Scottish Survey of Literacy and Numeracy Support Materials Ideas of chance and uncertainty: First Level Part 2 http://www.educationscotland.gov.uk First Level - Ideas of Chance and Uncertainty Experience and Outcome: MNU 1-22a I can use appropriate vocabulary to describe the likelihood of events occurring, using the knowledge and experiences of myself and others to guide me. Learning Intention What can we do? (developing skills) Success Criteria We can: We are learning to be able to: use our own experience and knowledge to predict the probability of an event/outcome occurring. Predict the likelihood of an event occurring by using evidence from our own experience. Use vocabulary to explain how or why events/outcomes occur. Key Vocabulary: Predictability and uncertainty in events, sometimes, always/certain, probable and never to describe events, Likely / unlikely or possible / impossible to describe the likelihood of event occurring Learning and Teaching Ideas Learners need a range of experiences to help understand when some things are likely to occur and others are not. These experiences develop intuition which will support more formal learning of chance within the next level. Possible contexts/ideas to develop confidence to predict the probability of an event/outcome occurring: Interactive Probability Scales Using rope/chalk create a line/scale with one end labelled likely and the other labelled unlikely unlikely likely Children can be asked a series of questions or be given a statement to consider by the teacher (linked to any topic) and be encouraged to stand on the line/rope based on what they think the answer would be. For example: o Saturday is the day after Sunday o If I go to London I will meet the Queen o If I am the fastest runner in my class then it is likely that I will win the running race on sports day. Probability scales can also be used with card or dice games involving chance such as “Higher or Lower” though it is important that learners are aware of how the suits are ordered e.g. Ace = value of 1 and King = value of 13. “In the playground” (http://nrich.maths.org/7248&part=7248) or “The car that passes” (http://nrich.maths.org/7249&part=7249) http://www.educationscotland.gov.uk o What could you say about the child who is first into the playground at break time? o What can you say about the car that passes the school gates at the end of playtime? The above questions encourage children to work collaboratively to explore a range of possibilities to a posed question which requires them to consider their own experience and environment. Learners will then try to place the statements they come up with on a probability scale. unlikely likely The teacher then extends thinking by asking children to explain their choice and encourage them to draw on examples to support their thinking (Why do you think...?). Learners can be challenged to write their own statement cards or questions for their peers to consider. Using coloured objects (such as pencils/straws/cubes/counters*) Children can count how many of each sort there are, and then observe which item is the most common. The teacher can comment that this means that an individual child is most likely to get a red pencil *, or have the same chance of getting a red pencil as a blue pencil etc.. Having children look at the whole set of pencils will help develop ideas of proportion, as well as absolute numbers. They can see, without counting, that most of the pencils are red and therefore can make predictions of outcomes should the pencils be shared out. Possible questions: Which colour do you think you are most likely to get? What colour do you think you have the same chance of getting? Which colour are you unlikely to get? Children might say “there are a lot more red pencils than blue pencils; there are less blue pencils than red pencils; most of the pencils are red; more of the pencils are red; probably I will get a red pencil”. Further Links: Dept of Education and Early Childhood Development, Victoria, Australia Mathematics Developmental Continuum – First experiences with Chance http://www.education.vic.gov.au/studentlearning/teachingresources/maths/mathscontinuum/mcd/ M12501P.htm NRICH website Search probability for related articles and games for teaching chance and uncertainty http://nrich.maths.org/public/ Interactive dice game – Game of PIG http://nrich.maths.org/1260 http://www.educationscotland.gov.uk