Mathematics Grade-10: Semester 2

Descriptoion

Dear students, welcome to this module. The module contains 3 units namely: Circles, Solid Figures and Coordinate Geometry respectively. Each of the units is composed of introduction, objectives, key terms, lessons and review exercises. Each unit is basically lesson based, and each lesson has four components: Brainstorming question, Definition, Examples, and exercises. The most important part in this process is to practice problems by yourself.

Brainstorming: This part of the lesson demands you to revise what you have learnt or stimulate your background knowledge on the topic. It also introduces you to what you are going to learn in a new lesson topic.

Definition/Theorem/Note: This part presents and explains to you new concepts.

Example and Solution: In this part, you need to attempt and internalize the examples by yourself and carefully follow their steps in the solutions.
Exercise: Under this part of the material, you will solve the exercises and questions individually, in pairs or groups to practice what you learnt in the examples.

Competencies(MLC)

At the end of this module, you will be able to:

• Explain the symmetrical properties of circles.
• Use the symmetrical properties of circles to solve related problems.
• Write angle properties of circles in their own words.
• Apply angle properties of circles to solve related problems.
• Find perimeters and areas of segments and sectors. Find surface area and volume of pyramids and cones.
• Calculate volume of frustum of pyramids and cones.
• Find the distance between any two given points in the coordinate plane.
• Divide a given line segment into different ratios.
• Describe the equation of a line in different forms.
• Describe the equation of a circle in different forms.
• Relate the slope of parallel and perpendicular lines.

Contents:

Unit 5: Circles

Lesson 1: Symmetrical properties of circles
Lesson 2: Arc length, perimeters and areas of segments and sectors, theorems on angles and arcs

Unit 6: Solid Figures

Lesson 3: Revision of Cylinders, Prisms and pyramids
Lesson 4: Frustum of pyramids and cones
Lesson 5: Surface areas and volumes of composed solids

Unit 7: Coordinate Geometry

Lesson 6: Distance between two points
Lesson 7: Equation of a line
Lesson 8: Equation of a Circle and Applications

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