This document outlines the curriculum guide for Precalculus in Grade 11. It covers three main units: analytic geometry, mathematical induction, and trigonometry. Unit 1 introduces conic sections like circles, parabolas, ellipses, and hyperbolas as well as their definitions, equations, and properties. It also covers solving systems of nonlinear equations. Unit 2 reviews sequences, series, and the summation notation. It also covers the principle of mathematical induction and its applications. This unit introduces the binomial theorem. Unit 3 covers angles, circular functions and their graphs, trigonometric identities and equations, inverse trigonometric functions, and the polar coordinate system.
This document outlines the curriculum guide for Precalculus in Grade 11. It covers three main units: analytic geometry, mathematical induction, and trigonometry. Unit 1 introduces conic sections like circles, parabolas, ellipses, and hyperbolas as well as their definitions, equations, and properties. It also covers solving systems of nonlinear equations. Unit 2 reviews sequences, series, and the summation notation. It also covers the principle of mathematical induction and its applications. This unit introduces the binomial theorem. Unit 3 covers angles, circular functions and their graphs, trigonometric identities and equations, inverse trigonometric functions, and the polar coordinate system.
This document outlines the curriculum guide for Precalculus in Grade 11. It covers three main units: analytic geometry, mathematical induction, and trigonometry. Unit 1 introduces conic sections like circles, parabolas, ellipses, and hyperbolas as well as their definitions, equations, and properties. It also covers solving systems of nonlinear equations. Unit 2 reviews sequences, series, and the summation notation. It also covers the principle of mathematical induction and its applications. This unit introduces the binomial theorem. Unit 3 covers angles, circular functions and their graphs, trigonometric identities and equations, inverse trigonometric functions, and the polar coordinate system.
This document outlines the curriculum guide for Precalculus in Grade 11. It covers three main units: analytic geometry, mathematical induction, and trigonometry. Unit 1 introduces conic sections like circles, parabolas, ellipses, and hyperbolas as well as their definitions, equations, and properties. It also covers solving systems of nonlinear equations. Unit 2 reviews sequences, series, and the summation notation. It also covers the principle of mathematical induction and its applications. This unit introduces the binomial theorem. Unit 3 covers angles, circular functions and their graphs, trigonometric identities and equations, inverse trigonometric functions, and the polar coordinate system.
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DepEd Curriculum Guide for Precalculus
Unit 1: Analytic Geometry
💭introduction to CONIC SECTIONS AND CIRCLES –an overview of Conic Sections –Definition and Equation of a Circle –More Properties of Circles –Situational Problems Involving Circles 💭PARABOLAS –Definition and Equation of a Parabola –More Properties of Parabolas –Situational Problems Involving Parabolas 💭ELLIPSES –Definition and Equation of an Ellipses –More Properties of Ellipses –Situational Problems Involving Ellipses 💭HYPERBOLAS –Definition and Equation of an Hyperbolas –More Properties of Hyperbolas –Situational Problems Involving Hyperbolas 💭MORE PROBLEMS ON CONIC SECTIONS –Identifying the conic Section by inspection –Problems Involving Different Conic Sections 💭SYSTEMS OF NONLINEAR EQUATIONS –Review of techniques in solving systems of Linear equations –Solving systems of equations using Substitution –Solving Systems of Equations Using Eliminations. Unit 2: MATHEMATICAL INDUCTION 💭REVIEW OF SEQUENCES AND SERIES 💭SIGMA NOTATION –Writing and Evaluating Sums in Sigma Notation –Properties of Sigma Notation 💭PRINCIPLE OF MATHEMATICAL INDUCTION –Proving Summation Identities –Proving Divisibility Statements –Proving Inequalities 💭THE BINOMIAL THEOREM –Pascal's triangle and the concept of Combination –The Binomial Theorem –Terms of a Binomial Expansion –Approximation and Combination Identities. Unit 3: TRIGONOMETRY 💭 ANGLES IN A UNIT CIRCLE –Angle Measure –Coterminal Angles –Arc Length and Area of a Sector 💭CIRCULAR FUNCTIONS –Circular Functions on Real Numbers –Reference Angle 💭GRAPHS OF CIRCULAR FUNCTIONS AND SITUATIONAL PROBLEMS –Graphs of y= sin r and y=cos r –Graphs of y=a sin bx and y= a cos bx –Graphs of y=a sin b(x–c) + d and y= a cos b(x–c) + d –Graphs of Cosecant and Secant Functions –Graphs of Tangent and Cotangent Functions –Simple Harmonic Motion 💭FUNDAMENTAL TRIGONOMETRIC IDENTITIES –Domain of an expression or equation –Identity and Conditional Equation –The Fundamental Trigonometric Identities –Proving Trigonometric Identities 💭SUM AND DIFFERENCE IDENTITIES –The Cosine Difference and Sum Identities –The Cofunction Identities and the Sine Sum and Difference Identities –The tangent Sum and Difference Identities 💭DOUBLE–ANGLE AND HALF-ANGLE IDENTITIES –Double-angle identities –Half-angle Identities 💭INVERSE TRIGONOMETRIC FUNCTIONS –Inverse Sine Function –Inverse Cosine Function –Inverse Tangent Function and the Remaining Inverse Trigonometric Functions 💭TRIGONOMETRIC EQUATIONS –Solution of a Trigonometric Equation –Equations with One Term –Equations with Two or More Terms 💭POLAR COORDINATE SYSTEM –Polar Coordinates of a Point –From Polar to Rectangular, and Vice Versa –Basic Polar Graphs and Application. PRE-CALCULUS TOPICS GRADE 11