Numeracy Audit - SFX · Web viewFlow charts / procedure charts Calculate percentages of amounts...
Transcript of Numeracy Audit - SFX · Web viewFlow charts / procedure charts Calculate percentages of amounts...
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