Time Frame
 Objectives
 Topics/ Content
 Concept/s
 Competencies
 Teaching Strategy
 Values
 List of Activities
 Materials
 Evaluation
 References
 First Quarter
 Define functions and give examples that depict functionsDifferentiate a function and a relationExpress functional relationship in terms of symbols y=f(x)Evaluate a function using the value of x.
 Chapter 1Functions and GraphsFunctions and Function Notations
 The equation y=f(x) is commonly used to denote functional relationship between two variables x and y.
 DefiningDifferentiatingEvaluating
 ExpositionDiscussion
 Encourage harmonious relationships in their classroom
 Board ExercisesSeatworkGroupingsTreasure HuntingPasaNotebook “The Mathematician” Account in FB.Problem SolvingGames“Mathinooot”Role PlayingSinging of Math ConceptsTutorial
 Scientific CalculatorGraphing PaperGraphing BoardProtractorVisual Aids Overhead ProjectorLCD ProjectorLaptopMath BooksWorkbooks
 SeatworkBoardworkDrillGroup Activity Individual ActivityLong TestUnit TestQuarterly ExamRecitationSinging of Math Concepts
 Advanced Algebra, Trigonometry and Statistics (Functional Approach)by Soledad JoseDilao, Ed. D.,Fernando B. Orines andJulieta G. BernabeAdvanced Algebra, Trigonometry and Statistics(Patterns and Practicalities)By Minie Rose C. Lapinid,Olivia N. Buzon, and Gladys C. NiveraAdvanced Algebra, Trigonometry and Statistics(Based on Basic Education Curriculum)By Amando A. Sarmiento and Romeo L. Villar

 Graph a function using a table of valuesUse the vertical line test in identifying functionsGraph a given function and determine its domain and range
 The Graph of a Function
 A graph in the rectangular coordinate plane represents a function y=f(x) provided that any vertical line intersects the graph in at most one point.
 Graphing a function
 DemonstrationDiscussion
 Selfdiscipline





 Determine increasing and decreasing functionDetermine the local maximum and the local minimum of a functionDetermine whether the function is even, odd or neither
 Characteristics of a Function
 The graph of an increasing function rises from left to right while the graph of a decreasing function falls from left to right.
 Determining the characteristics of a function
 ExpositionDiscussion
 PrecisionAccuracy





 Identify the six basic functionsVisualize a graph given an expression of a functionSketch the graph of functions in coordinate plane using vertical and horizontal shifts, compression and stretchesObserve the “spread” of a number of functions and reflections about x and y axis
 Techniques in GraphingVertical and Horizontal ShiftsCompressions and StretchesReflections about the Xaxis or the YAxis
 The six basic functions are:the constant functionthe identity functionthe absolute value functionthe square root functionthe squaring functionthe cubing function
 VisualizingIdentifyingSketchingObserving
 ExpositionDiscussionDiscovery
 OrderlinessAccuracyLogical thinkingDiligencePrecision





 Demonstrate understanding of operations on functions Perform operations on functions and on composite functionsManifest understanding of composite functions
 Operations on functionsComposition of Functions
 If f and h are functions:The sum f+h id defined as (f+h)x=f(x)+h(x)The difference fh is defined as (fh)x=f(x)h(x)The product f•h is defined as (f•h)x=f(x)•h(x)The quotient f/h is defined as (f/h)x=f(x)/h(x);h(x)≠0.
 DemonstratingPerforming OperationsManifesting
 ExpositionPractice
 PrecisionAccuracyOrderliness





 Define linear functionsManifest understanding of the slope of a lineGain skill in finding the slope of a line
 Chapter 2Linear and Quadratic FunctionsLinear Functions Defined: Slope of a Line
 A linear function is a function of the form f(x)=mx+b where m and b are real numbers. The graph of the linear function f is a line with slope m and yintercept b.
 DefiningFinding...
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