Math- O level – Geometry and mensuration
Course Intro
A complete course from basics to advanced challenges in geometry that involves shapes, angles, and dimensions Discover the power of mathematical precision.
Course Description
This course is designed to provide a comprehensive understanding of geometry, starting with the basics and building up to advanced challenges. Students will learn about the different types of figures and shapes, such as points, lines, triangles, and polygons. They will learn how to use theorems and postulates to prove geometric statements and understand the properties of geometric figures. The course will cover topics such as congruence and similarity, transformations, and coordinate geometry. The course will also cover solid geometry, including the properties of three-dimensional figures, such as spheres, cylinders, and cones.
Who is this Course for?
- This course is tailored for Secondary 4 / Olevel students in Singapore seeking to excel in geometry and mensuration.
- It’s perfect for those who aspire to ace examinations and build a strong foundation in these topics.
What you will Learn?
- In this course, you will learn to master angles, triangles, polygons, and their properties.
- You will gain expertise in calculating the areas of parallelograms, trapeziums, and various 3D shapes.
- Explore congruent and similar figures, and understand the principles that govern them.
- Delve into the world of circles, from symmetry properties to angle measurements.
- Acquire skills to calculate volumes and surface areas of different geometric solids.
- Learn about circular arc length, sector area, and segment area, along with the application of radian measurement.
Key Takeaways
- Gain a deep understanding of geometric concepts crucial for academic success.
- Develop problem-solving skills through practical examples and exercises.
- Build confidence in handling complex geometrical calculations.
- Acquire insights into real-world applications of geometry and mensuration.
- Prepare for exams with comprehensive knowledge and effective study strategies.
Why Learn from doerdo Tuition Course?
Experienced Teachers: Our ex-MOE educators are experts in Singapore’s curriculum.
Real-time Performance Tracking: Parents can monitor student progress with our performance analytics.
After-Class Support: Get help with homework and doubts from our dedicated teacher team.
AI-Based Testing: Practice with AI-powered tests tailored to your learning needs.
Engaging Homework: Reinforce your learning with interactive assignments.
Course Curriculum
| Angles, triangles, and polygons: Understanding angles and properties of triangles and polygons. Example: Calculating angles in a triangle. |
| Area of parallelogram and trapezium: Explaining how to calculate the areas of parallelograms and trapeziums. Example: Finding the area of a trapezium. |
| Congruent figures: Defining congruent figures and explaining their properties. Example: Identifying congruent triangles. |
| Similar figures: Describing similar figures and their characteristics Example: Determining similarity between two shapes. |
| Properties of similar triangles and polygons: Explaining properties such as corresponding angles and sides. Example: Proving two triangles are similar. |
| Enlargement and reduction of plane figure: Discussing the concept of enlarging or reducing 2D shapes. Example: Scaling down a rectangle. |
| Use of Pythagoras’ theorem: Demonstrating the application of the Pythagorean theorem. Example: Finding the length of the hypotenuse in a right triangle. |
| Determining right-angled triangles: Explaining how to determine if a triangle is right-angled. Example: Checking if a triangle with given sides is right-angled. |
| Congruence and similarity: Discussing properties and construction of perpendicular bisectors and angle bisectors. Example: Constructing a perpendicular bisector. |
| Properties of circles: Detailing symmetry and angle properties of circles. Example: Identifying a central angle in a circle. |
| Volume and surface area of prism and cylinder: Calculating the volume and surface area of these 3D shapes. Example: Finding the volume of a triangular prism. |
| Volume and surface area of pyramid, cone, and sphere: Explaining how to calculate these 3D shape properties. Example: Finding the surface area of a cone. |
| Arc length, sector area, and area of a segment of a circle: Describing calculations related to circular sectors. Example: Calculating the area of a sector. |
| Use of radian measure of angle: Introducing radian measurement and its conversion from degrees. Example: Converting 60 degrees to radians. |
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Learn from doerTeachers
Young Wai Keong Vincent
Mary Lin An Chin
Suriawati Binte Sulaimi
Tan Qianru
Yee Hong Ng
