application of number inset june 2007. application of number what is application of number?
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2004 Standards
Collect > Process > Interpret Graph is a Chart is a Graph Amounts OR Sizes Scales OR Proportions With or without a calculator Parts A and Parts B
Clarification
Level 1 All assessment criteria to be covered in one or more activities
(ideally in context with standalone work limited)
Clarification
Level 2 At least one activity covering N2.1 collect, N2.2 process and N2.3 present.
If all of N2.2 not covered then second activity covering N2.1 + N2.2 or N2.2 + N2.3 if required. Must involve process plus one other stage
Clarification Level 3
All assessment criteria to be covered through one or more activities that each covers N3.1, N3.2 and N3.3
Collect + Process + Present
Introduction
Level 1Statement of purposeLevel 2As above + description of selected activity
Level 3 Candidates must plan their activities and
identify and carry out tasks for themselves,
including alternative approaches.
Level 1 – Sources
N1.1 (Straight forward) 10Two different sources, at least one to include a table, graph, chart or diagramN1.1.1 Obtain informationN1.1.2 Identify suitable calculations
Level 1 – Carry out and Check
N1.2.1 Carryout calculations to given levels of accuracy
N1.2.2Check the results make sense
Level 1 – Carry out & Check N1.2 a. Amounts or sizes
Whole numbers and simple decimalsSimple percentages and fractionsAreas and volumes of rectangular shapes
N 1.2 b. Scales or proportionsUse scales on diagramsUse ratio and proportion (3:1)
N 1.2 c. Handling statisticsMean and range, such as 10 items
Level 1 – Interpret & Present N1.3 - Present results in two
different ways using charts or diagrams
N1.3.1 Choose suitable waysN1.3.2 Use more than one wayN1.3.3 Use a chart or diagramN1.3.4 Describe what the results tell you
Level 2
Statement of purpose + description of selected activity
Not standalone activities at level 2
Level 2 – Sources N2.1 (Relevant) 20
Two different sources, one MUST include a graph or chart.(not a table, diagram or map)
N2.1.1 Choose how to get the informationN2.1.2 Obtain the information
N2.1.3 Choose appropriate methods
Level 2 – Carry out & Check N2.2.1 Clearly show methods and levels
of accuracy
N2.2.2 Check methods, correct errors and make sure results make sense
Level 2 – Carry out & Check N2.2 a. Amounts or sizes
Calculations involving two + steps, numbers of any sizeConvert between %, decimals and fractions and between systems of measurementAreas and volumes of composite (L-shaped) shapes
N2.2 b. Scales or proportionsWork out dimensions from more complex scale drawings using more complex scalesCalculate using ratios (3:5)Stratified sampling
Level 2 – Carry out & Check
N2.2 c. Handling statisticsCOMPARE 2 sets of data, of appropriate size, such as 20 items using %, mean, mode, median and range
N2.2 d. Using formulaeUnderstand and use given formulae (words and symbols), e.g. compound interest, area of circle.
Level 2 - Interpret & Present N2.3 - Overall, present findings in two different
ways using charts, graphs or diagrams
N2.3.1 Select effective waysN2.3.3 Use more than one wayN2.3.2 Use a chart, graph or diagram and describe your methodsN2.3.4 Describe what the results tell you and how they meet the purpose
Process N *.2, Checks
N 1.2.2, Check the results make senseN 2.2.2, Check methods and make sure the results make senseN 3.2.2, Check methods and results to help ensure that errors are found and corrected
Estimation, spreadsheets, scale drawing, order of magnitude and reverse calculations. Others??? Encourage estimation.
Level 3
All assessment criteria to be covered through one or more activities that each cover N3.1, N3.2 and N3.3
Candidates must plan ALL their activities and identify and carry out tasks for themselves and consider alternative approaches
Level 3 – Plan & Relevancy N3.1
Two different sources, including a large data set (over 50 items)N3.1.1 Plan how to get and use the informationN3.1.2 Obtain the informationN3.1.3 Choose appropriate methods and justify the choice.
Level 3 - Multi-stage Calculations
N3.2.1 To appropriate levels of accuracy, clearly showing methods.
N3.2.2 Check methods and results to help ensure that errors are found and corrected all results need to be checked for sense.
MULTI-STAGE CALCULATIONS
What is a multi-stage calculation?
The result from one calculation is used for subsequent calculations.
e.g. Calculating the mean and substitute into the formula for standard deviation
Level 3 - Multi-stage Calculations N3.2 a. Amounts or sizes
Multi stage calculations. Use of powers and rootsFinding missing angles and sides
N 3.2 b. Scales or proportionsWork out dimensions from complex scale drawingsCalculate proportional change (x 1.175)Proportional pie chartsStratified Sampling
Level 3 - Multi-stage Calculations
N 3.2 c. Handling statisticsCompare distributions using grouped data, data set of 50 items, using several methods, histograms, cumulative frequency charts and calculation of estimation of mean, s.d., etc.
N 3.2 d. Using formulaeUse formulae, equations and expressions(demonstrate progression)
Level 3 - Interpret & Present N3.3 – Overall, present findings in two
different ways using charts, graphs or diagrams
N3.3.1 Select appropriate methods of presentation and justify the choiceN3.3.2 Present findings effectivelyN3.3.3 Describe what the results tell you and whether they meet the purpose