to demonstrate orbits.
Relative sizes, distances from the sun, temperatures, orbital period

Loci (all levels)
Circumference/area of a circle (L6-7, Unit 2/3 GCSE)
Standard form
Orbits (KS5)

12-13

Graphing, sequences from experiments such as measurement of temperature.

12-13

Liquid soap: how watered down does soap need to be before just slipping of hands/surfaces at various angles.

Angles of elevation, ratios, rearranging, averages from repeated measurements.

13-14

Building on the clear links between the Investigation Cycle in science and the Data Handling Cycle in maths by having a joint maths/sci project.

13-14

Dinosaurs, percentages, ratio, scales and scale drawing; timelines.  There could be links to Y7 fossils in science.

13-14

Pressures, forces & moments, formulae rearranging

13-14

Chemical Patterns, concentration of solutions, ratio.

13-14

Reaction Times,Drugs & Behaviour/Quest for Intelligence data handling.  Science look at the effects of caffeine on reaction times.  In maths could have a data handling project where collecting reactions times provides one set of data to investigate hypotheses comparing boys' and girls' 'abilities'

13-15 Attach data loggers to a pupil and watch as they attempt to create particular distance/time graphs.  Pupils are used to seeing the x and y axes as spatial axes, which means the graph creates a picture of what we would see in real life.  A distance/time graph is different, but some pupils assume it shows someone climbing a hill, for example.

14-16

Air Quality/pollutants (GCSE Chem, 21st Century)

Averages, range, outliers, repetition of trials (probability), reliability of results/comments and comparisons  of results (Unit 1 GCSE)

14-16

Risk (IAS 5 21st Century)

Percentages, ratio, proportionality, sampling (Unit 2 GCSE)

14-16

Parallax Error, trigonometry.  Linking initial discovery into trigonometrical ratios with this.  Also could be developing concept of accuracy and bounds.

14-16

Standard Form, Astronomical distances / cell biology. 

14-16

Lens formula, focal points / telephoto lens &enlargements.  Interesting area, with links to formulae, angles and transformations.

14-16

Crystal formation, 3D coordinates, angles between bonds, 3D Geometry. 

14-16

Kinematic Equations, rearranging formulae / real-life formulae

14-16

Samples (Health Studies 21st Century)

Sampling (Unit 1 GCSE) [NB Sci just random, Ma includes stratified]

14-16

Electrical Circuits (P5 21st Century)

Transposition of formulae, straight line graphs (Unit 2 GCSE)

14-16

Correlation and cause (IAS2 21st Century)

Lines of best fit, correlation, types of graph (Unit 1 GCSE)

14-16

Energy and the Environment (all levels Chem)

Scale drawing, percentages, graph skills, budgeting, area (all levels)


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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.

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