Which ones are you using?

1. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Real life cross/curricular links? Where are we in our journey? Which ones are you using? Enterprise Skills LESSON OBJECTIVES Always aim high! We are learning to: • Enhance our Mathematical learning skills. (Which Enterprise skills?) - Accurately interpret different statistical diagrams. (Level 5) AUTHOR www.mistrymaths.co.uk

2. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen LEARNING JOURNEY Enterprise Skills Which ones are you using?

3. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen BRAIN IN GEAR Enterprise Skills Which ones are you using? EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: Interpret Average Represent EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur.

4. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK EXTENSION 1) Convert to an decimal and percentage: 1) Work out the volume and surface area of the cuboid below: + x 20 3 13 5 2 1 5 21 3 8 21 24 6 21 7 3 4 8 = 0.45 = 45% X 3 X 7 2) (b) (a) + ÷ X 3 X 7 4cm 6 7 = = 2cm 5cm = = = Volume of a cuboid = l x w x h Volume of a cuboid = 5 x 2 x 4 3) Work out the averages and range for: 2, 3, 3, 7, 10 Surface Area = 2lw + 2hw + 2lh 3 Volume of a cuboid = 40cm 3 5 4 Mode = Surface Area = 2 x 5 x 2 + 2 x 4 x 2 2 x 5 x 4 + 3 Median = Surface Area = 16 40 20 + + 2 76cm Surface Area = Mean = = 5 Range = 10 - 2 = 8

5. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? NAME AS MANY DIFFERENT STATISICAL DIAGRAMS AS YOU CAN – MINI-WHITEBOARDS Pie chart Bar chart Line graph STATISTICAL DIAGRAMS Scatter graph Pictograms Frequency polygon OTHERS? Histogram

6. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? CHOOSING AN APPROPRIATE STATISTICAL DIAGRAM CONTINUOUS DATA DISCRETE DATA Type that can be counted or clothing size Type that can be measured Number of screws in a box Shoe/Dress sizes Temperature, height, weight and time REPRESENTING DISCRETE DATA REPRESENTING CONTINUOUS DATA

7. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? BAR CHART A bar chart is the most common type of diagram, and is frequently used. KEY POINTS - It can be very clear and easy to read. - It can represent data expressed as actual numbers, percentages and frequencies. - A bar chart can represent either discrete or continuous data. - If the data is discrete there should be a gap between the bars. - If the data is continuous there should be no gap between the bars.

8. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? HISTOGRAM A histogram looks similar to a bar chart, but in this case the area of the bar or rectangle varies with the data, rather than just the length. KEY POINTS - It can only be used to represent continuous data. - It can represent data expressed as actual numbers, percentages and frequencies. - It is really only of value if the reader gets more information from a chart where the classes are different sizes.

9. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? PICTOGRAM A pictogram uses pictures or symbols to represent a number of units of data. The pictures usually relate to the data shown. KEY POINTS - These can be some of the most visually appealing diagrams to use. - They are often used as part of advertising campaigns. - Make sure that it is appropriate for your needs, don’t let the medium get in the way of the message. It can be tempting to use pretty pictures but these may make the information less clear; they may also trivialise the topic. - It is not always suitable for large quantities of data. You do not necessarily need one picture per piece of data (in the diagram above, one picture represents two pets). However, you may still need to show smaller quantities (eg half a picture represents one pet) and it may be hard to read if divided further. - Some pictograms can vary the size of the symbols rather than the number. Do not use this, unless you are confident. It should be the area of the picture that increases in proportion to the frequencies rather than the length, otherwise this can be misleading.

10. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? PIE CHART A pie chart shows data in terms of proportions of a whole. The 'pie' is divided into sectors that represent this proportion. This is done by dividing the angles at the centre. KEY POINTS - It is best used to present the proportions of a sample. - It is most useful where one or two results dominate the findings. - It can represent data expressed as actual numbers or percentages. - Do not use where there are a large number of categories, or where each has a small, fairly equal share, as this can be unclear.

11. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? TASK (LEVEL 5) – CAROUSEL ACTIVITY As team workers, you have two minutes to answer the statistical diagram question on your table. When the two minutes elapses you need to move onto another table and answer the question. Repeat this until all questions have been answered. 2 minutes Click to start End 3 Bus 30

12. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? TASK (LEVEL 5) – CAROUSEL ACTIVITY As team workers, you have two minutes to answer the statistical diagram question on your table. When the two minutes elapses you need to move onto another table and answer the question. Repeat this until all questions have been answered. 2 minutes Click to start End London July (London) and August (Edinburgh) 2 hours

13. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? TASK (LEVEL 5) – CAROUSEL ACTIVITY As team workers, you have two minutes to answer the statistical diagram question on your table. When the two minutes elapses you need to move onto another table and answer the question. Repeat this until all questions have been answered. 2 minutes Click to start Blue 10% End Green and Purple 10 Shows all the information in one bar and consumes little space

14. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? TASK (LEVEL 5) – CAROUSEL ACTIVITY As team workers, you have two minutes to answer the statistical diagram question on your table. When the two minutes elapses you need to move onto another table and answer the question. Repeat this until all questions have been answered. 2 minutes Click to start 32 61-80marks 15 61 & 99 End Middle of the group range

15. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? TASK (LEVEL 5) – CAROUSEL ACTIVITY As team workers, you have two minutes to answer the statistical diagram question on your table. When the two minutes elapses you need to move onto another table and answer the question. Repeat this until all questions have been answered. 2 minutes Click to start End ITV Channel 5 Sky 1 Around 20

16. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? TASK (LEVEL 5) – CAROUSEL ACTIVITY As team workers, you have two minutes to answer the statistical diagram question on your table. When the two minutes elapses you need to move onto another table and answer the question. Repeat this until all questions have been answered. 2 minutes Click to start End 15°C 17°C 9°C Shows the trend and approximate temperature at any time can be read off.

17. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? EXTENSION (LEVEL 6) 1) Investigate which other subjects in school make use of statistical diagrams. Find examples in textbooks from other subjects to show where statistical diagrams are used most effectively. 2) Make a display to show the variety of diagrams used in the press. Which are most common? How effectively do they show the information? Are any of them misleading and why?

18. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? MINI PLENARY ACTIVITY – COMPANY ACCOUNTS TASK Both these companies are big competitors. If you had to invest your money into one of these companies, which one would it be? Examine the tables above and give at least three valid reasons why in pairs.

19. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen • LINK BACK TO OBJECTIVES • Accurately interpret different statistical diagrams. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

20. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills STATISTICAL DIAGRAMS Which ones are you using? PLENARY ACTIVITY – UK ECONOMY TASK

21. What level are we working at? Where are we in our journey? What have you learnt? Draw your brain In your brain, write or draw everything you can remember about interpreting different statistical diagrams. It can be a skill or a reflection, or something else that might be prominent in your brain.

22. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen SELF ASSESSMENT Enterprise Skills Which ones are you using? Plenary Activity How well do you understand the task? . I fully understand I don’t understand I nearly understand www.mistrymaths.co.uk

23. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen SELF ASSESSMENT Enterprise Skills Which ones are you using? Plenary Activity WWW (What Went Well) EBI (Even Better If) On your post it notes… Think about how you can improve your work. www.mistrymaths.co.uk