# Mathematics A

Course

The study of financial, geometric, statistical, and operational mathematics.

Mathematics A will assist to:

- Develop knowledge and skills of computation, estimation and measurement;
- Help manage financial affairs in an informed way;
- Develop the capacity to interpret and analyse information presented in a variety of forms;
- Make judgements based on evidence and reasoning.

Here is the course outline:

## 1. IntroductionSyllabus, Work Program, Assessment Criteria, Formula sheet for external exam, Classroom expectations. |

## 2. UNIT 1: Length, Area and VolumeStudents will be taught to develop a working knowledge of perimeter, area and volume in life-related situations, for example calculating the volume of water in swimming pools of different shapes; find the volume of earth which must be removed to construct a canal of given dimensions; and calculate the number of cubic metres of soil to be ordered to top=dress a lawn. |

## 3. UNIT 2: Right-angled triangles and trigonometryStudents will be taught to apply trigonometry (using the sin, cos and tan ratios) and Pythagoras' Theorem in life-related contexts, such as calculating the heights of trees, widths of rivers, and angles of elevation and depression. |

## 4. UNIT 3: Earth GeometryIn this introduction to Earth Geometry, students will learn to: locate positions on the earth's surface, given latitude and longitude, and work with time differences and time zones. |

## 5. UNIT 4: Dealing with dataStudents will learn about collecting, handling, preparing, describing, presenting and summarising data. The emphasis will be on the practicalities, concepts and interpretation of data through a range of life-related scenarios. |

## 6. UNIT 5: Finance 1 - Earning money, taxation, and spending moneyStudents will develop a working knowledge of the types of financial transactions and decisions they are most likely to encounter. |

## 7. UNIT 6: Linking two and three dimensionsStudents will develop a working knowledge of the practical considerations inherent in a variety of construction areas. Particular emphasis will be given to the representation of three-dimensional constructions in two dimensions. |

## 8. UNIT 7: Finance 2 - Simple and compound interest; Consumer credit and investmentStudents will develop a working knowledge of the mathematics involved in financial transactions,as well as an awareness of the underlying conditions of these transactions, to enable them to make informed decisions on credit and investments. |

## 9. UNIT 8: Exploring and understanding dataStudents will develop a working knowledge of some elementary concepts in exploring and interpreting data. They will become aware of the roles of probability and estimating probabilities. The emphasis of the unit is on exploration and this will be studied through a range of life-related scenarios. |

## 10. UNIT 9: LevellingStudents will learn about the surveying process of determining the relative heights of points on the Earth. This is of great importance in the construction of buildings. |

## 11. UNIT 10: NavigationStudents will develop a working knowledge of techniques needed for coastal navigation. |

## 12. UNIT 11: Networks and QueuingStudents will develop a working knowledge of the procedures involved in two types of operational research - networks and queuing. Networks involve the shortest-path and minimum spanning-tree algorithms which will be applied in life-related scenarios. Students will develop an intuitive understanding of simple critical-path analysis. They will also investigate queuing problems that occur in a variety of life-related situations. |

## 13. General revisionPast Papers and other revision |

## 14. Class tests and exams |

## 15. SolutionsAnswers to homework, various exercises and exams. |

## 16. Extra resources, problem solving and extensionExtension and support - Khan Academy; nrichMaths |