Farm helicopter 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Working with Students Further Resources This task is about the probability of a helicopter landing in an area. A helicopter lands on one of three farms, drawn to scale above. It could be anywhere on this grid. Question a) What farm(s) is the helicopter least likely to have landed on? Harris's farm Tawanui's farm Hurunui's farm Harris's or Hurunui's farm It is just as likely to be on any farm. Question b) What is the chance that it has landed on Tawanui's farm? \(1 \over 10\) \(1 \over 3\) \(1 \over 4\) \(3 \over 8\) \(1 \over 2\) Question c) What is the chance that it has landed on Harris's farm? \(1 \over 15\) \(1 \over 3\) \(1 \over 4\) \(3 \over 8\) \(1 \over 2\) Task administration: This task can be completed online and with pencil and paper. Level: 4 Curriculum info: Maths, Statistics, Probability Keywords: probability, equivalent fractions Description of task: Students determine the probability of events related to a grid map. Curriculum Links: This resource can be used to help to identify students' understanding of ordering outcomes and identifying likelihoods written as fractions. Learning Progression FrameworksThis resource can provide evidence of learning associated with Interpreting statistical and chance situations, sets 4-5 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y8 (11/1997) a) B (Tawanui's farm) easy b) C ( ^{1}⁄_{4}) difficult c) D (^{3}⁄_{8}) difficult Diagnostic and formative information: Common error Likely reason b) B Treats each farm as equally likely, (rather than using the concept of area of a farm). c) B Treats each farm as equally likely, (rather than using the concept of area of a farm). Combinations of ties and socks Spinner for a board game Library books Missing cat Pick an item Speed trap Probability number lines Cup of marbles Fun run prizes Dice combinations III Speed camera Dice combinations IV One dice chances Prize wheel Two coin game Four spinners Prize draw Two dice game IV Target arrows Complementary probabilities People in cars Making spinners Coloured spinner Four dice game I Two dice game II Two dice game I Cups and saucers Throwing a coin Describing probabilities Black and white Coin throws Probability Concept Map