Gizmos for PHIL Learning Competencies - Mathematics: 7th 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.

7.1: : First Quarter

7.1.3: : The learner represents the absolute value of a number on a number line as the distance of a number from 0.

7.1.4: : The learner performs fundamental operations on integers.

7.1.5: : The learner illustrates the different properties of operations on the set of integers.

7.1.6: : The learner expresses rational numbers from fraction form to decimal form and vice versa.

7.1.7: : The learner performs operations on rational numbers.

7.1.8: : The learner describes principal roots and tells whether they are rational or irrational.

7.1.9: : The learner determines between what two integers the square root of a number is.

7.1.10: : The learner estimates the square root of a whole number to the nearest hundredth.

7.1.13: : The learner arranges real numbers in increasing or decreasing order and on a number line.

7.1.14: : The learner writes numbers in scientific notation and vice versa.

7.1.15: : The learner represents real-life situations and solves problems involving real numbers.

7.2: : Second Quarter

7.2.16: : The learner approximates the measures of quantities particularly length, weight/mass, volume, time, angle and temperature and rate.

7.2.17: : The learner converts measurements from one unit to another in both Metric and English systems.

7.2.18: : The learner solves problems involving conversion of units of measurement.

7.2.19: : The learner translates English phrases to mathematical phrases and English sentences to mathematics sentences, and vice versa.

7.2.20: : The learner Illustrates and differentiates related terms in algebra:

7.2.20.a: : a^n where n is a positive integer

7.2.20.b: : constants and variables

7.2.20.d: : algebraic expressions, terms and polynomials

7.2.20.e: : number of terms, degree of the term and degree of the polynomial

7.2.22: : The learner adds and subtracts polynomials.

7.2.23: : The learner derives the laws of exponent.

7.2.24: : The learner multiplies and divides polynomials.

7.2.25: : The learner uses models and algebraic methods to find the:

7.2.25.a: : product of two binomials

7.2.25.b: : product of the sum and difference of two terms

7.2.25.c: : square of a binomial

7.2.26: : The learner solves problems involving algebraic expressions.

7.2.28: : The learner illustrates linear equation and inequality in one variable.

7.2.29: : The learner finds the solution of linear equation or inequality in one variable.

7.2.30: : The learner solves linear equation or inequality in one variable involving absolute value by:

7.2.30.a: : graphing; and

7.2.30.b: : algebraic methods.

7.2.31: : The learner solves problems involving equations and inequalities in one variable.

7.3: : Third Quarter

7.3.32: : The learner represents point, line and plane using concrete and pictorial models.

7.3.34: : The learner classifies the different kinds of angles.

7.3.35: : The learner derives relationships of geometric figures using measurements and by inductive reasoning; supplementary angles, complementary angles, congruent angles, vertical angles, adjacent angles, linear pairs, perpendicular lines, and parallel lines.

7.3.36: : The learner derives relationships among angles formed by parallel lines cut by a transversal using measurement and by inductive reasoning.

7.3.37: : The learner uses a compass and straightedge to bisect line segments and angles and construct perpendiculars and parallels.

7.3.38: : The learner illustrates polygons:

7.3.38.b: : angles; and

7.3.38.c: : sides.

7.3.39: : The learner derives inductively the relationship of exterior and interior angles of a convex polygon.

7.3.40: : The learner illustrates a circle and the terms related to it: radius, diameter chord, center, arc, chord, central angle, and inscribed angle.

7.3.42: : The learner solves problems involving sides and angles of a polygon.

7.4: : Fourth Quarter

7.4.45: : The learner gathers statistical data.

7.4.46: : The learner organizes data in a frequency distribution table.

7.4.47: : The learner uses appropriate graphs to represent organized data: pie chart, bar graph, line graph, histogram, and ogive.

7.4.48: : The learner illustrates the measures of central tendency (mean, median, and mode) of a statistical data.

7.4.49: : The learner calculates the measures of central tendency of ungrouped and grouped data.

7.4.50: : The learner illustrates the measures of variability (range, average deviation, variance, standard deviation) of a statistical data.

7.4.51: : The learner calculates the measures of variability of grouped and ungrouped data.

7.4.52: : The learner uses appropriate statistical measures in analyzing and interpreting statistical data.

7.4.53: : The learner draws conclusions from graphic and tabular data and measures of central tendency and variability.

Correlation last revised: 1/23/2024

PHIL Learning Competencies - Mathematics: 7th Grade

Most Essential Learning Competencies | Adopted: 2022

7.1: : First Quarter

7.2: : Second Quarter

7.3: : Third Quarter

7.4: : Fourth Quarter