This task is based on a City & Guilds sample Paper 1 question, and involves modelling the level of a prescribed drug (with a half-life of between 1 and 4 hours) within a patient. It was adapted by the SouthWest and West Early Adopters, to provide a specimen problem-solving activity. Task-specific assessment grids were then designed by this group, intended for peer assessment.

Overview of task

This task is based on a City & Guilds sample Paper 1 question, and involves modelling the level of a prescribed drug (with a half-life of between 1 and 4 hours) within a patient. It was adapted by the SouthWest and West Early Adopters, to provide a specimen problem-solving activity. Task-specific assessment grids were then designed by this group, intended for peer assessment.

Prior knowledge

An appreciation of ‘half-life’. The exponential function could be introduced (not essential).

Relevance to Core Maths qualifications

- AQA
- C&G
- Eduqas
- Pearson / Edexcel
- OCR

Suggested approaches

This task could as easily lend it self to small group work as to individual work, according to students’ preferences.

Resources/documentation

In addition to this teacher guidance there are:

- Youtube (a ‘funny’ clip to use at start): House MD Clinic patient inhaler fail: http://youtu.be/Qg78NzjLcrQ
- Handout (Cormathzadine) with relevant data for students
- Specific assessment grid – can be used for peer assessment
- Examples of student work to trial peer assessment

Relevant digital technologies

Spreadsheet for modelling/graphing software/calculator

Possible extensions

The exponential function of decay could be introduced, as illustrated in the City & Guilds sample pre-release material. See the Core Maths Masters Subject Support, Strand: Graphs; Units 4 and 5 for further extensions. For a similar project, see the Nuffield FSMQ resources: http://www.nuffieldfoundation.org/fsmqs/level-3-algebra#Maximum%20and%20minimum%20problems

Acknowledgement

Developed by the SouthWest and West Early Adopter Teams.

Materials

- Algebra and Graphs_Copy of Drug research.xlsx
- Algebra and Graphs_Core Maths modelling marking grid.docx
- Algebra and Graphs_Cormathzadrine marking grid.docx
- Algebra and Graphs_Cormathzadrine.docx
- Algebra and Graphs_TeacherGuidanceCormathzadrine.docx
- Algebra and Graphs_Drug Report.docx
- Algebra and Graphs_Dosage model report - Joe T.docx
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