Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner

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Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills LESSON OBJECTIVES Responsible Citizen

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

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills LEARNING JOURNEY Responsible Citizen

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

Positive Thinker Creative Entrepreneur Independent Learner Enterprise Skills BRAIN Reflective Learner IN GEAR Responsible

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

Positive Thinker Independent Learner Creative Entrepreneur STARTER Enterprise Skills TASK 1)Convert to an decimal

Positive Thinker Independent Learner Creative Entrepreneur STARTER Enterprise Skills TASK 1)Convert to an decimal and percentage: = 0. 45 2 X 3 1 (a) + 2) X 7 3 3 = = 6 21 13 21 + 7 21 X 7 = 45% (b) 5 3 ÷ 8 4 = = 5 8 20 24 x = Mode = 3 Median = 3 Mean = =5 Range = 10 - 2 = 8 Responsible Citizen Team Worker Which ones are you using? EXTENSION 1)Work out the volume and surface area of the cuboid below: 4 cm 4 3 5 6 3)Work out the averages and range for: 2, 3, 3, 7, 10 Reflective Learner 2 cm 5 cm Volume of a cuboid = l x w x h Volume of a cuboid = 5 x 2 x 4 Volume of a cuboid = 40 cm 3 Surface Area = 2 lw + 2 hw + 2 lh Surface Area = 2 x 5 x 2 + 2 x 4 x 2 + 2 x 5 x 4 Surface Area = 20 + 16 + 40 Surface Area = 76 cm 2

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones

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

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you using? CHOOSING AN APPROPRIATE STATISTICAL DIAGRAM Enterprise Skills. STATISTICAL DIAGRAMS DISCRETE DATA CONTINUOUS 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

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS BAR CHART

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS BAR CHART Responsible Citizen Team Worker Which ones are you using? 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.

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS HISTOGRAM Responsible

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS HISTOGRAM Responsible Citizen Team Worker Which ones are you using? 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.

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS PICTOGRAM Responsible

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS PICTOGRAM Responsible Citizen Team Worker Which ones are you using? 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.

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS PIE CHART

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS PIE CHART Responsible Citizen Team Worker Which ones are you using? 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 a large number of categories, or where each has a small, fairly equal share, as this can be unclear.

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS TASK (LEVEL

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS TASK (LEVEL 5) – CAROUSEL ACTIVITY Responsible Citizen Team Worker Which ones are you using? 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 3 30 Bus End

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS TASK (LEVEL

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS TASK (LEVEL 5) – CAROUSEL ACTIVITY Responsible Citizen Team Worker Which ones are you using? 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

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS TASK (LEVEL

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS TASK (LEVEL 5) – CAROUSEL ACTIVITY Responsible Citizen Team Worker Which ones are you using? 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% Green and Purple 10 End Shows all the information in one bar and consumes little space

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS TASK (LEVEL

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS TASK (LEVEL 5) – CAROUSEL ACTIVITY Responsible Citizen Team Worker Which ones are you using? 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 -80 marks 15 61 & 99 End Middle of the group range

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS TASK (LEVEL

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS TASK (LEVEL 5) – CAROUSEL ACTIVITY Responsible Citizen Team Worker Which ones are you using? 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 ITV Channel 5 End Sky 1 Around 20

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS TASK (LEVEL

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS TASK (LEVEL 5) – CAROUSEL ACTIVITY Responsible Citizen Team Worker Which ones are you using? 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 15°C 17°C 9°C End Shows the trend approximate temperature at any time can be read off.

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS EXTENSION (LEVEL

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. STATISTICAL DIAGRAMS EXTENSION (LEVEL 6) Responsible Citizen Team Worker Which ones are you using? 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?

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you MINI PLENARY ACTIVITY – COMPANY ACCOUNTS using? Enterprise Skills. STATISTICAL DIAGRAMS 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.

Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner DISCOVERY Responsible Citizen Team

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

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones

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

What have you learnt? Draw your brain In your brain, write or draw everything

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. Where are we in our journey? What level are we working at?

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones

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

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. SELF ASSESSMENT Plenary Activity

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