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Mathematics 5
MARIA CRISTINA A. VILLARALVO
Teacher Tinay (Tacurong National High School)
Objectives:
2. Solves routine problems involving
division without any other operations of
fractions and whole numbers.
1. Identifies the steps in problem
solving.
3. Demonstrates the value of sharing.
Teacher Tinay (Tacurong National High School)
Write the simplest form of each of the
following fractions.
1. )
12
24
= _______
2.)
14
21
= _______
3.)
15
45
= _______
4.)
6
30
= _______
5.)
8
32
= _______ 0001020304050607080910
Teacher Tinay (Tacurong National High School)
Write the simplest form of each of the
following fractions.
1. )
12
24
=
2.)
14
21
=
3.)
15
45
=
4.)
6
30
=
5.)
8
32
=
1
2
2
3
1
3
1
5
1
4
Teacher Tinay (Tacurong National High School)
:Divide the following fractions by a
whole number. Write your answers in
the lowest term.
Review
1.
3
4
÷ 4 = _____
2.
1
5
÷ 6 = _____
3. 4 ÷
1
3
= _____
4. 2 ÷
2
5
= _____
5. 6 ÷
2
3
= _____ 0001020304050607080910
Teacher Tinay (Tacurong National High School)
:Divide the following fractions by a
whole number. Write your answers in
the lowest term.
Review
1.
3
4
÷ 4 =
2.
1
5
÷ 6 =
3. 4 ÷
1
3
= 12
4. 2 ÷
2
5
= 5
5. 6 ÷
2
3
= 9
3
16
1
30
Teacher Tinay (Tacurong National High School)
What are the steps in
problem solving?
0001020304050607080910
Lesson Proper
MARIA CRISTINA A. VILLARALVO
Teacher Tinay (Tacurong National High School)
What are the steps in problem solving?
1. Know what is ask.
2. Know what are the given facts.
Understand the problem.
Teacher Tinay (Tacurong National High School)
What are the steps in problem solving?
3. Determine the operation to be used.
4. Write the number sentence.
Plan.
Teacher Tinay (Tacurong National High School)
What are the steps in problem solving?
5. Show your Solution.
6. Check your answer.
Solve.
Check and look back.
7. Write the complete answer.
Teacher Tinay (Tacurong National High School)
There are 5 liters of
milkshakes. Each girl can
consume
1
5
liter of milkshakes
per serving. For how many
girls, Mariel is preparing
milkshakes?
Problem Solving
Teacher Tinay (Tacurong National High School)
There are 5 liters of
milkshakes. Each girl
can consume
1
5
liter of
milkshakes per
serving. For how many
girls, Mariel is
preparing milkshakes?
C. Solve
5. Show the solution
5 ÷
1
5
=N
5 ×
5
1
=N
5 × 5 =N
25 =N
Teacher Tinay (Tacurong National High School)
There are 5 liters of
milkshakes. Each girl
can consume
1
5
liter of
milkshakes per
serving. For how many
girls, Mariel is
preparing milkshakes?
D. Check and look back
5 ÷
1
5
=25
5 ×
5
1
=25
5 × 5 =25
25=25
6. Check your answers
Teacher Tinay (Tacurong National High School)
There are 5 liters of
milkshakes. Each girl
can consume
1
5
liter of
milkshakes per
serving. For how many
girls, Mariel is
preparing milkshakes?
D. Check and look back
7. State the complete answer.
Mariel is preparing
milkshakes for 25
girls.
0203040506070809
Teacher Tinay (Tacurong National High School)
Angel has 6 kilograms of boiled peanuts. She
wants to repack these into small plastic bag
which weigh
3
8
kilogram each. How many
small plastic bags does she need?
Problem Solving
0001020304050607080910
Teacher Tinay (Tacurong National High School)
Angel has 6 kilograms of
boiled peanuts. She
wants to repack these
into small plastic bag
which weigh
3
8
kilogram
each. How many small
plastic bags does she
need?
A.Understand
1. Know what is asked in the
problem
How many small plastic bags
does she needs?
2. Know what are the given facts
- 6 kilograms of peanuts.
-
3
8
kilograms per bag.
Teacher Tinay (Tacurong National High School)
Angel has 6 kilograms of
boiled peanuts. She
wants to repack these
into small plastic bag
which weigh
3
8
kilogram
each. How many small
plastic bags does she
need?
C. Solve
3. Determine the operation to be
used.
Division
4. Write the number sentence.
6 ÷
3
8
= N
Teacher Tinay (Tacurong National High School)
Angel has 6 kilograms of
boiled peanuts. She
wants to repack these
into small plastic bag
which weigh
3
8
kilogram
each. How many small
plastic bags does she
need?
C. Solve
5. Show your solution.
6 ÷
3
8
= N
6 ×
8
3
= N
6 ×
8
3
= N2
1
2 × 8 = N
16 = N
Teacher Tinay (Tacurong National High School)
Angel has 6 kilograms of
boiled peanuts. She
wants to repack these
into small plastic bag
which weigh
3
8
kilogram
each. How many small
plastic bags does she
need?
D. Check and look back
6. Check your answers.
6 ÷
3
8
= 16
6 ×
8
3
= 16
6 ×
8
3
= 162
1
2 × 8 = 16
16 = 16
Teacher Tinay (Tacurong National High School)
Angel has 6 kilograms of
boiled peanuts. She
wants to repack these
into small plastic bag
which weigh
3
8
kilogram
each. How many small
plastic bags does she
need?
D. Check and look back
7. State the complete answer.
She needs 16 small
plastic bags.
Teacher Tinay (Tacurong National High School)
Complete the steps in problem solving.
You Do It
operation to be used
the given facts
what is ask
State the complete answer
number sentence
A.Understand
1. Know __________ in the problem.
2. Know what are _______________.
B. Plan
3. Determine the _________________.
4. Write the ______________________.
C. Solve
5. Show your solution.
D. Check and look back.
6. Check your answers.
7. ______________________________.
0001020304050607080910
Teacher Tinay (Tacurong National High School)
Complete the steps in problem solving.
You Do It
operation to be used
the given facts
what is ask
State the complete answer
number sentence
A.Understand
1. Know __________ in the problem.
2. Know what are _______________.
B. Plan
3. Determine the _____________________.
4. Write the ______________________.
C. Solve
5. Show your solution.
D. Check and look back.
6. Check your answers.
7. ______________________________.
Teacher Tinay (Tacurong National High School)
Show your solutions to the following problems.
1. Four friends are running in a relay race. The race
is
1
3
kilometer long. How many kilometers will each
friend run?
2. Niko has
1
4
kilo of a grilled tuna. He wants to share
it equally between himself and his brother. How
much of a grilled tuna will each of them get?
0001020304050607080910
Teacher Tinay (Tacurong National High School)
1. Four friends are
running in a relay
race. The race is
1
3
kilometer long. How
many kilometers will
each friend run?
Solution:
1
3
÷ 4 = N
1
3
×
1
4
= N
1
12
= N
The reciprocal of
4 is
1
4
.
Check and look back.
1
3
÷ 4 =
1
12
1
3
×
1
4
=
1
12
1
12
=
1
12
Each friend will run
1
12
kilometer.
Teacher Tinay (Tacurong National High School)
2. Niko has
1
4
kilo of a
grilled tuna. He wants
to share it equally
between himself and
his brother. How much
of a grilled tuna will
each of them get?
Solution:
1
4
÷ 2 = N
1
4
×
1
2
= N
1
8
= N
The reciprocal of
2 is
1
2
.
Check and look back.
1
4
÷ 2 =
1
8
1
4
×
1
2
=
1
8
1
8
=
1
8
Each of them will get
1
8
kilo of the tuna.
Thank you and
goodbye class.
MARIA CRISTINA A. VILLARALVO
0001020304050607080910

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Math5 Solving Routine Problems Involving Division

  • 2. Teacher Tinay (Tacurong National High School) Objectives: 2. Solves routine problems involving division without any other operations of fractions and whole numbers. 1. Identifies the steps in problem solving. 3. Demonstrates the value of sharing.
  • 3. Teacher Tinay (Tacurong National High School) Write the simplest form of each of the following fractions. 1. ) 12 24 = _______ 2.) 14 21 = _______ 3.) 15 45 = _______ 4.) 6 30 = _______ 5.) 8 32 = _______ 0001020304050607080910
  • 4. Teacher Tinay (Tacurong National High School) Write the simplest form of each of the following fractions. 1. ) 12 24 = 2.) 14 21 = 3.) 15 45 = 4.) 6 30 = 5.) 8 32 = 1 2 2 3 1 3 1 5 1 4
  • 5. Teacher Tinay (Tacurong National High School) :Divide the following fractions by a whole number. Write your answers in the lowest term. Review 1. 3 4 ÷ 4 = _____ 2. 1 5 ÷ 6 = _____ 3. 4 ÷ 1 3 = _____ 4. 2 ÷ 2 5 = _____ 5. 6 ÷ 2 3 = _____ 0001020304050607080910
  • 6. Teacher Tinay (Tacurong National High School) :Divide the following fractions by a whole number. Write your answers in the lowest term. Review 1. 3 4 ÷ 4 = 2. 1 5 ÷ 6 = 3. 4 ÷ 1 3 = 12 4. 2 ÷ 2 5 = 5 5. 6 ÷ 2 3 = 9 3 16 1 30
  • 7. Teacher Tinay (Tacurong National High School) What are the steps in problem solving? 0001020304050607080910
  • 9. Teacher Tinay (Tacurong National High School) What are the steps in problem solving? 1. Know what is ask. 2. Know what are the given facts. Understand the problem.
  • 10. Teacher Tinay (Tacurong National High School) What are the steps in problem solving? 3. Determine the operation to be used. 4. Write the number sentence. Plan.
  • 11. Teacher Tinay (Tacurong National High School) What are the steps in problem solving? 5. Show your Solution. 6. Check your answer. Solve. Check and look back. 7. Write the complete answer.
  • 12. Teacher Tinay (Tacurong National High School) There are 5 liters of milkshakes. Each girl can consume 1 5 liter of milkshakes per serving. For how many girls, Mariel is preparing milkshakes? Problem Solving
  • 13. Teacher Tinay (Tacurong National High School) There are 5 liters of milkshakes. Each girl can consume 1 5 liter of milkshakes per serving. For how many girls, Mariel is preparing milkshakes? C. Solve 5. Show the solution 5 ÷ 1 5 =N 5 × 5 1 =N 5 × 5 =N 25 =N
  • 14. Teacher Tinay (Tacurong National High School) There are 5 liters of milkshakes. Each girl can consume 1 5 liter of milkshakes per serving. For how many girls, Mariel is preparing milkshakes? D. Check and look back 5 ÷ 1 5 =25 5 × 5 1 =25 5 × 5 =25 25=25 6. Check your answers
  • 15. Teacher Tinay (Tacurong National High School) There are 5 liters of milkshakes. Each girl can consume 1 5 liter of milkshakes per serving. For how many girls, Mariel is preparing milkshakes? D. Check and look back 7. State the complete answer. Mariel is preparing milkshakes for 25 girls.
  • 16. 0203040506070809 Teacher Tinay (Tacurong National High School) Angel has 6 kilograms of boiled peanuts. She wants to repack these into small plastic bag which weigh 3 8 kilogram each. How many small plastic bags does she need? Problem Solving 0001020304050607080910
  • 17. Teacher Tinay (Tacurong National High School) Angel has 6 kilograms of boiled peanuts. She wants to repack these into small plastic bag which weigh 3 8 kilogram each. How many small plastic bags does she need? A.Understand 1. Know what is asked in the problem How many small plastic bags does she needs? 2. Know what are the given facts - 6 kilograms of peanuts. - 3 8 kilograms per bag.
  • 18. Teacher Tinay (Tacurong National High School) Angel has 6 kilograms of boiled peanuts. She wants to repack these into small plastic bag which weigh 3 8 kilogram each. How many small plastic bags does she need? C. Solve 3. Determine the operation to be used. Division 4. Write the number sentence. 6 ÷ 3 8 = N
  • 19. Teacher Tinay (Tacurong National High School) Angel has 6 kilograms of boiled peanuts. She wants to repack these into small plastic bag which weigh 3 8 kilogram each. How many small plastic bags does she need? C. Solve 5. Show your solution. 6 ÷ 3 8 = N 6 × 8 3 = N 6 × 8 3 = N2 1 2 × 8 = N 16 = N
  • 20. Teacher Tinay (Tacurong National High School) Angel has 6 kilograms of boiled peanuts. She wants to repack these into small plastic bag which weigh 3 8 kilogram each. How many small plastic bags does she need? D. Check and look back 6. Check your answers. 6 ÷ 3 8 = 16 6 × 8 3 = 16 6 × 8 3 = 162 1 2 × 8 = 16 16 = 16
  • 21. Teacher Tinay (Tacurong National High School) Angel has 6 kilograms of boiled peanuts. She wants to repack these into small plastic bag which weigh 3 8 kilogram each. How many small plastic bags does she need? D. Check and look back 7. State the complete answer. She needs 16 small plastic bags.
  • 22. Teacher Tinay (Tacurong National High School) Complete the steps in problem solving. You Do It operation to be used the given facts what is ask State the complete answer number sentence A.Understand 1. Know __________ in the problem. 2. Know what are _______________. B. Plan 3. Determine the _________________. 4. Write the ______________________. C. Solve 5. Show your solution. D. Check and look back. 6. Check your answers. 7. ______________________________. 0001020304050607080910
  • 23. Teacher Tinay (Tacurong National High School) Complete the steps in problem solving. You Do It operation to be used the given facts what is ask State the complete answer number sentence A.Understand 1. Know __________ in the problem. 2. Know what are _______________. B. Plan 3. Determine the _____________________. 4. Write the ______________________. C. Solve 5. Show your solution. D. Check and look back. 6. Check your answers. 7. ______________________________.
  • 24. Teacher Tinay (Tacurong National High School) Show your solutions to the following problems. 1. Four friends are running in a relay race. The race is 1 3 kilometer long. How many kilometers will each friend run? 2. Niko has 1 4 kilo of a grilled tuna. He wants to share it equally between himself and his brother. How much of a grilled tuna will each of them get? 0001020304050607080910
  • 25. Teacher Tinay (Tacurong National High School) 1. Four friends are running in a relay race. The race is 1 3 kilometer long. How many kilometers will each friend run? Solution: 1 3 ÷ 4 = N 1 3 × 1 4 = N 1 12 = N The reciprocal of 4 is 1 4 . Check and look back. 1 3 ÷ 4 = 1 12 1 3 × 1 4 = 1 12 1 12 = 1 12 Each friend will run 1 12 kilometer.
  • 26. Teacher Tinay (Tacurong National High School) 2. Niko has 1 4 kilo of a grilled tuna. He wants to share it equally between himself and his brother. How much of a grilled tuna will each of them get? Solution: 1 4 ÷ 2 = N 1 4 × 1 2 = N 1 8 = N The reciprocal of 2 is 1 2 . Check and look back. 1 4 ÷ 2 = 1 8 1 4 × 1 2 = 1 8 1 8 = 1 8 Each of them will get 1 8 kilo of the tuna.
  • 27. Thank you and goodbye class. MARIA CRISTINA A. VILLARALVO