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Graphs and Charts Curriculum links and teaching notes For L1-L2 Adult Numeracy and Functional Maths. Can be used as an introduction and also for revision April 2012. Kindly contributed by Chris Farrell, Bolton College. Search for Chris on www.skillsworkshop.orgwww.skillsworkshop.org Please refer to the download page for this resource on skillsworkshop for detailed curriculum links and related resources. April 2012. Kindly contributed by Chris Farrell, Bolton College. Search for Chris on www.skillsworkshop.orgwww.skillsworkshop.org Please refer to the download page for this resource on skillsworkshop for detailed curriculum links and related resources.

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April 2008Chris Farrell A tally chart provides a quick method of recording data as events happen. Tally marks are drawn as vertical strokes – I - until there are four. Then the fifth stroke is drawn across the previous four IIII. This is continued until all the data is collected. The advantage of this method of tallying is that objects can be counted quickly and easily at the end.

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April 2008Chris Farrell Number of students who like chocolate chip cookies best Pictograms (or pictographs) show the data as pictures. The pictures represent a number of items. Pictograms are not usually the best graph to use, because data can be more easily represented in bar graphs. The Pictogram it must also have a Key, for it to make sense. Key The key tells us ‘how many’ each picture represents. http://www.statcan.gc.ca/edu/power-pouvoir/ch9/picto-figuratifs/5214825-eng.htm

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April 2008 www.statcan.gc.ca/edu/power-pouvoir/ch9/bargraph-diagrammeabarres/5214818-eng.htm www.statcan.gc.ca/edu/power-pouvoir/ch9/bargraph-diagrammeabarres/5214818-eng.htm Chris Farrell Number of police officers in Crimeville, 1993 to 2001 Bar charts are used to compare data. The height of the bars tells us ‘How Many?’ ‘How much?’ ‘How often?’ or ‘How high, or low?’ horizontal axis vertical axis title Years labels The bars are usually vertical scale (must show correct units cm. ◦c, £ etc) ) x y (or, x axis) (or, y axis)

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April 2008Chris Farrell Number of students at Diversity college who are immigrants, by last country of permanent residence The bars can be horizontal. Last Country of residence www.statcan.gc.ca/edu/power-pouvoir/ch9/bargraph-diagrammeabarres/5214818-eng.htm

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April 2008Chris Farrell Number of police officers in Crimeville, 1993 to 2001 ‘Single bar’ charts compare data in one set, to look for patterns. http://www.statcan.gc.ca/edu/power-pouvoir/ch9/bargraph-diagrammeabarres/5214818-eng.htm

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April 2008Chris Farrell Internet use at Redwood Secondary School, by gender, 1995 to 2002 Some bar charts compare two, or three sets of data. This is a dual bar chart. It compares 2 sets of data. This chart must have a Year Key Key. The key identifies the bars.

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April 2008Chris Farrell Music preferences in young adults 14 to 19 Pie Charts are used to show proportions, fractions and percentages in sets of data. http://www.statcan.ca/english/edu/power/ch9/piecharts/pie.htm A pie chart must also have a key. This identifies the sectors The sectors describe the different parts of the data. Sectors

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April 2008Chris Farrell It is possible to use dual pie charts to compare data, but they are not as clear as dual bar charts. It can be difficult to see the difference between a sector in one chart and its corresponding sector in the other chart. Smoking frequency of 15-year-olds on the Parkview Secondary School track and field team

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April 2008Chris Farrell Line graphs are used to show direction, or change in direction. They tell us what happens over a period of time. This is called To start a line graph School students in the workforce. When drawing a graph, it is important that you use the correct scale. Title Labels Scale trend. Plotted line http://www.bbc.co.uk/schools/gcsebitesize/maths/data/representingdata2rev3.shtml You mark (plot) the data on the graph with points or crosses

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April 2008Chris Farrell Money raised in a sponsored walk http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i3/bk7_3i1.htm Scatter graphs are used to se if there is a connection ( relationship) between 2 sets of data. Like the line graph the axes must be evenly spaced, but the scales don’t have to be the same on each axis. Like the line graph, you plot points on the grid, but you do not join the points.

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April 2008Chris Farrell Correlation positivenegative Scatter graphs show a positive or negative correlation (relationship) between 2 sets of data. http:// hospitality.hud.ac.uk/studyskills/usingData/PresentingData/scatter.htm

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April 2008Chris Farrell http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i3/bk7_3i6.htm Conversion graphs Conversion graphs make changing from one unit of measure to another easy. In this graph you can convert Kilometres to miles or vice versa.

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April 2008Chris Farrell Summary Bar charts are used to compare data.Dual bar charts compare two sets of data. Pictograms (or pictographs) show data as pictures. These charts show discrete data. Discrete data has exact values e.g. shoe sizes 3,3½,4,4½ etc. Line graphs are used to show trends or changes. i.e. Is something increasing, decreasing or static ( level, not going up or down) ? They are used for continuous data. Continuous data does not have exact values e.g. lengths -3.48 cm, weights -67.39kg or temperature. Pie Charts are used to show proportions, fractions and percentages in sets of data. Scatter graphs are used to see if there is a connection ( relationship) between 2 sets of data. ****************** Conversion graphs changing units of measure from one system to another e.g. £(pounds) to €(euros). When you collect information in a survey, you record the data in a tally chart or frequency table

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April 2008Chris Farrell http://www.edexcel.org.uk/VirtualContent/50889/AONL1_Practice_Set_A_Test_Paper.pdf Exam/study Practice http://www.edexcel.org.uk/VirtualContent/50889/AONL1_Practice_Set_B_Test_Paper.pdf http://www.edexcel.org.uk/VirtualContent/50889/March_Com_L1.pdf http://www.edexcel.org.uk/VirtualContent/50889/Feb_AoN_L1.pdf http://www.bristolclcs.org.uk/docs/ALAN/Num_Level2_TestC_Nov04.pdf http://www.cityandguilds.com/sites/basicskills/docs/003+AON+L1.pdf http://www.cityandguilds.com/sites/basicskills/docs/009+AON+L2.pdf http://www.cityandguilds.com/sites/basicskills/docs/AoN-L2-21-P4.pdf http://www.bbc.co.uk/schools/gcsebitesize/maths/data/measuresofaveragerev7.shtml Level 1 Level 2 http://www.move-on.org.uk/ilr/numeracy_l2/s2taketest.asp?test=n http://hospitality.hud.ac.uk/studyskills/usingData/dhtml/Interpreting.htm

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