Nuffield Mathematics teaching resources are for use in secondary and further education

# FSMQ Level 3 (pilot) Applying maths scheme of work

Before starting this AQA unit students must have completed or be following courses for two of the following units:

Algebra          Data analysis          Hypothesis testing          Dynamics          Decision mathematics          Calculus         Mathematical principles for personal finance

AQA requires candidates to produce two pieces of work in an AQA Coursework Portfolio.  The portfolio requirements and information about its assessment are given on pages 38–40 of the AQA GCE Use of mathematics specification.  Note that students will only achieve high marks if they show initiative in developing their own portfolio tasks. Although some suggestions for portfolio tasks are given below, it would be better if students used their own ideas as far as possible. For more information see the AQA website.

Ideally the tasks used for portfolios should be relevant to learners' other studies or interests.  They could be done alongside work for the other units or after that work is completed.

The following resources give suggestions based on three of the AQA pilot advanced FSMQs.

Note tht the activities and assignments listed below were written for the legacy FSMQs rather than for this pilot AQA unit.  You may be able to adapt the ideas for use as portfolio tasks for Applying Mathematics, but it is essential that you make changes that will enable learners to work independently as far as possible.

 Working with algebraic and graphical techniques activities/assignments (links to the pilot Algebra unit) Coughs and sneezes   Includes data about the way in which an outbreak of the common cold spreads.  Students are asked to model the data using trigonometric and polynomial functions. (Note that teacher notes were written for 'Working with algebraic and graphical techniques' and will not be relevant for this unit.) Cup of coffee   A data sheet gives the amount of caffeine remaining in the bodies of a group of people at intervals of 1 hour after they have drunk a cup of coffee or cola.  Students are asked to model the data using exponential and linear functions. (Teacher notes were written for 'Working with algebraic and graphical techniques' and will not be relevant for this unit.) SARS A and B   SARS A gives the number of deaths from SARS in 2003.  Students choose, draw and evaluate functions to model the data.  Teacher notes show which parts of the AQA portfolio requirements are covered.  SARS B is an alternative version of the assignment contributed by Alan Heslington of Tyne Metropolitan College Sea defence wall   Two versions of an assignment in which students find functions to model the outline of a sea defence wall. The first version encourages students to work independently, the second is more structured for less able students. Smoke strata   Includes data about the height of smoke layers due to a fire in a tall building and sample examination question. Data could also be used to give practice for portfolio requirements or form the basis for an assignment. Sunrise and sunset times   Students find and evaluate trigonometric functions to model how the amount of daylight varies with the day of the year.  Includes data for Adelaide, Brisbane and London. Tides   Data set giving the water depth each hour during a day.  Students choose, draw and evaluate functions to model the data.  (Teacher notes were written for 'Working with algebraic and graphical techniques' and will not be relevant for this unit.) Water flow   Includes data about the velocity of water as it flows along an open channel and sample examination question. Data could also be used to give practice for AQA portfolio requirements or form the basis for an assignment.

 Using and applying statistics activities/assignments  (links to the pilot Data Analysis or Hypothesis Testing FSMQs) Anthropometric data   Excel Spreadsheet contains anthropometric data from a large sample of children and young adults.  (Teacher notes were written for 'Using and applying statistics' and will not be relevant for this unit.) Mammals  Data sheets giving body mass, brain mass, sleep duration, life span, gestation time and danger index for small, medium and large mammals. Assignment based on the data and suggestions for alternative uses. Optional use of spreadsheet. (Note that tacher notes were written for Using and applying statistics and will not be relevant for this unit.) Other data   The resources listed below also contain datasets that may be of use in portfolio tasks: HE Applications (starter), Climate (skills activity), Health Data (skills activity), Module Results (skills activity), Subjects (skills activity), Election Results (skills activity)

 Using and applying decision mathematics activities/assignments (links to the pilot Decision Mathematics FSMQ) Sightseeing tour   Students plan the itinerary for a sightseeing tour in their local area.  (Teacher notes were written for 'Using and applying decision mathematics' and will not be relevant for this unit.)

 Modelling with calculus activities/assignments  (links to the pilot Calculus FSMQ) Containers   Assignment in which students use differentiation to minimise surface area.  (Teacher notes were written for Modelling with calculus and will not be relevant for this unit.) Maximising and minimising (previously 'Maximum volume, minimum material')   Presentation including worked examples for use in discussion with students about maximum and minimum problems they could investigate as part of their coursework portfolios.

Page last updated on 11 October 2011