Mathplus Resources’ Alignment with Department of Education Most Essential Learning Competencies Grade 10 Mathematics
| Quarter | Most Essential Learning Competencies (MELCs) | K to 12 CG Code | Apps (for Android/PC); GeoGebra (GGB) Applets | Teaching Guides (TG); Videos for Teachers; and Student Worksheets (SW); | Videos for Students |
|---|---|---|---|---|---|
| Q1 | generates patterns. | M10AL-Ia-1 | |||
| illustrates an arithmetic sequence | M10AL-Ib-1 | ||||
| determines arithmetic means, nth term of an arithmetic sequence and sum of the terms of a given arithmetic sequence. | Arithmetic Mean and Geometric Mean: A Geometric Representation TG:  | ||||
Numberger — | |||||
| illustrates a geometric sequence. | M10AL-Id-1 | ||||
| differentiates a geometric sequence from an arithmetic sequence. | M10AL-Id-2 | Differentiating between Arithmetic and Geometric Sequences TG: | |||
| determines geometric means, nth term of a geometric sequence and sum of the terms of a given finite or infinite geometric sequence | |||||
| solves problems involving sequences. | M10AL-If-2 | ||||
| performs division of polynomials using long division and synthetic division. | M10AL-Ig-1 | ||||
| proves the Remainder Theorem, Factor Theorem and the Rational Root Theorem. | |||||
| factors polynomials. | M10AL-Ih-1 | Factor Fuse — | |||
| illustrates polynomial equations. | M10AL-Ii-1 | ||||
| solves problems involving polynomials and polynomial equations. | M10AL-Ij-2 | Polynomial Inequalities TG: | |||
| Q2 | illustrates polynomial functions. | M10AL-IIa-1 | |||
| understand, describe and interpret the graphs polynomial functions. | Graph of Polynomial Functions TG: | ||||
| solves problems involving polynomial functions. | M10AL-IIb-2 | ||||
| derives inductively the relations among chords, arcs, central angles, and inscribed angles. | M10GE-IIc-1 | GGB: Measures of Angles Involving Tangents — | Measures of Angles Involving Tangents TG: | ||
| GGB: Measures of Angles Involving Secants — | Measures of Angles Involving Secants TG: | ||||
| GGB: Measures of Angles Involving Secants and Tangents — | Measures of Angles Involving Secants and Tangents TG: | ||||
| GGB: Central Inscribed Angle and Intercepted Arc — | Measures of Central Angles and its Intercepted Arc TG: | ||||
| Measures of Inscribed Angles and its Intercepted Arc TG: | |||||
| proves theorems related to chords, arcs, central angles, and inscribed angles. | M10GE-IIc-d-1 | GGB: [Proof] Inscribed 1 — GGB: [Proof] Inscribed 2 —GGB: [Proof] Inscribed 3 — | Proof of Measures of Inscribed Angles and its Intercepted Arc TG: | ||
| illustrates secants, tangents, segments, and sectors of a circle. | M10GE-IIe-1 | GGB: Secant Lines and Tangent Lines — | Secant and Tangent Lines TG: | ||
| Inscribed and Central Angles TG: | |||||
| proves theorems on secants, tangents, and segments. | M10GE-IIe-f-1 | GGB: [Power] Two-secant Theorem — | Power Theorem – Secants TG: | ||
| GGB: [Power] Two-tangent Theorem — | Power Theorem – Tangents TG: | ||||
| GGB: [Power] Secant-Tangent Theorem — | Power Theorem – Secants and Tangents TG: | ||||
| GGB: [Power] Intersecting Chords Theorem — | Power Theorem – Chords TG: | ||||
| solves problems on circles. | M10GE-IIf-2 | ||||
| applies the distance formula to prove some geometric properties. | M10GE-IIg-2 | ||||
| illustrates the center-radius form of the equation of a circle. | M10GE-IIh-1 | ||||
| determines the center and radius of a circle given its equation and vice versa. | M10GE-IIh-2 | ||||
| graphs and solves problems involving circles and other geometric figures on the coordinate plane. | |||||
| Q3 | illustrates the permutation of objects. | M10SP-IIIa-1 | |||
| solves problems involving permutations | M10SP-IIIb-1 | ||||
| illustrates the combination of objects. | M10SP-IIIc-1 | ||||
| differentiates permutation from a combination of n objects taken r at a time. | M10SP-IIIc-2 | ||||
| solves problems involving permutations and combinations | M10SP-IIId-e-1 | GGB: Problems on Permutation and Combinations on Distinct Object — | An Exercise in Permutations of Like Objects TG: | ||
| illustrates events, and union and intersection of events. | M10SP-IIIf-1 | Union and Intersection of Events TG: | |||
| illustrates the probability of a union of two events. | M10SP-IIIg-1 | ||||
| finds the probability of A∪B | M10SP-IIIg-h-1 | Union and Intersection of Events TG: | |||
| illustrates mutually exclusive events. | M10SP-IIIi-1 | Mutually Exclusive Events TG: | |||
| solves problems involving probability. | M10SP-IIIi-j-1 | The Addition and Multiplication Principles of Counting TG: | |||
| Q4 | illustrates the following measures of position: quartiles, deciles and percentiles. | M10SP-IVa-1 | Senso Eskwela Pilipinas (SEP) | Measures of Positions and Box Plots TG: , SW: | |
| calculates a specified measure of position (e.g. 90th percentile) of a set of data. | M10SP-IVb-1 | Senso Eskwela Pilipinas (SEP) | Computing Measures of Position TG: | Measures of Position | |
| Statistics (under development) | |||||
| interprets measures of position. | M10SP-IVc-1 | Senso Eskwela Pilipinas (SEP) | Measures of Positions and Box Plots TG: , SW: | Measures of Position | |
| solves problems involving measures of position. | Senso Eskwela Pilipinas (SEP) | Quartiles, Percentiles, and Deciles TG: | Measures of Position | ||
| formulates statistical mini-research. | Senso Eskwela Pilipinas (SEP) | ||||
| uses appropriate measures of position and other statistical methods in analyzing and interpreting research data. | Senso Eskwela Pilipinas (SEP) |
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