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This document provides the syllabus breakdown for a mathematics course over two terms. In term I, topics covered include sets and Venn diagrams, trigonometry and bearing, functions and notation, and graphs of functions. Key learning objectives are using Venn diagrams to represent relationships between sets, solving problems using trigonometric rules, and sketching graphs of various functions. Term II covers properties of circles, matrices, kinematics, and a revision. Students will learn angle properties of circles, perform matrix operations, interpret graphs in real-world contexts, and draw graphs from data.

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Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum

(𝐓𝐋𝐄 𝟏𝟎𝟎) (𝐋𝐞𝐬𝐬𝐨𝐧 𝟏)-𝐏𝐫𝐞𝐥𝐢𝐦𝐬
𝐃𝐢𝐬𝐜𝐮𝐬𝐬 𝐭𝐡𝐞 𝐄𝐏𝐏 𝐂𝐮𝐫𝐫𝐢𝐜𝐮𝐥𝐮𝐦 𝐢𝐧 𝐭𝐡𝐞 𝐏𝐡𝐢𝐥𝐢𝐩𝐩𝐢𝐧𝐞𝐬:
- Understand the goals and objectives of the Edukasyong Pantahanan at Pangkabuhayan (EPP) curriculum, recognizing its importance in fostering practical life skills and values among students. Students will also be able to identify the key components and subjects covered, such as agriculture, home economics, industrial arts, and information and communication technology.
𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐍𝐚𝐭𝐮𝐫𝐞 𝐚𝐧𝐝 𝐒𝐜𝐨𝐩𝐞 𝐨𝐟 𝐚𝐧 𝐄𝐧𝐭𝐫𝐞𝐩𝐫𝐞𝐧𝐞𝐮𝐫:
-Define entrepreneurship, distinguishing it from general business activities by emphasizing its focus on innovation, risk-taking, and value creation. Students will describe the characteristics and traits of successful entrepreneurs, including their roles and responsibilities, and discuss the broader economic and social impacts of entrepreneurial activities on both local and global scales.

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Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum

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- 1. Topic Sub Topics Learning Objectives Week Term I 16 Sets and Venn Diagrams • Introduction to set notation • Venn diagrams, universal set and compliment of a set. • Intersection of two sets • Combining universal set, compliment of a set, subset, intersection and union of a sets • Application of Venn Diagrams in problem sums • Formulas in set theory • use language, notation and Venn diagrams to describe sets • define and identify an empty set, a universal set, equal sets, disjoint sets and complement of a set and to give Examples of the sets • define and distinguish subsets and proper subsets of a given set • define the intersection and union of sets and the relationships between sets by using Venn diagrams • use Venn diagrams to solve problems • represent relationships between sets • definition of sets: e.g. A = {x : x is a natural number} B = {(x, y): y = mx + c} C = {x : a ≤ x ≤ b} D = {a, b, c…} 4 Subject Name: Mathematics 4024 Syllabus Break up Class O2 (First Term) The Quaid-e-Azam Group of Schools & Colleges O Level Campus Mardan
- 2. Topic Sub Topics Learning Objectives Week Further Trigonometry and bearing Sine and cosine of obtuse angles • Area of triangle • Sine Rule • Cosine Rule • Bearing • Three dimensional problems • extend sine and cosine functions to angles between 90° and 180° • solve problems using the sine and cosine rules for any triangle and the formula area of a triangle = ½ ab sin C [angles will be quoted in, and answers required in, degrees and decimals of a degree to one decimal place] • interpret and use three figure bearings •measure clockwise from the north, i.e 000ᵒ - 360ᵒ e.g. Find the bearing of A from B if the bearing of B from A is 125ᵒ • solve simple trigonometric problems in three dimensions (calculations of the angle between two planes or of the angle between a straight line and plane will not be required) 4 Function and Notation • Relations and Functions • Functions involving higher order expressions • Inverse functions • use function notation to describe simple functions. •find inverse functions 1
- 3. Topic Sub Topics Learning Objectives Week Graphs of functions • Graphs of quadratic functions. • Graph of cubic functions, reciprocal and exponential functions, • Gradient of a curve. • construct tables of values and draw graphs for functions of the form y = axn, where a is a rational constant and n= −2,−1, 0, 1, 2, 3 and simple sums of not more than three of these and for functions of the form kax. •draw graphs for given functions and use them to solverelated equations graphically • interpret the graphs of the given functions • use graphs to estimate the unknown value(s) of x for a given value of y and vice versa • solve associated equations approximately by graphical methods • estimate gradients of curves by drawing tangents • sketch graphs of quadratic functions 4 Personal and Household Finance(all concepts) (revision) 2 Algebraic Manipulation(revision) 1
- 4. Topic Sub Topics Learning Objectives Week Term II 11 Properties of circles • Symmetric properties of circles. • Angle properties • use the following symmetry properties of circles: a) equal chords are equidistant from the centre b) the perpendicular bisector of a chord passes through the centre c) tangents from an external point are equal in length •angle properties of circles a) angle in a semicircle b) angle between tangent and radius of a circle c) angle at the centre of a circle is twice the angle at the circumference d) angles in the same segment are equal e) angles in opposite segments are supplementary 3 Matrices • Introduction to Matrices • Addition and subtraction of Matrices • Matrix multiplication • Determinant of a Matrix • Inverse of a Matrrix • Application of Matrices • display information in the form of a matrix of any order • solve problems involving the calculation of the sum and product (where appropriate) of two matrices and interpret the results • calculate the product of a matrix and a scalar quantity • use the algebra of 2 × 2 matrices including the zero and identity 2 × 2 matrices • calculate the determinant l A l and inverse of a non- singular matrix A 2
- 5. Topic Sub Topics Learning Objectives Week Kinematics Application of Graphs in real world. • interpret and use graphs in practical situations including travel graphs and conversion graphs • draw graphs from the given data • apply the idea of rate of change to easy kinematics involving distance-time and speed-time graphs, acceleration and deceleration • Calculate distance travelled as area under a linear speed- time graph. • use tangents to calculate the speed and acceleration from the non-linear distance-time and speed-time graphs • interpret the distance-time graphs and speed-time graphs 3 Revision 3