Signaler

Partager

Suivre

•4 j'aime•843 vues

•4 j'aime•843 vues

Signaler

Partager

Télécharger pour lire hors ligne

Outcomes-Based Teaching Learning Plan in College and Advanced Algebra for BSED-Math Students in College

Suivre

- 1. GOV. ALFONSO D. TAN COLLEGE Bachelor of Secondary Education Major in Mathematics (BSED-Math) Outcomes – Based Teaching and Learning Plan in ME 102 Alfonsos as Lux Mundi: Serving Humanity with Empowered Mind, Passionate Heart and Virtuous Soul Course Title College and Advanced Algebra Course Code ME 102 Credit Units 3 Course Pre-/Co-requisites NONE Course Description (Based on the CMO No. 75 Series of 2017) The course builds upon the students’ knowledge on properties of the real number system, operations on different types of algebra expressions, and the solution of various types of equations and inequalities. The course also covers the prerequisites to trigonometry and calculus, specifically transcendental and non-transcendental functions, including the characteristics of their graphs and applications. Intended Learning Outcomes (ILO) BEED and BSED graduates will have the ability to: Articulate the rootedness of education in philosophical, socio-cultural, historical, psychological, and political contexts. b. Demonstrate mastery of subject matter/discipline. c. Facilitate learning using a wide range of teaching methodologies and delivery modes appropriate to specific learners and their environments. d. Develop innovative curricula, instructional plans, teaching approaches, and resources for diverse learners. e. Apply skills in the development and utilization of ICT to promote quality, relevant, and sustainable educational practices. f. Demonstrate a variety of thinking skills in planning, monitoring, assessing, and reporting learning processes and outcomes . g. Practice professional and ethical teaching standards sensitive to the local, national, and global realities. h. Pursue lifelong learning for personal and professional growth through varied experiential and field-based opportunities. Program Intended Learning Outcomes (PILO) (Based on the CMO No. 75 Series of 2017) BSED-Mathematics graduates will have the ability to: i. Exhibit competence in mathematical concepts and procedures. j. Exhibit proficiency in relating mathematics to other curricular areas. k. Manifest meaningful and comprehensive pedagogical content knowledge (PCK) of mathematics. l. Demonstrate competence in designing, constructing and utilizing different forms of assessment in mathematics. m. Demonstrate proficiency in problem-solving by solving and creating routine and non-routine problems with different levels of complexity. n. Use effectively appropriate approaches, methods, and techniques in teaching mathematics including technological tools. o. Appreciate mathematics as an opportunity for creative work, moments of enlightenment, discovery and gaining insights of the world. Course Intended Learning Outcomes (CILO) At the end of this course, the students should be able to: a. demonstrate knowledge, understanding, ability to use algebraic principles to analyze and solve problems; b. appreciate the value of mathematical method as shown by using Algebraic Method in solving daily line problem; c. gain considerable learning experiences on fundamental concepts in mathematics developed in a meaningful context; d. deepen understanding of the many phases of mathematics and their applications to other branches of learning; e. develop skills in mathematical operations and solving exercise; f. acquire skills in problem solving, solving and graphing equations, evaluating and extending;
- 2. acquire and develop appropriate strategies in teaching advanced algebra; MIDTERM Essential Learning Intended Learning Outcomes (ILO) Suggested Teaching/Learning Activities (TLAs) Assessment Tasks (ATs)Week Content Standards Declarative Knowledge Functional Knowledge 1-2 Demonstrate Understanding of Sets and Numbers Introduction and Orientation 1. Grading System 2. VMGO 3. School Policies, Rules and Regulations Sets and Numbers - Concept of Sets -Set Operation -The Real Number System -Properties of Real Numbers -Discussing the Concept of Sets -Performing the sets operations -Defining and discussing the real Number System -Discussing the Properties of Real Numbers and giving examples -describe sets and cite examples -perform the different operations of sets -illustrate the real Number System -define each property of real numbers and construct various examples Board Work Group Activity with output Brainstorming Group Interactive Discussion (Jig Saw, Thinking Dots) Evaluative Quiz Group Performance involving sets with rubrics Demonstrate Understanding of Polynomial Polynomials -Definition of terms -Addition and Subtraction polynomials -Multiplication and division of polynomials -defining the terms in Polynomials -discussing the process in adding, subtracting, multiplying and dividing polynomials -define each terms in Polynomials -Add and subtract polynomials -multiply and divide polynomials Board Work Think-Pair Share Jig Saw Cubing Evaluative Quiz Oral Recitation Group Performance involving sets with rubrics 3 Demonstrate Competence in Special Products and factoring -Special Products -Factoring -discussing each pattern in special products -discussing each pattern in factoring -apply each pattern in performing special products -factor polynomials by using its pattern Board Work Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Group Activity with output Demonstrate Understanding in Rational Expressions Rational Expressions -Simplifying rational expressions -complex factions -discussing the process in simplifying rational expressions -discussing the process in operating complex fractions -simplify rational expressions -operate complex fractions; add. Subtract, multiply and divide Board Work Group Activity with output Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation 4 Demonstrate Understanding in Exponents and Radicals Exponents and Radicals -Law of exponents -Negative Exponents -Fractional exponents and radicals -addition, subtraction, multiplication and division of radicals -discussing the process of operating the law of exponents and negative exponents -discussing the process in converting fractional exponents into radicals -discussing the processes in operating radicals -apply the laws of exponents in performing algebraic expressions -convert fractional exponents into radical forms -add, subtract, multiply and divide radicals Board Work Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Group Activity with output Demonstrate Understanding in Linear Equations and Word Problems Linear Equations and Word Problems -Definition of terms -Translation of English phrases into algebraic expressions -Word problems involving one -discussing the terms in linear equations -discussing the process in translating English phrases into algebraic expressions -discussing how to solve word -define the terms in Linear Equation -translate English Phrases into algebraic Expression -Solve word problems involving one unknown variable Board Work Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Group Activity with output
- 3. unknown problems involving one unknown 5 Demonstrate Understanding in Systems of Linear Equations System of Linear Equations -Systems of Linear -Equation in two unknowns -Systems of linear equations in three unknowns -Word problems involving one unknown -discussing the systems in linear equations; consistent, independent and inconsistent -discussing the process in solving linear equations in three unknowns -discussing how to solve word problems involving one unknown -find the solution sets of systems of linear equation -solve systems of linear equation in two and three unknown using algebraic methods -solve word problems involving unknown variables Board Work Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Compilation of word problems involving linear equations in unknown variables with complete set of solutions 6 Demonstrate Understanding in Quadratic Equations Quadratic Equations -Method of Solving Quadratic Equations -Characteristics of roots -Word Problems involving quadratic Equations -discussing the Methods in Solving quadratic equations -discussing the characteristics of roots -explaining how to solve word problems with quadratic equations -solve Quadratic equation by factoring, completing the square and quadratic formula -explain the characteristic of roots of quadratic equation -solve word problem by using quadratic equation Board Work Group Activity with output Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Compilation of word problems involving quadratic equations with complete set of solutions Demonstrate Understanding in Inequalities Inequalities -Typesand properties of inequalities -Solution set of inequalities -discussing the types as well as the properties of inequalities -explaining the solution set of inequalities -define each type and property of inequalities -find the solution set of inequalities Board Work Group Activity with output Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Group performance in solving inequalities 7 Demonstrate Understanding in Polynomial equations Polynomial Equations -Definition of terms -The remainder theorem -the Factor theorem -Rational roots -discussing each terms -discussing the process of remainder theorem -discussing the process of factor theorem as well as the rational roots -define each term in polynomial equations -solve equations using the remainder and factor theorem -explain and determine rational roots Board Work Group Activity with output Brainstorming Group Interactive Discussion -Evaluative Quiz -Oral recitation -Group performance in solving polynomial equations using remainder theorem and factor theorem 8 Demonstrate Understanding in Proportion and Variation Proportion and Variation -Ratio and Proportion -Principles of Variation -Word Problems -discussing the process in computing ratio and proportion -discussing the principles of variation -solve the ratio and proportion -apply the principles of variation in solving a problem- *solve word problem involving ration, proportion and variation Board Work Group Activity with output Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Group performance in solving word problems of ratio and proportion 9 Demonstrate Knowledge in Binomial Theorem Binomial Theorem -Pascal’s Triangle -Binomial Theorem -discussing the process of Pascal’s Triangle -discussing the concept of binomial theorem -apply the concept of Pascal’s triangle in solving mathematical problems -use the binomial theorem in solving and proving equations Board Work Group Activity with output Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Concept Paper about Binomial Theorem 10 Demonstrate Understanding in Sequences and Series Sequences and Series -Arithmetic Progression -Geometric Progression -Word Problems -discussing the process of Arithmetic and Geometric Progression -perform arithmetic progression -apply the concept of geometric progression -solve word problems involving Arithmetic and Geometric Progression Board Work Group Activity with output Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Group Performance in solving problems involving Arithmetic and Geometric Progression FINALS
- 4. 11 Demonstrate Understanding in Functions and Their Graphs Functions and Their Graphs -Meaning of Function -Function Notation -Operations on Functions -Applications of Functions -discussing the meaning of function and its notation -discussing the operations and applications of functions -define function -illustrate function notation -solve problems involving operations of functions and their application Group Activity with output Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Group Activity with output 12 Demonstrate Understanding in Linear Functions Linear Functions -Linear Function -Two-Point Form -Intercept Form -Slope-Point Form -Slope-Intercept Form -Characteristics of the graph of a linear function -Application of Linear Function -discussing linear function -discussing the forms of linear function: two-point, intercept, slope-point form. -discussing the characteristics of the graph of a linear function and its application -illustrate the forms of linear function -solve problems involving the concept of linear functions -explain the application of linear function in real life Board Work Group Activity with output Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Group Activity with output 13 Demonstrate Understanding in Quadratic Function Quadratic Function -Quadratic Function -Characteristics of the graph of quadratic function -Roots/Zeros of Quadratic Functions -Graphs of Quadratic Functions -Forming Quadratic Functions when Roots/Zeros are given -Application of Quadratic Function -discussing quadratic function and the characteristics of its graph -discussing the roots/zeros of quadratic functions and its graphs -discussing how to quadratic function when the roots are given -discussing the application of quadratic functions -describe the characteristics of the graph of the quadratic function - find the roots/zeros of quadratic functions -graph the quadratic function -form quadratic functions when roots/zeros are given -explain the application of quadratic function Board Work Group Activity with output Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Group Activity with output 14 - 15 Demonstrate Understanding in Polynomial Function Polynomial Function -Polynomial function -The Remainder theorem -The Factor theorem -The Synthetic Division -Graphs of Polynomial Function -defining Polynomial function -discussing the process of remainder theorem -discussing the process of factor theorem as well as the process of synthetic division -discussing how to graph polynomial function -define polynomial function and its concept -use the remainder theorem, factor theorem and synthetic division in solving given problems -illustrate the graphs of polynomial function Board Work Group Activity with output Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Group performance in graphing polynomial function 16 – 18 Demonstrate Competence in Exponential and Logarithmic Functions Exponential and Logarithmic Functions - The Exponential Function - Characteristics of the Graphs of Exponential Functions -The Logarithmic Function -Characteristics of the Graphs of Logarithmic Functions -Laws of Logarithms -Natural Logarithms -discussing exponential function and the characteristics of its graphs -discussing logarithmic function and the characteristics of its graphs -discussing the Laws of Logarithms and the Natural Logarithms -discussing the applications of Exponential and Logarithmic Functions in the modern world. -solve problems involving exponential and logarithmic functions -graph the exponential and logarithmic functions by considering their characteristics -perform activities involving the Laws of Logarithms and the Natural Logarithms -cite situations where Exponential and Logarithmic functions are put into application Board Work Group Activity with output Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Group performance in graphing solving expressing using the Exponential and Logarithmic Function
- 5. -Application of Exponential and Logarithmic Functions 19 - 20 Demonstrate Competence Complex Numbers Complex Numbers -Algebraic Definition of Complex Numbers -The Concept of Complex Number System and its Graphs -Operations of Complex Numbers -Application of Complex Numbers in Problem Solving -discussing the algebraic definition of complex numbers -discussing the concept of complex number system and tis graph -discussing the operations of complex numbers and applications of Complex number in problem solving -solve expressions with complex numbers -illustrate the concept of complex number and its graphs -perform the operations of complex numbers -apply complex numbers in solving problems Board Work Group Activity with output Brainstorming Group Interactive Discussion Evaluative Quiz Oral recitation Make a concept paper on the importance and applications of complex numbers Basic Readings Dayrit, B. C. (2002). Modern Algebra. Revised Edition. Rex Printing Company Inc., Quezon City. Visco, S.B. and Silang L. R (2003). Modules in College Algebra, Great Books Trading. Philippines Blitzer, Robert. (2010) Algebra and Trigonometry. 4th ed. Upper Saddle River, New Jersey: Pearson Education, Inc. Coburn, John W. (2010) Algebra and Trigonometry. 2nd ed. Boston: McGrawHill Castillo, Leticia L.et al. (2008) College Algebra and Trigonometry. Mandaluyong City: National Book Store Extended Readings To be provided Course Assessment As identifiedin the Assessment Task
- 6. Course Policies LanguageofInstructions English Attendance As identifiedin the student handbook Homework,Quizzes,and Compilation Special Requirement GradingSystem Quiz – 30% Performance –40% Exam – 30% Total 100% Classroom RulesandRegulations Must Exercise Honesty all the time Committee Members CommitteeLeader : Elton John B.Embodo Members : Consultation Schedule FacultyMember : EltonJohn B. Embodo ContactNumber : 09107619989 E-mailaddress : eltonjohn439@yahoo.com ConsultationHours: 8:00AM-5:00PM Wednesday TimeandVenue : 8:00AM-5:00PM ITEOffice Course Title A.Y. Term of Effectivity Prepared by Approved by Page/s College and Advanced Algebra 2018– 2019 Elton John B. Embodo, LPT Instructor Love H. Falloran, MSCrim, LLB VP for Academics 6