Mathematics Grade 11: Semester 2

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 Five

Vectors

Lesson 1: Introduction to vectors

Lesson 2: Vector Products and properties

Lesson 3: Applications of Vectors

Unit Six

Transformation of the planes

Lesson 4: Transformation of the plane and translations

Lesson 5: Reflections and rotations

Unit Seven

Statistics

Lesson 6: Introduction to data types and organization

Lesson 7: Measurement of central tendency

Unit Eight

Probability

Lesson 8: Introduction, principles of counting

Lesson 9: 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