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We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately construct stem and leaf diagrams and work out the.

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Presentation on theme: "We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately construct stem and leaf diagrams and work out the."— Presentation transcript:

1 We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately construct stem and leaf diagrams and work out the mode, median and range. (Level 6) Always aim high! LESSON OBJECTIVES Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? AUTHOR Where are we in our journey? Real life cross/curricular links?

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

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

4 STARTER EXTENSION TASK Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? 1) Solve the equation: Work out the averages and range for: 2, 3, 6, 6, 8 1) Mode = 6 Median = 6 Mean = = 5 Range = = 6 2) Work out the value of b – 4ac when a=2, b=5, c= –4 x 2 x -2 = = 41 3) Reflect the object in the line x = 1 x x x = = = 8 ÷ 4 = 2

5 STEM AND LEAF DIAGRAMS Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? EXAMPLES 1) The speeds of vehicles in 30mph zone are recorded. Below are the results: 42, 28, 35, 23, 32, 27, 29, 42, 35, 31, 35, 27, 39, 37, 33 29, (a) Draw a stem and leaf diagram to represent this data. (b) Work out the mode (c) Work out the median (d) Work out the range (e) What fraction were over the 30mph limit? Smallest = Biggest = Key: 3I5 means 35 Most common 35mph 33mph Biggest - Smallest Eleven were more than 30mph ) 16 children in a class have a competition to find out who sells the most items in one day. Below are the results: 12, 13, 17, 21,24, 25, 25 26, 30, 32 35, (a) Draw a stem and leaf diagram to represent this data. (b) Work out the mode (c) Work out the median (d) Work out the range (e) What fraction sold 30 or more? Smallest = Key: 2I5 means 25 Biggest = Most common No mode 24 Biggest - Smallest Three sold 30 or more 3 16

6 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) STEM AND LEAF DIAGRAMS Write out all the numbers shown in each of the stem and leaf diagrams below: 1) EXTENSION 1 (LEVEL 5) Key: 6I4 means 64 Key:11I5 means 115 Write out all the numbers shown below in the back-to-back stem and leaf diagram for results in a Mathematics test out of 30 for both boys and girls. 2) Girls scoresBoys scores 25, 27, 29, 33,37,38, 41, 42 51, 52, 56, 58, 59, 60, 63, 64, 65, 72, 74, 76, 77 1, 3,4, 12, 14,15,18, 21, 23, 27, 34,36 682, 685, 691, 697, 698, 700, 701, 703, 705, 706, 712, 719 8, 9 10, 15, 16, 18, 19, 19 21, 24, 26, 27, 28,2 5,16,17,18 19,23,25,27,28,29 29 (a) (b)(c) (d) Key: 0I8 means 8

7 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK 2 (LEVEL 6) STEM AND LEAF DIAGRAMS Draw a stem and leaf diagram for the data below: 1) EXTENSION 2 (LEVEL 6) (b) 32, 21, 12, 5,12, 6, 36, 22, 14, 2, 26, 17, 29 (c) 47, 31, 22, 31,25, 40, 44, 36, 27, 29, 36, 39 (d) 77, 85, 92, 72, 84, 76, 89, 76, 85, 67, 61, 75 (a) 5, 23, 31, 2,18, 7, 25, 21, 10, 1, 33, 22, 39 Draw a stem and leaf diagram for the data below: 1) (a) 134, 154, 144, 131, 137, 142, 145, 150, 146, 149 (b) 1261, 1275, 1253, 1255, 1260, 1278, 1257, 1258, 1266, Key: 2I3 means Key: 1I4 means Key: 3I6 means Key: 8I4 means Key: 13I7 means Key: 127I5 means 1275

8 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK 3 (LEVEL 6) STEM AND LEAF DIAGRAMS 1) The pulse rates of 11 teachers are recorded. Below are the results: 71, 65, 78 59, 65, 74, 64, 57, 52,63, 60, (a) Draw a stem and leaf diagram to represent this data. (b) Work out the mode (c) Work out the median (d) Work out the range (e) What fraction were over the pulse rate of 70? 2) The journey times, in minutes, for students on the school bus are shown below: 18, 21, 33,29, 24, 28, 31,30, 32, 19, 24,21, 22, (a) Draw a stem and leaf diagram to represent this data. (b) Work out the mode (c) Work out the median (d) Work out the range (e) What fraction took half an hour or more? Smallest = Biggest = Most common Biggest - Smallest Three were more than Smallest = Biggest = Most common No mode 24 minutes Biggest - Smallest minutes Four were 30 or more 4 15 Key: 6I3 means 63 Key: 2I4 means 24

9 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK 3 (LEVEL 6) STEM AND LEAF DIAGRAMS 3) The number of lates to school in a week are shown below: 16, 26, 25, 13, 14, 30, 32, 25, 15, 24, 19, 8, 11, 7 15, (a) Draw a stem and leaf diagram to represent this data. (b) Work out the mode (c) Work out the median (d) Work out the range (e) What fraction were over 20 lates? 38 4) The number of s received over 10 days are shown below: 23, 5,,18 7, 27,12,16,15, 12 (a) Draw a stem and leaf diagram to represent this data. (b) Work out the mode (c) Work out the median (d) Work out the range (e) What fraction were less than 15? Smallest = 7 38 Biggest = Most common Biggest - Smallest Eight were over 20 lates 8 17 Smallest = 5 27 Biggest = Most common Biggest - Smallest Four were under 15 s 4 10 = 2 5 Key: 2I5 means 25 Key: 1I2 means 12

10 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK 3 (LEVEL 6) STEM AND LEAF DIAGRAMS 5) The number of text messages sent a week by 16 students is shown below: 6, 24, 19, 16, 17, 5, 16, 35, 19, 22,14, 27 32, 16, 23 23, (a) Draw a stem and leaf diagram to represent this data. (b) Work out the mode (c) Work out the median (d) Work out the range (e) What fraction were less the 30 texts? 6) The ages of patients seen by a doctor on a particular day are shown below: 24, 27, 58,12, 47, 51, 48,39, 49, 55, 37, 35 16, 40, 46 38, (a) Draw a stem and leaf diagram to represent this data. (b) Work out the mode (c) Work out the median (d) Work out the range (e) What fraction were not adults?,28,35,56,39 Smallest = 5 35 Biggest = Most common 16 texts 19 texts Biggest - Smallest Fourteen were less than 30 texts = 7 8 Smallest = Biggest = Most common No mode 39 texts Biggest - Smallest Two were children 2 20 = 1 10 Key: 3I2 means 32 Key: 5I5 means 55

11 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? EXTENSION 3 (LEVEL 6) STEM AND LEAF DIAGRAMS 1) The heights (cm) of 11 students is shown below: 144, 126, 147, 136, 145, 152, 135, 158, 134, 121, , (a) Draw a stem and leaf diagram to represent this data. (b) Work out the mode (c) Work out the median (d) Work out the range (e) What fraction were less the 140cm? 2) The heights of plants (mm) in a greenhouse are shown below: 188, 164, 165,172, 159, 146, 168, 166, 151, 140, 177, 163, (a) Draw a stem and leaf diagram to represent this data. (b) Work out the mode (c) Work out the median (d) Work out the range (e) What fraction were more than 1.5m? 172, 154 Smallest = Biggest = Most common 134cm 141cm Biggest - Smallest cm Six were less than 140cm 6 11 Smallest = Biggest = Most common 172mm 164.5mm Biggest - Smallest mm Twelve were more than 1.5m = 6 7 Key: 14I1 means 141 Key: 18I1 means 181

12 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? EXTENSION 4 (LEVEL 6) STEM AND LEAF DIAGRAMS 1) The back-to-back stem and leaf diagram below shows the Mathematics score for the same test for two different classes: Key: 3I2 means 32 Class A Class B Compare the averages and range for both classes. Class A Class B Mode = Median = 32marks 27marks Mean = 19 Mean = 26.9marks (1d.p.) Range = Range =37marks Mode = 13marks Median = 19.5marks Mean = 20 Mean = 20.8marks (1d.p.) Range = Range =38marks

13 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? MINI-PLENARY (SPOT THE MISTAKES) STEM AND LEAF DIAGRAMS Find the mistakes below: 1) 2) Not ordered Median = 3.1 Range = 5.3 – 1.4 Range = 3.9cm Mode = 3.6cm

14 DISCOVERY LINK BACK TO OBJECTIVES - Accurately construct stem and leaf diagrams and work out the mode, median and range. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? What level are we working at?

15 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? PLENARY ACTIVITY STEM AND LEAF DIAGRAMS The following are the results of the final 12 throws in the mens and womens javelin in the 2012 London Olympics. The distances are in metres Men Women Draw a stem and leaf diagram(s) and discuss your findings Men Women Men Mode = 82m Mode = 65m Median = 84m Median = 65m Range = 17m Range = 21m

16 Draw your brain What have you learnt? In your brain, write or draw everything you can remember about constructing stem and leaf diagrams and working out the mode, median and range. It can be a skill or a reflection, or something else that might be prominent in your brain. What level are we working at? Where are we in our journey?

17 . How well do you understand the task? I dont understand I nearly understand I fully understand Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? SELF ASSESSMENT Plenary Activity

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


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