# Surface Areas and Volume

Activity Author

Surekha Waldia

Duration

40mins

Objective: Key Core Life Skill to be developed

Critical thinking, Problem Solving

Objective: Key Learning Domains to be developed

Remember, Understand, Application, Analysis

Implemented this in classroom

Yes

Objectives to be achieved

1. To learn to apply concept of Pythagorean Triples.2. To visualize that cylinder is three dimension form of two dimensional rectangle

Underlying Concept behind this activity

The idea behind giving this type of problem sum is to develop the spatial intelligence of the students while applying multiple concepts of perimeter, surface

Resources required for conducting the activity

a cylinder of the specific measurement as given in the problem, A thread or a sketch pen to mark around the cylinder

Class Activity Details

Problem Stated:

Step 1: Make the students work in a group of 3-4 students and give them just 5 mins to solve this problem.

Step 2: Ask them to create a cylinder with a piece of paper of the measurement given above and mark with pen the thread around it.

Step 3: Once the time is over ask each group to show their working for the same.

**Note: Twenty years ago, this puzzle appeared on a test administered to top-tier math students from 16 countries around the world. Only 10% of test takers got it right.**

** ***New York Times*’ Edward Rothstein wrote about this problem back in 1998:

**It is actually a beautiful solution, simple and startling enough so one almost has to take an object in hand and think about why it makes sense… Nothing could be a better illustration of the value of teaching a mathematical way of thinking. It requires different ways of examining objects; it might mean restating problems in other forms. It can demand a playful readiness to consider alternatives and enough insight to recognize patterns. Anyone who solves this problem starts to think differently about the world itself.**

Practice worksheets

Uploaded File

Brainstorming questions asked in class

1. Ask them what all concepts have they used in solving this question.

2. If they are unable to identify the concept then you can draw their attention toward Pythagorean Triples.

Evaluation parameters to assess the understanding of the students

Accurate, Clearly explained, Complete, Knowledgeable, Methodical, Precise

Impromptu changes made if any during activity, reasons

Any suggestions for other teachers while implementing this activity in classroom.

Maths is all about developing spatial understanding. Therefore such questions when worked as group activity help students who are weak in grasping such abstract concepts.