Mathematics

Prathomsuksa 5
Vocabulary
structure
text
addition

the process of calculating the total of a group
of numbers
subtraction

the process of taking one number or amount away
from another number or amount
difference

the result of subtracting one number from another
sum

the total amount that you get when you add two or
more numbers together.
carry

to put a number into another column when
doing addition.
Listen and Answer Activity
Multiple intelligence
Multiple intelligence
Multiple intelligence
Multiple intelligence
Multiple intelligence
Multiple intelligence
Multiple intelligence
Multiple intelligence
Answer
Multiple intelligence
Time’s up
Addition Properties
and Subtraction Rules
What they are and how
they help
Addition Properties
• Commutative Property - Changing the order of
addends does not change the sum.
– Example 3 + 4 = 7; 4 + 3 = 7

• Identity Property - The sum of zero and any
number is that number.
– Example: 9 + 0 = 9; 0 + 5 = 5

• Associative Property - Changing the grouping of
addends does not change the sum.
– Example: (3 + 2) + 5 = 12; 3 + (2 + 5) = 12
Benefits of knowing the Addition
Properties
• Better fact mastery
– Memorization needs reduced.

• Increased number sense.
– Use order changes for easier groupings (complement
numbers = sums of 10 or 100)

• Short cuts in adding more than 2 numbers
– Group to allow more mental addition

• Better groundwork for algebraic concepts
– Solving for missing numbers or variables
Adding Two Digit Numbers with Regrouping
(Carrying)
• You add numbers by adding the digits in each
place value column from right to left. Add
each column starting with the ones place. If
the number is more than ten you regroup or
carry.
Example: Add 78 + 68 =?
Step-1: Line up the number by place value.
Step-2: Add the ones place. (7+8=16) 16 islarger
than ten so you have to regroup or carry.
Place the 6 under the ones place column
and place the 1 above the 7.
step-3: Add the tens place column
including the 1 you place above
the7.(1+7+6=14) then place the 14 next
to the 6 in the answer row.
Subtraction Rules
• Subtraction is the inverse of addition (it
“undoes” addition)
• The subtrahend is subtracted from the
minuend to find the difference.
• When the minuend is equal to the
subtrahend the difference is always zero.
• When zero is the subtrahend the
difference is always equal to the
minuend.

14 Minuend
-8 Subtrahend

6 Difference
How Subtraction Rules Help
• Use addition to check subtraction of larger
numbers.
• Faster recall of subtraction facts.
• Better responses in choosing the correct
operation in word problems.
Subtracting Two Digit Numbers with
Regrouping
(also called Borrowing or Renaming)
• Subtract numbers from right to left. If the
digit is not large enough to subtract from,
regroup or borrow one from the next place
to the left.
Example: 36-27=?

36

- 27
• 6 is less than 7, so borrow one from the 3.
The 6 become 16 and the 3 becomes 2.
Now subtract 7 from 16 = 9 Subtract 2 from
2=0

2 1
36

- 27
09
“The”

How to use ..
We use the when it is clear which thing or
person we mean
Example: -Who is the best player in your team?
(= there is only one best player)
- My office is on the first floor.
(= the first floor of the building)
the same
Example: We live in the same street.
(not in same street)
sun/ moon/ world/ sky/ sea/ country
Example: The sky is blue and the sun is shining.
Do you live in a town or in the country?
police/ fire brigade/ army
Example: My brother is a soldier. He’s in the army.
What do you think of the police?
top/ end/ middle/ left
Example: My house is at the end of the street.
The table is in the middle of the room.

musical instruments
Example: Paula is learning to play the piano.
We do not use the with:
television/ TV
Example: I watch TV a lot.
What’s on television tonight?
But
Can you turn off the television?
(= the TV set)
Breakfast/ lunch/ dinner
Example: what did you have for breakfast?
(not the breakfast)
Dinner is ready!
next/ last + week/month/year/summer/Monday etc.
Example: I’m not working next week.
(not the next week)
Did you have a holiday last summer?
(not the last summer)

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Multiple intelligence

  • 3. addition the process of calculating the total of a group of numbers
  • 4. subtraction the process of taking one number or amount away from another number or amount
  • 5. difference the result of subtracting one number from another
  • 6. sum the total amount that you get when you add two or more numbers together.
  • 7. carry to put a number into another column when doing addition.
  • 8. Listen and Answer Activity
  • 20. Addition Properties and Subtraction Rules What they are and how they help
  • 21. Addition Properties • Commutative Property - Changing the order of addends does not change the sum. – Example 3 + 4 = 7; 4 + 3 = 7 • Identity Property - The sum of zero and any number is that number. – Example: 9 + 0 = 9; 0 + 5 = 5 • Associative Property - Changing the grouping of addends does not change the sum. – Example: (3 + 2) + 5 = 12; 3 + (2 + 5) = 12
  • 22. Benefits of knowing the Addition Properties • Better fact mastery – Memorization needs reduced. • Increased number sense. – Use order changes for easier groupings (complement numbers = sums of 10 or 100) • Short cuts in adding more than 2 numbers – Group to allow more mental addition • Better groundwork for algebraic concepts – Solving for missing numbers or variables
  • 23. Adding Two Digit Numbers with Regrouping (Carrying) • You add numbers by adding the digits in each place value column from right to left. Add each column starting with the ones place. If the number is more than ten you regroup or carry. Example: Add 78 + 68 =?
  • 24. Step-1: Line up the number by place value.
  • 25. Step-2: Add the ones place. (7+8=16) 16 islarger than ten so you have to regroup or carry. Place the 6 under the ones place column and place the 1 above the 7.
  • 26. step-3: Add the tens place column including the 1 you place above the7.(1+7+6=14) then place the 14 next to the 6 in the answer row.
  • 27. Subtraction Rules • Subtraction is the inverse of addition (it “undoes” addition) • The subtrahend is subtracted from the minuend to find the difference. • When the minuend is equal to the subtrahend the difference is always zero. • When zero is the subtrahend the difference is always equal to the minuend. 14 Minuend -8 Subtrahend 6 Difference
  • 28. How Subtraction Rules Help • Use addition to check subtraction of larger numbers. • Faster recall of subtraction facts. • Better responses in choosing the correct operation in word problems.
  • 29. Subtracting Two Digit Numbers with Regrouping (also called Borrowing or Renaming) • Subtract numbers from right to left. If the digit is not large enough to subtract from, regroup or borrow one from the next place to the left.
  • 31. • 6 is less than 7, so borrow one from the 3. The 6 become 16 and the 3 becomes 2. Now subtract 7 from 16 = 9 Subtract 2 from 2=0 2 1 36 - 27 09
  • 32. “The” How to use .. We use the when it is clear which thing or person we mean Example: -Who is the best player in your team? (= there is only one best player) - My office is on the first floor. (= the first floor of the building)
  • 33. the same Example: We live in the same street. (not in same street) sun/ moon/ world/ sky/ sea/ country Example: The sky is blue and the sun is shining. Do you live in a town or in the country? police/ fire brigade/ army Example: My brother is a soldier. He’s in the army. What do you think of the police?
  • 34. top/ end/ middle/ left Example: My house is at the end of the street. The table is in the middle of the room. musical instruments Example: Paula is learning to play the piano. We do not use the with: television/ TV Example: I watch TV a lot. What’s on television tonight? But Can you turn off the television? (= the TV set)
  • 35. Breakfast/ lunch/ dinner Example: what did you have for breakfast? (not the breakfast) Dinner is ready! next/ last + week/month/year/summer/Monday etc. Example: I’m not working next week. (not the next week) Did you have a holiday last summer? (not the last summer)