Changes

*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

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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>

Can I mix them like this all the time?  Why? Why not?<br>

*Can I mix them like this all the time?  Why? Why not?<br>

If I have apples and notebooks can I mix them? Why? Why not?<br>

*If I have apples and notebooks can I mix them? Why? Why not?<br>

Introduce the idea of “+”.  This process is called addition and is represented like this.<br>

*Introduce the idea of “+”.  This process is called addition and is represented like this.<br>

Let us separate the two again.  And count the number in each group. Add Group 2 to Group 1.  Does it matter? Are the results the same?

*Let us separate the two again.  And count the number in each group. Add Group 2 to Group 1.  Does it matter? Are the results the same?

This can be written as 5 + 6 = 11<br>

This can be written as 5 + 6 = 11<br>

'''''The “+” is called a mathematical operator.  The addition is called an operation.  These operations have some properties and they always hold''.'''<br>

'''''The “+” is called a mathematical operator.  The addition is called an operation.  These operations have some properties and they always hold''.'''<br>

'''Part 2'''

'''Part 2'''

Now from the large group take away some apples.  What happens to the number? What have we done?<br>

*Now from the large group take away some apples.  What happens to the number? What have we done?<br>

We have reduced the large group by 3 apples.  This can be written as 11 – 3 =8.

*We have reduced the large group by 3 apples.  This can be written as 11 – 3 =8. When I mixed two groups what did we do? And what are we doing when we are separating the two groups? This will introduce words like increase, decrease, subtract, opposite.<br>

When I mixed two groups what did we do? And what are we doing when we are separating the two groups? This will introduce words like increase, decrease, subtract, opposite.

*Pose this question like this – “ I added 5 apples to six apples to make it 11 apples.  What should I do to a bag of 11 apples to make it have 6 apples again”.  I take away 5.  This is called subtraction and is the inverse process of addition.<br>  

Pose this question like this – “ I added 5 apples to six apples to make it 11 apples.  What should I do to a bag of 11 apples to make it have 6 apples again”.  I take away 5.  This is called subtraction and is the inverse process of addition.   

'''''The “-” is called a mathematical operator.  The subtraction is called an operation.  These operations have some properties and they always hold''.'''

'''''The “-” is called a mathematical operator.  The subtraction is called an operation.  These operations have some properties and they always hold''.'''

'''Evaluation activities'''

'''Evaluation activities'''