Scottish Survey of Literacy and Numeracy Support Materials Ideas of chance and uncertainty: First Level Part 3 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 do we realise? (building awareness and understanding) Success Criteria We can: decide on the probability of an event occurring by listing the variables to make an informed decision. We are learning to be aware of: the concept of probability and how this can affect o events from taking place o our judgements when we make decisions o how we predict outcomes We are learning to: interpret and sort 2 sets of information to determine the probability of an event/outcome occurring. use our own ideas/experiences to make informed decisions about chance. give reasons why events are more/less likely to happen. Use our experience and knowledge to explain reasons for choices and inform our opinions. Sort information provided to an organised list to inform our decisions and predict the most likely outcome. 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 Which of these statements is most likely? Use a bank of statements/pictures/vocabulary (depending on the topic/age/stage) to allow children the opportunity to explore a context and decide upon the most likely outcome. For example: o What is the most likely thing you will find in a rock pool at the beach? A penny, a shell, a crab or a mermaid Statements can also be used to help children explore a list of events/outcomes and decide on the order of probability starting from the most and/or least likely. What’s in the bag? Show children a bag/box which has 2 red, 2 blue, 1 white, 1 yellow and 1 green cube/ball/card in it. Get the children to experiment by shaking the bag/box and then drawing out one coloured object without looking. Ask the children to make predictions for what they think the colour will be. Which colour is most/least likely to be picked? What information do they have to base their decision on? Extend the children’s thinking by giving them each a set of cards with 4 out of the 5 colours as a possible choice (omit one of the colours with 2 in the bag e.g omit blue which will leave red as the only other colour that has 2) Tell them that you are going to draw a ball out without looking and that you want them to predict what colour they think it will be by holding up one of their cards. Children http://www.educationscotland.gov.uk will now have to consider which colour is most likely to be drawn based on both colour and the number of objects. Discuss how children made their selection for example: How likely is it that I will select red? Exploring chance when outcomes are likely/unlikely to happen but not certain/impossible Provide children with opportunities to explore questions/experiments which involve outcomes which are likely to happen but are not certain. Board games are a good context to explore the idea of an outcome being likely to happen but not certain as the children are able to play the game for themselves and then have the experience to support their decisions. For example: o Snakes and Ladders. Give children the board game and pose the following to the group; You are 2 away from a ladder and 5 away from a snake, are both of these outcomes possible in your next throw? Is one more likely than the other? Once children have given answers, discuss HOW they decided. The board games ‘Cluedo’ and ‘Guess who’ are good for developing the idea of likely outcomes though not certain based on questioning and reasoning. Numeracy across learning Health and wellbeing This is a good context for looking at personal safety and beginning to explore risk with children. It is also a context where they are able to draw on their own experience to help make decisions. For example: o What are the chances of you getting knocked over by a car if you do not use the zebra crossing when walking to school? A – certain B – likely C – possible D – Impossible http://www.educationscotland.gov.uk Information Handling as a vehicle to discuss probability Exploring data handling by creating graphs, tables and charts is a great vehicle for children to extend their knowledge of predicting outcomes on a subject by interpreting the information available to them and drawing conclusions. The ‘Topmarks’ website (http://www.topmarks.co.uk/Interactive.aspx?cat=28) has lots of interactive data handling activities which can be used with your class to discuss probability. Further Links: BBC Numbertime – Interactive Snakes & Ladders which could be used on the SMARtboard. http://www.bbc.co.uk/schools/numbertime/games/snakes.shtml Woodlands Junior Primary School Interactive maths zone – data handling http://www.woodlands-junior.kent.sch.uk/maths/data.htm#prob Create a graph http://nces.ed.gov/nceskids/createagraph/ http://www.educationscotland.gov.uk