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National Curriculum: Number - KS3 - Articles


Created on 15 October 2013 by ncetm_administrator
Updated on 04 June 2014 by ncetm_administrator

Articles

“Measures are numbers that are connected to a quantity, the connection being a ratio comparison (and not simply a count of a number of ‘things’). Even though measurement is intimately tied to diverse mathematical concepts from number through to geometry, algebra and statistics, it can be neglected in teaching. This can store up problems for students as they move on to more advanced mathematical topics, including graphs of functions, loci and vectors.”

Based on information and guides provided by the Department of Transport, introduces the cost benefits of improving the aerodynamics of the cab section of a truck. Mathematical connections involve using calculators and spreadsheets to work on conversions and percentages in the context of a complex multi-step problem. Considerable mathematical thinking is involved in breaking down the problem into simpler steps, keeping track of the constituent parts and analysing the final results.

This resource was written to provide a mathematics team with structured professional development. Objectives related to this topic are:

  • add and subtract simple fractions and those with common denominators; multiply a fraction by an integer
  • add and subtract fractions by writing them with a common denominator; multiply and divide an integer by a fraction
  • use efficient methods to add, subtract, multiply and divide fractions, interpreting division as a multiplicative inverse; cancel common factors before multiplying or dividing
  • understand and apply efficient methods to add, subtract, multiply and divide fractions, interpreting division as a multiplicative inverse
 

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