1. Reading bar charts Interpreting Data Bridging the gap to

2. Teacher Notes This resource provides … - A detailed look at how to read (interpret) bars and charts … using an easy to remember approach called the Traffic Lights Method - An ideal follow-on from to Introduction to Data Handling … in the School Booster resource at www/bgfl.org/mathsbooster - User-friendly … With clear, stepwise examples and answers. - User-controlled … You can control how fast or slow you go using the mouse keys.

3. Teacher Notes How to use this resource You can control how fast or slow you go, using: FORWARD: OR OR Enter OR Left-hand mouse BACK: OR OR Back Space TO START SLIDESHOW: F5 OR Slide Show > View Show TO END SLIDESHOW: Escape

4. Reading bar charts Interpreting Data If you want to get the BIG PICTURE first about Data Handling … … why not try the introductory slide show: Introduction to Data Handling ! at www.bgfl.org/mathsbooster (School Booster)

5. Reading bar charts Recap: 3 Steps in Data Handling 1. Collect the data Get the information you need 1. Collect the data Get the information you need H e i gh t N u m b e r l e ss t han 1 50 c m h i gh 9 l e ss t han 1 50 c m h i gh 2 0 m o r e t han 2 00 c m h i gh 1 3 0 6Ks bedtimes: 8:30pm, 8:00 pm, 7:45 pm, 9:30 pm, 7:00 pm, 10:00 pm, 7:20 pm, 8:15pm, 7:29 pm, 11:45 pm, 8:50 pm, 8:15 pm,9:00 pm, 7:18 pm, 9:25 pm, 10:30 pm, 8:18 pm 3.Interpret the data Explain it! … Say what it means! Draw some conclusions! 3.Interpret the data Explain it! … Say what it means! Draw some conclusions!

6. Reading bar charts Recap: 3 Steps in Data Handling Step 1. Collect the data Step 2. Organise & display the data Step 3. Interpret the data Height Number less than 150cm high 9 less than 150cm high 20 more than 200cm high 1 30 6Ks bedtimes: 8:30pm, 8:00 pm, 7:45 pm, 9:30 pm, 7:00 pm, 10:00 pm, 7:20 pm, 8:15pm, 7:29 pm, 11:45 pm, 8:50 pm, 8:15pm, 9:00 pm, 7:18 pm, 9:25 pm, 10:30 pm, 8:18 pm

7. Reading bar charts Year 6 Profiles You can tell a lot about a class from their habits! Year 6 has revealed all in a massive survey. You can see the results in these graphs and charts – but what do they mean? Use the easy T TT Traffic Lights Method to read your graphs

8. Reading bar charts Using the Traffic Lights Method RED: STOP AND LOOK! … AT THETitle Axes Numbers and scale AMBER: GET READY TO READ! Turn each bar into English so that the graph makes sense before you start … Always Make Bars Easy Reading GREEN: GO AND READ THE GRAPH! SAY WHAT YOU SEE - The tallest bar? Shortest bar? Differences between the bars?

9. Reading bar charts RED: STOP AND LOOK AT: Title Axes Numbers and scale Reading bar charts RED: STOP AND LOOK AT: Title Axes Numbers and scale Where is the title? 10 9 8 7 6 5 4 3 2 1 0 Number of pupils What does the title say the graph is about? 6Ks Bedtimes Bedtime 7pm 8pm 9pm 10pm 11pm. to to to to to 8pm 9pm 10pm 11pm Midnight

10. Reading bar charts RED: STOP AND LOOK AT: Title Axes Numbers and scale Reading bar charts RED: STOP AND LOOK AT: Title Axes Numbers and scale Where is the x-axis? 10 9 8 7 6 5 4 3 2 1 0 Number of pupils What does the x-axis show? 6Ks Bedtimes 7pm 8pm 9pm 10pm 11pm. to to to to to 8pm 9pm 10pm 11pm Midnight Bedtime Question What if a pupil says that they go to 8pm? Should their data go into the 1 st or 2 nd bar? Answer It doesnt matter – as long as you decide the same rule for all results! In this survey, borderline results were put in the higher bar.

11. Reading bar charts RED: STOP AND LOOK AT: Title Axes Numbers and scale Where is the y-axis? What does the y-axis show? 10 9 8 7 6 5 4 3 2 1 0 Number of pupils 6Ks Bedtimes 7pm 8pm 9pm 10pm 11pm. to to to to to 8pm 9pm 10pm 11pm Midnight Bedtime

12. Reading bar charts RED: STOP AND LOOK AT: Title Axes Numbers and scale Reading bar charts RED: STOP AND LOOK AT: Title Axes Numbers and scale What y numbers do we have? What x numbers do we have? 10 9 8 7 6 5 4 3 2 1 0 Number of pupils 6Ks Bedtimes 5 bedtime slots from 7pm to Midnight. 1 -10: easy numbers! What scale? 1 hour bedtime slots. What scale? The y-axis goes up in 1s - so its very easy to read! 7pm 8pm 9pm 10pm 11pm. to to to to to 8pm 9pm 10pm 11pm Midnight Bedtime

13. Reading bar charts AMBER: GET READY TO READ! Always Make Bars Easy Reading Reading bar charts AMBER: GET READY TO READ! Always Make Bars Easy Reading 10 9 8 7 6 5 4 3 2 1 0 Translate each bar into a sentence! Click here for Translator: Maths to English Number of pupils 6Ks Bedtimes Bedtime 1 pupil after 11 10 pupils go to bed between 8pm and 9pm. 8 pupils go to bed between 9pm and 10pm. 9 pupils go to bed between 7pm and 8pm. 2 pupils 10-11pm. 7pm 8pm 9pm 10pm 11pm. to to to to to 8pm 9pm 10pm 11pm Midnight

14. 6Ks Bedtimes The shortest bar means …? The tallest bar means …? 10 9 8 7 6 5 4 3 2 1 0 Number of pupils Bedtime Reading bar charts GREEN: GO AND READ! – the tallest and shortest 10 pupils go to bed between 8pm and 9pm. 1 pupil after 11 SHORTEST BAR 11pm - Midnight is the least popular bedtime. TALLEST BAR 8pm - 9pm is the most popular bedtime. 7pm 8pm 9pm 10pm 11pm. to to to to to 8pm 9pm 10pm 11pm Midnight Mode Most popular (1 kind of average)

15. 7pm 8pm 9pm 10pm 11pm. to to to to to 8pm 9pm 10pm 11pm Midnight Reading bar charts GREEN: GO AND READ! 6 ways to say what you see – about the mode Bedtime 10 9 8 7 6 5 4 3 2 1 0 Number of pupils 10 pupils go to bed between 8pm and 9pm. OR … The modal bedtime is 8pm to 9pm. OR … The most popular bedtime is 8pm to 9pm. OR … Most Y6K pupils go to bed between 8pm to 9pm. OR … The most common bedtime is 8pm to 9pm. OR … The most frequent bedtime is 8pm to 9pm. OR … The bedtime with the highest frequency is 8pm to 9pm.

16. 6 more pupils go to bed 9pm - 10pm than those who go at 10pm - 11pm. 8 = 2 + 6 6 more pupils go to bed 9pm - 10pm than those who go at 10pm - 11pm. 8 = 2 + 6 9 fewer pupils go to bed at 11pm – Midnight than those who go between 8pm - 9pm. 10 – 9 = 1 9 fewer pupils go to bed at 11pm – Midnight than those who go between 8pm - 9pm. 10 – 9 = 1 5 times as many pupils go to bed 8pm - 9pm as those who retire 10pm - 11pm. 10 = 5 x 2 5 times as many pupils go to bed 8pm - 9pm as those who retire 10pm - 11pm. 10 = 5 x 2 7pm 8pm 9pm 10pm 11pm. to to to to to 8pm 9pm 10pm 11pm Midnight Reading bar charts GREEN: GO AND READ! – compare the bars 10 9 8 7 6 5 4 3 2 1 0 Number of pupils 6Ks Bedtimes Bedtime Half as many pupils go to bed 11pm - Midnight as those who go between 10pm – 11pm. 1 = 1/2 of 2 Half as many pupils go to bed 11pm - Midnight as those who go between 10pm – 11pm. 1 = 1/2 of 2 Can you find some other things to say about this graph? You might want to use: more than + fewer than - times x of ÷ Can you find some other things to say about this graph? You might want to use: more than + fewer than - times x of ÷

17. Reading bar charts GREEN: GO AND READ! – the total of the bars 10 9 8 7 6 5 4 3 2 1 0 Number of pupils The total of all bars means …? TOTAL OF ALL BARS = Total number of pupils … 9 10 8 2 + 1. Total = ? TOTAL OF ALL BARS = Total number of pupils … 9 10 8 2 + 1. Total = ? Total = 30 pupils 6Ks Bedtimes Bedtime 1 pupil 10 pupils 8 pupils 9 pupils 2 pupils 7pm 8pm 9pm 10pm 11pm. to to to to to 8pm 9pm 10pm 11pm Midnight

18. Reading bar charts GREEN: GO AND READ! – compare 2 bars as fractions 10 9 8 7 6 5 4 3 2 1 0 Translate each bar into a fraction sentence! Click here for Fractions Translator: Number to Fractions 1 30 10 pupils Out of 30 = 10 30 8 Pupils out of 30 = 8 30 9 Pupils out of 30 = 9 30 2 pupils = 2 30 Number of pupils 6Ks Bedtimes Bedtime 7pm 8pm 9pm 10pm 11pm. to to to to to 8pm 9pm 10pm 11pm Midnight

19. Can you tell anything from this graph shape? More pupils go to bed earlier rather than later! What about the shape of this graph? Reading bar charts GREEN: GO AND READ! - the graph shape 6Ks Bedtimes6Ls Bedtimes6Ms Bedtimes … and this one? Roughly the same number of pupils go to bed earlier and later More pupils go to bed later rather than earlier!

20. Reading bar charts What next? Now youve tried out the T TT Traffic Lights Method! If you have any questions, you can ask your teacher. Or, if you want to have a go at some for yourself… … why not try the Pupils version: Reading bar charts ! at www.bgfl.org/mathsbooster (School Booster)