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Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? PLT Skills LESSON OBJECTIVES Always aim high! We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) - Accurately draw box and whisker plots. (Grade B) Where are we in our journey? AUTHOR www.mistrymaths.co.uk Real life cross/curricular links? Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner LEARNING JOURNEY Self Manager Team Worker Which ones are you using? Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner STARTER Self Manager Team Worker Which ones are you using? TASK th 1) Find the n term 2) First 3 terms of: of: 5, 8, 11, 14,.. n2 + 50 = 3n + 2 = 51, 54, 59 4) Solve: 5) Estimate: 10.132 4(x + 3) = 20 0.496 x=2 = 200 3) Expand w(w – 4) = w² - 4w 6) Find 5 8 of 2 days = 30 hours 7) Factorise: 8) Simplify: 9) Write in 8t + 24 = 8(t + 3) 4a – 2b – 6a – 3b = -2a – 5b standard form: 7240000 6 = 7.24 x 10 EXTENSION How many seconds in one day? = 86400 Creative Thinker Effective Participator Independent Enquirer Reflective Learner PLT Skills BOX AND WHISKER PLOTS Self Manager Which ones are you using? EXAMPLES 1) Draw a box and whisker plot for the data below: 6, 8, 15, Order Data → 3, 4, 4, 6, LQ = 4 3 4 5 6 3, 7 4, 8, 10, 8, 8, 8, Median = 8 8 9 9, 9, 8, 10, 10, 10, 4 15 UQ = 10 10 11 Team Worker 12 13 14 15 Creative Thinker Effective Participator Independent Enquirer Reflective Learner PLT Skills BOX AND WHISKER PLOTS Self Manager Which ones are you using? EXAMPLES 2) Draw a box and whisker plot for the data below: 6, 8, 5, 4, 4, 8, 9, 12, Order Data → 4, 4, 5, 6, 8, 8, 8, LQ = 5.5 4 5 6 Median = 8 7 8 9 9, 9, Team Worker 10, 9, 8 9, 9, 10, 12 UQ = 9 10 11 12 BOX AND WHISKER PLOTS TASK (GRADE B) 1) A box and whisker plot was made for some data. Find the median, lower quartile, upper quartile, the minimum, the maximum and range for the data. Minimum = 35 LQ = 42 Median = 49 UQ = 54 Maximum = 57 2) Make a box plot for the following sets of data: (a) Initial weights (February) of 14 women in a weight loss study (in pounds): 189 176 186 200 204 188 175 179 188 190 199 194 187 195 (b) Weights of the same women one month later (March): 186 172 180 190 195 179 173 177 180 187 187 190 184 190 (c) Weights of the same women two months later (April): 180 166 175 183 189 177 170 171 170 184 188 182 180 185 Creative Thinker Effective Participator Independent Enquirer Reflective Learner PLT Skills BOX AND WHISKER PLOTS EXTENSION (GRADE B) Self Manager Team Worker Which ones are you using? 1)Compare the data in question 2 (a) and (c) from the task. (a) How did the median change? (b) How did the maximum weight change? (c) How did the minimum weight change? (d) How did the range change? (e) How would you judge the effectiveness of the weight loss method used in the study? 2) The box and whisker plots below show car sales of two car salespersons. They have each recorded the number of sales made each month, over the past 12 months. (a) Make 3 comments about Carl’s sales figures compared to Angela’s sales figures. (b) From looking at the box and whisker plots, who do you think is the best car salesperson, and why? Creative Thinker PLT Skills Effective Participator Independent Enquirer DISCOVERY Reflective Learner Self Manager Team Worker Which ones are you using? LINK BACK TO OBJECTIVES - Accurately draw box and whisker plots. What grade are we working at? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills BOX AND WHISKER PLOTS Which ones are you using? PLENARY ACTIVITY – TREASURE HUNT Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills BOX AND WHISKER PLOTS Which ones are you using? PLENARY ACTIVITY – TREASURE HUNT Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills BOX AND WHISKER PLOTS Which ones are you using? PLENARY ACTIVITY – TREASURE HUNT What have you learnt? Draw your brain In your brain, write or draw everything you can remember about accurately drawing box and whisker plots. 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 grade are we working at? Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills SELF ASSESSMENT Which ones are you using? Plenary 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 Responsible Citizen Team Worker Enterprise Skills SELF ASSESSMENT 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