We are learning to:- Enhance Mathematical core skills knowledge. (Which PLT skills?) -Calculate the mean from a grouped frequency table. (Grade C)

Always aim high!LESSON OBJECTIVES

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Where are we in our

journey?

Real life cross/curricular

links?AUTHOR

LEARNING JOURNEY

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STARTER

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EXTENSION

TASK1) 2) 3)

4)

51 x 3617793 ÷ 3 First 3 terms of:n - 1

5)

6)

or31

7)

Factorise:x - 9x

8)

Solve:5(x + 2) = 40

9)

Share £39 in the ratio 4:9

Find the product of prime factors of 30.

= 1836= 0, 3, 8

x(x - 9) 5x + 10 = 405x = 30x = 6

4 139

13

of

of

£39

£39

=

=

£12

£27

3 + 4= 27 + 16 = 43

= 5931 2

9 x 41

4= 9

= 21

4

3 2

52

Which is bigger?

=155

156

is bigger2

5

2

MIDPOINT(X)

FX

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PLT Skills Which ones are you using?Mean from a table

POCKET MONEY FREQUENCY (F)

0 < P ≤ 1 2

1 < P ≤ 2 5

2 < P ≤ 3 5

3 < P ≤ 4 9

4 < P ≤ 5 15

EXAMPLEFind the estimate of the mean and modal groupfrom the table below:

x

xxxx

TOTAL = 36

0.5

ESTIMATED MEAN = FX total F total =

120 36

One with highest frequencyMODAL GROUP =

= £3.33

MEAN = FX totalF total

1.52.5

3.5

4.5

17.5

12.531.5

67.5

120

= 4 < P ≤ 5

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Task (Grade C)Mean from a table

1) 2)

3) 4)

Calculate the estimate of the mean and modal group from the table above.

Calculate the estimate of the mean and modal group from the table above.

Calculate the estimate of the mean and modal group from the table above.

Calculate the estimate of the mean and modal group from the table above.

Score Frequency Midpoint fx

1-5 11    

6-10 12    

11-15 15    

16-20 9    

21-25 3    

Total      

Marks Frequency Midpoint fx

10-19 7    

20-29 5    

30-39 8    

40-49 15    

50-59 25    

Total      

Mass Frequency Midpoint fx

50-54 17    

55-59 52    

60-64 36    

65-69 12    

70-74 4    

Total      

Height Frequency Midpoint fx130 ≤h<135 10    135 ≤h<140 15    140 ≤h<145 17    145 ≤h<150 11    150 ≤h<155 2    

Total      

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Task (Grade C)Answers

1) 2)

3) 4)

Score Frequency Midpoint fx

1-5 11 3 336-10 12 8 96

11-15 15 13 19516-20 9 18 16221-25 3 23 69Total 50 Total 555

Marks Frequency Midpoint fx10-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 15 44.5 667.550-59 25 54.5 1362.5Total 60 Total 2530

Mass Frequency Midpoint fx50-54 17 52 88455-59 52 57 296460-64 36 62 223265-69 12 67 80470-74 4 72 288Total 121 Total 7172

Height Frequency Midpoint fx130 ≤h<135 10 132.5 1325135 ≤h<140 15 137.5 2062.5140 ≤h<145 17 142.5 2422.5145 ≤h<150 11 147.5 1622.5150 ≤h<155 2 152.5 305

Total 55 Total 7737.5

Estimated Mean = 555/50=11.1Estimated Mean = 2530/60=42.17

Estimated Mean = 7172/121=59.27 Estimated Mean = 7737.5/55=140.68

Modal Group = 11-15Modal Group = 50-59

Modal Group = 55-59 Modal Group = 140 ≤h<145

DISCOVERY

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LINK BACK TO OBJECTIVES

- Calculate the mean from a grouped frequency table.

What grade are we

working at?

What have you learnt?

In your brain, write or draw everything you can remember about calculating the mean from a grouped frequency table. It can be a skill or a reflection, or something else that might be prominent

in your brain.

Draw your brain

What grade 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

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Plenary Activity

On your post it notes…

Think about how you can improve your

work.

WWW (What Went Well)

EBI (Even Better If)

FREQUENCY POLYGONS1)

2)