Gizmos for PHIL Learning Competencies - Mathematics: 9th Grade (Most Essential Learning Competencies adopted 2022)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

9.1: : First Quarter

9.1.1: : The learner illustrates quadratic equations.

9.1.2: : The learner solves quadratic equations by:

9.1.2.b: : factoring;

9.1.2.d: : using the quadratic formula.

9.1.3: : The learner characterizes the roots of a quadratic equation using the discriminant.

9.1.4: : The learner describes the relationship between the coefficients and the roots of a quadratic equation.

9.1.6: : The learner solves problems involving quadratic equations and rational algebraic equations.

9.1.7: : The learner illustrates quadratic inequalities.

9.1.8: : The learner solves quadratic inequalities.

9.1.10: : The learner models real-life situations using quadratic functions.

9.1.11: : The learner represents a quadratic function using:

9.1.11.a: : table of values;

9.1.11.b: : graph; and

9.1.11.c: : equation.

9.1.12: : The learner transforms the quadratic function defined by y = ax^2 + bx + c into the form y = a(x – h)^2 + k.

9.1.13: : The learner graphs a quadratic function:

9.1.13.c: : intercepts;

9.1.13.d: : axis of symmetry;

9.1.13.e: : vertex;

9.1.13.f: : direction of the opening of the parabola.

9.1.14: : The learner analyzes the effects of changing the values of a, h and k in the equation y = a(x – h)^2 + k of a quadratic function on its graph.

9.1.15: : The learner determines the equation of a quadratic function given:

9.1.15.b: : graph;

9.1.15.c: : zeros.

9.1.16: : The learner solves problems involving quadratic functions.

9.2: : Second Quarter

9.2.17: : The learner illustrates situations that involve the following variations:

9.2.17.a: : direct;

9.2.17.b: : inverse

9.2.18: : The learner translates into variation statement a relationship between two quantities given by:

9.2.18.a: : a table of values;

9.2.18.b: : a mathematical equation;

9.2.18.c: : a graph, and vice versa.

9.2.19: : The learner solves problems involving variation.

9.2.20: : The learner applies the laws involving positive integral exponents to zero and negative integral exponents.

9.2.23: : The learner derives the laws of radicals.

9.2.24: : The learner simplifies radical expressions using the laws of radicals.

9.2.25: : The learner performs operations on radical expressions.

9.2.26: : The learner solves equations involving radical expressions.

9.3: : Third Quarter

9.3.28: : The learner determines the conditions that make a quadrilateral a parallelogram.

9.3.29: : The learner uses properties to find measures of angles, sides and other quantities involving parallelograms

9.3.30: : The learner proves theorems on the different kinds of parallelogram (rectangle, rhombus, square).

9.3.33: : The learner solves problems involving parallelograms, trapezoids and kites.

9.3.34: : The learner describes a proportion.

9.3.36: : The learner illustrates similarity of figures.

9.3.38: : The learner applies the theorems to show that given triangles are similar.

9.3.39: : The learner proves the Pythagorean Theorem.

9.3.40: : The learner solves problems that involve triangle similarity and right triangles.

9.4: : Fourth Quarter

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

9.4.42: : The learner finds the trigonometric ratios of special angles.

9.4.43: : The learner illustrates angles of elevation and angles of depression.

9.4.44: : The learner uses trigonometric ratios to solve real-life problems involving right triangles.

Correlation last revised: 1/23/2024

PHIL Learning Competencies - Mathematics: 9th Grade

Most Essential Learning Competencies | Adopted: 2022

9.1: : First Quarter

9.2: : Second Quarter

9.3: : Third Quarter

9.4: : Fourth Quarter