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 find a stratified sample from a table. (Grade A) 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: AROMND Random SATCEMTIYS Systematic SINGLAMP Sampling EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur.

Positive Thinker Creative Entrepreneur STARTER Enterprise Skills TASK 1) Work out: 4 - 4

Positive Thinker Creative Entrepreneur STARTER Enterprise Skills TASK 1) Work out: 4 - 4 x 3 Independent Learner 3 x 5 1 x 4 4 x 5 5 x 4 15 4 2) - Reflective Learner Responsible Citizen Team Worker Which ones are you using? 3) Expand 5(2 x + 9 y) = 10 x + 45 y = 4 - 12 =-8 4) Round 8. 84 to 5) Calculate 70 6) Find the LCM of 4 and 5 1 d. p. =1 = 20 = 8. 8 9) Solve: 7) 16% of 300 km 8) Simplify: 10% = 30 km 7(x - 2) = 14 5 y + 6 g – 6 y – 3 g 5% = 15 km 7 x - 14 = 3 g y 1% = 3 km + 14 16% = 48 km 7 x = 28 EXTENSION Expand simplify: 4(3 + g) + 3(3 + 2 g) = 12 + 4 g + 9 + 6 g = 10 g + 21 ÷ 7 x ÷ 7 =4

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills STRATIFIED SAMPLING Responsible Citizen

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills STRATIFIED SAMPLING Responsible Citizen Team Worker Which ones are you using? DIFFERENT SAMPLING TECHNIQUES Listed below are the 3 main methods of sampling. Explain in your own words what you think each one is. RANDOM SAMPLING SYSTEMATIC SAMPLING STRATIFIED SAMPLING

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills STRATIFIED SAMPLING EXAMPLE Responsible

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills STRATIFIED SAMPLING EXAMPLE Responsible Citizen Team Worker Which ones are you using? (a) Jo wants to choose 10 children from a group of 100 children. She puts all their names in a hat and picks out 10 names. Write down the type of sampling method Jo is using. Random Sampling (1 mark) (b) A children’s athletic club has 300 members. The table shows the number of members in each age group. Under 11 yrs 11 -12 yrs 13 -14 yrs 15 yrs and over 45 78 96 81 Total = 300 Ciaran wants a stratified sample of 25 members. Calculate the number of members that he should choose from each age group. Under 11 yrs = 4 x 25 = 3. 75 Under 11 yrs = x 25 = 6. 5 11 - 12 yrs = x 25 = 8 13 - 14 yrs = 15 yrs and over = 11 - 12 yrs = 6 Sample must be whole numbers and add to make 25 13 - 14 yrs = 8 x 25 = 6. 75 15 yrs and over = 7 (3 marks)

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills STRATIFIED SAMPLING TASK (GRADE

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills STRATIFIED SAMPLING TASK (GRADE A) 1) Responsible Citizen Team Worker Which ones are you using? TOTAL = 591 Year 11 s = 2) x 150 = 32. 0 Year 11 s for sample = 32

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills STRATIFIED SAMPLING TASK (GRADE

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills STRATIFIED SAMPLING TASK (GRADE A) 3) 4) Responsible Citizen Team Worker Which ones are you using?

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills STRATIFIED SAMPLING EXTENSION EXAM

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills STRATIFIED SAMPLING EXTENSION EXAM QUESTION (GRADE A) Responsible Citizen Team Worker Which ones are you using? 1)The government wants to survey students studying science at University about their views on becoming teachers. They decide to survey science students at Surrey University. 2371 students do science at Surrey University. The cumulative percentage table of students doing each science is: (a) The government decide to do a 10% stratified sample. Write down the numbers from each category that they should sample. (3 marks) (b) Give one other factor they should take into account when selecting the sample to ensure an unbiased sample. (1 mark)

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 find a stratified sample from a table. What grade are we working at?

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

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Team Worker Responsible Citizen Which ones are you Enterprise Skills STRATIFIED SAMPLING using? PLENARY ACTIVITY – CROSS CURRICULAR (OLYMPICS) The table shows the number of people in each age group who watched a synchronised swimming event. Total = 900 A survey uses a stratified sample of 50 spectators. Work out the number from each age group in the sample. 0 - 16 yrs = 17 - 29 yrs = 30 - 44 yrs = 45 - 59 yrs = 60+yrs = x 50 = 4. 8 0 - 16 yrs = 5 x 50 = 6. 8 17 - 29 yrs = 7 x 50 = 20. 2 Sample must be whole numbers and add to make 50 30 - 44 yrs = 20 x 50 = 15. 2 45 - 59 yrs = 15 x 50 = 2. 9 45 - 59 yrs = 3

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 stratified sampling. 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 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?