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IB Mathematics HL: Internal Assessment Exemplar - Grade 7 $6.46
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IB Mathematics HL: Internal Assessment Exemplar - Grade 7

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In 2020, I received 45 points in IB, including a 7 in HL Mathematics. This IA allowed me to achieve that grade. Understanding this essay's style, structure and presentation will help boost your IA mark considerably. The essay's title is, 'Investigating the relationship between UK national lockdo...

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  • July 29, 2022
  • 27
  • 2020/2021
  • Essay
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Maths Exploration




Investigating the relationship between UK
national lockdowns and daily COVID-19
cases, and modelling the pandemic under
different governmental proposals




Word count: [3622]

,Contents


1 Introduction & Rationale


2 Obtaining Growth and Decay Rates


3 Modelling Government Proposals


3.1 The Prime Minister’s Proposal


3.2 The Labour Party’s Proposal


4 Comparison and Evaluation of Models


5 Conclusion


6 Bibliography


7 Appendices

, 1 Introduction & Rationale

At the start of October 2020, there was pressure on the UK government to tackle

the rising number of coronavirus cases, and many proposals were discussed.

Leader of the Labour Party, Sir Keir Starmer, suggested a two-week ‘circuit-

breaker’ national lockdown, running over October half-term (beginning on

October 26th) [1]. His proposal followed that of the scientific advisory group Sage

which had put forward the same idea 3 weeks previously, to prevent a “very

large epidemic with catastrophic consequences” [2]. In contrast, the Prime

Minister decided against this, implementing some regional restrictions, before

later implementing a national lockdown from November 5th to December 2nd.



As the UK opened back up after the first national lockdown, a member of my

family contracted coronavirus and the risk of contracting the disease was made

soberingly apparent to me. Since then, I have watched the government’s policy

regarding the pandemic closely, and this inspired me to investigate the

effectiveness of different lockdown approaches.



The aim of this essay is to use the statistical analysis tool of exponential

regression to approximate the growth and decay rates of daily coronavirus cases

in and out of lockdown, to model simplifications of the Prime Minister’s and the

Labour Party’s proposals of coronavirus restrictions from mid-October until early

December and to compare their case numbers, respectively. Finally, building on

this, I will touch on the significance of when a lockdown is introduced, and how

this can impact the total number of cases contracted during a period of time.


1

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