LESSON PLAN Name of the teacher : Anjana .A Standard : IX Name of the school : St.vincent ‘s H .S.Kaniyapuram Date : 25.07.2014 Subject : Mathematics Duration : 40 min Unit : Pairs of equations Strength : 40 Subunit : pairs of equations CURRICULAR STATEMENT Computing the value of the numbers in the equations if the equations have only one unknown numbers. CONTENT ANALYSIS TERMS : Equations, Variables. FACTS : 1.Variables are the letters used to denote numbers in algebraic expressions. 2. Mathematical expressions with equal signs are equations. CONCEPT : The concept of pairs of equations . PROCESS : Process of finding the values of unknown numbers . PRE-REQUISITES Equations,terms TEACHING LEARNING RESOURCES CC CCharts showing equations, internet resource Class room interaction procedure Pupil response Activity 1 : Introduction TT The teacher asks some informal questions to create a friendly rapport with the students . Teacher triggers the thought of the learners by asking. Certain questions which lead to the Previous knowledge. Teacher asks the below mathematical concepts Converted in to equations . 1. The number of boys and girls in a classroom is 42. x+y =42 , x is the no.of boys . y is the no.of girls . 2. The difference of two numbers is 7 . 3. The length of the rectangle is three times larger than the breadth of the rectangle . x-y = 7 x is the breadth of the rectangle then the length of the rectangle is 3x . Class room interaction procedure Pupil response Yes ,very good you tell the right answers . Activity 2 : Development Any one of you defines the term equations ? Ok, all of you known about equations right ? Mathematical expressions With equal signs are equations. Yes Now we are going to study about pairs of equations . I will give you a simple question you think and answer it .Ok ? Ok Three books of the same price and a pen for five rupees were brought for thirty five rupees .What Is the price of one book ? Price of one book is Rs 10 How do you get the answer ? Cost of a pen is Rs 5 Cost of three books = Rs 30 So,cost of one book = 30 /3 =Rs 10 Very good Class room interaction procedure Pupil response ACTIVITY 3 The process of introducing the known numbers. We can go through a problem . The perimeter of a rectangle is 20 cm ; and its length is 2 cm more than the breadth. Draw a rectangle ? What is the length of each side ? 20cm The perimeter of a rectangle is ? What about the length of the rectangle ? Its length is 2cm more than the breadth of the rectangle . No Do you know the breadth of the rectangle? Then how can you find the length ? Yes Here breadth is unknown right ? Yes So we can take breadth as a unknown number . Do you agree with me ? How we can denote it ? How ? We can denote it by using Variables . Take the unknown number as x. Breadth = x Class room interaction procedure Pupil response Ok, your answer is in the right way. Then what about its length ? Its length is 2 cm more than the breadth. length = x + 2 Correct ,then we will find the value of X right ? How can we find it ? yes Perimeter of rectangle is 20 cm. Then 2 [x+x+2] =20 2x+2 =10 X+1 =5 X =4 So we find the value of unknown number that is Its breadth, right ? yes Then find its length ? Length = 4+2 = 6 cm Activity 4 : Group activity Divided the students in to two groups and gave two problems . Group 1 In a box there are black and white beads . The number of black beads is eight more than the number of white beads and the total number of beads are four times the number white beads . How many black and how many beads are there In the box ? Class room interaction procedure Pupil response Group 2 In a box there are black and white beads . The number of black beads is 5 more than the number Of whit beads, and the total number of beads is three times the number of white beads . How many black and how many beads are there in the box ? Group 1 The no .of white beads =x The no.of black beads =x+8 The total no.of beads =4x We get the equation X+(x+8) =4x 2x +8 =4x 2x =8 X =4 Group 2 The no.of white beads =y The no.of black beads =y+5 The total no.of beads =3y We get the equation Y+(y+5) =3y 2y+5 =3y y = 5 Class room interaction procedure Pupil response Ok, tell the answer Group 1 No.of white beads =x =4 No.of black beads =x+8 =4+8 =12 Group 2 No .of white beads =y =5 No.of black beads =y+5 =5+5 =10 So , do you understand how to find the Value of unknown numbers ? yes REVIEW 1.What is mean by an equation ? 2. In this chapter how we can used variable ? FOLLOW –UP ACTIVITY 1. The perimeter of a rectangle is 20 cm and its length 2 cm more than the breadth . What is the length of each side ? 2. When five pens were bought together , the total price was reduced by three rupees and only seventeen rupees had to be paid . Had they been bought one by one , how much would have been the price of each pen ?