Heathside Schools Mathematics Department Lesson Plan Outline CONFIDENTIAL
| Teacher: Mr G Wilson
| Class: 7MA4
| Date: Thursday 9-Dec-09
|
| Module/Topic: KS3 / Handling Data / Probability
| Room: Y2
| Lesson: 8.45-9.35
|
| 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)
| 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.
|
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
- 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 Probability:
- Probability scale: mark 'impossible' at left end, 'even chance' in middle, 'certain' on right.
- Can anyone remember what numbers apply to each of these points on the scale? (0, 1/2 and 1).
- If I now toss a dice, what is the chance that I get a 3?
- What is the chance I get a 4?
- How many faces does a dice have? 6.
- Is each of the faces equally likely?
- We know that when we toss a dice, we always get a result -- the dice isn't left perched on a corner, for example -- so the probability that we get a face is 1.
- But there are six equally likely faces that could appear, so we have to share that 1 between 6 equally likely outcomes.
- So the probability of getting a particular number with one throw, such as a 3, is 1/6.
- Do you get that?
- But now we're going to play a game with two dice.
- Playing the Horse Race Game
- Who is familiar with board games like Monopoly? That is another game played with two dice.
- For this game, I want you to work in your pairs.
- I am going to give each pair:
- a sheet of paper which is the board,
- 12 cubes which will be the counters you move, and
- 2 dice.
- (Hand out the sheets)
- At the bottom of the sheet, you will see the numbers 1 to 12 and the names of 12 horses.
- I want you to pick the horse you think is going to win, and write down its number.
- Everyone done that?
- Now I am going to give you the cubes which represent each of the 12 horses.
- I want you to arrange those 12 cubes so that they cover each of the 12 numbers.
- Now I'm going to tell you how the horses move:
- Each turn I want you to throw both dice.
- Add the numbers that you see on the two dice.
- That is the horse that is going to move this turn.
- And it's going to move forward one space. OK?
- Then you start the next turn -- i.e. you throw the dice again, and that decides which cube you're going to move one space.
- The game ends when the first horse moves into the top row, called the 'Winners Enclosure'.
- I do not want you to continue the race for 2nd and 3rd.
- I want you to leave all the horses exactly where they are when the first horse wins.
- Play a second time
- Ask them to deicde who will win this time, and write it down.
- 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.
|
Plenary / AFL
- Ask for comments
- WWW (what went well?)
- EBI (even better if...)
- Announce today's star(s).
|
| Cross-curricular links (Literacy, Numeracy, Citizenship, Spirituality, ICT)
|
| Homework
|
