EMA100 Mathematics Education Assignment
- Subject Code :
EMA100
- Country :
Australia
Task 1: Problem solving, multiple methods
If you take two cards from a standard pack of 52 and add their values together, what is more likely a total value of 6, or a total value of 7? Aces have a value of 1; King, Queen and Jack cards score 10.
Solve using two different methods, as it may be solved in different levels of schooling.
Make sure your answers are logically and clearly presented and show all working, communicating clearly what you are doing at each step. Use diagrams to illustrate your reasoning where possible.
Write a paragraph in which you compare and analyse the different methods for their advantages and disadvantages, and their use in different levels of schooling. Include references to the Australian Curriculum: Mathematics.
Task 2: Fermi problems
A. Complete the following Fermi problem. Clearly state and explain the estimates and assumptions you have made and explain carefully how you have used them to calculate your answer. Use diagrams to enhance your explanations if possible. Discuss briefly with reasons the reasonableness of each answer. Also consider briefly how you may extend each problem. Make sure that your answer is rounded to an appropriate level of accuracy.
How many litres of paint are needed to paint the inside of a house?
B. Make up your own Fermi problem that is relevant to a cross-curricular learning activity for a specified year level. Describe its relevance to the other curriculum area as well as the mathematics that is needed.
Task 3: Mathematical investigation: Volume and surface area
Investigate the relationship between surface area and volume of cuboids. Consider:
How can you change the surface area of a cuboid while keeping the volume the same?
How can you change the volume of a cuboid while keeping the surface area the same?
Investigate by specialising choosing specific examples to investigate
Present your investigation using diagrams and tables as appropriate.
Make conclusions by generalising what can you say about the relationship between surface area and volume of cuboids in general?
