Grade 9 Materials

Sphere

IntroductionA sphere is one of the most familiar curved-surface solids in everyday life. Footballs, marbles, and many round containers are...

Discriminant Function

IntroductionIn a quadratic equation, there is an important component called the discriminant. The discriminant is used to determine the type...

Quadratic Equations

IntroductionConsider the following problem. A bathroom wall has a rectangular shape and will be covered with square tiles. The length...

Similarity and Congruence

IntroductionThis lesson discusses two important geometry ideas: similarity and congruence. Both are used to compare figures based on shape, size,...

Cone

IntroductionA cone is a solid with one circular base and one apex. This lesson covers the elements of a cone,...

Curved-Surface Solids

IntroductionCurved-surface solids include cylinders, cones, and spheres. This article focuses on the cylinder, a solid formed by two parallel congruent...

Dilation

Introduction Learning ObjectivesAfter studying dilation, students are expected to be able to: Explain dilation as a geometric transformation in contextual...

Rotation

Introduction A. Learning ObjectivesAfter studying the rotation material (rotation) This is expected to: Explain geometric transformations (rotation) which is connected...

Translation

Introduction Learning ObjectivesAfter studying translation, students are expected to be able to: Explain translation as a geometric transformation in contextual...

Quadratic Functions

Introduction Basic Competencies3.2 Explain quadratic functions using tables, equations, and graphs. 3.3 Explain the relationship between the coefficients and discriminant...

Exponents

A. Introduction Exponents are widely used in daily life, especially when writing very large or very small quantities. Learning exponents...