180 INSTRUCTIONAL DAYS Budget Outlay for Grade 9 - Mathematics S.Y LEARNING COMPETENCY FIRST QUARTER. CODE DAYS LEARNING MATERIALS IM's

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1 180 INSTRUCTIONAL DAYS Budget Outlay for Grade 9 - Mathematics S.Y LEARNING COMPETENCY FIRST QUARTER CODE DAYS LEARNING MATERIALS IM's PATTERNS AND ALGEBRA 1 illustrates quadratic equations. M9AL-Ia solves quadratic equations by: (a) extracting square roots; (b) factoring; (c) completing the square; and (d) using the quadratic formula. characterizes the roots of a quadratic equation using the discriminant. describes the relationship between the coefficients and the roots of a quadratic equation. M9AL-Ia-b-1 8 M9AL-Ic-1 3 M9AL-Ic Cartolina, Manila paper, felt paper, marker flash cards, cartolina, marker Manila paper flash cards, cartolina, marker 5 solves equations transformable to quadratic equations (including rational algebraic equations). M9AL-Ic-d cartolina, marker 6 solves problem involving quadratic equations and rational algebraic equations. M9AL-Ie cartolina, marker 7 illustrates quadratic inequalities. M9AL-If chalk, meter stick 8 solves quadratic inequalities. M9AL-If flash cards, cartolina, marker

2 LEARNING COMPETENCY CODE DAYS LEARNING MATERIALS IM's 9 solves problems involving quadratic inequalities. M9AL-If-g models real-life situations using quadratic functions. M9AL-Ig represents a quadratic function using: (a) table of values; (b) graph; and (c) equation. transforms the quadratic function defined by y = ax² + bx + c into the form y = a(x - h) ² + k. M9AL-Ig-3 2 M9AL-Ih-1 2 The Math Forum Ask Dr. Math Questions & Answers From Our Archives ( /view/60810.html) Math IV: Advanced Algebra, Trigonometry and Statistics (Lesson PLans) 2002 BEC (Week 8) (TG) Learner's Material for graphing board, paper, ruler, meter stick, Manila paper graphing board, paper, ruler, meter stick, pictures flash cards, graphing board, colored chalk Manila paper, colored chalk graphs a quadratic function: (a) domain; (b) range; (c) intercepts; (d) axis of symmetry; (e) vertex; (f) direction of the opening of the parabola. 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.*** M9AL-Ig-h-i-1 4 M9AL-Ii-2 2 chalk Math IV: Advanced Algebra, Trigonometry and Statistics (Lesson PLans) 2002 BEC (Week 8-9) (TG) Manila paper, cartolina, marker or Mathematics Powerpoint presentation Grade (LM) 15 determines the equation of a quadratic function given: (a) a table of values; (b) graph; (c) zeroes. M9AL-Ij solves problems involving quadratic functions. M9AL-Ii-j Math IV: Advanced Algebra, Trigonometry and Statistics (Lesson PLans) 2002 BEC (Week 8-9) (TG) Mathematics Grade Manila paper, cartolina, marker Manila paper, cartolina, marker TOTAL 48

3 17 LEARNING COMPETENCY CODE DAYS LEARNING MATERIALS IM's SECOND QUARTER PATTERNS AND ALGEBRA illustrates situations that involve the following variations: (a) direct; (b) inverse; (c) joint; (d) combined. M9AL-IIa-1 5 Module 3 graphing board, Manila paper, colored chalk, meter stick 18 translates into variation statement a relationship between two quantities given by: (a) a table of values; (b) a mathematical equation; (c) a graph and vice versa M9AL-IIa-b-1 6 Module 3 chalk, meter stick, visual overlays 19 solves problems involving variation. M9AL-IIb-c-1 7 Module 3 graphing board, Manila paper, colored chalk, meter stick 20 applies the laws involving positive integral exponents, zero and negative integral exponents. M9AL-IId illustrates expressions with rational exponents. M9AL-IId chalk, meter stick 22 simplifies expressions with rational exponents. M9AL-IIe Manila paper, colored chalk 23 writes expressions with rational exponents as radicals and vice versa M9AL-IIf Manila paper, colored chalk 24 derives the laws of radicals. M9AL-IIf simplifies radical expressions using the laws of radicals. M9AL-IIg , flash cards

4 LEARNING COMPETENCY CODE DAYS LEARNING MATERIALS IM's, cartolina or 26 performs operations on radical expressions.*** M9AL-IIh-1 4 Powerpoint on the learning competency 27 solves equations involving radical expressions.*** M9AL-IIi , cartolina or Powerpoint on the learning competency 28 solves problems involving radicals. M9AL-IIj Manila paper, colored chalk, meter stick TOTAL 49 THIRD QUARTER GEOMETRY 29 identifies quadrilaterals that are parallelograms. M9GE-IIIa cutouts or pictures of quadrilaterals 30 determines the conditions that make a quadrilateral a parallelogram. M9GE-IIIa uses properties to find measuresof angles, sides and other quantities involving parallelograms. M9GE-IIIb , meter stick, protractor 32 proves theorems on the different kinds of parallelogram (rectangle, rhombus, square). M9GE-IIIc proves the Midline Theorem. M9GE-IIId , meter stick

5 LEARNING COMPETENCY CODE DAYS LEARNING MATERIALS IM's 34 prove theorems on trapezoids and kites. M9GE-IIId solves problems involving parallelograms, trapezoids and kites. M9GE-IIIe describes a proportion. M9GE-IIIf applies the fundamental theorems of proportionality to solve problems involving proportions. M9GE-IIIf illustrates similarity of figures. M9GE-IIIg Ratio&Proportion p.145(lm) Geometry Chapter Similarity between triangles p. 149 (LM) Mathematics Grade , meter stick, cut outs chart meter stick, cartolina, Manila paper meter stick, cartolina, Manila paper, marker protractor, meter stick, cartolina, Manila paper 39 proves the conditions for similarity of triangles.*** 39.1 SAS similarity theorem 39.2 SSS similarity theorem 39.3 AA similarity theorem 39.4 right triangle similarity theorem 39.5 special right triangle theorems M9GE-IIIg-h Basic Similarity Theorems p Similarities in Right Triangles p. 166 (LM) crayons, cartolina, Manila paper or Powerpoint on the learning competency 40 applies the theorems to show that given triangles are similar. M9GE-IIIi-1 4 Geometry Chapter 5, Similarity Basic Similarity Theorems p Similarities in Right Triangles p. 166 (LM) Manila paper, cartolina, meter stick

6 41 proves the Pythagorean Theorem. M9GE-IIIi The Pythagorean Theorem p. 169 (LM) Learner's Material for right triangles, cartolina, meter stick 42 LEARNING COMPETENCY CODE DAYS LEARNING MATERIALS IM's solves problems that involve triangle similarity and right triangles.*** M9GE-IIIj Problems Involving Similar Triangles and Other Special Right Triangles p. 175 (LM) Learner'sMaterial for Mathematics Grade Manila paper, cartolina, meter stick 43 FOURTH QUARTER GEOMETRY illustrates the six trigonometric ratios: sine, cosine, tangent, secant, cosecant and cotangent. TOTAL 39 M9GE-IVa cartolina, protractor, diagrams 44 finds the trigonometric ratios of special angles. M9GE-IVb-c Manila paper, colored chalk, triangles 45 illustrates angles of elevation and angles of depression. M9GE-IVd pictures, Manila paper, colored chalk 46 uses trigonometric ratios to solve real-life problems involving right triangles.*** M9GE-IVe diagrams, Manila paper, colored chalk or Powerpoint presentation 47 illustrates laws of sines and cosines. M9GE-IVf-g solves problems involving oblique triangles. M9GE-IVh-j-1 10 Module 2 Math IV: Advanced Algebra, Trigonometry and Statistics (Lesson Plans) 2002 BEC (Week 6-7) (LM) oblique triangles, Manila papers, cartolina, marker triangles,

7 TOTAL 43 *** Suggestions for ICT enhanced lesson when available and where appropriate