Enhancing Mathematical Learning Skills with Enterprise Skills

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 calculate the mean from an ungrouped frequency table. (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 24 3 19 4 1 6 4 10 63 63 3 30 10 63 5 4 7 9 = 0.32 = 32% 8 X 7 X 9 2) (b) (a) - ÷ 25 X 9 3cm X 7 28 9 = = 1cm 4cm = = = Volume of a cuboid = l x w x h Volume of a cuboid = 4 x 1 x 3 3) Work out the averages and range for: 2, 3, 5, 7, 13 Surface Area = 2lw + 2hw + 2lh 3 Volume of a cuboid = 12cm No mode 6 4 Mode = Surface Area = 2 x 4 x 1 + 2 x 3 x 1 2 x 4 x 3 + 5 Median = Surface Area = 24 8 + 6 + 2 38cm Surface Area = Mean = = 6 Range = 13 - 2 = 11

5. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen MEAN FROM A TABLE Enterprise Skills Which ones are you using? INTRODUCTION WHAT DOES THIS TABLE TELL US? Number of candy bars students brought to school the day after Halloween 1 student brought 0 candy bars to school 1 student brought 1 candy bar to school 1 student brought 2 candy bars to school 1 student brought 7 candy bars to school 0 1 3 3 3 5 5 5 5 6 6 8 8 4 4 4 4 4 2 7 4.35 candy bars MEAN = = 87 20

6. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen MEAN FROM A TABLE Enterprise Skills Which ones are you using? EXAMPLES 1) Work out the mean from the frequency tables below: (a) (b) fx x TOTAL x x x x x x 6 x 20 20 x 4 5 26 6 fx 6 0 5 15 x 12 26 x 1.3 = = 10 20 x 6 27 TOTAL = 69 69 2.6 (1d.p) = = 27

7. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen MEAN FROM A TABLE Enterprise Skills Which ones are you using? TASK (LEVEL 5) 1) Work out the mean from the frequency tables below: (a) (b) fx TOTAL x x x x x x 3 20 x 8 39 fx 0 12 2 21 4 x 6 x 39 4 1.95 = = 21 20 10 TOTAL = 21 2.1 = = 10 (c) (d) TOTAL fx x x x x x x x 30 14 x 72 70 fx 77 91 32 387 52 45 x 129 387 x 48 12.9 = = x 30 20 x 6 269 100 TOTAL = 269 2.69 = = 100

8. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen MEAN FROM A TABLE Enterprise Skills Which ones are you using? EXTENSION (LEVEL 5) 1) Work out the value of the ? from the frequency tables below: (a) (b) TOTAL = fx x x x x x x x 4 2 16 + ? x 0 ? 8 10 fx 4 6 24 + ? 4 10 x ? 2 6 MEAN = 1.6 x 4 8 + ? TOTAL = 16 + ? MEAN = 2.2

9. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen MEAN FROM A TABLE Enterprise Skills Which ones are you using? MINI PLENARY ACTIVITY – SPOT THE MISTAKE TASK Find the mistakes and explain what this student has done wrong. 30 1.9 (1d.p) = = 56 56 30 TOTAL =

10. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen • LINK BACK TO OBJECTIVES • Accurately calculate the mean from an ungrouped frequency table. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

11. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen MEAN FROM A TABLE Enterprise Skills Which ones are you using? PLENARY ACTIVITY – MEAN FROM A DIAGRAM A group of people were asked to estimate the amount of TV they watched last night. They were asked to give their estimate to the nearest hour. This bar chart shows the results. TASK Work out the mean amount of TV watched fx x 4 1 4 x 8 2 16 x 12 3 36 x 10 4 40 x 7 5 35 x 6 6 36 x 3 21 7 x 2 8 16 x 1 9 9 53 213 TOTAL = 213 4.0 (1d.p) = = 53

12. 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 calculating the mean from an ungrouped table. It can be a skill or a reflection, or something else that might be prominent in your brain.

13. 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

14. 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