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Page 1: Self designed innovative lesson

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ST THOMAS TRAINING COLLEGE, MUKKOLAKKAL

SELF DESIGNED INNOVATIVE LESSON

Prepared by

NISHA .B

Reg. No. 13386004

MATHEMATHICS

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SELF DESIGNED INNOVATIVE LESSON

Name of the teacher: NISHA .B standard: VIII

Name of the school : ST. MARY’S H.S.S PATTOM Division : S

Subject : MATHEMATICS Strength: 50

Unit : Ratio and Proportion Date : 23/7/2014

Subunit : Problems on Ratio Duration: 45 minutes

CURRICULAR STATEMENT

To workout problems on Ratios.

CONTENT ANALYSIS

TERMS: Ratio, Fractional forms, Triangle, Three measures.

FACTS: . A method to compare two quantities of the same kind with same unit in termed as ratio.

. Ratios can be written in terms of the smallest possible numbers after removing any common factors.

CONCEPT: Concept of the relation between two numbers and related problems

PROCESS: Process of teaching and learning the relation of parts.

PROCESS SKILLS: Observing, Inferring, Classifying, and Calculating.

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LEARNING OUTCOMES

The pupil:

I. remembers above facts, concept etc. related to the problems on Ratio. II. develops understanding above facts, concept etc. related to the problems on Ratios.

III. applies above facts concepts etc. in new and relevant situations. IV. discriminates the above facts, concept etc related to the problems on Ratio. V. detects the above facts, concept etc related to the problems on Ratios.

VI. designs new idea related to calculating the problems on Ratios. VII. develops skill related to solving the problems on Ratio.

VIII. creates interest in solving the different types of problems on Ratios.

PRE REQUISITES: Identification of the problems, calculating the Problems.

LEARNING AIDS: Ordinary classroom equipments, Charts.

LEARNING STRATEGIES: Group discussion , Group activity method.

INTERACTION PROCEDURE PUPIL’S RESPONSES

Introduction

Teacher: How many sides are there in a triangle?

Teacher draws a triangle, then teacher asks the students

can you find the ratio of each sides of the

triangle?

A triangle has 3 sides .

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INTERACTION PROCEDURE

6 c m 5cm

8 cm

Teacher: today we are going to find the ratios of three

measures.

Teacher shows a chart with magic circle in which 3

Different Colors of beads were pasted.

Then teacher gives the ratios of each color. Colors are

Yellow, black and green.

chart

PUPIL’S RESPONSES

No responses.

Students keenly

observe

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INTERACTION PROCEDURE

The ratio of black, Yellow and Green beads are in

3:2:1.The total no. of beads is 30.

Teacher asks the students , can you find the no. of each

color of beads without counting

First, we find the sum of ratio.

What is the sum of ratio?

Then what is fraction of black beads?

Yellow beads =

Green beads =

There for , no. of black beads =30*3/6 = 15

No. of yellow beads =

No. of green beads =

Then teacher calls a student for counting the

no. of beads in the circle.

Teacher: The above answers and counted beads are in

same number. Then teacher shows another chart and

then asks the students to find the ratio of the beads.

PUPIL’S RESPONSES

No response

6

3/6

2/6

1/6

30*2/6= 10

30*1/6 = 5

Students actively

Participate

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INTERACTION PROCEDURE

The chart in which a beautiful circle with different

colour of beads.

CHART

THREE MEASURES

Then teacher gives the no. of green beads is 20.

No. of blue beads is 10.No. of black beads is 15.

Then teacher asks the students to find the ratio of black,

green and blue beads. Teacher can you find the total no. of beads

in this circle?

PUPIL’S RESPONSES

Students

observe the

chart

Yes it has 45 beads.

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What the fraction of green beads =

Fraction of black beads =

Fraction of the blue beads =

So the number of beads is 45.

The ratio of black, green and blue =

ACTIVITY 1

Teacher gives question of introductory part.

6cm 5cm

8cm

What is the ratio of the sides of the triangle?

ACTIVITY 2

3.5cm 2.5cm

4cm

Find the ratio the sides of the triangle?

20/45

15/45

10/45

10:20:15

Fractional forms

are

6/19,5/19,8/19

Ratio = 6:5:8

Fractional forms are

3.5/10 = 35/10 = 7/20

25/100=1/4 = 5/20

4/10 = 8/20

Ratio = 7:5:8

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INTERACTION PROCEDURE

ACTIVITY 3

Give a circle with 3 colors of dotes. Find the no. of different colors.

The ratio of the red violet and Yellow dotes is 3:2:4.

CLASS ASSIGNMENT

Ali put up 40,000 rupees Jose 20,000 rupees and John

50,000 rupees. To start an agency .What is the ratio of their investment?

PUPIL’S RESPONSES

Ratio of the dotes

= 3:2:4

Sum of ratio =9

No. of red dotes

= 4/9*27

=12

No. of violet dotes

= 2/9*27

=6

No. of yellow dotes

= 3/9*27

=9

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INTERACTION PROCEDURE

FOLLOW UP ACTIVITY

HOME ASSIGNMENT

In a contest, the first gets 1000 rupees as prize,

the second gets 600 rupees and third 400 rupees .

What is the ratio of prize Money?

ENRICHMENT ACTIVITY

The perimeter of a triangle is 60cm and its sides are in the

ratio 4:5:6. What are length of sides?

PUPIL’S RESPONSES