Probability

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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Introduction

A brief history of how probability was developed within the discipline of mathematics. Random processes can be modelled or explained mathematically by using a probability model. The two probability models are a) Experimental approach to probability b) Theoretical approach to probability. The basic principle of counting is covered.

Concept Map

[maximize][fold]

Textbook

Please click here for Karnataka and other text books.
Karnataka text book for Class 10, Chapter 05-Probability

Additional Information

Useful websites

1. To get the information about probability click here

Lessons and activities:

http://www-tc.pbs.org/teachers/mathline/lessonplans/pdf/esmp/chancesare.pdf http://www.bbc.co.uk/schools/teachers/ks2_lessonplans/maths/probability.shtml

Activities on Probability:

http://www.cimt.plymouth.ac.uk/projects/mepres/allgcse/as5act1.pdf

How to teach probability

http://nrich.maths.org/probability http://nrich.maths.org/9853

Possible video resource for dubbing

1. https://www.youtube.com/watch?v=QpfMwA0z_1Y
2. https://youtu.be/Ki0ROFD8MzU

Reference Books

1. http://www.teachingideas.co.uk/maths/probabilitycards.htm
2. http://www.teachingideas.co.uk/maths/files/probabilitycards.pdf

Teaching Outlines

Concept #1 Introduction to Probability

Learning objectives

1. Understand that events occur with different frequencies
2. Different events have different likelihoods (likely, unlikely, equally likely, not equally likely)
3. Understand the idea of sample space and universe of events

Notes for teachers

1. To understand likelihood of events happening
2. The objective here is not numerical computation but to understand events, likelihoods and vocabulary of description. The activity can be done in groups/ pairs. Not a whole class activity.
3. Compare the results across groups.
4. To develop an understanding of what chance means?

Activities

1. Activity No #1 probability_introduction_activity1
2. Activity No #2 probability_introduction_activity2

Concept #2 Different types of events

Learning objectives

1. Understand elementary and compound events and construction of such events
   1. Complementary events
   2. Independent events / Mutually exclusive events

Activities

1. Activity No #1 probability_types_of_events_activity1
2. Activity No #2 probability_types_of_events_activity2

Concept #3 Conditional probability

Activities

1. Activity No #1 Concept Name - Activity No.
2. Activity No #2 Concept Name - Activity No.