Numeracy Policy

Numeracy across the Curriculum AuditNumeracy in other subject areas

St Francis Xavier’s College

Numeracy PolicyNumeracy Audit

Curriculum Area: ARTSubject Area: ART

Number/Algebra Shape, Space & Measures Handling DataThirds – golden rule of compositioneg. in photography

2-dimensional shapes

Ratioseg. Colour maths – mixing colours in given proportions

3-dimensional shapes and their 2D representationeg. use of tetrahedrons to make 3D sculptures

Scale and scale drawings using perspective

Enlargementeg. From a preliminary sketch to a full picture

Symmetry – rotation (fractions of turns) and reflection in patternseg. Indian art, Islamic art, ethnic arteg. use of Photoshop to produce patterns

Tessellationseg. repeat patternseg. Eschereg. print makingeg. tetrahedrons

Geometrical termseg. horizontal, vertical, height, width, parallel

Proportionseg. between features on a face or different objects in a picture

Optical illusion pictures – 2D representation of 3D

Examinations: GCSE Art and DesignA-Level Fine Art

Numeracy Policy Numeracy Audit

Curriculum Area: COMPUTINGSubject Area: COMPUTING

Number/Algebra Shape, Space & Measures Handling DataUsing formulaeeg. in spreadsheets using formulae and functions, inserting numeric data and calculatingeg. using formulae in spreadsheets to alter the variables in models to assess the impactCalculation of image size (area).

Timeeg. timings between movie frameseg. using timelines, transitions and timing of slides in slides.eg. timing of audio or video and effects on websiteseg. timing recording in podcasts and timing of music overlay etc.

Graphs from spreadsheetseg. bar chart, pie chart, line graph including x/y axis charts. Large files that have been downloaded.

Binary codeeg. conversion to decimal and converting decimal to binaryeg. calculating in binaryeg. Two’s complementeg. sign and magnitudeeg. Boolean algebra involving logic gates, AND, OR, NOT

Coordinates, Distance, Angles and Properties of shapes in Logoeg. programs/procedureseg. sequence of instructionseg. use of repeat functioneg. drawing shapes

Database construction and data entryeg. database on personal dataeg. sort and filter numeric dataeg. select appropriate data types – number, currency, date, time etc. Validation methodsSQL

Hexadecimal numbers - base 16Octal numbers - base 8

Dimensions and measurementseg. creating vector graphics

Interpretation of data represented in graphs

Percentage calculationsEg. using data from surveys

Calculating area and volume of shapes using programming and drawing plans to scale

Data handling – correlation, patterns

Data typeseg. numbers, currency, dates, times and Boolean data

Importing data

Ranking in ordereg. using sort functions and filtering data in spreadsheets and databases

Estimatingeg. file size, search results, graphs, file compression.

Relative sizes of numberseg. bits, bytes, kilobytes, megabytes, gigabytes and their relation to each other calculating sizes when considering storage.

Algorithmseg. calculations, iterations using loops

Flowcharts and their symbols

Programmingeg, Scratch, Kudu, Python, App Inventor HTML, Java Script.

Examinations: GCSE ComputingA-Level Information TechnologyBTEC & ECDL

Numeracy PolicyNumeracy Audit

Curriculum Area: DESIGN & TECHNOLOGYSubject Area: DESIGN & TECHNOLOGY

Number/Algebra Shape, Space & Measures Handling DataBasic arithmetic skills +, -, and ÷ Interpret scales on a range of

measuring instruments and measure accurately, recognising the inaccuracy of measurements

Ergonomic / Anthropometric data

Costing and Budgetingeg. minimising wastage

Make sensible estimates of a range of measures (mm, m, km)

Graphs / interpretation of data

Calculation of required material Convert measurementseg. m to mm

Flow charts

Percentages as part per 100 Measure and draw lines and angles to within given tolerances eg. % tolerance ±1mm tolerance

Statistical diagramseg. bar chart, pie chart, line graph, radar chart

Calculate percentages of amounts

Recognition of right angle (use of term ‘square’)

Procedure charts for time management of taskseg. use of Gantt diagrams

Understand fractions as parts of whole

Geometric terms of lineseg. parallel, horizontal, vertical, diagonal, perpendicular

Batch produceeg. quality control, costing, buying in bulk, VAT, minimisation of waste

Geometric terms of circleeg. diameter, radius, circumference, arc

Simple geometryEg. symmetry, basic angle facts

Area and Volumeeg. rectangles, cuboids and cylinders

Names of shapes and solids

Developments (nets) of solidseg. cube, square prism, cylinder, cone

Isometric and orthographic drawingeg. on triangular grid isometric paper

Construct, use and interpret scale drawingsEnlargement / Reduced Drawing

Mechanisms / LinkagesEg. paper engineering

Examinations: GCSE Product Design

Hours

Task Duration PredecessorsA 3B 4C 6D 5 AE 1 BF 6 BG 7 C, D, E

Numeracy PolicyNumeracy AuditCurriculum Area: DESIGN & TECHNOLOGYSubject Area: RESISTANT MATERIALS

Number/Algebra Shape, Space & Measures Handling DataBasic arithmetic skills +, -, and ÷

Interpret scales on a range of measuring instruments and measure accurately

Costing Recognise the inaccuracy of measurements

Calculation of required material Convert measurements from one unit to anothere.g. m to mm

Percentages as part per 100 Make sensible estimates of a range of measures (mm, m, km)

Calculate percentages of amounts

Measure and draw lines and angles to within given tolerances eg. % tolerance ±1mm tolerance

Understand fractions as parts of whole

Recognition of right angle (use of term ‘square’)

Geometric terms: parallel, horizontal, vertical, diagonal, perpendicular

Geometric terms of circleeg.diameter, radius, circumference, arc

Names of shapes and solids

Area of rectangles

Volume of cuboids and cylinders

Isometric drawing – triangular grid isometric paper

Use and interpret scale drawings

Time management of tasks

Examinations: GCSE Resistant Materials

Numeracy PolicyNumeracy Audit

Curriculum Area: DESIGN & TECHNOLOGYSubject Area: GRAPHIC PRODUCTS

Number/Algebra Shape, Space & Measures Handling Data

Ratio and proportion Measure and draw lines and angles to within given tolerances eg. % tolerance ±1mm tolerance)

Ergonomic / Anthropometric data

Costing / quantity Development (net) of simple geometric shapese.g. cube, square prism

Graphs / interpretation of data

Understand fractions as parts of whole

Development (net) of curved surfacese.g. cylinder, cone

Flow charts / procedure charts

Calculate percentages of amounts

Symmetry

Simple geometry – basic angle facts

Shapes – accurate drawing of all plan shapes including circles

Designing Nets – called Developments in DT

Packaging / weights, quantities

Scale drawing

Mechanisms / linkages – paper engineering

Enlargement / Reduced drawing

Isometric / orthographic drawing

Scale

Grids to aid drawing (square and isometric)

Time management of tasks

Examinations: GCSE Graphic Products

Numeracy PolicyNumeracy Audit

Curriculum Area: DRAMASubject Area: DRAMA

Number/Algebra Shape, Space & Measures Handling Data

Basic percentages as part per 100

Spatial awarenesseg. position on stage in relation to other performers and the audienceeg. awareness of height in order to create contrast

Research and statistical data collected relevant to the play

Percentages to compare proportions eg. comparing percentage of time for each character in a scene

Examinations: GCSE Drama A-Level Drama

Numeracy PolicyNumeracy Audit

Curriculum Area: ENGLISHSubject Area: ENGLISH

Number/Algebra Shape, Space & Measures Handling Data

Numbers as words – numbers under 100eg. In my family we have five pets

Estimation of time linked to marks in examinationseg. 1 mark = 1 ½ mins at GCSE

Surveys are analysed in persuasive writing at KS3eg. Stone Cold survey in Y9

Percentages used to illustrate oral presentations and in persuasive writingeg. use of facts and figures – did you know that 28% of 14-18 year olds have a poor diet

Timeeg. limits for presentations

Extract data from tables and lists in KS3 and sometimes KS4

Analysis of numerical informationeg. in advertisements

Dates 22nd January 2015 Create bar charts or pie charts to illustrate oral presentationseg. in speaking and listening exercises in KS4

Estimation of numbers of words in essays, eg. average of 10 words per

line x number of lines parts of essays, eg. limiting the

introduction to a given number of words/lines/time

presentations monologues, eg. Big Brother

application videos

Line length of forms termed as regular or irregulareg. in poetry

Venn diagrams for a comparative analysisEg. two unseen poems, looking at themes, techniques or context

Use of numbers as referenceseg. Chapter 4, Act 1 scene 3

Estimation / Measuring (e.g. paragraph indentations)

Interpret data in charts and diagramseg. in persuasive writing occasionally in exam questions at KS4

Use of Roman numerals in scholarly editions of classic textseg. Act IV scene vi

Construct tension graphs of a narrativeeg.

Counting / Tapping beat in poetry/Counting syllables in words/Tapping ‘beats’ to aid spelling

Looking at form in poetrye.g. sonnet = 14 lines, haiku

Rhythm in poetrye.g. iambic pentameter

Numeracy Policy

Prefixes relating to numbere.g. tri – 3

Examinations: GCSE English and English LiteratureA-Level English and English Literature

Numeracy PolicyNumeracy Audit

Curriculum Area: ENGLISHSubject Area: MEDIA

Number/Algebra Shape, Space & Measures Handling Data

Media funding/production costs Timings of film shots

Camera shots – angle of camera eg low angle or high angle

Framing within a shot

Market Research – writing up of survey results

Statistical diagrams

Examinations:

Numeracy Policy

Numeracy Audit

Curriculum Area: GEOGRAPYSubject Area: GEOGRAPHY

Number/Algebra Shape, Space & Measures Handling DataBasic arithmetic skills +, -, and ÷ Use and interpret maps and

scale drawingseg. 1cm : 100 meg. compare distances on a map “ as the crow flies” with “by road”

Understand and use statistical problem solving process

Understand place valueeg. 6.2 on a diagram or in a table, where the scale is in thousands of tonnes, means 6200 tonnes

Measure and draw lines and angleseg. position from a given location (distance + bearing)

Hypothesis testingeg. your quality of life is better the further you live from the town centre

Note: terminology null hypothesis

Percentages as part per 100 Conversion between metric measureseg. cm to mm

Design an experiment or survey

Percentages to compare proportionseg. comparing percentages of land use

Coordinateseg. 4-figure and 6-figure grid references – accuracy of map work

Data collectioneg. tally charts and frequency tables

Axes on graphsReading the scale correctlySelecting a “good” scale for the data

Construct cross-sections to scale Extract data from printed tables or lists

Gradienteg. of rivers, using trigonometry

Look at data to find patterns and exceptions

Interpret scales on a range of measuring instrumentseg.temperature on a thermometerwind speed on an anemometerrainfall in a rain gauge

direction on a compass

Charts and diagrams: construct and interpret, drawing conclusions using appropriate geographical terminologyeg. KS3Bar Chart – people per houseFrequency Chart – rainLine graph – temperaturePercentage bar charts 0 – 100%Pie charts – land useScatter graphs – developmental indicators such as GDP v infant mortalityeg. KS4Population pyramidsClimate graphs

Discrete and continuous dataSelection of appropriate diagram drawn on appropriate paper

Correlationeg. on a scatter grapheg. Spearman Rank (v higher only)

Examinations: GCSE GeographyA-Level Geography

Numeracy PolicyNumeracy Audit

Curriculum Area: HISTORYSubject Area: HISTORY

Number/Algebra Shape, Space & Measures Handling DataBasic arithmetic skills +, -, and ÷ Measures of time

eg. Decade, Century, Milleniumeg. 2015 is in the 21st century

Interpreting graphse.g. mortality rate in the Black Death

Basic understanding of percentageseg. 60% of the population lived in poverty

AD, BC

Comparison of numberseg. unemployment figures in the Weimar Republic in Germany and in the USA6 million v. 12 million

Time lines and dates including ordering dates in chronological order

Interpret statistical diagramseg. a line graph of unemployment in the Weimar Republic against time

Use simple ratioseg. 1 in 3 people died during the Black Death

Extract data from printed tables and lists

Find simple fractions and percentages of amounts

Sequencing events on a time line

Use the average (mean)eg. average wage

Roman Numerals for Roman History and Monarch numbers

Percentages for casualty figures in wars and major catastrophes

Profits – e.g. Slave trade

Interpreting statistical information as an evidence sourceeg. evidence about the depression in America in the form of bar charts, pie charts and line graphs

Examinations: GCSE History BA-Level History

0

0 1645

1914

Centuries

2015

20 21

0

Numeracy PolicyNumeracy Audit

Curriculum Area: MODERN LANGUAGESSubject Area: FRENCH & SPANISH

Number/Algebra Shape, Space & Measures Handling DataNumbers (1-1000) Telling the time

eg. 12 hour and 24 hour clock, and associated vocabulary

Conducting simple survey – tallies and frequency

Numbers (1000 & higher)eg. for use with currency, age and Bingo

Timeeg. dates, names of the months and days of the week

Interpreting simple statistical diagrams

Population size of countries

Ordinal Numbers v. Cardinal Numbers

Reading timetableseg. meeting arrangements and journey times

Basic percentages including simple calculations and their relationships to fractions

Directions on a mapeg. left, right, straight ahead and the compass points

Arithmetic (4 rules) Metric quantities

Money Calculationseg. shopping, salaries, pocket money, bills, prices, etc.

Names of shapes

Area of Countiores

Speed of cars, trains, etc.

Comparative languageEg. higher, lower, more than, less than

Examinations: GCSE FrenchGCSE SpanishA-Level FrenchA-Level Spanish

Numeracy PolicyNumeracy Audit

Curriculum Area: MUSIC AND THEATRE STUDIESSubject Area: MUSIC

Number/Algebra Shape, Space & Measures Handling DataPatterns/sequences in rhythm, keeping time

Timeeg. analysis of a song at a specific time

Design and conduct a survey eg. favourite genre of musiceg. Btec Marketing survey

Values of notes and subdivision of beatsWhole note – semi-breve¾ note – dotted minim½ note (minim)¼ note (crotchets)1/8 note (quavers)1/16 note (semi-quavers)

Dates and Timelineseg. Baroque period 1600 to 1760 Classical period 1750 to 1820

Produce appropriate statistical diagramseg. pie chart to compare proportions of a group liking certain music genres

eg. comparative bar chart to compare musical tastes of different years (discrete data)

eg. frequency diagram to compare length of songs (continuous data)

eg. Spider diagram of the attributes of a piece of music (Tempo, Harmony, Rhythm, Instruments, Melody, Form, Dynamics, Texture – the happy rabbit is making fun down town)

Time signature (beats in the bar) Musical notation and staves

Different counting rhythmseg. ethnic music

Polyrhythms – 2 or more independent rhythms played at the same time – eg. traditional African music

Phasing - compositional technique in which the same part (a repetitive phrase) is played on 2 musical instruments, in steady but not identical tempi eg. Reich

Minimalism - music using simple sonorities, rhythms, and patterns, with minimal embellishment or orchestrational complexity, characterized by protracted repetition of figurations, obsessive structural rigor, and often a pulsing, hypnotic effect eg. Reich & Glass

Links to common multipleseg.3 6 9 12 15 18 21 24 27 …

4 8 12 16 29 24 38 32 …

Bucks Fizz games

Chord diagramseg. representation of finger positions on a guitar – tab diagramss

Scaleseg. Pentatonic – 5 notes Western – 8 notes Eastern

Roman numeralseg. Primary chords – 1, 4, 5 major C, F, G I, II, III Secondary chords – 2, 3, 6 minor D, E, A i, ii, iii

Examinations: GCSE Music A-level Music

Numeracy Policy Numeracy Audit

Curriculum Area: PESubject Area: PE

Number/Algebra Shape, Space & Measures Handling DataScoring sequences in various sports

Measures of lengthe.g. athletics – height, length and their units

Tables - reading data

Repetition exercises/sequences e.g. Reps/sets in circuit training

Measures of timee.g. athletics – time and their units

Collecting and recording data

Percentages – Training zone calculationse.g. Aerobic exercise should be between 60 – 80% of maximum heart rate

Measurement of physical attributese.g. pulse rates

Graphs - reading data and drawing graphse.g. Time-heart rate graphs

Recovery rates post exercise, and comparison between data collected on different days to see impact of changes in, say, exercise regimes

Equations and substitutione.g. volume of blood/cardiac output = stroke capacity x heart rate

Anglese.g. turns in trampolining in degrees as well as parts of turnseg. angles of release or contact in tennis and football

Comparison against best

e.g. multi stage fitness test, 1 minute sit ups/press-ups, speed and agility tests.

Calculationse.g. Multi stage fitness test and the Borg RPE Scale.

Compass directions, estimation of distance and map scalese.g. in orienteering, using basic maps up to OS maps

Tally chartse.g. Collecting scores in cricket

Use of speed, distance and timee.g. in calculations of pace in different parts of a run

Examinations: GCSE PE AQASports LeadershipBTec L3 EdexcelBTec L2 Edexcel

Sports offered: Athletics Tennis Rounders Fitness Gymnastics Badminton Handball Trampolining Football Rugby Cricket Orienteering Squash

Numeracy PolicyNumeracy Audit

Curriculum Area: RESubject Area: RE

Number/Algebra Shape, Space & Measures Handling DataConcept of finite and infiniteeg. Aquinas cosmological argument

Time – dateseg. involving Judaic calendar; millennium; Christian calendar; Islamic monthly moon-based cycle, Cartesian Dualism.

Data and statistical examination to identify statistical trends, compare data and make an informed judgementeg. divorce rates over timeeg. decrease in religious identity v. divorce rates

Directed number BC / ADe.g. 4000 BC; 6000 years ago

Time lines in the development of religion

Data presented in the form of a table or census

Percentages and Ratioseg. if the world were 100 people, what would it look like in terms of religion, poverty/wealth, languages spoken …

http://www.100people.org/statistics_100stats.php?section=statistics

http://www.100people.org/statistics_detailed_statistics.php

http://www.jackhagley.com/The-World-as-100-People

Reading and interpreting graphs/ charts to make an informed judgementeg. bar or pie charts of ethnicity or religioneg. line graphs

eg. A-Level Ethics looks at Sociological Data on things such as capital punishment, etc.

Probability – Mathematical thinking required to decide if certain ideas and events are a possibility/probability.

Examinations: GCSE RE A-Level REA-Level Ethics

Numeracy PolicyNumeracy Audit

Curriculum Area: SCIENCESubject Area: BIOLOGY, CHEMISTRY and PHYSICS

Higher pupils need the skills in bold.

Number/Algebra Shape, Space & Measures Handling DataUnderstand number size and scale, and the quantitative relationship between unitseg. the prefixes of units (kilo, mega, micro, nano …)eg. standard form

Understand and use common measures and simple compound measures such as speed

Calculate arithmetic means

Understand when and how to use estimation

Calculate area, perimeters and volumes of simple shapeseg. rectangle, circle, cube, cuboid, cylindereg. surface area for cooling

Plot and draw graphs (line graphs, bar charts, pie charts, scatter graphs, histograms), selecting appropriate scales for the axeseg. temperature v. timeeg. equal interval histograms onlyBiology – all statistical diagramsPhysics – line and scatter graphs

Issues about whether a diagram is a line graph or a scatter graph:

eg. if time is involved it is a line graph: cooling curves

eg. if time isn’t involved and we are looking to see if there is a relationship, then it is a scatter graph and the line of best fit may be a curve: pressure v. volume of a gas

Carry out calculations involving +, -, x, , either singly or in combination, decimals, fractions, percentages and positive whole number powers

Provide answers to calculations to an appropriate number of significant figures

Understand and use the symbols =, <, >,

Understand and use direct proportion and simple ratioseg. straight line relationships through the origin such as V = Ir and F = maeg. transformers

Substitute numerical values into simple formulae and equations using appropriate unitseg. BIDMAS for equations such as

Ek=12mv2

Translate information between graphical and numeric formeg. interpretation of gradient of a graph

Extract and interpret information from charts, graphs and tables

Interpret, order and calculate with numbers written in standard formeg. a×10n – shifting the digits and not the decimal point

Understand the idea of probability

Carry out calculations involving negative powers (only -1 for rate)eg. speed or frequency of light ms−1∨s−1

Change the subject of an equation

Understand and use inverse proportion

Understand and use percentiles and deciles.

Examinations: GCSE Core and Additional Science or Separate SciencesA-level Physics, Chemistry and Biology

Numeracy PolicyPhysics Equations Sheet – GCSE Science A/ Physics

E = m × c × θ E energy transferred c temperature changem mass specific heat capacity

efficiency = useful energy out (× 100%) total energy in

efficiency = useful power out (× 100%) total power in

E = P × t E energy transferred t timeP power

v = f × λ v speed λ wavelengthf frequency

Physics Equations Sheet – GCSE Additional Science / Physicsa= fm or F=m×a F resultant force a acceleration

m mass

a= v−ut

a acceleration u initial velocityv final velocity t time taken

W=m×g W weight g gravitational field strengthm mass

F=k ×e F force e extensionk spring constant

W=F×d W work done F force appliedd distance moved in the direction of the force

P= Et

P power t time takenE energy transferred

EP=m×g×hEP change in gravitational potential energy g gravitational field strengthm mass h change in height

Ek=12mv2 Ek kinetic energy v speed

m mass

p=m×v p momentum v velocitym mass

Physics Equations Sheet – GCSE Physicss=v ×t s distance t time

v speed

refractive index= sin isin r

i angle of incidencer angle of refraction

magnification= imageheightobject height

P=1f

P powerf focal length

refractive index= 1sin c

c critical angle (Higher Tier only)

T=1f

T periodic timef frequency

M=F×dM moment of the force f forced perpendicular distance from the line of action of the force to the pivot

P= FA

P pressure A cross-sectional areaF force

V p

V s=n pns

V p potential difference across the primary coilV s potential difference across the secondary coilnp number of turns on the primary coilns number of turns on the secondary coil

V p×I p=V s×I s V p potential difference across the primary coil

Numeracy PolicyI p current in the primary coilV s potential difference across the secondary coilI s current in the secondary coil

Numeracy PolicyNumeracy Audit

Curriculum Area: SOCIAL SCIENCESSubject Area: BUSINESS & ECONOMICS

Number/Algebra Shape, Space & Measures Handling DataGeneral arithmeticeg. cash flow calculations and forecasts (+ and -) and budgetseg. profit and loss accounts

Money Understand and use statistical problem solving process

Reading numbers correctly when written in digitseg. 10580

Design and use a data collection sheet for a given sample

Negative numberseg. cash flow and budgets

Extract data from printed tables or lists

Interpret and use formulae (substitution)eg. break even formulae or elasticity of demand

Interpret statistical diagramseg. bar charts, pie charts and line graphs – interest rates, employment rates, economic growth

Percentages Write numbers as a

percentage Percentages of amounts Percentage change

eg. price and income elasticity of demand

Repeat percentage change Use percentages to compare

proportions VAT and other taxes

Moving averages and trend analysis

Simple ratioseg. dividing amounts into a given ratio, net profit margins, gross profit margins, and comparison of margins from one year to the nexteg. Profitability Gross and Net and Liquidity

Construct graphseg. break-even graphs from multiple columns of data, correctly identifying the independent variable

Identify “good” scales to use on the axes of graphs

Examination: GCSE Business StudiesGCSE EconomicsB-Tec Business Studies

Numeracy PolicyNumeracy Audit

Curriculum Area: SOCIAL SCIENCESSubject Area: PSYCHOLOGY

Number/Algebra Shape, Space & Measures Handling DataPercentages Interpret information from

different resources especially tables

Understanding rates Interpret data and statistical information to make an informed judgementeg. analyse statistical data looking for trends and correlation, and spotting patterns

Draw and read graphs / charts to make an informed judgement

e.g. barcharts, histograms, scattergraphs, line graphs

Statistical Calculations

e.g. T-Test, Correlation, Chi –Squared, standard deviation, etc.

Measures of dispersion

Examinations: A-Level Psychology