Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner

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 calculate the mean from an ungrouped frequency table. (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 Team Worker Which ones are you using?

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 STARTER Enterprise Skills TASK 1)Convert Independent Learner Creative Entrepreneur 8 25 to an decimal and percentage: = 0. 32 4 X -7 1 (a) 2) 9 X 7 7 = = 28 63 19 63 - 9 63 X 9 = 32% (b) 6 3 ÷ 10 4 = = 6 10 24 30 x = Mode = No mode Median = 5 Mean = =6 Range = 13 - 2 = 11 Responsible Citizen Team Worker Which ones are you using? EXTENSION 1)Work out the volume and surface area of the cuboid below: 3 cm 4 3 4 5 3)Work out the averages and range for: 2, 3, 5, 7, 13 Reflective Learner 1 cm 4 cm Volume of a cuboid = l x w x h Volume of a cuboid = 4 x 1 x 3 Volume of a cuboid = 12 cm 3 Surface Area = 2 lw + 2 hw + 2 lh Surface Area = 2 x 4 x 1 + 2 x 3 x 1 + 2 x 4 x 3 Surface Area = 8 + 6 + 24 Surface Area = 38 cm 2

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. MEAN FROM A TABLE INTRODUCTION Responsible Citizen Team Worker Which ones are you using? Number of candy bars students brought WHAT DOES THIS TABLE TELL US? 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 2 3 3 34 4 45 5 5 56 6 7 8 8 MEAN = = 87 4. 35 20 candy bars

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. MEAN FROM A TABLE Responsible Citizen Team Worker Which ones are you using? EXAMPLES 1) Work out the mean from the frequency tables below: (a) (b) fx x 6 x x x x 20 fx 0 5 6 6 4 5 x 12 26 x 10 = = 1. 3 20 x 6 TOTAL = 27 69 = = 27 69 2. 6 (1 d. p) TOTAL 20 26

Positive Thinker Independent Learner Creative Entrepreneur Reflective Learner Team Worker Responsible Citizen Which ones are you Enterprise Skills. MEAN FROM A TABLE using? TASK (LEVEL 5) 1) Work out the mean from the frequency tables below: (a) fx 3 8 6 4 x x = (c) x x x 21 = 2. 1 10 fx 14 52 129 48 20 6 269 100 TOTAL = = 269 fx = 2. 69 x x x 0 4 2 12 21 = 21 10 TOTAL = (b) (d) TOTAL 77 72 91 70 45 32 = 39 39 = 1. 95 20 x x x fx 20 387 = 12. 9 30 TOTAL 30 387

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you Enterprise Skills. MEAN FROM A TABLE using? EXTENSION (LEVEL 5) 1) Work out the value of the ? from the frequency tables below: (a) Lates to lesson 1 2 3 4 TOTAL = Frequency x x fx (b) 2 2 5 ? 2 10 ? 6 1 4 8+? MEAN = 2. 2 16 + ? No. of warnings 0 1 2 3 Frequency x 7 x x x 4 ? 4 2 1 fx 0 4 ? 8 6 4 10 24 + ? MEAN = 1. 6 4 5 TOTAL = 2 16 + ?

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you Enterprise Skills. MEAN FROM A TABLE MINI PLENARY ACTIVITY – SPOT THE MISTAKE using? Number Frequency of times told off 0 12 fx TASK Find the mistakes and explain what this student has done wrong. 12 1 4 5 2 6 12 3 5 15 4 2 6 5 1 6 TOTAL = 30 56 = 30 = 1. 9 56 (1 d. p)

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 calculate the mean from an ungrouped frequency table. What level are we working at?

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you Enterprise Skills. MEAN FROM A TABLE PLENARY ACTIVITY – MEAN FROM A DIAGRAM using? 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 1 2 3 4 5 6 7 8 9 TOTAL = x x x x x 4 8 12 10 7 6 3 2 1 53 = 4 16 36 40 35 36 21 16 9 213 = 4. 0 (1 d. p) 53

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. 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 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 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?