Transcript AoN

Application of Number
INSET
June 2007
Application of Number
What is Application of Number?
2004 Standards
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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
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Level 1
All assessment criteria to be covered in
one or more activities
(ideally in context with standalone work
limited)
Clarification
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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
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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 1
Statement of purpose
Level 2
As 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
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N1.1 (Straight forward)
10
Two different sources, at least one to
include a table, graph, chart or diagram
N1.1.1 Obtain information
N1.1.2 Identify suitable calculations
Level 1 – Carry out and Check
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N1.2.1
Carryout calculations to given levels of
accuracy
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N1.2.2
Check the results make sense
Level 1 – Carry out & Check
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N1.2 a. Amounts or sizes
Whole numbers and simple decimals
Simple percentages and fractions
Areas and volumes of rectangular shapes
N 1.2 b. Scales or proportions
Use scales on diagrams
Use ratio and proportion (3:1)
N 1.2 c. Handling statistics
Mean and range, such as 10 items
Level 1 – Interpret & Present
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N1.3 - Present results in two different
ways using charts or diagrams
N1.3.1
N1.3.2
N1.3.3
N1.3.4
Choose suitable ways
Use more than one way
Use a chart or diagram
Describe what the results tell you
Level 2
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Statement of purpose + description
of selected activity
Not standalone activities at level 2
Level 2 – Sources
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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 information
N2.1.2 Obtain the information
N2.1.3 Choose appropriate methods
Level 2 – Carry out & Check
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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
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N2.2 a. Amounts or sizes
Calculations involving two + steps, numbers of any
size
Convert between %, decimals and fractions and
between systems of measurement
Areas and volumes of composite (L-shaped) shapes
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N2.2 b. Scales or proportions
Work out dimensions from more complex scale
drawings using more complex scales
Calculate using ratios (3:5)
Stratified sampling
Level 2 – Carry out & Check
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N2.2 c. Handling statistics
COMPARE 2 sets of data, of appropriate size, such as
20 items using %, mean, mode, median and range
N2.2 d. Using formulae
Understand and use given formulae (words and
symbols), e.g. compound interest, area of circle.
Level 2 - Interpret & Present
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N2.3 - Overall, present findings in two different ways
using charts, graphs or diagrams
N2.3.1 Select effective ways
N2.3.3 Use more than one way
N2.3.2 Use a chart, graph or diagram and describe
your methods
N2.3.4 Describe what the results tell you and how
they meet the purpose
Process N *.2, Checks
N 1.2.2, Check the results make sense
N 2.2.2, Check methods and make sure the
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results make sense
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N 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
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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
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N3.1
Two different sources, including a large
data set (over 50 items)
N3.1.1 Plan how to get and use the
information
N3.1.2 Obtain the information
N3.1.3 Choose appropriate methods
and justify the choice.
Level 3 - Multi-stage Calculations
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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
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N3.2 a. Amounts or sizes
Multi stage calculations.
Use of powers and roots
Finding missing angles and sides
N 3.2 b. Scales or proportions
Work out dimensions from complex scale drawings
Calculate proportional change (x 1.175)
Proportional pie charts
Stratified Sampling
Level 3 - Multi-stage Calculations
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N 3.2 c. Handling statistics
Compare 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 formulae
Use formulae, equations and expressions
(demonstrate progression)
Level 3 - Interpret & Present
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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 choice
N3.3.2 Present findings effectively
N3.3.3 Describe what the results tell you and
whether they meet the purpose