Module Description
Welcome to Module 1!
The Grade 12 Mathematics curriculum is designed primarily to equip you with the skills necessary for higher education and to enhance your computational abilities for technical training and the workforce. Module 1 of the Grade 12 mathematics program consists of three key units: Sequences and Series, Pre-Calculus, and Statistics.
Within this framework, the principles of calculus are introduced through mechanical and geometrical approaches to differentiation and integration, respectively. This foundation is essential foryou tocontinue your study of calculus at the tertiary level. Important theorems vital to the subject’s development are presented clearly, accompanied by illustrative examples, though proofs are not included. The intention is to enable you to understand the significance of these theorems and to apply them effectively.
Throughout all units, there is a deliberate effort to weave in cross-cutting issues and core competencies, ensuring that you develop a well-rounded understanding of both the theoretical and practical dimensions of mathematics. The integration of technology into mathematical learning is highly encouraged, as it allows youto apply your knowledge to real-life problem-solving scenarios.
Mastery of mathematics is unattainable without substantial practice in problem-solving, which is why it is crucial for you to be motivated and supported in tackling all assigned exercises and problems
Module Learning Outcomes(Objectives)
At the end of this module, you will be able to:
- Grasp the concept of sequence and series.
- Know how to compute any term of sequences from given rule.
- Find out possible rules (formulae) from given terms.
- Understand the types of sequences and series.
- Compute partial and infinite sums of sequences.
- Apply the knowledge of sequence and series to solve practical problems.
- Deduce rate of change of different quantities.
- Know how to calculate rate of change of different quantities.
- Understand gradient of functions at a point.
- Analyze the geometrical and mechanical meaning of derivative.
- Know how to find the derivative of simple functions using gradient method.
- Know how to find area of a region bounded by a function and x-axis on a given interval.
- Understand definite integral
- Know absolute and relative dispersion and their interpretation.
- Deduce specific facts about measurement in statistical data.
- Understand basic concepts about sampling techniques.
- Know how to use statistical application software.
Activities In This Module
The module activities are designed to help you create quality activities , assessments, and interactions. For ease of use, clicking the provided links will allow you to jump directly yo the location of the course where the activity is located.
Module Contents
Unit One: Sequence and Series
Lesson 1: Sequences
Lesson 2: Sigma Notation and Partial Sums
Lesson 3: Infinite Series and Applications
Unit Two: Introduction to Pre – Calculus
Lesson 1: Introduction to Derivatives
Lesson 2: Applications of Derivatives
Lesson 3: Introduction to Integrals
Unit Three: Statistics
Lesson 1: Measurement of Absolute Dispersion
Lesson 2: Measurement of Relative Dispersion and Sampling
References
- The new Ethiopian Curriculum
- Extreme books series
- Galaxy book series
- Internet sources
Instructor’s Information
