Number System

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Concept Map

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Textbook

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Additional Information

Useful websites

Watch the following video on the story of how numbers evolved. The video called Story of One tells how numbers evolved and the initial questions around number theory.

Teaching Outlines

Concept #1 - History of Numbers

Learning objectives

1. What is the story of numbers?
2. How did counting begin and learning distinguish between the quantity 2 and the number 2.
3. The number "2" is an abstraction of the quantity

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity 1
2. Activity 2

Concept #2 Number Sense and Counting

Learning objectives

1. Understand that there is an aspect of quantity that we can develop with disparate objects
   
2. Comparison and mapping of quanties (more or less or equal)
   
3. Representation of quantity by numbers and learning the abstraction that “2 represents quantity 2 of a given thing”
   
4. Numbers also have an ordinal value – that of ordering and that is different from the representation aspect of numbers
   
5. Expression of quantities and manipulation of quantities (operations) symbolically
   
6. Recognizing the quantity represented by numerals and discovering how one number is related to another number
   
7. This number representation is continuous.
   

Notes for teachers

This is not one period – but a lesson topic. There could be a few more lessons in this section. For example, for representing collections and making a distinction between 1 apple and a dozen apples. This idea could be explained later to develop fractions. Another activity that can also be used to talk of units of measure. Addition and subtraction have been discussed here – extend this to include multiplication and division).

Activities

1. Activity 1
2. Activity 2

Concept #3 Number Bases

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity 1 - Activity-1
2. Activity 2 - Activity-2

Concept #4 Place Value

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity 1 Activity-1
2. Activity 2 Activity-2

Math Fun

Usage

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