2 year route map stats route
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GCSE Mathematics Linear Route Map – Foundation Tier
Topic TopicTopic
Number Algebra Geometry Measures
Topic
Statistics
Common content:
Estimation
Optional content:
Statistical
Techniques
Optional content:
Graphical
Techniques
Optional content:
Critical Path and
Risk Analysis
GCSE H Tier
revision
Common content:
maths or personal
inance
GCSE ! Tier
revision"CT skills
Common content:
analysis o data Common content:
Critical analysis
#evel $ %athematical Studies & year Route %ap
OR OR
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!"# !"$ !"% !"& !"' !"( !") !"* !"+ !"#,
!"## !"#$ !"#% !"#& !"#' !"#( !"#) !"#* !"#+ !"$,
!"$# !"$$ !"$% !"$& !"$' !"$( !"$) !"$* !"$+ !"%,
!"%# !"%$ !"%% !"%& !"%' !"%( !"%) !"%* !"%+ !"&,
!"&# !"&$ !"&% !"&& !"&'
SEPTEMBER OCTOBER NOVEMBER
NOVEMBER DECEMBER JANUARY
JANUARY FEBRUARY MARCH
APRIL MAY JUNE
JUNE JULY
-oliday -oliday
-oliday
-oliday
-oliday
-oliday
-oliday
FermiEstimation
.ntroductiontospreadsheets
Collecting and Sampling/ata
Types o0/ata
1ear #$
2erimeter3Circum0erenceand Area
E4uation o0 astraight line
1ear #%
Analyse Critically #
.nterest Rates
Collecting/ata
NumericalCalculations
Representing datadiagrammatically #
5ptional content Topic # – 6select one 0romthe right7
2ro8ect 9or": Analysis o0 /ata or2ersonal Finance
Re;ie9 and recap #
#evel $ %athematical Studies & year Route %ap
STAT.ST.CAL TEC-N.<=ES #
The Normal /istribution
2ercentages Representingdatanumerically #
Representingdatanumerically #
RE>.S.5N AN/ EN/ 5F
1EAR E?AM.ANT.5NS
Solution to 0inancial problems
Similarity and 2ythagoras
Theorem
RE>.S.5NAN/ EN/ 5F1EARE?AMS
Sur0ace area andsimilarity
RE>.S.5NAN/ EN/ 5F
1EARE?AMS
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!"# !"$ !"% !"& !"' !"( !") !"* !"+ !"#,
!"## !"#$ !"#% !"#& !"#' !"#( !"#) !"#* !"#+ !"$,
!"$# !"$$ !"$% !"$& !"$' !"$( !"$) !"$* !"$+ !"%,
!"%# !"%$ !"%% !"%& !"%' !"%( !"%) !"%* !"%+ !"&,
!"&# !"&$ !"&% !"&& !"&'
SEPTEMBER OCTOBER NOVEMBER
NOVEMBER DECEMBER JANUARY
JANUARY FEBRUARY MARCH
APRIL MAY JUNE
JUNE JULY
5ptional content Topic $ –6select one 0rom the right7
5ptional content Topic % – 6select one 0romthe right7
-oliday
-oliday
-oliday
-oliday
-oliday
-oliday
-oliday
1ear #%
RE>.S.5N RE>.S.5N
1ear #$
Ta@ation: .ncome ta@ and National.nsurance
Graphicalrepresentation
STAT.ST.CAL TEC-N.<=ES $
Correlation and regression
STAT.ST.CAL TEC-N.<=ES %
2robabilities and estimation
Re;ie9 and recap $ Representing datadiagrammatically $
Representing datanumerically #
5ption Topic$
Analyse Critically $
Graphicalrepresentation
Re;ie9 andrecap %
Repayments and credit
Analyse Critically %
Ta@ation:>alue addedta@ 6>AT7
Limits o0accuracy
Re;ie9 andrecap &
#evel $ %athematical Studies & year Route %ap
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"t is e)pected that spreadsheets and ta'les*ill 'e used throu+hout the teachin+ andlearnin+ o this %athematical Studiesspeciication,
Spreadsheet ormulae *ill include:-.A/0A&0A$1 to sum values in cells
-.&23$1 to multiply a value in a +iven cell-.S4%5A/:A/671
Anthropometric 8ata 9 uield !oundation
8"SC4SS Re+ression and Correlation 9 uield !oundation
Pay rates or men and *omen 9 uield !oundation
Stature 9 uield !oundation
Climate Prediction 9 uield !oundation
Cup o Coee 9 uield !oundation
Test Run 9 uield !oundation
O;one Holes 9 uield !oundation
Savin+s Gro*th 9 uield !oundation
Election Results &66< and &6/6
Health 8ata 9 uield !oundation
%ammals 9 uield !oundation
%odule Results 9 uield !oundation
Pulse Rates 9 uield !oundation
E)ponential +ro*th = %E" 54sername: mei9imps Pass*ord: imps7
Compound "nterest = %E" 54sername: mei9imps 4sername:
imps7
Student #oans / = %E" 54sername: mei9imps 4sername: imps7
!/,/
su'stitutin+ numerical values into
spreadsheets
.ntroduction to Spreadsheets 6Slide # o0 $7
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"t is e)pected that spreadsheets and ta'les *ill 'e used throu+houtthe teachin+ and learnin+ o this %athematical Studiesspeciication,
Spreadsheet ormulae *ill include:
-.A/0A&0A$1 to sum values in cells-.&23$1 to multiply a value in a +iven cell-.S4%5A/:A/671
Student #oans & = %E"
54sername: mei9imps
4sername: imps7
Sport at School 9 TES
Guide to creatin+ comparison c
harts in E)cel = TES
"nvesti+atin+ y.m)0c
spreadsheet 9 TES
"ntro to spreadsheets = TES
%odellin+ *ith spreadheets
9 plannin+ a estival 9 TES
An introduction to spreadsheets
& 9 TES
!/,/
su'stitutin+ numerical values into spreadsheets
.ntroduction to Spreadsheets 6Slide $ o0 $7
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8/,/
appreciatin+ the dierence 'et*een qualitative and quantitative
data>
Parkin+ Permits 9 uield !oundation
?hat "s 8ata@ 9 %aths "s !un
Types o data 9 discrete vs
continuous = TES
8/,&
appreciatin+ the dierence 'et*een primary and secondary
data 5includin+ the use o secondary data that has 'een
processed e,+, +rouped7
Types o0 /ata
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8/,$
collectin+ quantitative and qualitative primary and secondarydata
Pulse Rates 9 uield !oundation
Reaction Times 9 uield !oundatio
n
?hat "s 8ata@ 9 %aths "s !un
E/,/
The modellin+ cycle:
9 representin+ a situation mathematically makin+ assumptions
and simpliications
Parkin+ Permits 9 uield !oundati
on
Runa*ay Train 9 uield !oundatio
n
Pulse Rates 9 uield !oundation
%odellin+ *ith spreadheets
9 plannin+ a estival 9 TES
E/,&
- selectin+ and usin+ appropriate mathematical techniques or
pro'lems and situations
E
/,$
- interpretin+ results in the conte)t o the +iven pro'lem
E/,B
- evaluatin+ methods and situations includin+ ho* they may
have 'een aected 'y assumptions made
Collecting /ata
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usin+ conventional notation or priority o operations includin+
'rackets po*ers roots and reciprocals
3O8%AS = %aths"s!un
3"8%AS = Transum
Order o Operation = C"%T
3O8%AS otes PPT 9 %r 3arto
n %aths
Order o Operation i+sa* 9 %aths ?ith Graham
!/,/
su'stitutin+ numerical values into ormulae Climate Prediction 9 uield !oundation
!inancial Calculations 9 uiel
d !oundation
Tarsia Su'stitution 9 TES
Numerical calculations
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!&,/
interpretin+ percenta+es and percenta+e
chan+es as a raction or a decimal and
interpretin+ these multiplicatively
e)pressin+ one quantity as a percenta+e
o another
Percenta+es 9 uield !oundation
Gas Gu;;lers 9 uield !oundation
?ater !lo* 9 uield !oundation
!inancial Calculations 9 uield !oundation
"ncome Ta) 9 uield !oundation
Gro*th and 8ecay 9 uield !oundations
Percenta+es 9 %E" "nte+ral 54sername: mei9iqm Pass*ord:
Guest/D%7
Student #oans / = %E" 54sername: mei9imps 4sername: imps7
Student #oans & = %E" 54sername: mei9imps 4sername: imps7
%y %oney ?eek &6/B 9 "nlation 9 Pe+
%y %oney ?eek &6/B 9 "nlation 9 Pe+
Percenta+es 9 %athscentre
!&,$
comparin+ t*o quantities usin+
percenta+es
!&,B
*orkin+ *ith percenta+es over /66
2ercentages 6Slide # o0 $7
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!&,<
solvin+ pro'lems involvin+
percenta+e chan+e 9 includin+ percenta+eincreaseFdecrease and ori+inal value pro'lems
9 includin+ simple and compound
interest
Percenta+es 9 uield !oundation
"ncome Ta) 9 uield !oundation 5rules may need updatin+7
ational "nsurance 9 uield !oundation 5rules may need updatin+7
Savin+s Gro*th 9 uield !oundation
Savin+s !acts and !ormulae 9 uield !oundation
Gro*th and 8ecay 9 uield !oundations
Percenta+es 9 %E" "nte+ral 54sername: mei9iqm Pass*ord: Guest/D%7
Compound "nterest = %E" 54sername: mei9imps 4sername: imps7
Student #oans / = %E" 54sername: mei9imps 4sername: imps7
Student #oans & = %E" 54sername: mei9imps 4sername: imps7
Percenta+es 9 %athscentre E/,&
selectin+ and usin+ appropriatemathematical techniques orpro'lems and situations
2ercentages 6Slide $ o0 $7
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!ermi estimation 9 makin+ ast
rou+h estimates usin+ quantities
*hich are either diicult or
impossi'le to measure directly
Ho* should mathematics 'e tau+ht to non9mathematicians@ 9 Tim Go*ers 3lo+
Classic !ermi Duestions = %athsorum
!ermi %aths Pro'lems = ids(i+
Estimation 9 %aths"s!un
Ho* many piano tuners are there in Chica+o@ = TES
!ermi Pro'lems 9 TES
!/,/
su'stitutin+ numerical values
into inancial e)pressions
5includin+ 'ank accounts7
"ncome Ta) 9 uield !oundation 5rules may need updatin+7
Savin+s Gro*th 9 uield !oundation
Savin+s !acts and !ormulae 9 uield !oundation
Gro*th and 8ecay 9 uield !oundations
!
/,B
indin+ appro)imate solutions to
pro'lems in inancial conte)ts
Fermi Estimation
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8$,/
calculatin+Fidentiyin+ mean median mode rom ra* data HE Applications 9 uield !oundation
Stature 9 uield !oundation
%ammals 9 uield !oundation
%odule Results 9 uield !ound
ation
Pulse Rates 9 uield !oundati
on
Avera+es and Spread 9 Standard
8eviation 9
Teach"t %aths 5P8! !ile is ree
access7
8ata Summaries 9 Statstutor
8
$,/
calculatin+Fidentiyin+ quartiles percentiles ran+e interquartile
ran+e standard deviation rom ra* data
8$,&
interpretin+ these numerical measures and reachin+
conclusions 'ased on these measures
Representing /ata Numerically #
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8B,/
constructing and interpreting diagrams for
grouped discrete data and continuous data and
know their appropriate use
- box and whisker plots - stem-and-leaf diagrams (including back-to-
back)
HE Applications 9 uield !oundation
%ammals 9 uield !oundation
%odule Results 9 uield !oundation
Pulse Rates 9 uield !oundation
3o) and ?hisker Plots 9 Statstutor
Stem and #ea 8ia+rams 9 %aths is !un
Representing /ata /iagrammatically #
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!$,/
simple and compound interest
Annual Equivalent Rate (AER)
!inancial Calculations 9 uield !oundation
"ncome Ta) 9 uield !oundation 5rules may need updatin+7
ational "nsurance 9 uield !oundation 5rules may need updatin+7
Savin+s Gro*th 9 uield !oundation
Savin+s !acts and !ormulae 9 uield !oundation
Gro*th and 8ecay 9 uield !oundations
Compound "nterest = %E" 54sername: mei9imps 4sername: imps7
%y %oney ?eek &6/B 9 "nlation 9 Pe+ !$,&
savings and investments
E/,&
selecting and using appropriate
mathematical techniques for
problems and situations
.nterest Rates
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ind the +radient o a line connectin+
t*o dierent points,
Gas Gu;;lers 9 uield !oundation
Ho* !requent are Earthquakes@ 9 uield !oundation
Smoke Strata 9 uield !oundation
?ater !lo* 9 uield !oundation
Test Run 9 uield !oundation
%atch #inear !unctions and Graphs 9 uield !oundation
E)ponential +ro*th = %E" 54sername: mei9imps Pass*ord: imps7
Equation o a Strai+ht #ine 9 %athscentre
The Gradient o a Strai+ht #ine Se+ment 9 %athscentre
"nvesti+atin+ y.m)0c spreadsheet 9 TES
kno*led+e and use o the ormula ,
Su'(ect content: Online resources:
ind the +radient o a line connectin+
t*o dierent points,
Gas Gu;;lers 9 uield !oundation
Ho* !requent are Earthquakes@ 9 uield !oundation
Smoke Strata 9 uield !oundation
?ater !lo* 9 uield !oundation
Test Run 9 uield !oundation
%atch #inear !unctions and Graphs 9 uield !oundation
E)ponential +ro*th = %E" 54sername: mei9imps Pass*ord: imps7
Equation o a Strai+ht #ine 9 %athscentre
The Gradient o a Strai+ht #ine Se+ment 9 %athscentre
"nvesti+atin+ y.m)0c spreadsheet 9 TES
E4uation o0 a straight line
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8&,&
appreciatin+ the stren+ths and limitations o random
cluster stratiied and quota samplin+ methods and applyin+
this understandin+ *hen desi+nin+ samplin+ strate+ies
Parkin+ Permits 9 uield !oundation
Reaction Times 9 uield !oundation
8&,&
appreciatin+ that improvin+ accuracy 'y removin+ 'ias andincreasin+ sample si;e may costFsave 'oth time and money
Parkin+ Permits 9 uield !oundation
8&,/
inerrin+ properties o populations or distri'utions rom a
sample *hilst kno*in+ the limitations o samplin+
HE Applications 9 uield !oundation
Pulse Rates 9 uield !oundation
Reaction Times 9 uield !oundation
Collecting and Sampling /ata
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S/,/
kno*led+e that this is a symmetrical distri'ution and that the
area underneath the normal I'ellJ shaped curve represents
pro'a'ility
ormal 8istri'ution 9 %aths "s!un
The ormal 8istri'ution 9 S9Coo
l
The ormal 8istri'ution 9 C"%T
The ormal 8istri'ution 9 4niver
sity o O)ord
Stature 9 uield !oundation
ormal 8istri'ution Tarsia
= TES
Auto+raph Activity 9 ormal 8ist
ri'ution Calculator 9 TES
S
/,/
kno*led+e that appro)imately rds o o'servations lie *ithin /
standard deviation o the mean and that appro)imately o
o'servations lie *ithin & standard deviations o the mean
S&,/
use o the notation or the standardised normal distri'ution *ith
mean . 6 and standard deviation . /
Su'(ect content: Online resources:
S/,/
kno*led+e that this is a symmetrical distri'ution and that the
area underneath the normal I'ellJ shaped curve represents
pro'a'ility
ormal 8istri'ution 9 %aths "s!un
The ormal 8istri'ution 9 S9Coo
l
The ormal 8istri'ution 9 C"%T
The ormal 8istri'ution 9 4niver
sity o O)ord
Stature 9 uield !oundation
ormal 8istri'ution Tarsia
= TES
Auto+raph Activity 9 ormal 8istr
i'ution Calculator 9
TES
S
/,/
S&,/
The Normal /istribution 6Slide # o0 $7
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S$,/
using a calculator or tables to nd probabilities fornormall distributed data with mean ! " and standard
deviation ! #
ormal 8istri'ution 9 %aths "s!un
The ormal 8istri'ution 9 S9Coo
l
The ormal 8istri'ution 9 C"%T
The ormal 8istri'ution 9 4niver
sity o O)ord
Stature 9 uield !oundation
S$,/
using a calculator or tables to nd probabilities for
normall distributed data with known mean and standard
deviation
(the nding of an unknown mean or standard deviation
b making use of percentage points will not be required)
C/,/
presenting logical and reasoned arguments in context
criticising the arguments of others
C&,/
communicating mathematical approaches and
solutions
The Normal /istribution 6Slide $ o0 $7
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R/,/
representin+ compound pro(ects 'y activity net*orks Reur'ishin+ a Room 9 uield !oundation
Critical Path Analysis = C"%T
Critical Path Analysis 9 #earn A'out OR
Critical path analysis = TES
Earliest and #atest Event Times = TES
Gantt charts and resource histro+rams
= TES
Thinkin+ Skills Activities #esson 8ecis
ion %aths 9 TES
R/,&
activity9on9node representation *ill 'e used
R&,/
usin+ early time and late time al+orithms to identiy critical
activities and ind the critical path5s7
R$,/
usin+ Gantt charts 5cascade dia+rams7 to present pro(ect
activities
C/,/
presentin+ lo+ical and reasoned ar+uments in conte)t
criticisin+ the ar+uments o others
C&
communicatin+ mathematical approaches and solutions
Critical 2ath Analysis
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G/,/
sketchin+ and plottin+ curves deined 'y
simple equations 5a kno*led+e o the shapes o
the +raphs o linear quadratic cu'ic and
e)ponential unctions *ill 'e e)pected7
%inimum and %a)imum Pro'lems 9 uield !oundation
Gas Gu;;lers 9 uield !oundation
Cou+hs and Snee;es 9 uield !oundation
Cup o Coee 9 uield !oundation
Climate Prediction 9 uield !oundation
Ho* !requent are Earthquakes@ 9 uield !oundation
Ho* !requent are Earthquakes@ 9 uield !oundation
Smoke Strata 9 uield !oundation
?ater !lo* 9 uield !oundation
Test Run 9 uield !oundation
O;one Holes 9 uield !oundation
Runa*ay Train 9 uield !oundation
G&,/
plottin+ and interpretin+ +raphs in real
conte)ts to ind appro)imate solutions to
pro'lems
Graphical Methods 6Slide # o0 $7
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G&,&
interpretin+ the solutions o equations as the
intersection points o +raphs and vice versa
#iner quadratic cu'ic +raph match = TES
Solvin+ linear equations +raphically = TES
Duadratic sketch treasure hunt = TES
Solvin+ equations +raphically lesson = TES 5i+nore
irst three slides o the po*erpoint7
C/
presentin+ lo+ical and reasoned ar+uments in
conte)t
%inimum and %a)imum Pro'lems 9 uield !oundation
Gas Gu;;lers 9 uield !oundation
Cou+hs and Snee;es 9 uield !oundation
Climate Prediction 9 uield !oundation
Smoke Strata 9 uield !oundation
Test Run 9 uield !oundation
O;one Holes 9 uield !oundation
Runa*ay Train 9 uield !oundation
C/,/
criticisin+ the ar+uments o others
C&
communicatin+ mathematical approaches and
solutions
Graphical Methods 6Slide $ o0 $7
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Re;ie9 and recap #
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!K,/
the eect o inlation
Retail Price "nde) 5RP"7 Consumer Price
"nde) 5CP"7
!inancial Graphs and Charts 9 uield !oundation
"nlation "ndices 9 uield !oundation
%y %oney ?eek &6/B 9 "nlation 9 Pe+
!
K,&
settin+ up solvin+ and interpretin+ the
solutions to inancial pro'lems includin+
those that involve compound interest usin+
iterative methods
!inancial Calculations 9 uield !oundation
Savin+s Gro*th 9 uield !oundation Savin+s !acts and !ormulae 9 uield !oundation
!K,$
currency e)chan+e rates includin+
commission
Chan+in+ to a !orei+n Currency 9 33C 3itesi;e
Currency Conversion 9 %aths is !un
Currency e)chan+e %athsopoly = TESCurrency Conversion E)chan+e 9 ?orld Travellin+ 9 TES
Solution to 0inancial problems 6Slide # o0 $7
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!K,B
'ud+etin+ "ncome Ta) 9 uield !oundation
5rules may need updatin+7
ational "nsurance 9 uield !
oundation
5rules may need updatin+7
Savin+s Gro*th 9 uield !oun
dation
Savin+s !acts and !ormulae 9
uield !oundation
Student #oans / = %E"
54sername: mei9imps
4sername: imps7
E/,
&
selectin+ and usin+ appropriate mathematical techniques or
pro'lems and situations
Solution to 0inancial problems 6Slide $ o0 $7
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no*led+e and use o the perimeter o &8 shapes and their
areas
Area and Perimeter match up 9 TES
Compound Rectan+les 9 TES
%aths !unctional Skills: A e*
!loor 9 TES
kno*led+e and use o the ormulae or the circumerence and
the area o circle
Circumerence o a circle *ork
sheet 9 TES Area and Perimeter o sectors
*orksheet 9 TES
Arcs and sectors *orksheet 9
TES
%aths Lalentines Card 9 Area
and Perimeter = TES
Perimeter o circles and semici
rcles 9 TES
no*led+e and use o the ormulae or calculatin+ ractional
areas o circles and composite shapes
2erimeter3 Circum0erence and Area
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the application o the concepts o similarity
includin+ len+ths in similar i+ures
Pytha+orasJ theorem applied to &98 and $98
i+ures,
Similar Shapes ?orksheet = TES
GCSE Similar Trian+les Geometry Activity 9 TES
GCSE "ntroducin+ Pytha+oras Theorem lesson = TES
Pytha+oras Theorem in $8 = TES
Pytha+oras Theorem #esson = TES = incudes an
al+e'raic proo o the theorem
Pytha+oras Theorem and coordinates = TES
SB *orksheet 9 usin+ Pytha+oras in $8 9 TES
Pytha+oras *orded question *orksheet 9 TES
Pytha+orasJ theorem applied to $98 i+ures,
Similarity and 2ythagoras Theorem
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C
$,&
critical analysis o data quoted in media political campai+ns marketin+ etc
9 questions *ill concentrate on the analysis o numericaland +raphical data
9 numerical data *ill normally 'e +iven in ta'ular or spreadsheet orm
E/,/
The modellin+ cycle:
9 representin+ a situation mathematically makin+ assumptions and simpliications
Parkin+ Permits 9 uiel
d !oundation
Runa*ay Train 9 uie
ld !oundation
Pulse Rates 9 uield
!oundation
Sport at School 9 TES
E/,&
- selectin+ and usin+ appropriate mathematical techniques or pro'lems and
situations
E/,$
- interpretin+ results in the conte)t o the +iven pro'lem
E/,B
- evaluatin+ methods and situations includin+ ho* they may have 'een aected
'y assumptions made
Analyse Critically #
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calculate surface areas of spheres$ cones$ pramids
and composite solids$ including the application of the
concepts of similarit including lengths in similar
gures
Area and Lolume o similar shapes F solids = TES
Ratio o len+ths areas volumes
o similar
shpes = TES
Activity or $8 shapes 9 TES
Surace area and volume o pr
isms = TES
Surace area and volume o 'ui
ldin+s 9 TES
Lolume and surace area o a sphere
Surace Area ?orksheets 9 TE
S
Sur0ace area and similarity
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Analysis o 8ata %ammals 9 uield !oundation
Reaction Times 9 uield !ound
ation
Sport at School 9 TES
Personal !inance %athematical Applications o !inance 9 uield !oundation
C/,/
presentin+ lo+ical and reasoned ar+uments in conte)t
criticisin+ the ar+uments o others
%athematical Applications o !inance 9 uield !oundation
%ammals 9 uield !oundation
C&,/
communicatin+ mathematical approaches and solutions
Summarisin+ and report *ritin+
2ro8ect 9or": Analysis o0 data or 2ersonal Finance
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Re;ie9 and recap $
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8B,/
constructing and interpreting diagrams for
grouped discrete data and continuous data
and know their appropriate use
- histograms with equal and unequal
class intervals
- cumulative frequenc graphs
Pay rates or men and *omen 9 uield !oundation
Stature 9 uield !oundation
%ammals 9 uield !oundation
%odule Results 9 uield !oundation
Pareto Charts 9 uield !oundation
Pulse Rates 9 uield !oundation
Cumulative Ta'les and Graphs 9 %aths is !un
8ra*in+ Histo+rams 9 TES
GCSE Histo+rams ?orksheet = TES
Cumulative requency Collective %emory = TES
Plottin+ cumulative requency curves video tutorial = TES
Elephants Cumulative requency 9 TES
Representing /ata /iagrammatically $
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8$,/
calculatin+Fidentiyin+ mean median mode rom cumulative
requency dia+rams stem and lea dia+rams or 'o)plots
Stature 9 uield !oundation
%ammals 9 uield !oundation
%odule Results 9 uield !ound
ation
Pareto Charts 9 uield !ounda
tion
Cumulative Ta'les and Graphs
9 %aths is !un
Standard 8eviation ?orksheet
= TES
Cumulative requency and 'o)p
lots lessons = TES
%edian quartiles and 'o)plots
*orksheet 9 TES
!ind ht
quartiles and interquartile ran+e
9 TES
8$
,/
calculatin+Fidentiyin+ quartiles percentiles ran+e interquartile
ran+e standard deviation rom cumulative requency dia+rams
stem and lea dia+rams or 'o)plots
8$,&
interpretin+ these numerical measures and reachin+
conclusions 'ased on these measures
E/,&
selectin+ and usin+ appropriate mathematical techniques or
pro'lems and situations
Representing /ata Numerically $
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SK,/
reco+nisin+ *hen pairs o data are uncorrelated correlated stron+ly
correlated positively correlated and ne+atively correlated
8"SC4SS Re+ression and Correlation 9 uield !oundation
Anthropometric 8ata 9 uield
!oundation
%ammals 9 uield !oundation
PearsonJs Correlation Coeicient
9
Statstutor
Scatter 8ia+rams 9 %aths "s !u
n
"nteractive correlation activity 9
TES
Statistics / Correlation = TES
Ten point P%CC 9 TES
SK,&
appreciatin+ that correlation does not necessarily imply causation
understandin+ the idea o an outlier
SM,/
understandin+ that the stren+th o correlation is +iven 'y the pmcc
SM,&
understandin+ that pmcc al*ays has a value in the ran+e rom = / to
0 /
SM,$
appreciatin+ the si+niicance o a positive ;ero or ne+ative value o
pmcc in terms o correlation o data
Correlation and regression 6Slide # o0 %7
Continued onnextpage
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S
N,/
the plottin+ o data pairs on scatter dia+rams and the dra*in+ 'y eye o
a line o 'est it throu+h the mean point 5the idea o residuals *ill not 'e
required7
8"SC4SS Re+ression and Correlation 9 uield !oundation
Anthropometric 8ata 9 uield
!oundation
%ammals 9 uield !oundation
Correlation and Re+ression 9 T
ES
SN,&
understandin+ the concept o a re+ression line
SN,$
plottin+ a re+ression line rom its equation
SN,B
usin+ interpolation *ith re+ression lines to make predictions
S
N,<
understandin+ that there are pro'lems concernin+ e)trapolation
S/6,/
*here ra* data is +iven candidates *ill 'e e)pected to use a calculator
to calculate the pmcc and the equation o the re+ression line 5calculations
rom +rouped data *ill not 'e required7
8"SC4SS Re+ression and Correlation 9 uield !oundation
Anthropometric 8ata 9 uield
!oundation
PearsonJs Correlation Coeicient
Correlation and regression 6Slide $ o0 %7
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previouspage
Continued onnextpage
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C/,/
presentin+ lo+ical and reasoned ar+uments in conte)t
criticisin+ the ar+uments o others
communicatin+ mathematical approaches and solutions
8"SC4SS Re+ression and Correlation 9 uield !oundation
Anthropometric 8ata 9 uield
!oundation
%ammals 9 uield !oundation
Correlation and regression 6Slide % o0 %7
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RB,/
understandin+ that uncertain outcomes can 'e modelled as randomevents *ith estimated pro'a'ilities
kno*in+ that the pro'a'ilities o an e)haustive set o outcomes sum
to one
Pro'a'ility 9 uield !oundation
#a*s o Pro'a'ility 9 uield
!oundation
Crack the code 9 < lock pro'le
ms 9 TES
RB,&
applyin+ ideas o randomness airness and equally likely events to
calculate e)pected outcomes
R<,/
understandin+ and applyin+ Lenn dia+rams and simple tree dia+rams Pro'a'ility 9 uield !oundation
#a*s o Pro'a'ility 9 uield
!oundation
Three 8ice 9 uield !oundati
on
3asic introduction to pro'a'ili
ty tree dia+rams = TES
Lenn dia+ram lesson 9 TES
R,/
calculatin+ the pro'a'ility o com'ined events:'oth A and B> neither A nor B> either A or B 5or 'oth7to include independent and dependent events
E@pectation 6Slide # o0 $7
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RK,/
calculatin+ the e)pected value o quantities such as inancial
loss or +ain
C/
presentin+ lo+ical and reasoned ar+uments in conte)t
criticisin+ the ar+uments o others
communicatin+ mathematical approaches and solutions
E@pectation 6Slide $ o0 $7
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A l C i i ll $
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C$,&
critical analysis o data quoted in media political campai+ns marketin+ etc 9 questions *ill concentrate on the analysis o numerical
and +raphical data 9 numerical data *ill normally 'e +iven in ta'ular or spreadsheet orm
E/,/
The modellin+ cycle:
9 representin+ a situation mathematically makin+ assumptions and
simpliications
Parkin+ Permits 9 uield !oun
dation
Runa*ay Train 9 uield !ou
ndation
Pulse Rates 9 uield !ound
ation
Sport at School 9 TES
E/,&
- selectin+ and usin+ appropriate mathematical techniques or pro'lems and
situations
E/,
$
- interpretin+ results in the conte)t o the +iven pro'lem
E/,B
- evaluatin+ methods and situations includin+ ho* they may have 'een
aected 'y assumptions made
Analyse Critically $
R i d %
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Su'(ect content: Online resources:
Re;ie9 and recap %
R t d dit
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!B,/
student loans and mortgages
Annual &ercentage Rate (A&R)
Credit Cards 9 uield !oundation
APR 9 uield !oundation
!inancial Calculations 9 uield !oundation
"nlation "ndices 9 uield !oundation
Compound "nterest = %E" 54sername: mei9imps
4sername: imps7
Student #oans / = %E" 54sername: mei9imps
4sername: imps7Student #oans & = %E" 54sername: mei9imps
4sername: imps7
E#'
selecting and using appropriate mathematical
techniques for problems and situations
Repayments and credit
T ti > l Add d T 6>AT7
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!,/
axation* +alue Added ax (+A) Government Spendin+ and LAT 9 TES
E/,&
selecting and using appropriate mathematical
techniques for problems and situations
Ta@ation: >alue Added Ta@ 6>AT7
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Re;ie9 and recap &
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Re;ie9 and recap &
2robabilities and estimation 6Slide # o0 $7
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Su'(ect content:Onlineresources:
SB,/
understand *hat is meant 'y the term IpopulationJ in statisticalterms
S
B,&
developin+ ideas o samplin+ to include the concept o a simple
random sample rom a population
S
<,/
kno*in+ that the mean o a sample is called a Ipoint estimateJ or
the mean o the population appreciatin+ that accuracy is likely to 'e
improved 'y increasin+ the sample si;e
2robabilities and estimation 6Slide # o0 $7
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Cost bene0it analysis 6Slide # o0 $7
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RM,/
understandin+ that many decisions have to 'e made *hen
outcomes cannot 'e predicted *ith certainty
RN,
/
Control measures: understandin+ that the actions that can 'e taken
to reduce or prevent speciic risks may have their o*n costs 5to
include the costs and 'eneits o insurance7
R/6,
/
usin+ pro'a'ilities to calculate e)pected values o costs and 'eneits
o decisions other actors must 'e considered or e)ample
9 the re+ulatory rame*ork 5e+ compulsory insurance7 9 minimisin+ the ma)imum possi'le loss
Cost bene0it analysis 6Slide # o0 $7
Viewnextpage
Cost bene0it analysis 6Slide $ o0 $7
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R/6,&
understanding that calculating an expected value is
an important part of such decision making
C/ presenting logical and reasoned arguments in
context
criticising the arguments of others
communicating mathematical approaches and
solutions
Cost bene0it analysis 6Slide $ o0 $7
E@ponential Functions 6Slide # o0 $7
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G,/
usin+ a calculator to ind values o the unction 5the la*s o
lo+arithms *ill not 'e required7
Climate Prediction 9 uield !oundation
Gas Gu;;lers 9 uield !oundation
Cup o Coee 9 uield !oundation
Ho* !requent are Earthquakes@ 9 uield
!oundation
Smoke Strata 9 uield !oundation
Gro*th and 8ecay 9 uield !oundations
%atchin+ Graph Sketches 9 Teach"t %aths
5"ncludes some e)tension +raphs 'eyond the
speciication: P8! !ile has ree access7
E)ponential +ro*th = %E" 54sername: mei9
imps Pass*ord: imps7
G,
&
usin+ a calculator lo+ unction to solve equations o the
orm and
GK,/
understandin+ that has 'een chosen as the standard 'ase
or e)ponential unctions
kno*in+ that the +radient at any point on the +raph o is
equal to the value o that point
Su'(ect content: Online resources:
G,/
Climate Prediction 9 uield !oundation
Gas Gu;;lers 9 uield !oundation
Cup o Coee 9 uield !oundation
Ho* !requent are Earthquakes@ 9 uield
!oundation
Smoke Strata 9 uield !oundation
Gro*th and 8ecay 9 uield !oundations
%atchin+ Graph Sketches 9 Teach"t %aths
5"ncludes some e)tension +raphs 'eyond the
speciication: P8! !ile has ree access7
E)ponential +ro*th = %E" 54sername: mei9
imps Pass*ord: imps7
G,
&
GK,/
E@ponential Functions 6Slide # o0 $7
Viewnextpage
E@ponential Functions 6Slide $ o0 $7
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GM,&
usin+ e)ponential unctions to model +ro*th and decay in
various conte)ts
Climate Prediction 9 uield !oundation
Gas Gu;;lers 9 uield !oundation
Cup o Coee 9 uield !oundation
Ho* !requent are Earthquakes@ 9 uie
ld !oundation
Smoke Strata 9 uield !oundation
Gro*th and 8ecay 9 uield !oundation
s
E)ponential +ro*th = %E" 54sername:
mei9imps Pass*ord: imps7
GM,/
ormulatin+ and usin+ equations o the orm and
C/
presentin+ lo+ical and reasoned ar+uments in conte)t
criticisin+ the ar+uments o others
communicatin+ mathematical approaches and solutions
Su'(ect content: Online resources:
GM,&
usin+ e)ponential unctions to model +ro*th and decay in
various conte)ts
Climate Prediction 9 uield !oundation
Gas Gu;;lers 9 uield !oundation
Cup o Coee 9 uield !oundation
Ho* !requent are Earthquakes@ 9 uie
ld !oundation
Smoke Strata 9 uield !oundation
Gro*th and 8ecay 9 uield !oundation
s
E)ponential +ro*th = %E" 54sername:
mei9imps Pass*ord: imps7
G
M,/
C/
presentin+ lo+ical and reasoned ar+uments in conte)t
criticisin+ the ar+uments o others
communicatin+ mathematical approaches and solutions
E@ponential Functions 6Slide $ o0 $7
Ta@ation: .ncome Ta@ and National .nsurance
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!,/
axation* income tax$ .ational /nsurance$ "ncome Ta) 9 uield !oundation
5rules may need updatin+7
ational "nsurance 9 uield !
oundation
5rules may need updatin+7
E/,&
selecting and using appropriate mathematical
techniques for problems and situations
Ta@ation: .ncome Ta@ and National .nsurance
Analyse Critically %
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C$,&
critical analysis o data quoted in media political campai+ns marketin+ etc 9 questions *ill concentrate on the analysis o numerical
and +raphical data 9 numerical data *ill normally 'e +iven in ta'ular or spreadsheet orm
E/,/
The modellin+ cycle:
9 representin+ a situation mathematically makin+ assumptions and simpliications
Parkin+ Permits 9 uield
!oundation
Runa*ay Train 9 uield
!oundation
Pulse Rates 9 uield !o
undation
Sport at School 9 TES
E/,&
9 selectin+ and usin+ appropriate mathematical techniques orpro'lems and situations
E/,$
9 interpretin+ results in the conte)t o the +iven pro'lem
E/,B
- evaluatin+ methods and situations includin+ ho* they may have 'een aected
'y assumptions made
Analyse Critically %