Education Type | K to 12 |
Grade Level | Grade 9 |
Learning Area | Mathematics |
Content/Topic | Patterns and Algebra |
Intended Users | Educators |
Competencies | Illustrates quadratic equations 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 equations transformable to quadratic equations including rational algebraic equations Solves problems involving quadratic equations and rational algebraic equations Illustrates quadratic inequalities Solves quadratic inequalities Solves problems involving quadratic inequalities Models reallife situations using quadratic functions Represents a quadratic function using a table of values b graph and c equation Transforms the quadratic function defined byy ax2 plus bx plus cinto the formy ax h2 k Graphs a quadratic function a domain b range c intercepts d axis of symmetry e vertex f direction of the opening of the parabola Analyzes the effects of changing the values of a h and k in the equation y ax h2 plus k of a quadratic function on its graph Determines the equation of a quadratic function given a a table of values b graph c zeros Solves problems involving quadratic functions Illustrates situations that involve the following variations a direct b inverse c joint d combined 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 Illustrates expressions with rational exponents Simplifies expressions with rational exponents Writes expressions with rational exponents as radicals and vice versa Derives the laws of radicals Simplifies radical expressions using the laws of radicals Performs operations on radical expressions Solves equations involving radical expressions Solves problems involving radicals |
Copyright | Yes |
Copyright Owner | Department of Education |
Conditions of Use | Reproduce, Use, Copy, Print |
File Size | 0 bytes |
File Type | application/pdf |
Software/Plug-in Requirements | Adobe Reader |
No. of Pages | 155 pages |