MODULE DESCRIPTION
Dear learner, Welcome to Grade 11 Mathematics Module two!
This module provides a comprehensive knowledge and concept of grade 11 Mathematics starts from vectors while the second unit discusses about transformation of the plane but in the third and fourth units you will have to learn about statistics and probability. 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 OUTCOMES
Dear Learner, by the end of this module, you should be able to;
- Differentiate the difference between a vector and a scalar quantities
- Use the principle of decomposition of a given vector in to two components
- Determine the magnitude of a vector
- Understand the scalar product (inner product, of two vectors
- Apply principles and theorem about vectors in solving problems involving vectors
- Associate determinant of a matrix with cross product
- Use cross product of a vector to find area of parallelogram
- Apply vectors to solve problems on geometry, algebra, mechanics and other related problems.
- Know what is meant by transformation of the plane.
- Discuss basic concepts about transforming of the plane
- Describe the main properties of rigid motion ( Translation, reflections and rotation of points, lines and circles
- Apply methods and procedures in transforming plane figures
- Compare the features of ungrouped and grouped data
- Know about measurement strategies and calculations made in a statistical data determine class interval (class size) as required to form grouped data from a given ungrouped data
- Describe the central measurement and variability measurement methods.
- Distinguish the number of different ways of possible selection from a given sets of objects understand the basic principles of counting
- Use and interpret probabilities as fractions, decimals and percentages
- Arrange events from least likely to most likely and justify their choice
- Suggest various real life concepts related to probability
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 One
Vectors
Lesson 1: Introduction to vectors
Lesson 2: Vector Products and properties
Lesson 3: Applications of Vectors
Unit Two
Transformation of the planes
Lesson 1: Transformation of the plane and translations
Lesson 2: Reflections and rotations
Unit Three
Statistics
Lesson 1: Introduction to data types and organization
Lesson 2: Measurement of central tendency
Unit Four
Probability
Lesson 1: Introduction, principles of counting
Lesson 2: Random experiment and probability of events
MODULE ASSESSMENT METHOD
- Quizzes, Tests and assignments
- Mid-term exam
- Final exam
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
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UNIT ONE: VECTORS
Dear Learner welcome to unit one, In this unit, you explore the fundamental concepts and applications of vectors, which are essential elements in both mathematics and physics. Lesson 1: Introduction to Vectors you begin with an introduction to vectors, defining what they are, their components, and how they differ from scalars. Students will learn about vector notation, graphical representation, and the importance of direction and magnitude. By the end of this lesson,you will be equipped with the foundational knowledge necessary for understanding more complex vector operations. Lesson 2: Vector Products and Properties Building on the foundational concepts, Lesson 2 delves into vector products, including the dot product and the cross product. We will explore their properties, how to compute them, and their geometric interpretations. This lesson emphasizes the significance of these operations in determining angles between vectors, areas of parallelograms, and their role in mathematics. Lesson 3: Applications of Vectors In the final lesson, you will investigate the practical applications of vectors in various fields such as physics, engineering, and computer graphics. you will engage with real-world problems that utilize vector analysis, including forces, motion, and vector fields. This lesson aims to highlight the relevance of vectors in modeling and solving complex problems, reinforcing the skills necessary to apply vector concepts in both academic and professional contexts. Through this unit, you will gain a comprehensive understanding of vectors, enhancing their analytical skills and preparing them for more advanced topics in mathematics and science.
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Lesson 1: Introduction to Vectors
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Activity On Introduction to Vectors
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Summary On Introduction to Vectors
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Lesson 1: Test
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Offline Downloadible Resources
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Lesson 2: Vector Products and Properties
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Activity On Vector Products and Properties
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Summary Vector Products and Properties
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Lesson 2: Test
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Offline Downloadible Resources
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Lesson 3: Applications of Vectors
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Activity On Applications of Vectors
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Summary On Applications of Vectors
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Lesson 3: Test
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Offline Downloadible Resources
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UNIT TWO: Transformation of The Plane
Dear Learner welcome to unit two, This unit focuses on the fundamental concepts of geometric transformations in the plane, including translations, reflections, and rotations.you will explore the properties and applications of these transformations, developing both conceptual understanding and practical skills. By the end of this unit,you will be able to perform and analyze transformations, recognizing their effects on shapes and their positions within a coordinate system
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Lesson 4: Transformation of the Plane and Translations
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Activity On Transformation of The Plane
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Summary On Transformation of The Plane
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Lesson 1: Test
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Offline Downloadible Resources
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Lesson 5: Reflections and Rotations
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Activity On Reflections and Rotations
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Summary Reflections and Rotations
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Lesson 5: Test
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Offline Downloadible resources
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Unit Three: Statistics
Dear learner welcome to unit three, this unit provides a comprehensive introduction to essential concepts in data analysis, focusing on understanding data types, measurement of central tendency, and distribution. Lesson 1: Introduction to Data Types and Organization: In this lesson, you will explore various data types, including qualitative and quantitative data, and learn how to effectively organize data for analysis. methods for data collection, categorization, and representation, such as charts and tables. This foundational knowledge sets the stage for more advanced analytical techniques. Lesson 2: Measurement of Central Tendency: Building on the foundational concepts from the first lesson, this section delves into the measurement of central tendency mean, median, and mode. you will learn how to calculate these measures and understand their significance in summarizing data sets. Through practical examples, you will examine scenarios to determine which measure is most appropriate to use in different contexts and how it can inform data-driven decision-making. Overall, this unit enriches you with fundamental skills and knowledge in data organization and analysis, laying a strong foundation for further studies and real-world applications in statistics and data science.
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Lesson 5: Introduction to Data Types and Organization
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Activity On Introduction to Data Types and Organization
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Summary On Introduction to Data Types and Organization
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Lesson 5: Test
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Offline Downloadable Resources
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Lesson 6: Measurement of central tendency and Applications
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Activity On Measurement of central tendency and Applications
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Summary On Measurement of central tendency and Applications
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Lesson 6:Test
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Offline Downloadible Resources
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Unit Four: Probablity
Dear learner welcome to unit four, this unit serves as an introduction to the foundational concepts of probability theory, emphasizing its fundamental principles and applications. you will explore the nature of randomness and uncertainty through random experiments, develop skills in counting techniques vital for probability calculations, and deepen your understanding of how to assess and quantify the likelihood of various events. It is essential for students looking to understand the principles of probability, laying a strong foundation for further study in statistics, data science, and related fields
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Lesson 7: Introduction to Principles of Counting
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Activity On Introduction to Principles of Counting
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Summary On Introduction to Principles of Counting
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Lesson 7: Test
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Offline Downloadible Resources
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Lesson 8: Random Experiment and Probability of Events
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Activity On Random Experiment and Probability of Events
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Summary Random Experiment and Probability of Events
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Lesson 8: Test
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Offline Downloadible Resources
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