The document outlines a lesson plan taught by teacher Shefsyn K. Y. to 8th standard students on ratios and proportions. The 45 minute lesson uses various activities and group discussions to help students understand key concepts of ratios, such as how ratios can be expressed as fractions and in terms of natural numbers. Students work in groups to write out ratios based on visual representations, such as colored dots and gems with varying quantities. The lesson aims to help students remember, understand, apply and create interest in the topic of ratios.

1. Self designed innovative lesson
Name of the teacher : Shefsyn. K. Y. Standard : Ⅷ
Name of the school : St. Joseph’s. H. S. S. Division : E
Subject : Mathematics Strength : 53
Unit : Ratio and proportion Date : 7/07/2014
Sub unit : Introduction – Ratio Time : 45 min
Curricular Statement
To learn about Ratios.
Content analysis
Terms : natural numbers, fraction, equal, relation, ratio.
Facts :
i. Ratio can be represented in fractional form.
ii. Ratios are usually expressed in terms of natural numbers.
iii. The quantitative relation between two amounts showing the
number of times one value contains or is contained within the
other are ratio.
Concept : The concept of introduction to ratios.
Definition : The quantitative relation between two amounts showing the
number of times one value contains or is contained within the
other are called ratios.
Process : The process of teaching and learning the introduction to ratios.
Process skill : comparing, calculating, generalizing, arriving at conclusion.
Symbol : ∶ is to

2. Learning outcomes
The pupil
i. Remembers the facts and concepts related to ratio.
ii. Develops understanding about ratio.
iii. Discriminates the above facts and concepts related to ratio.
iv. Detects the above facts and concepts related to ratio.
v. Design a new idea related to ratio.
vi. Applies the above facts and concepts in new and relevant situation.
vii. Creates interest in the study of ratio.
Pre requisites
Idea about relations of parts.
Learning aids
Classroom equipments, charts, mango cut outs, apple cut outs, circle cut outs,
roll up board.
Learning Strategies
Group discussion, group activity method.

3. Interaction procedure Pupil response
Introduction
To check the previous knowledge of the
students,
Teacher asks about relations of parts.
Teacher calls 5 students in front of the class.
Then she gave 3 apple cut outs and 2 yellow cut
outs and name that group into fruits. Then teacher
asks to the students,
What are the different ways of expressing relations
between the numbers of apples, mangoes and
fruits?
Teacher drives the students to reach the correct
response by asking the following questions.
 What part of the total are apples?
 What part of the total are mangoes?
 Mangoes are — of apples.
 Apples are — of mangoes.
Then she explains it will say in another way.
In 5 fruits 3 apples and 2 mangoes. So the ratio of
apples to mangoes is 3:2.
After that teacher calls another 2 students
and gives 10 circles for one student and 20 circles
for another student.
Then she asks,
 What part of the total did each of them get?
Students keenly observe.
Student replies
Apples are 3/5 of fruits.
Mangoes are 2/5 of
fruits.
2/3
3/2
Student replies
Student x gets 10/30 of
the total and student y
gets 20/30 of the total.

4. Interaction procedure Pupil response
Teacher explains once again
Student x gets 10/30 of the total and
student y gets 20/30 of the total that is 1/3 and
2/3. Student x gets 1/2 times what student y gets.
Student y gets 2/1 times what student x gets.
The ratio of what student x and y got is 1:2
To confirm the concept of ratio, teacher move on
to the various activities.
Class assignment
Activity Ⅰ
Teacher presents activity Ⅰ chart
Activity Ⅰ
I.
Write the ratio of blue to red.
II.
Write the ratio of orange to green.
III.
Write the ratio of brown to blue.
IV.
Write the ratio of pink to black.
V.
Write the ratio of violet to orange.
Students keenly observe.

5. Interaction procedure Pupil response
Teacher calls one student from each group and
tells to write the answer on blackboard.
Activity Ⅱ
Teacher presents activity Ⅱ chart.
Activity Ⅱ
 Write the ratio of blue dots to red dots.
I.
II.
III.
IV.
V.
Students from each group
will write the answers as
follows
I. 4:2
II. 4:7
III. 6:7
IV. 4:4
V. 5:3

6. Interaction procedure Pupil response
Teacher calls one student from each group and
asks to write the answer on the blackboard.
Activity Ⅲ
Teacher presents activity Ⅲ chart.
Activity Ⅲ
 Gems: I have a tube with 24 gems in it.
They are colored as follows.
3 Green 2 Blue 4 Yellow 6 Orange
1 Purple 1 Brown 6 Pink 1 Red
1. What is the ratio of orange to blue
gems?
2. What is the ratio of green to pink
gems?
3. What is the ratio of red to yellow
gems?
4. What is the ratio of green to red
gems?
5. What is the ratio of purple to yellow
gems?
6. What is the ratio of blue to red gems?
7. What part of the total are orange
gems?
8. What part of the total are green
gems?
Students from each group
will write the answers as
follows
I. 6:5
II. 7:8
III. 5:3
IV. 7:5
V. 9:6

7. Interaction procedure Pupil response
Teacher calls one student from each group and
asks to write the answer on the blackboard.
Review
I. What is the ratio of number of vanilla ice
cream to number of strawberry ice cream?
Follow up activity
Home assignment
I. What is the ratio of number of flowers to
number of leaves?
Enrichment activity
I. Prepare a chart regarding concept of ratio
using lively examples.
Example:
Write the ratio of number of homes to
number of trees.
Students from each group
will write the answers as
follows
1. 6:2
2. 3:6
3. 1:4
4. 3:1
5. 1:4
6. 2:1
7. 6/24
8. 3/24