# Sec 3 Math Full-Year Course

### Course Intro

- Covers MOE Sec-3 Math Full-Year Syllabus
- Master essential concepts and problem-solving skills
- Build a solid foundation for future mathematical success

### Course Description

Dive into the realm of numbers and equations with our Sec 3 Math Full Year Course. Explore topics such as linear equations, graphs, Quadratic equations, indices, geometry, and mensuration. With engaging interactive live classes, interactive exercises, and expert guidance from experienced teachers, this course will help you develop a deep understanding of mathematical concepts and enhance your problem-solving abilities.

### Who is this Course for?

This course is designed for secondary 3 students who want to strengthen their mathematical skills and excel in exams. Whether you are aiming for a top score or simply want to build a solid mathematical foundation, this course will provide the necessary guidance and support to help you succeed.

### What you will Learn?

- Students will grasp the foundational rules and applications of indices, enabling simplification and equation-solving involving indices.
- They will acquire techniques for expanding and factorizing algebraic expressions, facilitating efficient expression manipulation.
- Proficiency in solving linear equations, graph representation, and interpretation of linear relationships will be attained.
- Mastery in dealing with simultaneous linear equations and comprehending linear graph properties will be achieved.
- Understanding quadratic equations, their solutions, and graph analysis will be developed.
- Competence in financial calculations, interest rate computations, and problem-solving related to investments and loans will be honed.
- Techniques for solving and interpreting equations and inequalities involving variables will be acquired.
- Profound comprehension of geometric congruence, similarity, and their applications in problem-solving will be established.

### Key Takeaways

- Mastery of Fundamental Algebraic Techniques: Students develop a strong foundation in algebraic manipulation, including indices, expansion, factorization, linear equations, and inequalities. Proficiency in these fundamental techniques is essential for advanced mathematical problem-solving.
- Graphical Representation and Interpretation: Emphasis is placed on interpreting and analyzing linear and quadratic equations graphically. Students learn to comprehend the relationship between equations and their graphical representations, enabling them to interpret real-world scenarios mathematically.
- Geometric Reasoning and Applications: Introduction to congruence, similarity, coordinate geometry, properties of circles, and angles facilitates geometric reasoning and problem-solving skills. Understanding geometric principles helps students apply mathematical concepts to real-world geometric situations.
- Practical Financial Mathematics: Application of mathematical concepts in finance, particularly in calculations involving interest rates, compound interest, and financial decisions. Students gain practical skills for managing financial scenarios and making informed monetary choices.
- Practical Application of Trigonometry and Mensuration: Application of Pythagoras’ theorem, trigonometric ratios, and mensuration concepts in real-life problem-solving scenarios. This equips students with tools to calculate areas, perimeters, and angles in various geometric shapes and structures.

### Why Learn from doerdo Tuition Course?

**Experienced Teachers**: Our expert ex-MOE teachers provide top-notch guidance and support.

**Real-time Performance Tracking**: Parents can monitor students’ progress through detailed insights.

**After-Class Support**: Students receive help and clarification from teachers beyond class hours.

**Al-Based Assessments**: Benefit from Al-generated tests and homework for personalized learning.

**Engaging Content**: Interactive learning resources make studying science enjoyable and effective.

### Course Curriculum

Indices – This topic focuses on the rules and properties of indices. Students will learn how to simplify expressions and solve equations involving indices. |

Expansion and Factorization – Students will learn techniques for expanding and factorizing algebraic expressions. The focus is on simplifying expressions and factorizing them into their respective terms. |

Linear Equations and Graphs – Students will learn how to solve linear equations and represent them on graphs. The focus is on interpreting and analyzing linear relationships between variables. For example, they may graph an equation like y = 2x + 1. |

Linear Graphs and Simultaneous Linear Equations – This topic focuses on the properties of linear graphs and solving simultaneous linear equations. An example problem could involve finding the intersection point of two given linear equations. |

Quadratic Equations and Graphs – Students will be introduced to quadratic equations and their graphs. They will learn how to solve quadratic equations, find their roots, and analyze the shapes of quadratic graphs. |

Money, Finance, and Interest – This topic covers various aspects related to money, financial calculations, and interest rates. Students will learn how to calculate interest, compound interest, and solve problems related to investments and loans. |

Equations and Inequalities – This topic covers the solving of equations and inequalities involving variables. Students will learn techniques to solve and interpret equations and inequalities. |

Congruence and Similarity – Students will be introduced to the concepts of congruence and similarity in geometric figures. They will learn to identify and apply criteria for congruent and similar triangles. An example problem could involve proving two triangles to be congruent or similar. |

Coordinate Geometry – This topic focuses on the study of points, lines, and shapes in the coordinate plane. Students will learn how to plot and analyze points, find distances between them, and understand the concept of gradients. An example problem might involve finding the midpoint between two given points. |

Properties of Circles – Students will explore the properties and relationships of circles, including chords, tangents, and arcs. They will learn to calculate lengths, angles, and areas associated with circles. An example problem could involve finding the length of an arc or the area of a sector. |

Properties of Angles – This topic introduces different types of angles and their properties. Students will learn about angles formed by intersecting lines, parallel lines, and transversals. An example problem could involve finding the measure of an unknown angle in a given geometric configuration. |

Pythagoras’ Theorem and Trigonometry Ratio – Students will learn about the Pythagorean theorem and trigonometric ratios such as sine, cosine, and tangent. They will apply these concepts to solve problems involving right-angled triangles. An example problem might involve finding the length of a missing side in a right-angled triangle using the Pythagorean theorem or trigonometric ratios. |

Mensuration (Perimeter and Area of Plane, Arc Length, Sector Area, and Radian Measure) – This topic focuses on the calculation of perimeters and areas of various plane figures. Students will also learn about the measurement of arcs, sector areas, and angles in radians. An example problem could involve finding the perimeter and area of a given polygon or calculating the length of an arc on a circle. |