| 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 | illustrates well-defined sets, subsets, universal sets, null set, cardinality of sets, union and intersection of sets and the different of two sets | ||||
| solves problems involving sets with the use of Venn Diagram. | |||||
| represents the absolute value of a number on a number line as the distance of a number from 0. | M7NS-Ic-1 | GGB: Absolute Value as Distance — | Absolute Value as Distance TG:  | ||
| performs fundamental operations on integers. | M7NS-Ic-d-1 | AlgeOps — | Addition of Integers TG: | ||
| AlgeOps— | Subtraction of Integers TG: | ||||
| AlgeOps— | Additive Inverse TG: | ||||
| Grid Game (Integers Level)— | Grid Game – Integers | ||||
| Ordering Game (Integers Level)— | Ordering Game – Integers | ||||
| Number Puzzles— | Number Puzzles – Integers | ||||
| illustrates the different properties of operations on the set of integers. | M7NS-Id-2 | ||||
| expresses rational numbers from fraction form to decimal form and vice versa. | M7NS-Ie-1 | ||||
| performs operations on rational numbers | M7NS-If-1 | Moving Fractions— | |||
| Fraction Balls— | |||||
| Addition and Subtraction of Similar Fractions (under development) | |||||
| describes principal roots and tells whether they are rational or irrational. | M7NS-Ig-1 | ||||
| determines between what two integers the square root of a number is. | M7NS-Ig-2 | Catch the Carrot | |||
| estimates the square root of a whole number to the nearest hundredth. | M7NS-Ig-3 | Catch the Carrot | |||
| plots irrational numbers (up to square roots) on a number line.*** | M7NS-Ig-4 | Catch the Carrot | Rational Numbers on the Number Line TG: | ||
| illustrates the different subsets of real numbers. | M7NS-Ih-1 | ||||
| arranges real numbers in increasing or decreasing order and on a number line. | Catch the Carrot | ||||
| Ordering Game— | |||||
| writes numbers in scientific notation and vice versa. | M7NS-Ii-1 | ||||
| represents real-life situations and solves problems involving real numbers. | |||||
| Q2 | approximates the measures of quantities particularly length , weight/mass, volume, time, angle and temperature and rate. | M7ME-IIa-3 | |||
| converts measurements from one unit to another in both Metric and English systems. | M7ME-IIb-1 | ||||
| solves problems involving conversion of units of measurement. | M7ME-IIb-2 | ||||
| translates English phrases to mathematical phrases and English sentences to mathematics sentences, and vice versa. | |||||
| Illustrates and differentiates related terms in algebra: a. an where n is a positive integer b. constants and variables c. literal coefficients and numerical coefficients d. algebraic expressions, terms and polynomials e. number of terms, degree of the term and degree of the polynomial. | |||||
| evaluates algebraic expressions for given values of the variables. | M7AL-IIc-4 | ||||
| adds and subtracts polynomials. | M7AL-IId-2 | AlgeOps— | Addition of Polynomials TG: Subtraction of Polynomials TG: | ||
| Number Puzzles— | Number Puzzles (Video) | ||||
| derives the laws of exponent. | M7AL-IId-e-1 | ||||
| multiplies and divides polynomials. | M7AL-IIe-2 | ||||
| uses models and algebraic methods to find the: (a) product of two binomials; (b) product of the sum and difference of two terms; (c) square of a binomial; (d) cube of a binomial; (e) product of a binomial and a trinomial. | M7AL-IIe-g-1 | AlgeTiles | Special Products TG: | ||
| AlgeTiles | Product of Two Binomials Using Algebra Tiles TG: | ||||
| solves problems involving algebraic expressions. | M7AL-IIg-2 | ||||
| differentiates algebraic expressions, equations and inequalities. | |||||
| illustrates linear equation and inequality in one variable. | M7AL-IIh-4 | ||||
| finds the solution of linear equation or inequality in one variable. | M7AL-IIi-1 | LinearOps | Linear Equations (Exercises); TG: Linear Equations (Levels 1-3); TG: Linear Equations (Levels 4-5) TG: | ||
| Just Keep Solving— | Play for Practice – Just Keep Solving (Video) | ||||
| solves linear equation or inequality in one variable involving absolute value by: (a) graphing; and (b) algebraic methods. | M7AL-IIi-j-1 | GGB: Absolute Value as Distance— | Solving Linear Equations and Inequalities Using Absolute Values TG: | ||
| LinearOps | Linear Equations (Exercises); TG: Linear Equations (Levels 1-3); TG: Linear Equations (Levels 4-5) TG: | ||||
| solves problems involving equations and inequalities in one variable. | M7AL-IIj-2 | ||||
| Q3 | represents point, line and plane using concrete and pictorial models. | M7GE-IIIa-1 | |||
| illustrates subsets of a line. | M7GE-IIIa-2 | ||||
| classifies the different kinds of angles. | M7GE-IIIa-3 | GeoMatch Version 2 | Classification of Triangles TG: | ||
| 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. | M7GE-IIIb-1 | AngleXplore | Complementary and Supplementary Angles TG: | ||
| GGB: Vertical Angles— | Vertical Angles TG: | ||||
| AngleXplore | Adjacent Angles TG: | ||||
| GGB: Linear Pairs— | Linear Pairs TG: | ||||
| GGB: Perpendicular Lines— | Perpendicular Lines TG: | ||||
| derives relationships among angles formed by parallel lines cut by a transversal using measurement and by inductive reasoning. | M7GE-IIIc-1 | GGB: Parallel Lines Cut by a Transversal— | Angles Formed by Parallel Lines Cut by a Transversal TG: | ||
| GGB: Lines Cut by a Transversal— | Angle Pairs Formed by Lines Cut by a Transversal TG: | ||||
| uses a compass and straightedge to bisect line segments and angles and construct perpendiculars and parallels. | M7GE-IIId-e-1 | Constructing Polygons of Equal Area TG: | |||
| Constructions (Bisecting Segments and Angles) TG: | |||||
| Constructions (Parallels and Perpendiculars) TG: | |||||
| Investigations using Constructions TG: | |||||
| GGB: Perpendicular to a Given Line — | Construction of Perpendicular Lines TG: | ||||
| illustrates polygons: (a) convexity; (b) angles; and (c) sides. | M7GE-IIIe-2 | GeoMatch Version 2 | |||
| derives inductively the relationship of exterior and interior angles of a convex polygon. | M7GE-IIIf-1 | ||||
| illustrates a circle and the terms related to it: radius, diameter chord, center, arc, chord, central angle, and inscribed angle. | M7GE-IIIg-1 | GeoMatch Version 2 | |||
| constructs triangles, squares, rectangles, regular pentagons, and regular hexagons. | M7GE-IIIh-i-1 | Constructions (Triangles) TG: | |||
| Constructions (Squares and Rectangles) TG: | |||||
| Constructions (Regular Pentagons) TG: | |||||
| Constructions (Regular Hexagons) TG: | |||||
| solves problems involving sides and angles of a polygon. | M7GE-IIIj-1 | GGB: Bisectors of a Triangle— | Bisectors of Triangles (Centroid) TG: | ||
| GGB: Bisectors of a Triangle— | Bisectors of Triangles (Circumcenter) TG: | ||||
| GGB: Bisectors of a Triangle— | Bisectors of Triangles (Incenter) TG: | ||||
| GGB: Bisectors of a Triangle— | Bisectors of Triangles (Orthocenter) TG: | ||||
| Q4 | poses real-life problems that can be solved by Statistics. | M7SP-IVa-2 | Senso Eskwela Pilipinas (SEP) | From SEP to Infographic (Performance Task) TG: SW: From SEP to Infographic (Video) | |
| Posing Statistical Problems TG: | |||||
| formulates simple statistical instruments. | M7SP-IVa-3 | Senso Eskwela Pilipinas (SEP) | Creating a Simple Questionnaire TG: SW: | ||
| Simple Statistical Instruments and Data Gathering TG: | |||||
| gathers statistical data. | M7SP-IVb-1 | Senso Eskwela Pilipinas (SEP) | Creating a Simple Questionnaire TG: SW: | ||
| Senso Eskwela Pilipinas (SEP) | From SEP to Infographic (Performance Task) TG: SW: From SEP to Infographic (Video) | ||||
| Senso Eskwela Pilipinas (SEP) | Creating a Stem and Leaf Plot TG: SW: | ||||
| Simple Statistical Instruments and Data Gathering TG: | |||||
| organizes data in a frequency distribution table. | M7SP-IVc-1 | Senso Eskwela Pilipinas (SEP) | Grouped Data TG: SW: | ||
| Senso Eskwela Pilipinas (SEP) | From SEP to Infographic (Performance Task) TG: SW: From SEP to Infographic (Video) | ||||
| Statistics (under development) | Organizing Data TG: | ||||
| uses appropriate graphs to represent organized data: pie chart, bar graph, line graph, histogram, and ogive. | M7SP-IVd-e-1 | Senso Eskwela Pilipinas (SEP) | From SEP to Infographic (Performance Task) TG: SW: From SEP to Infographic (Video) | ||
| Senso Eskwela Pilipinas (SEP) | Creating a Stem and Leaf Plot TG: SW: | ||||
| Senso Eskwela Pilipinas (SEP); Statistics (under development) | Organizing and Analyzing Data Using Graphs TG: SW: | ||||
| Statistics (under development) | Graphing Data TG: | ||||
| illustrates the measures of central tendency (mean, median, and mode) of a statistical data. | M7SP-IVf-1 | Senso Eskwela Pilipinas (SEP) | Advantages and Disadvantages of the Mean TG: SW: | ||
| Illustration of the Measures of Central Tendency TG: | Illustration of the Measures of Central Tendency | ||||
| calculates the measures of central tendency of ungrouped and grouped data. | M7SP-IVf-g-1 | Senso Eskwela Pilipinas (SEP) | Advantages and Disadvantages of the Mean TG: SW: | ||
| Senso Eskwela Pilipinas (SEP) | Grouped Data TG: SW: | ||||
| Senso Eskwela Pilipinas (SEP); Statistics (under development) | Computing Measures of Central Tendency and Variability TG: | Let’s Do Statistics “All-for-Public-Health” (Performance Task) | |||
| Illustration of the Measures of Central Tendency TG: | Illustration of the Measures of Central Tendency | ||||
| Just Keep Solving 2 (Statistics and Probability) | |||||
| illustrates the measures of variability (range, average deviation, variance, standard deviation) of a statistical data. | M7SP-IVh-1 | Senso Eskwela Pilipinas (SEP) | Measures of Variability of Ungrouped Data TG: SW: | ||
| Illustration of Variability TG: | |||||
| calculates the measures of variability of grouped and ungrouped data. | M7SP-IVh-i-1 | Senso Eskwela Pilipinas (SEP) | Grouped Data TG: SW: | ||
| Senso Eskwela Pilipinas (SEP) | Measures of Variability of Ungrouped Data TG: SW: | ||||
| Senso Eskwela Pilipinas (SEP); Statistics (under development) | Computing Measures of Central Tendency and Variability TG: | Let’s Do Statistics “All-for-Public-Health” (Performance Task) | |||
| Just Keep Solving 2 (Statistics and Probability) | |||||
| uses appropriate statistical measures in analyzing and interpreting statistical data. | M7SP-IVj-1 | Senso Eskwela Pilipinas (SEP) | From SEP to Infographic (Performance Task) TG: SW: From SEP to Infographic (Video) | ||
| Statistics (under development) | Analyzing Data Using Statistical Tools TG: | ||||
| Senso Eskwela Pilipinas (SEP); Statistics (under development) | Computing Measures of Central Tendency and Variability TG: | Let’s Do Statistics “All-for-Public-Health” (Performance Task) | |||
| Just Keep Solving 2 (Statistics and Probability) | |||||
| draws conclusions from graphic and tabular data and measures of central tendency and variability | M7SP-IVj-2 | Senso Eskwela Pilipinas (SEP) | From SEP to Infographic (Performance Task) TG: SW: From SEP to Infographic (Video) | ||
| Statistics (under development) | Analyzing Data Using Statistical Tools TG: | ||||
| Senso Eskwela Pilipinas (SEP); Statistics (under development) | Computing Measures of Central Tendency and Variability TG: | Let’s Do Statistics “All-for-Public-Health” (Performance Task) | |||
| Senso Eskwela Pilipinas (SEP) | Organizing and Analyzing Data Using Graphs TG: SW: |
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