# We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately find a stratified sample from a table. (Grade A)

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We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately find a stratified sample from a table. (Grade A) 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? www.mistrymaths.co.uk

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

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. AROMND SATCEMTIYS SINGLAMP EXAMPLE DITDIONA can be rearranged to make ADDITION Random Systematic Sampling

STARTER TASK Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? 1) 2) 3) 4) Work out: 4 - 4 x 3 Expand 5(2x + 9y) Round 8.84 to 1d.p. 5) Calculate 6) Find the LCM of 4 and 5 7) 16% of 300km 8) Simplify: 5y + 6g – 6y – 3g 9) Solve: 7(x - 2) = 14 3 4 - 1 5 7 0 = 4 - 12 = - 8 x5 15 x4 4 = 10x + 45y = 8.8 = 1= 20 10% = 30km 5% = 15km 1% = 3km 16% = 48km = 3g- y 7x- 14 = 14 + 14 7x= 28 ÷ 7 x= 4 EXTENSION Expand and simplify: 4(3 + g) + 3(3 + 2g) = 12 + 4g+ 9 + 6g = 10g + 21

STRATIFIED SAMPLING Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills 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 SAMPLINGSYSTEMATIC SAMPLINGSTRATIFIED SAMPLING

Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? EXAMPLE (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. (b) A childrens athletic club has 300 members. The table shows the number of members in each age group. Under 11yrs11-12 yrs13-14 yrs15yrs and over 45789681 Ciaran wants a stratified sample of 25 members. Calculate the number of members that he should choose from each age group. (1 mark) (3 marks) Random Sampling Total = 300 Under 11yrs = x 25 = 3.75 11 - 12yrs = x 25 = 6.5 13 - 14yrs = x 25 = 8 15yrs and over = x 25 = 6.75 Under 11yrs = 4 11 - 12yrs = 6 13 - 14yrs = 8 15yrs and over = 7 Sample must be whole numbers and add to make 25

Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK (GRADE A) STRATIFIED SAMPLING 1) 2) TOTAL = 591 Year 11s = x 150 = 32.0 Year 11s for sample = 32

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

Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? EXTENSION EXAM QUESTION (GRADE A) STRATIFIED SAMPLING 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) 1)

DISCOVERY LINK BACK TO OBJECTIVES - Accurately find a stratified sample from a table. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? What grade are we working at?

STRATIFIED SAMPLING Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? PLENARY ACTIVITY – CROSS CURRICULAR (OLYMPICS) The table shows the number of people in each age group who watched a synchronised swimming event. A survey uses a stratified sample of 50 spectators. Work out the number from each age group in the sample. Total = 900 0 - 16yrs = x 50 = 4.8 17 - 29yrs = x 50 = 6.8 30 - 44yrs = x 50 = 20.2 45 - 59yrs = x 50 = 15.2 60+yrs = x 50 = 2.9 Sample must be whole numbers and add to make 50 0 - 16yrs = 5 17 - 29yrs = 7 30 - 44yrs = 20 45 - 59yrs = 15 45 - 59yrs = 3

Draw your brain What have you learnt? 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. What grade are we working at? Where are we in our journey?

. 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 www.mistrymaths.co.uk

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? www.mistrymaths.co.uk

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