Probability in Functional Maths Curriculum

 
L1-2 Functional Maths – Probability
 
 
Reformed Functional Maths curriculum links:
Level 1
L1.30 Understand probability on a scale from 0
(impossible) to 1 (certain) and use probabilities to
compare the likelihood of events
L1.31 Use equally likely outcomes to find the probabilities
of simple events and express them as fractions
Level 2
L2.26 Work out the probability of combined events
including the use of diagrams and tables, including two-
way tables 
(not covered)
L2.27 Express probabilities as fractions, decimals and
percentages
 
The bigger probability
Probability
 
Easy
Draw this probability line & write these words in the correct positions:
 
 
evens
  
likely
  
impossible
  
certain
  
unlikely
?
?
?
?
?
 
Medium
Simplify the fractions: 
 
24/36
   
63/72
   
150/175
 
Hard (no calculator)
360 people go to the cinema. 240 of them order popcorn. What percentage of people order
popcorn? Give your answer to the nearest whole number. Where would this be placed on
the probability line above?
Probability
Easy
Draw this probability line & write these words in the correct positions:
 
evens
  
likely
  
impossible
  
certain
  
unlikely
impossible
unlikely
evens
certain
likely
Medium
Simplify the fractions: 
 
24/36
   
63/72
   
150/175
Hard (no calculator)
360 people go to the cinema. 240 of them order popcorn. What percentage of people order
popcorn? Give your answer to the nearest whole number. Where would this be placed on
the probability line above?
 
2/3
 
7/8
 
6/7
 
67%
 
67%
 
Objectives
 
1.
Calculate the probability of events happening.
 
2.
Label events as 
impossible, likely, 
etc.
 
3.
Display probability of events on a number line
Task 1. Calculate the probability of events happening
1.
2 marks
2.
1 mark
3.
1 mark
4.
2 marks
5.
3 marks (3
alternative
answers)
6.
2 marks
7.
2 marks
8.
1 mark
9.
A) 2 marks, B) 2 marks,
C) 2 marks, D) 2 marks
10.
A) 2 marks, B) 2marks,
C) 1 mark
Total marks available = 27
Extension Question
Challenge – include the
skill of simplifying the
fraction for part A and D
Impossible
Unlikely
Evens
Certain
Likely
 
Task 2. Label these events as 
impossible, likely, 
etc.
Extension
Write another event that you could place under each word on the probability line.
 
The sun setting this evening – Picking a £1 coin from a bag that contains only £2 coins – Rain
in June in the UK –  Snow in June in England –  Throwing an even number on a standard die
 
3.
Display probability of events on a number line
Extension
Write these fractions in their approximate places on the line:    1/5,      8/10,      12/24,      3/3
 
The bigger probability
 
Getting heads when flicking a coin
 
It will be Sunday tomorrow
 
Rolling a number less than 5 on a dice
 
6 people out of 24 pass a test
 
There are 60 seconds in a minute
 
In a bowl of 10 fruit there are 2 apples
The end of our session…
 
100% 
Slide Note

July 2020. Kindly contributed to www.skillsworkshop.org by Mark Sergison, Dudley College.

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Explore probability concepts in functional maths, such as understanding probability scales, comparing likelihood of events, calculating probabilities of simple and combined events, and expressing probabilities as fractions, decimals, and percentages. Practice drawing probability lines, simplifying fractions, and determining the likelihood of events happening. Improve skills in labeling events as impossible, likely, etc., and display probabilities on number lines.

  • Probability
  • Maths
  • Functional
  • Curriculum
  • Education

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  1. Description: swlogo L1-2 Functional Maths Probability Reformed Functional Maths curriculum links: Level 1 L1.30 Understand probability on a scale from 0 (impossible) to 1 (certain) and use probabilities to compare the likelihood of events L1.31 Use equally likely outcomes to find the probabilities of simple events and express them as fractions Level 2 L2.26 Work out the probability of combined events including the use of diagrams and tables, including two- way tables (not covered) L2.27 Express probabilities as fractions, decimals and percentages July 2020. Kindly contributed by Mark Sergison, Dudley College. Search for Mark on www.skillsworkshop.org Please refer to the download page for this resource on skillsworkshop for detailed curriculum links and related resources (including a link to PDF worksheet used on slide 5). Note that slide 5 of this PPT refers to the questions on this skillsworkshop worksheet written by Nick Worsley(2018) https://www.skillsworkshop.org/resources/independent_events_l2_probability This PPT includes animations (pop up answers) and should be run full screen. For further guidance, teachers should also refer to the notes area under some of the slides.

  2. Probability Easy Draw this probability line & write these words in the correct positions: evens likely impossible certain unlikely The bigger probability ? ? ? ? ? Medium Simplify the fractions: 24/36 63/72 150/175 Hard (no calculator) 360 people go to the cinema. 240 of them order popcorn. What percentage of people order popcorn? Give your answer to the nearest whole number. Where would this be placed on the probability line above?

  3. Probability Easy Draw this probability line & write these words in the correct positions: evens likely impossible certain unlikely unlikely likely certain impossible evens 67% Medium Simplify the fractions: 24/36 2/3 63/72 7/8 150/175 6/7 Hard (no calculator) 360 people go to the cinema. 240 of them order popcorn. What percentage of people order popcorn? Give your answer to the nearest whole number. Where would this be placed on the probability line above? 67%

  4. Objectives 1. Calculate the probability of events happening. 2. Label events as impossible, likely, etc. 3. Display probability of events on a number line

  5. Task 1. Calculate the probability of events happening 1. 2 marks 6. 2 marks 2. 1 mark 7. 2 marks 3. 1 mark 8. 1 mark Total marks available = 27 4. 2 marks 9. A) 2 marks, B) 2 marks, C) 2 marks, D) 2 marks Extension Question Challenge include the skill of simplifying the fraction for part A and D 5. 3 marks (3 alternative answers) 10.A) 2 marks, B) 2marks, C) 1 mark

  6. Task 2. Label these events as impossible, likely, etc. The sun setting this evening Picking a 1 coin from a bag that contains only 2 coins Rain in June in the UK Snow in June in England Throwing an even number on a standard die Certain Impossible Unlikely Likely Evens Extension Write another event that you could place under each word on the probability line.

  7. 3. Display probability of events on a number line The bigger probability Getting heads when flicking a coin 6 people out of 24 pass a test It will be Sunday tomorrow There are 60 seconds in a minute Rolling a number less than 5 on a dice In a bowl of 10 fruit there are 2 apples Extension Write these fractions in their approximate places on the line: 1/5, 8/10, 12/24, 3/3

  8. The end of our session100%

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