Addition Strategies:
Front End Addition -
"I can use front end addition when I add numbers with two digits."
Example 1:
34 + 25
30 and 20 makes 50. 4 and 5 makes 9.
50+9 =59
Example 2:
34 + 27
30 and 20 makes 50. 4 and 7 makes 11.
50+ 11 --> 50 + 10 + 1 = 61
Subtraction Strategies:
Compensation -
"I can use compensation when I see a subtrahend that is an 8 or a 9 (or has an 8 or a 9 in the ones place)."
Example 1:
27-8
First, I will think 27-10 = 17. Now because I subtracted " 2" too many from the original equation, I will add " 2 " to the answer to make 19.
Example 2:
56-19
First, I will think 56-20 = 36. Now because I subtracted " 1 " too many from the original equation, I will add " 1 " to the answer to make 37.
Expanding the Subtrahend -
"I can expand the subtrahend when I solve a two-digit subtraction equation."
Example 1:
54-13
First, I can do 54-10 and then subtract 3 more.
Example 2:
45-27
First I can do 54-20 and then subtract 7 more.
Important Vocabulary:
Addend = a number that is added to another
Subtrahend = the number that is to be subtracted
Minuend = the quantity from which the minuend is to be subtracted
Sum = the answer in an addition equation
Difference = the answer in a subtraction equation
Equation = a statement that says two things are equal
Compensation -
"I can use compensation when I see a subtrahend that is an 8 or a 9 (or has an 8 or a 9 in the ones place)."
Example 1:
27-8
First, I will think 27-10 = 17. Now because I subtracted " 2" too many from the original equation, I will add " 2 " to the answer to make 19.
Example 2:
56-19
First, I will think 56-20 = 36. Now because I subtracted " 1 " too many from the original equation, I will add " 1 " to the answer to make 37.
Expanding the Subtrahend -
"I can expand the subtrahend when I solve a two-digit subtraction equation."
Example 1:
54-13
First, I can do 54-10 and then subtract 3 more.
Example 2:
45-27
First I can do 54-20 and then subtract 7 more.
Important Vocabulary:
Addend = a number that is added to another
Subtrahend = the number that is to be subtracted
Minuend = the quantity from which the minuend is to be subtracted
Sum = the answer in an addition equation
Difference = the answer in a subtraction equation
Equation = a statement that says two things are equal