Course description

This is a course based on DepEd’s Curriculum Guides  for grade 9 students.

It is designed for use by in any public or private school, in a blended  learning environment.

Learning can be instructor led, but delivered asymmetrically.

It can also be used by students in private schools which have not yet reopened.

Self-paced learners are encouraged to enroll in this course to develop self motivation, critical thinking, inquisitiveness, and a learning-for-life attitude.

Content standards (topics)

G9 Patterns and Algebra I

concepts of quadratic equations, inequalities and functions, and rational algebraic equations.

G9 Patterns and Algebra II

concepts of variation and radicals.

Geometry  I

concepts of parallelograms and triangle similarity;

Geometry  II

basic concepts of trigonometry

Learning Competencies

Patterns and Algebra I

The learner….

solves quadratic equations by: (a) extracting square roots; (b) factoring; (c) completing the square; and (d) using the quadratic formula.;

characterizes the roots of a quadratic equation using the discriminant.

describes the relationship between the coefficients and the roots of a quadratic equation.

solves problems involving quadratic equations and rational algebraic equations.

solves problems involving quadratic inequalities.

represents a quadratic function using: (a) table of values; (b) graph; and (c) equation.

graphs a quadratic function: (a) domain; (b) range; (c) intercepts; (d) axis of symmetry; (e) vertex; (f) direction of the opening of the parabola.

determines the equation of a quadratic function given: (a) a table of values; (b) graph; (c) zeros.

solves problems involving quadratic functions.

Patterns and Algebra II

The learner….

translates into variation statement a relationship between two quantities given by: (a) a table of values; (b) a mathematical equation; (c) a graph, and vice versa.

solves problems involving variation.

applies the laws involving positive integral exponents to zero and negative integral exponents.

simplifies expressions with rational exponents.

derives the laws of radicals.

simplifies radical expressions using the laws of radicals.

solves problems involving radicals.

Geometry I

The learner…

determines the conditions that make a quadrilateral a parallelogram.

proves theorems on the different kinds of parallelogram (rectangle, rhombus, square).

solves problems involving parallelograms, trapezoids and kites.

applies the fundamental theorems of proportionality to solve problems involving proportions.

applies the theorems to show that given triangles are similar.

proves the Pythagorean Theorem.

Geometry II

The learner…

illustrates the six trigonometric ratios: sine, cosine, tangent, secant, cosecant, and cotangent.

illustrates angles of elevation and angles of depression.

uses trigonometric ratios to solve real-life problems involving right triangles.

illustrates laws of sines and cosines.

solves problems involving oblique triangles.

Assessments

There is a quiz at the end of each major topic or subject.

Here are test items from our Math Test Bank  for uploading to TutorLMS.

Test items were curated from Online Educational Resources (OER) . we  selected test items that require higher order of thinking, ie higher cognitive skills ( based on Bloom’s Taxonomy)