1. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. What are the possible outcomes when I flip two coins? (use a sample space) What are the possible outcomes when I flip two coins? (use a sample space) HT H T Probability of no tails? Probability of getting at least one tails? Probability of getting two tails? Whiteboards

2. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Heads Tails Heads Tails Heads Tails 1 2 1 2 1 2 1 2 1 2 1 2 P(HH) = x = 1 2 1 2 1 4 P(HT) = x = 1 2 1 2 1 4 P(TH) = x = 1 2 1 2 1 4 P(TT) = x = 1 2 1 2 1 4 Coin 1Coin 2 Probabilities on each branch add up to 1 Possible outcomes are shown on the end of the branches Multiply along the branches to work out the probabilities

3. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire: to be able to construct a tree diagram from worded questions. Challenge: to be able to complete and use a tree diagram to solve probability questions. Tree Diagrams

4. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. In the bag you have 6 blue counters and 4 red counters. If you pick one counter and records the colour and put it back. Then picks a second counter and records the colour. What are all the possible outcomes?

5. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Red Blue Red 4 10 4 10 6 10 6 10 6 10 4 10 Pick 1Pick 2 P(RR) = x = 4 10 4 10 16 100 P(RB) = x = 4 10 6 10 24 100 P(BR) = x = 4 10 6 10 24 100 P(BB) = x = 6 10 6 10 36 100

6. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. What is the probability that Mathew gets two Blue counters. What is the probability of at exactly one blue. Complete the tree diagram.

7. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. 4 yellow counters and 3 green counters. If you pick one counter and records the colour and put it back. Then picks a second counter and records the colour. What are all the possible outcomes? Show this in a tree diagram. Whiteboards

8. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Probability of both lights being on red? Can you complete the tree diagram. Whiteboards This tree diagram shows the probability of two sets of traffic lights being on red on a journey to work. 1st set of lights 2nd set of lights Red Not Red Not Red Red Not Red Probability of at least 1 on red.

9. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. What is the probability of me going to the gym on a Saturday? Can you complete the tree diagram. Whiteboards Wake up early Go to the gym Yes No Yes No Yes No

10. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Whiteboards I have 4 different flavoured milkshakes. There are 3 strawberry, 2 banana, 5 mint choc chip and 3 vanilla. If I drink a strawberry or banana milkshake in the morning and a mint or vanilla in the evening. Draw a tree diagram that shows the possible milkshakes I could have in the day.

11. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Individual work Hint: you can convert your probabilities to fractions if you prefer.

12. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Green Pen - Answers

13. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Green Pen - Answers

14. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire: to be able to construct a tree diagram from worded questions. Challenge: to be able to complete and use a tree diagram to solve probability problems.

15. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Challenge 1

16. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Challenge 2

17. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire: to be able to construct a tree diagram from worded questions. Challenge: to be able to complete and use a tree diagram to solve probability problems.

18. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions. Plenary