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

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 SkillsWhich ones are you

using?

AUTHORWhere are we in

our journey?

Real life cross/curricular

links?www.mistrymaths.co.uk

http://www.mistrymaths.co.uk/

LEARNING JOURNEY


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

BRAIN IN GEAR


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


Work out the following Mathematical anagrams:

TASK

EXTENSION

Develop your own Mathematical anagrams as above as a creative entrepreneur.

AROMND

SATCEMTIYS

SINGLAMP

EXAMPLEDITDIONA can be rearranged to make ADDITION

Random

Systematic

Sampling

STARTER

TASK


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


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

70

= 4 - 12= - 8

x5

x5

15

x4

x4

4= 10x + 45y

= 8.8= 1 = 20

10% = 30km 5% = 15km 1% = 3km16% = 48km

= 3g - y 7x - 14 = 14+ 14 + 14

7x = 28÷ 7 ÷ 7 x = 4EXTENSION

Expand and simplify: 4(3 + g) + 3(3 + 2g)= 12 + 4g+

9 + 6g = 10g + 21

STRATIFIED SAMPLING


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


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

STRATIFIED SAMPLING


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 children’s athletic club has 300 members. The table shows the number of members in each age group.

Under 11yrs 11-12 yrs 13-14 yrs 15yrs and over

45 78 96 81

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


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


TASK (GRADE A)

STRATIFIED SAMPLING

1)

2)

TOTAL = 591

Year 11s = x 150 = 32.0 Year 11s for sample = 32


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


TASK (GRADE A)

STRATIFIED SAMPLING

3)

4)


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


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 toensure an unbiased sample. (1 mark)

1)

DISCOVERY

LINK BACK TO OBJECTIVES

- Accurately find a stratified sample from a table.


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


What grade are we

working at?

STRATIFIED SAMPLING


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 don’t understand

I nearly understand

I fully understand


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


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.

WWW (What Went Well)

EBI (Even Better If)


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


www.mistrymaths.co.uk


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

Documents

stratified sample

unbiased sample

mathematical learning

marks random sampling

task grade

age group

different sampling techniques

main methods of sampling