Probability: Two Dice 2

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Heathside Schools Mathematics Department Lesson Plan Outline CONFIDENTIAL
Teacher: Mr G Wilson Class: 7MA4 Date: Friday 10-Dec-09
Module/Topic: KS3 / Handling Data / Probability Room: L3 Lesson: 12.35-13.25
Learning Objectives (including AFL)
Success Criteria
  • Understand that though the distribution of scores from the throw of one dice is even, the sum of two dice is not.
Class Management Objectives
  • Achieve quiet and the attention of whole class during the instruction phases.
  • Handle any low-level disruption.
In-Class Support
  • Role of in-class support by others (where applicable): Mr Schofield will be present at this lesson, observing and helping students with their understanding.
Lesson Context (including AFL)
  • Suggestions from SS for this lesson:
  • Run the race at least once again.
    1. Which horses didn't win any races?
    2. Is there a horse that cannot move?
      • Why can't horse #1 move?
    3. Write the results from yesterday on the board
    4. If I want to score a 7 on the dice, what scores do I need on each of the dice to achieve that?
    5. Let's suppose one of my two dice is red, and the other is white.
    6. What scores on the dice will enable me to score a total of 6?
    7. Start filling in the possibility space.
    8. Get them to continue and complete it in their exercise books.
Prior Pupil Knowledge
  • Likelihood scale
  • Toss of coin -- even chances.
  • In some coin toss games, HT is the same as TH.
  • Throw of a dice
  • Outcome of games are affected by the rules.
  • Experience of playing the game twice yesterday.
Resources/Equipment
  • Whiteboard pens
  • EW pen
  • 20 copies of the mental arithmetic test
  • This lesson plan (two hard copies)
  • Whiteboard rubber
  • 10 copies of the racecourse
  • 120 bricks to be used as horses
Provision for EAL/SEN/G&T
  • From experience, we believe that the main material is appropriate for the entire class.
Health and Safety
  • No abnormal risks -- today will be just worksheet and whiteboard.
Named Students with Special Needs
Starter (10 mins)
  • Mental arithmetic test: Qs. 25 to 48 on Page 12 of 10ticks.co.uk Level 4 Pack 5, as per yesterday.
    • Ask them first whether they have a pen or a pencil.
    • Show them an example on the board, e.g.
      • ៛ → +3 → 10
      • ៛ → -4 → 15
    • Tell them they have 3 minutes.
    • But give them 4 minutes to do it.
    • Read out the correct answers.
    • Ask them to write their score at the top of the sheet.
    • Ask them also to open their homework diaries and record their score there too.
    • Ask for a show of hands -- who got a better score than last time? (Nothing to be embarrassed about.)
  • Take the Register.
Development activities (including AFL)
  • Quick recap on yesterday:
  • Playing the Horse Race Game
    • We're going to play a third time. Does anyone need reminding of the rules?
    1. Write the results from yesterday on the board:
      1. 1st Race: 9, 8, 7777, 66, 5
      2. 2nd Race: 10, 7777, 666, 5
    • Ask them to deicde who will win this time, and write it down.
    • Run the race at least once again.
      1. Which horses didn't win any races?
      2. Is there a horse that cannot move?
        • Why can't horse #1 move?
    1. If I want to score a 7 on the dice, what scores do I need on each of the dice to achieve that?
    2. Let's suppose one of my two dice is red, and the other is white.
    3. What scores on the dice will enable me to score a total of 6?
    4. Start filling in the possibility space.
    5. Get them to continue and complete it in their exercise books.
  • Analysing the Horse Race Game
    • Which horses won?
    • What shapes on the board did people get when the horse won?
    • Why? Why does 7 win the most often?
    • Get them started on drawing up a possibility space for the sum of two dice.
    • 7 has the most chances of appearing.
    • Notice that there are 36 different outcomes.
  • Extension (if there is time):
    • Probability (Result) = Number of Outcomes which make the Result happen / Total number of possible Outcomes
Plenary / AFL
  • Ask for comments
  • WWW (what went well?)
  • EBI (even better if...)
  • Announce today's star(s).
  • Hand out certificate.
  • Ensure they hand back the two dice and the 12 cubes (as a 3x2x2 brick).
Cross-curricular links (Literacy, Numeracy, Citizenship, Spirituality, ICT)
Homework
  • None

Register

  • Luke Burchett
  • Christopher Chiu
  • Lewis Collins
  • Lilly Collyer
  • Mitchell Cooper
  • Nina Giambrone
  • Chloe Godfrey
  • Amelia Graves
  • Charlie Higgs
  • Hamish Holroyd
  • Zoe Lacey
  • Luca Metaireau
  • Jack Morriss
  • Chloe Norman
  • Suchawadi Reed
  • Thomas Reed
  • Harry Rogers
  • Callum Roker
  • Alfie Taylor
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