Grade/Class SSC-II Subject: Mathematics Topic: Partial Fractions
Topic & Sub Topic: Resolution of Fraction into Partial Fractions
Time duration: 45 minutes to 1 hour
Content: Methods: Partial Fractions, Proper, Improper and Rational Fraction
General Objectives: Upon completion of this lesson
Students will be able to find the partial fraction decomposition of a rational expression, Proper, Improper and Rational Fraction, Resolution of Fraction into Partial Fractions.
Students will be able to:
Resources/ Materials: whiteboard ,markers and eraser
The class will begin with a warm up on simplifying quadratic expressions. Then, the students will be presented with a soccer problem that describes the path of the soccer ball and they will solve it to find out how long it takes to hit the ground.
I will show the students that there are many ways to solve this problem. We will discuss the different ways that they came up with. Then I will tell them how some methods will allow us to solve all quadratic equations. I will chunk the different methods and allow time for the students to practice and solve.
Students will have 4 problems of each method to solve. I will place one on the board, walk around and help if needed, then show them how to do it. I will have students put their answers on the board.
I will have students write on note cards a problem that they create themselves. They must really understand it in order to create their own equation
Students will have a summarizer problem that they must solve before they leave. It will be a tough equation and they will be able to use any method they want to solve.
Homework: Do Exercise 4.2 Question No 1 to 8 on note book.
Total Marks 15
Q No 1 Write short answers of the following questions.
iii. Write the Partial Fraction Decomposition for the rational expression ............................. (5 Marks)
The students will have homework problems over solving and a quiz the next day.