Mathematics Grade-9: Semester 2

Dear learner,

Welcome to Grade Nine Mathematics Module 2 !

Competence

Dear learner,

At the end of the module 2, you should be able to:

• Identify the hypotenuse, opposite and adjacent of a right-angled triangle.
• Describe the basic properties of a right-angled triangle. Define sine, cosine, and tangent ratio.
• Identify regular polygons.
• Solve problems on area and perimeter of regular polygons.
• Find the measure of each interior or exterior angle of a regular polygon.
• Explain properties of regular polygons.
• Distinguish between congruent and similar plane figures.
• Apply postulates and theorems in order to prove congruency and similarity of triangles.
• Solve problems on perimeters and areas of similar triangles and similar polygons.
• State and use the criteria for similarity of triangles viz. AAA, SSS and SAS.
• Prove the Pythagoras Theorem.
• Apply these results in verifying experimentally (or proving logically) problems based on similar triangles.
• Conceptualize vectors in the sense of direction and magnitude symbolically.
• Perform operations on vectors.
• Collect and represent simple statistical data using different methods such as histograms.
• Use facts and basic principles of probability.
• Develop the concept of probability via experimentation and hypothetical events.

CONTENTS

1: INTRODUCTION TO TRIGONOMETRY

Lesson 1: Revision on Right-angled Triangles

Lesson 2: Trigonometric Ratios

2: REGULAR POLYGONS

Lesson 3: Sum of Interior Angles, Sum of Exterior Angles, Each Interior Angle and Exterior Angle of a Convex Polygon

Lesson 4. Properties of Regular Polygons: Pentagon, Hexagon, Octagon and Decagon

3: CONGRUENCY AND SIMILARITY

Lesson 5: Revision on Congruency of Triangles

Lesson 6: Definition and theorems for similar plane figures

Lesson 7: Ratio of Perimeters, areas of Similar Plane Figures and Construction of Similar Plane Figure, Applications

4: VECTORS IN TWO DIMENSIONS

Lesson 8: Vector and Scalar Quantities and the representation of a Vector

Lesson 9: Vectors Operations, Position Vector and Applications

5: STATISTICS AND PROBABILITY

Lesson 10: Statistical Data

Lesson 11: Probability

ASSESSMENT METHOD

• Activities, 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 9 Student Text Book Based On New Curriculum
• Mathematics Grade 9 Student Text Book Based On old Curriculum
• Extreme Mathematics For Grade 9-10
• Internet Search

Instructor’s Information

Name: Ateka Derso Simegnew

• Email: dersoateka22@gmail.com

• Phone No:+251970709393