COURSE OUTLINE IN TEACHING MATHEMATICS IN THE SECONDARY GRADES COURSE TITLE : Teaching Mathematics and Secondary Grades COURSE CODE : BATRSMY NUMBER OF UNITS : 3 UNITS CONTACT HOURS : 3 HOURS PREREQUISITE : COURSE REQUIREMENTS : COURSE DESCRIPTION NONE Written Examinations/Major Examinations Problem Solving Group/Individual Solving Activity : This section focuses on possible lines of inquiry and gives details of the key student tasks and teacher questions which move the lesson forward. Gives details of possible student reactions and responses and possible misconceptions students may have. Gives details of teacher actions designed to support and scaffold student learning. Suggests questions a teacher might ask to evaluate whether the goals/learning outcomes are being/have been achieved. This evaluation will inform and direct the teaching and learning activities of the next class.Teacher as students begin to learn about quadratic equations, use this lesson plan and related video lesson to teach them the basics of quadratic equations. A hands-on activity will provide opportunities for identifying examples and further exploration. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. In class, the needs of all students, whatever their level of ability level, are equally important. In daily classroom teaching, teachers can cater for different abilities by providing students with different activities and assignments graded according to levels of difficulty so that students can work on exercises that match their progress in learning. Less able students, may engage with the activities in a relatively straightforward way while the more able students should engage in more open–ended and challenging activities COURSE LEARNING OUTCOMES: 1. 2. 3. 4. 5. 6. identify examples of quadratic equations. describe the difference between real solutions and not real solutions. distinguish real solutions from imaginary solutions on a graph. relate quadratic equations to real life. to enable students recognise quadratic equations to enable students use algebra, graphs and tables to solve quadratic equations 7. to enable students form a quadratic equation to represent a given problem 8. to enable higher-level students form quadratic equations from their roots COURSE CONTENT PRELIM and MIDTERM FINALS 1.SOLVING QUADRATIC EQUATIONS ● Solving Quadratic Equation by Extracting the square roots. ● Solving Quadratic Equation By Factoring ● Solving Quadratic Equation By Completing the Square 5. SOLVING QUADRATIC INEQUALITIES ● Find the roots of its corresponding equality ● Plot the points on the number line ● Test a number from each interval against the inequality ● Quadratic Inequalities in two variables ● Solving Problems involving Quadratic inequality 2. NATURE OF THE ROOTS OF A QUADRATIC EQUATION ● Nature of the roots of Quadratic Equation ● Sum and Product of the Roots ● Writing Quadratic Equation 3. SOLVING EQUATION TRANSFORMABLE TO QUADRATIC ● Solving Quadratic Equations That Are Not Written in Standard Form ● Solving Rational Algebraic Equations Transformable to Quadratic Equation 6.QUADRATIC FUNCTION ● Table based on the given linear function then construct study the example below 7. TRANSFORMING QUADRATIC FUNCTIONS FROM GENERAL FORM TO STANDARD FORM AND VICE VERSA ● Transforming Quadratic Functions from General Form to Standard Form 4. SOLVING PROBLEMS INVOLVING QUADRATIC EQUATIONS AND RATIONAL ALGEBRAIC EQUATIONS ● Answer the following problem providing to the teacher. ● Example 1 ● Example 2 ● Example 3 8. GRAPH OF QUADRATIC FUNCTIONS 9. EQUATIONS OF QUADRATIC FUNCTION ● FACTORING ● COMPUTING THE SQUARE ● DEMONSTRATION A FORMULA ● ZEROS OF QUADRATIC FUNCTIONS ● SOLVING PROBLEMS INVOLVING QUADRATIC FUNCTIONS GRADING SYSTEM Class Standing: 70% (OVERALL) Major Exams: 30% Passing Percentage for Professional and major subjects: 60% REFERENCES: Mathematics: Quarter 1 Module 1 Week 1 for Grade 9