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ACTION PLAN MATHEMATICS CLASS IX 4 PERIODS PER WEEK By NASIRA ATEEQ. From Defence Authority Public School O & A Levels Phase VIII. Contents. Bloom’s Taxonomy: Old and New Version Long-term Goal Short-term Goal Instructional Strategies and Tasks Concept of Quadratic Equation
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ACTION PLAN MATHEMATICS CLASS IX 4 PERIODS PER WEEK By NASIRA ATEEQ From Defence Authority Public School O & A Levels Phase VIII
Contents • Bloom’s Taxonomy: Old and New Version • Long-term Goal • Short-term Goal • Instructional Strategies and Tasks • Concept of Quadratic Equation • Quadratic Formula • Factorizing of Quadratic Equations • Solutions to Anticipated Challenges • Newsletter Sample • Timeline • Resources • Conclusion
BLOOM’S TAXONOMY OLD VERSION
TOPIC QUADRATIC EQUATIONS
Long-term goals • Adopt 21st century teaching approaches to enhance student’s appreciation of scientific facts. • Understanding, managing, and creating effective oral, written and multimedia communication in a variety of forms and contexts. • Analyzing, accessing, managing, integrating, evaluating and creating information in a variety of forms and media. • Demonstrating teamwork and leadership, working productively with others. • Ability to frame, analyze and solve problems.
SHORT TERM GOALS/LEARNING OBJECTIVES: Introduce the basic concept of quadratic equation. Explain how to solve the quadratic equation. Understand the main features of quadratic equations. Focus on the mathematical process students use to get an answer, not just the answer itself. Encourage collaboration among students
Instructional Strategies and Tasks I will ask questions that require students to get an idea of quadratic equations. I will solve the equations with the different methods to differentiate between them. I will provide students with time for group discussions. I will allow them to solve mathematical problems from exercise. I will tell them to make a power point presentation.
Concept of a Quadratic Equation • In mathematics, a quadratic equation is a polynomialequation of the second degree. The general form is ax² + bx + c = 0, where x represents a variable, and a, b, and c are constants with a ≠ 0. (If a = 0, the equation becomes a linear equation.) • The constants a, b, and c, are called respectively, the quadratic coefficient, the linear coefficient and the constant term or free term. The term "quadratic" comes from quadratus, which is the Latin word for "square". Quadratic equations can be solved by factoring, completing the square, graphing, Newton's method, and using the quadratic formula (given below). • One common use of quadratic equations is computing trajectories in projectile motion. Another common use is in electronic amplifier design for control of step response and stability.
Quadratic formula • The roots are given by the quadratic formula • x = (- b± √ b² - 4ac ) ÷ 2a where the symbol "±" indicates that both • x = (- b+ √ b² - 4ac ) ÷ 2a • x = (- b- √ b² - 4ac ) ÷ 2a are solutions of the quadratic equation.
Factorizing Quadratic Equations • You can also factorize quadratic equations. Remember that factorizing an equation simplifies it in some way. Factorizing is the reverse of expanding brackets. • Factorizing quadratic equations • To factorize an equation such x2 + 5x + 6, you need to look for two numbers which add up to make 5 and multiply to give 6 • The factor pairs of 6 are 1 and 6, 2 and 3 • 2 and 3 add up to 5 • So (x +2 ) (x+3) = x2 + 5x + 6
CHALLENGES The students may find this topic boring. There may be some students who do not want to work together SOLUTIONS I will conduct activities in class. I will randomly group students with all class members. Solutions to Anticipated Challenges
What happened in Math's class this week: Students learned about the concept of Quadratic Equations. Students used MS Word for making assignment. They learned different methods for solution of quadratic equations. Power point presentations were made for the same using daily life examples. Students learned to work in groups which were made by random selection. Bloom’s Taxonomy was found very useful for conducting the above activities. NewsletterDAPS (O&A levels)Grade IX By Ms. Nasira Ateeq April 28, 2011
Resources • Books • Anton, Howard (1980), Calculus with Analytical Geometry, Wiley, ISBN978-0-471-03248-9 • Internet • The Wolfram Functions Site gives formulae and visualizations of many mathematical functions. • http://www.mathsisfun.com/sets/function.html • Word processing & multimedia applications • Intel Teach Program Getting Started Course manual
Conclusion By utilizing the newly acquired 21st century teaching approaches to introduce QUADRATIC EQUATIONS to my students along with the use of Bloom’s Taxonomy, students will be able to apply Quadratic Equations to solve our daily life problems.