For throwing events, determine distances of or between, and bearings, of attempts, and explain whether a particular attempt of a particular distance and bearing is a fair or foul attempt. Determine how much further a distance runner will travel if they are forced to run at least a metre outside the ideal line for a specified number of laps. For sailing events, the race officer will need to set a particular course depending on the direction of the wind. Draw an accurate scale diagram of a sailing course for a particular event according to specified dimensions and conditions. Part 3 Consider travel to international competition events. a. Select an international competition, and specify its location. Find another town/city in a different country on the same meridian of longitude and also another town/city in yet another country on the same parallel of latitude b. Calculate the distances between each of the towns and an estimate of the area bounded by arcs that connect them. c. Calculate the time difference between this competition location and a of capital cities from around the globe. A reporter from one of these has to present live reports to their home country to be received at a specific local time. Determine the local time at the venue for these reports to be made. e. Determine the travel time for an athlete departing a specified location at a particular local time and arriving at the venue at a particular local time. Areas of study The following content from the areas of study is addressed through this task. Area of study Content dot points Module Geometry & measurement : Measurement & trigonometry 1, 2, 3, 4 – Module Geometry & measurement : Spherical geometry 1, 2, 3, 4, 5, 6, 7 – Outcomes The following outcomes, key knowledge and key skills are addressed through this task. Outcome Key knowledge dot point Key skill dot point 1 1, 2, 3, 4, 5 1, 2, 3, 4, 5, 6 2 1, 2, 3, 4 1, 2, 3 3 1, 2, 3, 4, 5 1, 2, 3, 4, 8, 9, 10, 11
For throwing events, determine distances of or between, and bearings, of attempts, and explain whether a particular attempt of a particular distance and bearing is a fair or foul attempt. Determine how much further a distance runner will travel if they are forced to run at least a metre outside the ideal line for a specified number of laps. For sailing events, the race officer will need to set a particular course depending on the direction of the wind. Draw an accurate scale diagram of a sailing course for a particular event according to specified dimensions and conditions. Part 3 Consider travel to international competition events. a. Select an international competition, and specify its location. Find another town/city in a different country on the same meridian of longitude and also another town/city in yet another country on the same parallel of latitude b. Calculate the distances between each of the towns and an estimate of the area bounded by arcs that connect them. c. Calculate the time difference between this competition location and a of capital cities from around the globe. A reporter from one of these has to present live reports to their home country to be received at a specific local time. Determine the local time at the venue for these reports to be made. e. Determine the travel time for an athlete departing a specified location at a particular local time and arriving at the venue at a particular local time. Areas of study The following content from the areas of study is addressed through this task. Area of study Content dot points Module – Geometry & measurement : Measurement & trigonometry Module – Geometry & measurement : Spherical geometry 1, 2, 3, 4 1, 2, 3, 4, 5, 6, 7 Outcomes The following outcomes, key knowledge and key skills are addressed through this task. Outcome Key knowledge dot point Key skill dot point 1 1, 2, 3, 4, 5 1, 2, 3, 4, 5, 6 2 1, 2, 3, 4 1, 2, 3 3 1, 2, 3, 4, 5 1, 2, 3, 4, 8, 9, 10, 11
sample_modelling_problem_solving_task_geometry.docx