Gizmos for PHIL Learning Competencies - Mathematics: 8th 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.

8.1: : First Quarter

8.1.1: : The learner factors completely different types of polynomials (polynomials with common monomial factor, difference of two squares, sum and difference of two cubes, perfect square trinomials, and general trinomials).

8.1.2: : The learner solves problems involving factors of polynomials.

8.1.7: : The learner illustrates the rectangular coordinate system and its uses.

8.1.8: : The learner illustrates linear equations in two variables.

8.1.9: : The learner illustrates and finds the slope of a line given two points, equation, and graph.

8.1.10: : The learner writes the linear equation ax + by = c in the form y = mx + b and vice versa.

8.1.11: : The learner graphs a linear equation given:

8.1.11.a: : any two points;

8.1.11.b: : the x- and y-intercepts;

8.1.11.c: : the slope and a point on the line.

8.1.12: : The learner describes the graph of a linear equation in terms of its intercepts and slope.

8.1.13: : The learner finds the equation of a line given:

8.1.13.a: : two points;

8.1.13.b: : the slope and a point;

8.1.13.c: : the slope and its intercepts.

8.1.14: : The learner solves problems involving linear equations in two variables.

8.1.15: : The learner illustrates a system of linear equations in two variables.

8.1.16: : The learner graphs a system of linear equations in two variables.

8.1.17: : The learner categorizes when a given system of linear equations in two variables has graphs that are parallel, intersecting, and coinciding.

8.1.18: : The learner solves problems involving systems of linear equations in two variables by:

8.1.18.a: : graphing;

8.1.18.b: : substitution;

8.1.18.c: : elimination.

8.2: : Second Quarter

8.2.19: : The learner differentiates linear inequalities in two variables from linear equations in two variables.

8.2.20: : The learner illustrates and graphs linear inequalities in two variables.

8.2.21: : The learner solves problems involving linear inequalities in two variables.

8.2.22: : The learner solves problems involving systems of linear inequalities in two variables.

8.2.23: : The learner illustrates a relation and a function.

8.2.24: : The learner verifies if a given relation is a function.

8.2.26: : The learner finds the domain and range of a function.

8.2.27: : The learner graphs and illustrates a linear function and its:

8.2.27.a: : domain;

8.2.27.b: : range;

8.2.27.c: : table of values;

8.2.27.d: : intercepts; and

8.2.27.e: : slope.

8.2.28: : The learner solves problems involving linear functions.

8.2.29: : The learner determines the relationship between the hypothesis and the conclusion of an if-then statement.

8.2.30: : The learner transforms a statement into an equivalent if-then statement.

8.2.31: : The learner determines the inverse, converse, and contrapositive of an if-then statement.

8.2.32: : The learner illustrates the equivalences of:

8.2.32.a: : the statement and its contrapositive; and

8.2.32.b: : the converse and inverse of a statement.

8.2.33: : The learner uses inductive or deductive reasoning in an argument.

8.3: : Third Quarter

8.3.37: : The learner illustrates triangle congruence.

8.3.38: : The learner illustrates the SAS, ASA and SSS congruence postulates.

8.3.40: : The learner proves two triangles are congruent.

8.3.41: : The learner proves statements on triangle congruence.

8.3.42: : The learner applies triangle congruence to construct perpendicular lines and angle bisectors.

8.4: : Fourth Quarter

8.4.43: : The learner illustrates theorems on triangle inequalities (Exterior Angle Inequality Theorem, Triangle Inequality Theorem, Hinge Theorem).

8.4.44: : The learner applies theorems on triangle inequalities.

8.4.47: : The learner determines the conditions under which lines and segments are parallel or perpendicular.

8.4.48: : The learner illustrates an experiment, outcome, sample space and event.

8.4.49: : The learner counts the number of occurrences of an outcome in an experiment:

8.4.49.a: : table

8.4.49.c: : systemic listing

8.4.50: : The learner finds the probability of a simple event.

8.4.51: : The learner illustrates an experimental probability and a theoretical probability.

8.4.52: : The learner solves problems involving probabilities of simple events.

Correlation last revised: 1/23/2024

PHIL Learning Competencies - Mathematics: 8th Grade

Most Essential Learning Competencies | Adopted: 2022

8.1: : First Quarter

8.2: : Second Quarter

8.3: : Third Quarter

8.4: : Fourth Quarter