Changes

7. This number representation is continuous.

7. This number representation is continuous.

=== Lesson 1 :  Quantity and Numbers ===

=== Lesson 1 :  Quantity and Numbers ===

'''Teacher Note''' - 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)

'''Teacher Note''' - 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)<br><br>

'''Objectives of the activity'''

'''Objectives of the activity'''

1. To develop an understanding that quantity is something we associate with objects and there are different ways of representing this

#To develop an understanding that quantity is something we associate with objects and there are different ways of representing this and that different objects have different measures of quantity

2. Different objects have different measures of quantity

#Represent quantity as numbers and express symbolically

3. Represent quantity as numbers and express symbolically

#Understand the difference between the ordinal value of a number and the representation of a quantity

4. Understand the difference between the ordinal value of a number and the representation of a quantity

#Manipulate numbers, perform mathematical operations and express these operations symbolically in mathematical language.

5. Manipulate numbers, perform mathematical operations and express these operations symbolically in mathematical language

<br>'''Materials needed'''<br>

<br>'''Materials needed'''<br>

1. Apples in two groups (or any other fruit)

*Apples in two groups (or any other fruit)<br>

2. Small cards for writing down the numbers as well as for writing the operations

*Small cards for writing down the numbers as well as for writing the operations<br>

3. Pencils, etc

*Pencils, etc<br>

4. A collection of other objects – stones, sticks, notebooks<br>

*A collection of other objects – stones, sticks, notebooks<br><br>

'''How to do the activity'''<br>

'''How to do the activity'''<br>

#This whole activity can be done in groups with different sets of objects

#This whole activity can be done in groups with different sets of objects

#Keep two group of apples separately.

#Keep two group of apples separately.

#Keep them in physically different arrangements.

#Keep them in physically different arrangements.

#Based on visual inspection and counting, determine the number of apples and which group is larger or smaller or if both are equal.

#Based on visual inspection and counting, determine the number of apples and which group is larger or smaller or if both are equal.<br>

<br>'''Questions for discussion:'''<br>

<br>'''Questions for discussion:'''<br>

*How can you describe the two groups? [ Words – red, large, small, more, less]

*How can you describe the two groups? [ Words – red, large, small, more, less]

*Manipulating the quantities.  By physically combining and representing them in numbers, introduce the idea of mathematical operations of addition and subtraction

*Manipulating the quantities.  By physically combining and representing them in numbers, introduce the idea of mathematical operations of addition and subtraction

'''Part 1'''

'''

Part 1'''

Bring the two groups of apples together.  Add Group 1 to Group 2. Describe what happens [ Words – more, large, big, add]<br>

Bring the two groups of apples together.  Add Group 1 to Group 2. Describe what happens [ Words – more, large, big, add]<br>

What did this process do?  I had two groups and I mixed them? What happened?<br>

What did this process do?  I had two groups and I mixed them? What happened?<br>