Application of Number

INSETJune 2007

Application of Number

What is Application of Number?

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