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CONES

The McKinley's young children like ice lollies.

Rather than buy them from the shop, they decide

that it would be cheaper and healthier to make their own from pure fruit juice.

To make the lollipops in the shape of a cone, they

get a thin sheet of card, cut out a sector and make a

hollow cone into which the fruit juice can be

 poured.

Eperiment with different cones and then produce

the one which you think is best for the task.

Maths Faculty

GCSE COURSEWORK  INVESTIGATION 

8/17/2019 Course Work Task Cones1

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Student Guide to GCSE Maths Coursework  INVESTIGATIONS 

!n"estigational coursework gi"es you the opportunity to eplore a mathematical situation,

using and applying your mathematical knowledge in an independent way.#our coursework is marked in $ %strands& according to these assessment criteria.

Strand 1: Makin ! Monitorin "ecisions to Sol#e $ro%le&sThis strand is about deciding what needs to be done then doing it. #ou will need to select an

appropriate method, obtain information and introduce your own uestions to de"elop the task

further. For higher marks, you will need to analyse alternative approaches, coordinate a

number of variables and apply independently a range of appropriate mathematical

techniques.

(hecklist Mark 

#ou ha"e shown so&e understandin of the task )

#ou ha"e atte&'ted to collect some results for the task gi"en. *

#ou ha"e collected necessary in(or&ation and checked results for the initial problem. $

#ou ha"e broken down the gi"en task to sol"e it in a syste&atic way +

#ou ha"e inde'endently e)tended the task by changing one of the original "ariables and thisleads to a fuller solution.

#ou follow a number of lines of enuiry organising your work in a clear loical 'roression and introducing a rane o( &athe&atical techni*ues+

-

#ou etend the task in a more comple way, which in"ol"es you in coordinatin at least ,

#aria%les. #ou use clear analysis and reasoning and a range of higher maths techniues.

#ou eplore inde'endently- e)tensi#ely and eleently a comple task /

Strand .: Co&&unicatin Mathe&aticallyThis strand is about communicating what you are doing using words, diagrams, tables, graphs

and symbols. #ou must choose carefully the best way to present the mathematics you use.  For the higher marks, you need to use symbolism, particularly algebra, to present a reasoned

argument in a concise and efficient way.

(hecklist Mark 

#ou eplain your work orally or in simple written form. )

#ou present results clearly using diara&s or a list. *

#ou use symbols, words and diagrams eg ta%les o( results+ $

#ou eplain and inter'ret your results0 eg 12rom my table 3graph4 ! notice56 +

#ou eplain and /usti(y your choice o( 'resentation and use symbolism eg simple algebra.

#ou use and &ani'ulate sy&%ols consistently ie algebra at an appropriate le"el. -

#ou use mathematical language 3algebra4 accurately and at a high le"el to present acon#incin- reasoned aru&ent.

#ou make concise and eleant use o( ale%ra and mathematical language. /

Strand ,: "e#elo'in Skills o( Mathe&atical ReasoninThis strand is about your solutions. #ou must search for patterns or rules and make

generalisations. #ou need to test, justify, eplain and modify your generalisations.  For the

higher marks, you will coordinate a number of variables and provide rigorous justification or

 proof demonstrating mathematical insight into a complex problem.

(hecklist Mark 

#ou use si&'le e)a&'les to show understanding of the basic task. )

#ou make a si&'le o%ser#ation of a pattern based on a few results. *

#ou make a simple eneral state&ent+ $

#ou confirm your general statement by &akin 'redictions and testin (urther e)a&'les. +#ou e)'lain 0 /usti(y why your eneral rule works by refering to the mathematical structure.

#ou e)a&ine eneralisations loically eg by linking rules into an o"erall formula -

#ou make eneralisations in#ol#in at least three #aria%les, gi"ing some justification.

#ou pro"ide riorous /usti(ication and 'roo(  in a comple problem. /