Unit of context:
Focus Question for year 10 class:
How students can calculate the simple interest and compound interest amounts using various interest rates and time periods?
Financial stability is a concern for future generations. In an uncertain economy with high cost of living, students need to understand the value of money and how money grows or how much it costs to borrow for buying a car, house, boat or other expensive electronic gadgets. When students realize how money grows when it is invested in high interest rate savings accounts, it might inspire them to save money. Moreover, students will be able to check and reconcile their bank accounts without rushing to the financial advisor for every small thing. This unit of work will equip students with the financial knowledge required to be self-sufficient to survive in the modern competitive world.
Students are expected to read texts (questions), comprehend word problems, transform words into mathematical symbols and perform the calculations to evaluate or determine the output. Students will improve reading, comprehension, transformation and processing skills. Students will compare and contrast various simple and compound interest amounts and draw conclusions regarding which investment option is better and which interest option provides better financial results. Students will have the opportunity to apply analysis, complex reasoning, higher order thinking and problem-solving skills while exploring the real-life scenarios and case studies.
Furthermore, students will learn to acquire and integrate the declarative knowledge methodically by constructing meaning, organising and storing information efficiently. Students will develop the ability to perform and use critical skills and processes, both physical and mental skills and processes, through constructing model, shaping and internalizing the procedural knowledge. Students will have the opportunity to understand and develop positive attitudes and perceptions towards classroom climate and classroom tasks. Essential critical thinking, creative thinking and self-regulated thinking strategies will be integrated into the learning journey for preparing students to develop productive habits of mind and thus enhance their abilities to learn in any situation and attain the attributes of lifelong learning.
Focus Questions for year 9 class:
How students will
1. Solve financial mathematical problems using the concept of simple interest model?
2. Apply theory of trigonometry to solve the right-angled triangle problems?
3. Appreciate Australia’s engagement with Asia using statistics?
Financial security is a major concern in the contemporary realm. This is due to the ongoing economic uncertainty, high cost of living and low income potentials as the growth in salaries is not keeping up with the increase in the living expenses. This clearly indicates that students need to understand the value of money and how to invest it wisely for capital growth and keep up with the inflation. They also need to understand how much interest they will be paying for their home loans, car loans etc.
Once the students acquire the knowledge of financial mathematics, they will not have the need to visit financial planners to get advice on how to save and grow the savings by prudent investments. Students will develop an understanding of the advantages of products that various financial institutions offer. This will allow them to identify the best product suited for their goals and budgets. Moreover, financial knowledge will assist students to check and reconcile their bank accounts successfully. Finally, students will realise that financial decisions can be supported by mathematical concepts and calculations. This unit will help the students gain the knowledge and understanding of the financial systems so that they will have an edge in the contemporary uncertain economy.
The statistics is used to carryout research, read journals and make logical decisions. Students develop high quality critical and analytical thinking skills and become informed consumers by exploring statistical data analysis (StatsR4us, n.d.; Cornell University Learning Strategies Center, n.d.). Students will be involved in collecting statistical data from the Asia-pacific region. Students will identify everyday enquiries and issues involving at least one numerical and at least one categorical variable, and collect data directly and from secondary sources.
The knowledge of trigonometry is essential to understand how to build structures economically and effectively. With trigonometry, it is easy to identify the weak spot where things are most likely to break and how thick structural parts must be to carry the loads safely. Trigonometry is very useful to make demarcations for workspaces in buildings. Trigonometry is also used to understand radio waves and waves on water etc. The knowledge of trigonometry is useful in developing computer music, modern architecture, digital imaging, measuring the heights of mountains, aircraft designing and navigation, geography, medical scanning, astronomy and predicting stock market and financial cycles (QFAk, n.d.; Clark University, n.d.; Malini math blog, n.d.; Math Work Sheet Center, n.d; Yu, 2011).
Students will also have an opportunity to apply the theory of trigonometry to solve right-angled triangle problems. Students will learn to select and apply an accurate trigonometric ratio to determine the unknown sides and angles in right-angled triangles. Students can apply Pythagoras theorem in real life situations such as identifying the shortest path (hypotenuse is always the shortest) for morning walk. In this unit, students learn systematic problem solving techniques, build confidence on their ability to solve mathematical problems and realise their full potential and contribute towards individual’s success. This further leads to nation’s social and economic development.
Furthermore, students will have the opportunity to read questions, interpret word problems, convert texts into mathematical symbols, solve the problems and derive the solutions methodically. Students will enhance their reading and comprehension skills. Students will learn to construct the meaning logically without memorising the facts. Students will develop complex analysis, logical reasoning, critical thinking, creative thinking, higher-order thinking and problem-solving skills while dealing with the real-world situations. Students will have the opportunity to appreciate the importance of developing positive attitudes and perceptions in order to accomplish their career and personal life aspirations. The essential critical thinking, creative thinking, self-regulated thinking and productive habits of mind strategies are entrenched in the learning journey to equip students to build resilience and self-confidence and therefore enrich their capacities to learn in any circumstances and acquire the characteristics of lifelong learning and succeed in the competitive global village.
Focus Question for year 10 class:
How students can calculate the simple interest and compound interest amounts using various interest rates and time periods?
Financial stability is a concern for future generations. In an uncertain economy with high cost of living, students need to understand the value of money and how money grows or how much it costs to borrow for buying a car, house, boat or other expensive electronic gadgets. When students realize how money grows when it is invested in high interest rate savings accounts, it might inspire them to save money. Moreover, students will be able to check and reconcile their bank accounts without rushing to the financial advisor for every small thing. This unit of work will equip students with the financial knowledge required to be self-sufficient to survive in the modern competitive world.
Students are expected to read texts (questions), comprehend word problems, transform words into mathematical symbols and perform the calculations to evaluate or determine the output. Students will improve reading, comprehension, transformation and processing skills. Students will compare and contrast various simple and compound interest amounts and draw conclusions regarding which investment option is better and which interest option provides better financial results. Students will have the opportunity to apply analysis, complex reasoning, higher order thinking and problem-solving skills while exploring the real-life scenarios and case studies.
Furthermore, students will learn to acquire and integrate the declarative knowledge methodically by constructing meaning, organising and storing information efficiently. Students will develop the ability to perform and use critical skills and processes, both physical and mental skills and processes, through constructing model, shaping and internalizing the procedural knowledge. Students will have the opportunity to understand and develop positive attitudes and perceptions towards classroom climate and classroom tasks. Essential critical thinking, creative thinking and self-regulated thinking strategies will be integrated into the learning journey for preparing students to develop productive habits of mind and thus enhance their abilities to learn in any situation and attain the attributes of lifelong learning.
Focus Questions for year 9 class:
How students will
1. Solve financial mathematical problems using the concept of simple interest model?
2. Apply theory of trigonometry to solve the right-angled triangle problems?
3. Appreciate Australia’s engagement with Asia using statistics?
Financial security is a major concern in the contemporary realm. This is due to the ongoing economic uncertainty, high cost of living and low income potentials as the growth in salaries is not keeping up with the increase in the living expenses. This clearly indicates that students need to understand the value of money and how to invest it wisely for capital growth and keep up with the inflation. They also need to understand how much interest they will be paying for their home loans, car loans etc.
Once the students acquire the knowledge of financial mathematics, they will not have the need to visit financial planners to get advice on how to save and grow the savings by prudent investments. Students will develop an understanding of the advantages of products that various financial institutions offer. This will allow them to identify the best product suited for their goals and budgets. Moreover, financial knowledge will assist students to check and reconcile their bank accounts successfully. Finally, students will realise that financial decisions can be supported by mathematical concepts and calculations. This unit will help the students gain the knowledge and understanding of the financial systems so that they will have an edge in the contemporary uncertain economy.
The statistics is used to carryout research, read journals and make logical decisions. Students develop high quality critical and analytical thinking skills and become informed consumers by exploring statistical data analysis (StatsR4us, n.d.; Cornell University Learning Strategies Center, n.d.). Students will be involved in collecting statistical data from the Asia-pacific region. Students will identify everyday enquiries and issues involving at least one numerical and at least one categorical variable, and collect data directly and from secondary sources.
The knowledge of trigonometry is essential to understand how to build structures economically and effectively. With trigonometry, it is easy to identify the weak spot where things are most likely to break and how thick structural parts must be to carry the loads safely. Trigonometry is very useful to make demarcations for workspaces in buildings. Trigonometry is also used to understand radio waves and waves on water etc. The knowledge of trigonometry is useful in developing computer music, modern architecture, digital imaging, measuring the heights of mountains, aircraft designing and navigation, geography, medical scanning, astronomy and predicting stock market and financial cycles (QFAk, n.d.; Clark University, n.d.; Malini math blog, n.d.; Math Work Sheet Center, n.d; Yu, 2011).
Students will also have an opportunity to apply the theory of trigonometry to solve right-angled triangle problems. Students will learn to select and apply an accurate trigonometric ratio to determine the unknown sides and angles in right-angled triangles. Students can apply Pythagoras theorem in real life situations such as identifying the shortest path (hypotenuse is always the shortest) for morning walk. In this unit, students learn systematic problem solving techniques, build confidence on their ability to solve mathematical problems and realise their full potential and contribute towards individual’s success. This further leads to nation’s social and economic development.
Furthermore, students will have the opportunity to read questions, interpret word problems, convert texts into mathematical symbols, solve the problems and derive the solutions methodically. Students will enhance their reading and comprehension skills. Students will learn to construct the meaning logically without memorising the facts. Students will develop complex analysis, logical reasoning, critical thinking, creative thinking, higher-order thinking and problem-solving skills while dealing with the real-world situations. Students will have the opportunity to appreciate the importance of developing positive attitudes and perceptions in order to accomplish their career and personal life aspirations. The essential critical thinking, creative thinking, self-regulated thinking and productive habits of mind strategies are entrenched in the learning journey to equip students to build resilience and self-confidence and therefore enrich their capacities to learn in any circumstances and acquire the characteristics of lifelong learning and succeed in the competitive global village.