The document describes a self-designed lesson plan by Nisha B for teaching ratios to 8th standard students. The lesson involves finding ratios of sides of triangles and quantities of beads of different colors. Students will practice finding ratios when total quantities and numbers of different parts are given. As a follow up activity, students are assigned questions to find ratios of prize money and sides of triangles given additional information.

1. ST THOMAS TRAINING COLLEGE, MUKKOLAKKAL
SELF DESIGNED INNOVATIVE LESSON
1
Prepared by
NISHA .B
Reg. No. 13386004
MATHEMATHICS

2. 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
2
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.

3. LEARNING OUTCOMES
3
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 .

4. INTERACTION PROCEDURE
6 c m 5cm
4
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

5. INTERACTION PROCEDURE
The ratio of black, Yellow and Green beads are in
5
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

6. INTERACTION PROCEDURE
The chart in which a beautiful circle with different
6
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.

7. 7
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

8. INTERACTION PROCEDURE
8
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

9. 9
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