MODULE DESCRIPTION
Dear learner, Welcome to Grade 12 Mathematics Module Two!
This module provides a comprehensive knowledge and concept of grade 12 Mathematics starts from introduction to Linear programming while the second unit discusses about mathematical Applications in business. Each unit has its own details illustrated in verbal, pictorial and real life explores, To facilitate your understanding, the presentation of contents in the module is supported by in text questions, learning activity questions and self-check exercise questions.
Dear learner, You have to take sufficient time for the study of contents included and do not pass to the next content before mastering the previous one. Finally, I want to assure you that this module is organized from simple to complex supplemented with discussion of adequate examples and exercises with answers are included. Before looking at the answers of activities and self-check exercises, please make sure that you have completed activities and the self-check exercises by your own. This module requires you to spend at least 21 hours of self-study time
MODULE LEARNING OUT COME/ OBJECTIVES
Dear Student !
At the end of this module, you will be able to;
- Compute maximum and minimum values of a given objective function under given constraints.
- Use the concept of inequalities real life examples for linear programming and solve the problem
- Apply the concept of mathematics for business for practical problems related to road traffic, customer production,tax, climate change Compare quantities in terms of ratio.
- Calculate the rate of increase and the rate of decrease in price of commodities.
- Compute problems on percentage increase or percentage decrease
- Apply the formula for compound interest to solve practical problems in business.
- Compute annuity for a give arrangement in compound interest.
- Interpret annuity concept to solve real life problems
- Discuss the different terms related to amortization
- Develop and formulate home (any) payment schedule
- Describe what is depreciation mean and some of its causes
- Compute depreciation by using either of the two methods appropriately
- demonstrate how savings become investment.
- Describe three main factors in choosing a particular institution for saving
- Differentiate the four factors that should guide consumers in planning an investment strategy.
- Compare and contrast the differences between stocks and bond
- Compute the amount and time on the return of loan based on the given agreement.
- Explain why governments collect taxes.
ACTIVITIES IN THIS MODULE
The module activities are designed to help you elaborate basic terms in this unit, a quire the necessary skill and understanding of each content, and solve similar questions given in the lesson. For ease of use, clicking the provided links will allow you to jump directly to the location of the course where the activity is located.
MODULE CONTENTS
Unit Four
Introduction to Linear Programming
Lesson 1: Graphical Solution of System of Linear Inequalities
Lesson 2: Maximum and Minimum values of linear programming
Lesson 3: Applications of linear programming
Unit Five
Mathematical Applications in business
Lesson 4: Basic Mathematical Concepts in Business
Lesson 5: Time Value Of Money
Lesson 6: Saving and investment
Lesson 7: Taxation
MODULE ASSESSMENT METHOD
- Quizzes, Tests and assignments
- Mid-term exam
- Final exam
- All assessments consist of automatically graded multiple-choice questions with explanatory feedback. Each question offers four answer choices, marked by small square checkboxes. While the options may not always be labeled A, B, C, or D, you can interpret the checkboxes in that order.
REFERENCES
- Mathematics Grade 11 Student Text Book Based On New Curriculum
- Extreme Mathematics For Grade 11-12
- Alpha Mathematics For Grade 11-12
- Galaxy Mathematics For Grade 11-12
- Internet Search
Instructor’s Information
Name: Esubalew Molla Hunegnaw
• Email: hunegnw.e@gmail.com
• Phone No:+251909069666
Curriculum
- 2 Sections
- 21 Lessons
- 365 Days
- Unit Four : Introduction to Linear programmingDear learner Welcome to unit one! This unit focuses on two fundamental concepts in linear algebra and optimization: the graphical solution of systems of linear equations and the principles of linear programming, including the determination of maximum and minimum values. Understanding these concepts is essential for solving real-world problems in various fields, including economics, engineering, and social sciences. By the end of this unit, you will have a solid understanding of how to solve linear equations graphically and apply linear programming techniques to optimize solutions under constraints. These skills will enable them to tackle more complex mathematical problems and gain insights into real-world applications of linear algebra and optimization18
- 1.1Lesson 1: Graphical Solution of System of Linear Inequalities30 Minutes
- 1.2Lesson 1: Activity15 Minutes5 Questions
- 1.3Lesson 1: Summary1 Minute
- 1.4Lesson 1 Gamified Activity
- 1.5Lesson 1: Test24 Minutes8 Questions
- 1.6Offline Resources
- 1.7Lesson 2: Maximum, Minimum values of linear programming30 Minutes
- 1.8Lesson 2 : Activity15 Minutes5 Questions
- 1.9Lesson 2: summary1 Minute
- 1.10Lesson 2: Test30 Minutes10 Questions
- 1.11Lesson 2 Gamified Activity
- 1.12Offline Resources
- 1.13Lesson 3: Applications of Linear Programing30 Minutes
- 1.14Lesson 3 Activity15 Minutes5 Questions
- 1.15Lesson 3: Summary10 Minutes
- 1.16Lesson 3 Gamified Activity
- 1.17Lesson 3: Test10 Minutes5 Questions
- 1.18Offline Resources
- Unit Five : Mathematical Applications in businessDear Learner welcome to unit two! In today’s fast-paced business environment, a solid understanding of fundamental mathematical and financial concepts is crucial for making informed decisions and achieving long-term success. This unit is designed to equip you with essential knowledge and skills that will serve as a foundation for navigating the financial aspects of business. Lesson 1: Basic Mathematical Concepts in Business lays the groundwork for understanding essential mathematical tools that underpin many business operations. you will explore fundamental concepts such as percentages, ratios, and basic algebra, all of which are vital for analyzing financial statements, budgeting, and forecasting business performance. Lesson 2: Time Value of Money introduces the critical principle that money available today is worth more than the same amount in the future due to its potential earning capacity. you will delve into concepts such as present and future value, discount rates, and the intricacies of interest calculations, which are essential for making investment decisions and evaluating financial opportunities. Lesson 3: Saving, Investment, and Taxation emphasizes the importance of effective financial management strategies. you will examine the roles of saving and investing in wealth accumulation, while also addressing the impact of taxation on individual and business financial planning. Understanding these concepts will empower you to make strategic decisions that maximize financial growth and minimize liabilities.24
- 2.1Lesson 4: Basic Mathematical Concepts in Business30 Minutes
- 2.2Lesson 4: Activity15 Minutes5 Questions
- 2.3Lesson 4: Summary15 Minutes
- 2.4Lesson 4: Test30 Minutes10 Questions
- 2.5Lesson 4 Gamified Activity
- 2.6Offline resources
- 2.7Lesson 5: Time Value of Money30 Minutes
- 2.8Lesson 5 : Activity15 Minutes5 Questions
- 2.9Lesson 5 : Summary15 Minutes
- 2.10Lesson 5 Gamified Activity
- 2.11Lesson 5: Test30 Minutes10 Questions
- 2.12Offline resource
- 2.13Lesson 6: Saving and Investment30 Minutes
- 2.14Lesson 6: Activity15 Minutes5 Questions
- 2.15Lesson 6: Summary15 Minutes
- 2.16Lesson 6 Gamified Activity
- 2.17Lesson 6: Test30 Minutes10 Questions
- 2.18Offline resources
- 2.19Lesson 7: Taxation30 Minutes
- 2.20Lesson 7: Activity30 Minutes5 Questions
- 2.21Lesson 7: Summary15 Minutes
- 2.22Lesson 7 Gamified Activity
- 2.23Lesson 7: Test15 Minutes5 Questions
- 2.24Offline resources