GRADES 1 to 12

        DAILY LESSON LOG

School:

Grade Level:

VI

Teacher:

Learning Area:

MATHEMATICS

Teaching Dates and Time:

WEEK 4

Quarter:

4TH QUARTER

MONDAY

TUESDAY

WEDNESDAY

THURSDAY

FRIDAY

I. OBJECTIVES

The learner………..

1. Content Standard

demonstrates understanding of volume of solid figures and meter reading.

2. Performance Standard

is able to apply knowledge of volume of solid figures and meter reading in mathematical problems and real-life situations.

3. Learning Competencies / Objectives

reads and interprets electric meter readings. M6ME-IVd-10

reads and interprets water meter readings. M6ME-IVd-10

solves routine and non-routine problems involving electric consumption.

M6ME-IVd-101

solves routine and non-routine problems involving water consumption.

M6ME-IVd-101

creates problems involving electric and water consumption, with reasonable answers.

M6ME-IVd-102

Measurement

Measurement

Measurement

Measurement

Measurement

Measurement

III. LEARNING RESOURCES

1. References

1. Teacher’s Guide pages

21ST Century Mathletes

21ST Century Mathletes

21ST Century Mathletes

21ST Century Mathletes,

21ST Century Mathletes,

2. Learner’s Materials pages

21st Century Mathletes 6

21st Century Mathletes 6,

21st Century Mathletes 6

21st Century Mathletes 6

21st Century Mathletes 6

3. Textbook pages

21st Century Mathletes 6

21st Century Mathletes 6

21st Century Mathletes 6

21st Century Mathletes 6

21st Century Mathletes 6

4. Additional Materials from Learning Resource (LR) Portal

Math 6 DLP Mod. 60

Math 6 DLP Mod. 60

Math 6 DLP Mod. 60

Math 6 DLP Mod. 61

Math 6 DLP Mod. 61

2. Other Learning Resources

Mathletes 6 textbook, power point presentation

Mathletes 6 textbook, power point presentation

Mathletes 6 textbook, power point presentation

Mathletes 6 textbook, power point presentation

Mathletes 6 textbook, power point presentation

IV. PROCEDURES

A.Reviewing previous lesson or presenting the new lesson

Drill

Mental Computation: Give me a number that is

a)        one more than 9

b)        one more than 99

c)        one more than 999

What happens to 9 when you add 1?

Review on place value and the relationship of each digit to another digit in a given number.

A.Drill

Mental Computation

Game:         “Name the Parents”

Mechanics:

1)Form 4 groups of equal number.

2)The teacher gives a number.

Ex.:        I am number 8.

        Name my parents by using any of the 4 processes.

3)The teacher gives the condition e.g. – I’ll count 1 to 10 when I reach 10 everybody stops.  Some pupils acts as observer – as to which group did it fast.

4)The game starts with pupil 1. He writes his answer on the board, gives the chalk to the next child, and goes at the back. This continues until everyone in the group has given his answer.

B.Use flash cards – Review on Subtraction

1.Mental Computation:

Name the Pair

a)Form 4 groups with equal number of members.

b)The teacher flashes a number. e.g., 16.  Give 2 numbers when subtracted gives you 16.  The teacher gives the signal and the time limit.  

c)Pupil 1 goes to the board, writes his subtraction sentence, then gives the chalk to the next pupil.  Pupil 1 goes at the back of pupil 10.  This procedure goes on until everybody has written a subtraction sentence.

d)Subtraction sentences are checked.

e)        Several numbers are given.  The group with the most number of correct answers wins.

1.Mental Computation:

Name the Pair

a)Form 4 groups with equal number of members.

b)The teacher flashes a number. e.g., 16.  Give 2 numbers when subtracted gives you 18.  The teacher gives the signal and the time limit.  

c)Pupil 1 goes to the board, writes his subtraction sentence, then gives the chalk to the next pupil.  Pupil 1 goes at the back of pupil 10.  This procedure goes on until everybody has written a subtraction sentence.

d)Subtraction sentences are checked.

e)        Several numbers are given.  The group with the most number of correct answers wins.

Review:

Drill: Find the difference of the ff.

1.5685 – 5359

2.7895 – 7648

3. 8217 – 7862

4.6382  - 6018

5. 5268 – 4986

Mental Computation  

a)From 300 subtract 152

b)Take 3 000 from 3 794

c)Subtract 500 from 1 582

d)What is left when you take 150 from 400?

e)How much bigger is 500 than 190?

Review: Read the dials below

Write the water meter readings in Liters and cubic meters (m³).

                                L    m³

1. 0 0 0 0 4 5 1     __ __

2. 0 0 0 0 1 6 0     __ __

3. 0 0 0 0 0 7 5     __ __

4. 0 0 0 5 4 0 3     __ __

5. 0 0 2 1 4 5 6     __ __

B.Establishing a purpose for the lesson

Ask the pupils the electrical appliances they have at home.  Elicit from them which of these consume the most electricity.

Ask the pupils how much they pay for their monthly electric bill.  Get some reactions.  How would you help lessen your electric consumption?  Why?  

Let pupils form a circle.

Let them move clockwise then counterclockwise.

Do the activity a few times.

1)        Ask how many of the pupils have faucets?

2)        Do you think water is important? Explain.

3)        Can you save water?  How?

        Why is it necessary for us to save water?  

How would you help lessen your electric consumption?  Why?  

Find out how many pupils brushed their teeth before coming to school. * Find out how many used a glass of water to gargle and the one who left the faucet open while brushing his teeth.  Draw pupil’s reactions. Who used more water?  Explain.  

In what month does your electric and water bill rise up?

How can you minimize the use of electric and water consumption?

Why do we need to conserve energy?

C.Presenting Examples/Instances of new lesson

Present the problem posted in Engage part and give enough time to the pupils to understand the problems.

Mr. Dela Cruz is computing his monthly electrical consumption. Based on his electric bill, last month he was able to consume 00125 kWh. When he checked his digital electric meter, the reading is 00199 kWh. How many kilowatt-hours did Mr. Dela Cruz consume this month?

Observe the meter readings below (TG p.302)

For us to get the amount of electricity that Mr. Dela Cruz consumed, subtract the previous electric meter reading from the present electric meter reading.

00199-00125=74 kWh

So, Mr. Dela Cruz consumed 74 kWh of electricity for this month.

Explain the steps in reading electric

meter. (Mathletes txbk p. 303)

The older style of water meters are those with small dials. It looks like a series of small clocks that turn clockwise (see picture below). The unit we use for his measurement is cubic meters (m3). The rules of reading a water meter with dials are similar to the way an electric meter is being read.

(Discuss how to read water meter on page 305)

Discuss Example #4: Read and interpret the dials on the meter below. The rightmost dial has the highest value.

To get the exact meter reading, start from right to left or the highest numbered dial (clockwise)

So, the water meter shows 3518

Today, most households use a water meter with odometer to measure the amount of water consumption.  (See picture below)

Present the problem below:

Let the pupils answer the problem below by group.

Menwer made a record of their 3-month electric consumption. The initial reading is 973 kWh.

January: 1120

February: 1353

March: 1512

Assume that the basic charge for the first 30 kWh is Php120.00 and he succeeding kilowatt-hour is charged Php6.00.

a.How much will Menwer pay for each month?

b. In what month did he pay the most? The least?

c. what is the average monthly consumption?

1.Understand.

1. What is asked?
2. What are the given facts?

2.Plan.

What operations shall we use to solve the problem?

3.Solve.

Show he computations.

4.Check:

Check your answer.

(Discuss the answer on page 306-308)

Original File Submitted and Formatted by DepEd Club Member - visit depedclub.com for more

Present this problem to the class.

Let the pupils answer the problem below by group.

Menwer’s record of their water consumption is as follows:

Initial reading: 0113

January: 0254

February: 0458

March: 0648

a.On what month did they use most water?

b. how many cubic meters of water did they use for 3 months?

c. Solve for the average monthly consumption in cubic meters.

1.Understand.

a.What is asked?

b.What are the given facts?

2.Plan.

What operations shall we use to solve the problem?

3.Solve.

Show he computations.

4.Check:

Check your answer.

(Discuss the answer on page 308-309)

 Present sample problems involving electric and water consumption:

Divide the class into four groups. Let each group create a problem based on the given situations.

Guide and assist the pupils when doing the activity. Ask each group to show its work and to explain its output.

Problem 1:

The electric meter reading last month was 7,621 kwh.  The present reading is 8,347 kwh.

Problem 2:

Mrs. Ramos water bill shows that the present reading is 0.749m³ and the previous reading was 0.694 m³.

Possible answer:

Problem 1:

The electric meter reading last month was 7,621 kwh.  The present reading is 8,347 kwh.  How much electricity was consumed in one month?

Problem 2:

Mrs. Ramos water bill shows that the present reading is 0.749m³ and the previous reading was 0.694 m³. How many cubic meters of water were used within the billing period?

D.Discussing new concepts and practicing new skills #1

Show the video of “How to Read Your Electric Meter”.

Present example no. 1: Group Activity

Read and interpret the dials on the electric meter below.

Like in the electricity, the water consumed is also measured by a meter and is expressed in cubic meters.

 The water meter is not the same as the electric meter.  It is a digital meter that shows 7 digits.  The last three digits at the right form the decimal or fractional part when measuring the amount of water consumed.

 To get the actual reading in cubic meters,  multiply the

numbers that appears by 1/1000  or 0.001.

1 m³ = 1000 L

 So the number of cubic meters consumed based on the given water meter above is 0.592 m³ or 592 L.

 Group Activity:

Give the readings on these water meters.

1. 0 0 0 0 0 7 9    ______________

2. 0 0 0 2 6 5 2    ______________

Answer:

1. 0 0 0 0 0 7 9    0.079 m³  or  79 Liters 

2. 0 0 0 2 6 5 2    2.652 m³  or  2 652 Liters  

 Present the problem below:

Read and analyze the problems.

1.The previous water reading at Dindo’s residence was 3475 m³,  the following month the reading was 4658 m³.  How much water was consumed in one month?

Group the pupils into 5 to answer the ff. questions. (Choose a leader to discuss the answer)

a.What is asked?

b.What are given?

c.What operation will be used? -

d.What is the mathematical sentence?        

e.What is the solution?                  

f. What is the complete answer? g. Is your answer correct?

Answer:            

a.What is asked?  How much water was consumed in one month?  

b.What are given?  3475 m³ previous reading; 4658 m³ present reading

c.What operation will be used? -Subtraction

d.What is the mathematical sentence?         4658 – 3475 = n e.What is the solution?                  4658  – 3475  =   1183  

f. What is the complete answer? Dindo’s residence consumed 1183 m³ of water in one month.        Is your answer correct? Yes.               Checking:    

1183                                           +3475                                            4658

Group Work

Materials:        worksheet

Mechanics:

1)        Ask pupils to join their learning team.

2)        Give them a worksheet.

Problem:

Last  month,  the  water  meter  reading  was 1 342 m3.  The following month, it was 1 395 m3.  If the basic charge of cubic metre is 2.62, how much will one pay?

Questions to answer:

a)        What are the given data?

b)         What are you going to solve for?

c)        Is there a hidden question?  State.

d)        How do you find the answer to the hidden question?

e)        What processes are needed to find the final answer?

f)        Write the number sentence.

g)        Solve.

h)        The answer is _____.

After the group activities are done, let each group post their created problems from the given situations and let them follow the task below.

Read the problem and ask the class to solve the problem.

Solve the problem with its solution.

Ask:  How did you create problems?

Expected answer:

We familiarized ourselves with the mathematical concepts and their application to real-life situations.

We thought of the type of problems we want to create.

We read and studied some problems that we have solved and their solutions.  

E.Discussing new concepts and practicing new skills #2

Present Example no. 2: Group Activity

1. Read and interpret the dials on the meter below. Start reading the dials from right to left.

Group Activity:  Read and interpret the dials on the electric meter below.

Answer:

To compute the water consumption for a particular period of time, simply subtract the previous reading from the present reading.

Example:

The Paz family consumed 0.972 m³ of water last month and 10.965 m³ this month.  How many cubic meters of water did they consume?

 Present Reading: 10.865 m³      

Previous Reading:  0.972 m³    

Water Consumed:  9.893 m³  

 The Paz family consumed 9.893 m³ of water this month

 Use of a Table/Group Work

Materials:        activity cards, drawing of the dial

Mechanics:

Distribute activity cards to each group.

Sample Activity Card:

Initial Reading is 001.347.

Discussion:

a)Complete the table.

b)Which household consumed the most?  the least?

c)What is the average monthly consumption of the 5 households?

Group Activity: Present this problem:

The Matipid family monitors closely their electric consumption.  This month, the reading on their dial is 5 634, last month it was 5 554.  How many Kwh was used?  (Note: You may give the same family but change the readings.)

Discussion:

What are given?

How do you find the answer?

What is the answer?  

(Publish the answers of each group.)  

Discuss.  

What value does the Matipid family show?

Draw the dials as given in the problem.

Last month the water reading was 1342 m³. The following month it was 1395 m³. If the basic charge of cubic meter is P2.62, how much will one pay?

Understand.

a. What is asked?

 How much will be paid for one month water consumption?  b.What are the given facts?

1342 m³ previous reading; 1395 m³ present reading  P2.62 basic change per cubic meter

c. What is the hidden question?  How much water was consumed in one month?

d. What is the number phrase for the hidden question? 1395 – 1342 = n

Plan.

e.What operations will be used? Subtraction, multiplication b. f.What is the mathematical sentence?(1395 – 1342)x P2.62=n

Solve.

     Step I                 Step II      

1395                 P2.62    

-1342                  x  53          

   53                       786

                           1310                                                                                            

                        P 138.86

g.What is the complete answer?  In one month, one will pay

P 138.86.

Check.

Is your answer correct?  Yes.  

Make problems involving electric and water consumption with the corresponding answer based on the given situation.

1.current water reading is 8416 cubic meters and the previous reading is 8349 cubic meters. Each cubic meter costs Php6.45.

Possible answer:

The current water reading is 8416 cubic meters and the previous water reading is 8349 cubic meters. If each cubic meter costs Php6.45, How much is the water bill?

2. previous electric reading is 3576 kWh. A family consumed 245 kWh.

Possible answer:

The previous electric reading is 3576 kWh. A family consumed 245 kWh. What is the current electric reading?

F.Developing mastery

(Leads to Formative Assessment)

Distribute an activity sheet to each group.

Draw a dial to show the readings.

1. 5 035     4. 6 614
2. 5 148     5. 7 035
3. 6 524

Give the difference of:

1. 1 & 2
2. 3 & 4
3. 4 & 5
4. 1 & 3

Which has the greatest difference?

Which pair will have the biggest bill?  Explain

Read the problem and complete each statement below.         Last month the electric meter reading was 6452 kwh. This month the reading was 8328 kwh. If electricity costs P3.40 per kwh, how much will one pay?

1. The problem asks ___

2. The given facts are ____

3. The hidden question is _____

4. The operations to be used are

5. The number sentence is ____

6. The solution is ______

7. The answer is _____

Answer:

1. The amount to pay for the electricity consumed.

2. 6452 kwh, 8328 kwh, P3.40 per kwh.

3. How much electricity consumed in a month?

4. Subtraction, Multiplication.

5. ( 8328 – 6452 ) x P3.40 = n

6.Step I                         Step II               8328                          1876              -6452                       xP3.40                1876 kwh          P6, 378.40

7. The answer is P6, 378.40.

Study the problem carefully and answer the questions that follow.

Margie’s record of their water consumption is as follows:

Initial Reading:        41 395

September:        53 621

October:        65 170

November:        79 896

December:        92 107

a)On what month did they use most water?

b)How many litres of water did they use for 4 months.  How many cubic metres is this equivalent to?

c)Solve for the average monthly consumption in cubic metres.

Make problems involving electric and water consumption with the corresponding answer based on the given data below.

G.Finding practical applications of concepts and skills in daily living

2.Study the table and compute the kwh used.

Discussion:

a)Which household consumed the most?  the least?  

b)Which two household consumed almost the same kwh?  What can you say about their bill?

c)As a member of the household, how can you lower your electric bill?

Why is it important to use electricity wisely?

 Read and solve.

1.Rona read 3 619 kwh on their electric meter.  If the previous reading was 3 146 kwh, how many kilowatt-hours they consume?

Answer: _______________

2. The Cruz family consumed 208 kwh this month.  The previous reading was 5172 kwh.  What is the present reading?

Answer: _______________

3.On august, the electric meter reading was 3411 kwh. The next month, the reading was 3619 kw.h. How much electricity was consumed?

1. What is asked?  ______

2. What are given? ________

3. What operation will be used? _

4. What is the number sentence?

5. What is the solution? ____

6. What is the answer? ______

Pair-share:

1.A rectangular swimming pool 8 m long, 7 m wide, and 2 m deep is filled with water.

a)How many cubic metre is needed to fill it?

b)The meter reading before the pool was filled was 3804.  What was the metre reading after?

c)Do you think it is a good practice to fill the pool to the brim?  Explain.  

2. Mrs. Quinay’s water bill shows that the present reading is 0.648m³ and the previous reading was 0.592 m³. How many cubic meters of water were used within the billing period?

Pair-share:

Make a three (3) problem involving electric and water consumption. Write the answer to each problem on your answer sheet

H.Making generalizations and abstractions about the lesson

How do the dials of the electric meter move?

How do you read the dials of a meter?

To read correctly:

Read the dials from left to right.

If the pointer is between the two numbers, always take the lower number.

If the pointer is directly over a number, write down that one.

If the pointer falls between 9 and 0, write down 9 and reduce the reading you've already taken for the dial on it's left by one.

How do you read a water meter?

To read a water meter:

a. Express the reading in cubic meters (m³)

b. The last three digits at the right show the fractions of cubic meters of water consumed.

c. To find the water consumption, subtract the previous reading from the present reading.

To find the electric consumption, subtract the past reading from the present reading.

 There are basic steps in solving problem. 1. Understand and analyze the problem.

- Know what is asked.

- Know what are the important facts.

 2. Divide or plan for the solution.

- First know the hidden question/questions.

- Know the operation to be used.

- Write the mathematical sentence.

3. Carry out the plan and check.

- Find out if you answered the problem correctly.

To find the water consumption, subtract the past reading from the present reading.

There are basic steps in solving problem.

1. Understand and analyze the problem.

- Know what is asked.

- Know what are the important facts. 2. Divide or plan for the solution.

- First know the hidden question/questions.

- Know the operation to be used.

- Write the mathematical sentence. 3. Carry out the plan and check.

- Find out if you answered the problem correctly.

Ask the following questions:

What did you do to be able to create problems involving electric and water consumption?

What are the steps in creating problems?

Steps in creating problems.

Familiarize yourself in the concepts. Think of an explanation to everyday life real situations.

Think of the type of problem you want to create and the formula to be used. Relate the problem to real life situations.

Study the solution in solving the problems.

Make your own styles/strategies to justify the solutions.

I.Evaluating Learning

2.What is the electric consumption?

3.        Draw the dials to show:

Use the 4-step plan to solve the ff. 1.The previous reading of the electric meter was  2895 and the present reading is 3025. How many kilowatts of electricity was consumed?

2.Last month, my electric meter reading was 3619 kwh. The next month, the reading was 3811. How many kwh did I consume? How much will I pay if the charge per kwh is P 0.5?
3.Last month, an electric meter read 7835 kwh. This month, the reading is 8328 kwh. If the basic cost of electricity is P3.40 per kwh, how much is the basic bill?

4.. Jude recorded his family's electric consumption for 2 months. The initial reading is 27193 kwh and the next reading is 27310. How many kwh is used in a month?

Use the 4-step plan to solve the ff.

1.The Dela Cruz family’s water consumption for the month of June is 0000245 m3 and for the month of July, the reading is 0000280 m3. How much was their water consumption for the month of July?

2. At Php8.00 per cubic meter of water, how much was the basic bill for the period of August 2014 to September 2014 if the meter reading on September was 00001450 while the reading on August 2014 was 00001480?

3.The previous reading of the water meter was 0000345 m3. The present reading is 0000395. How many cubic meters of water was consumed?

Make 1 problem involving electric consumption and  1 problem involving water consumption. Write the answer to each problem on your answer sheet.

J.Additional activities for application and remediation

1.        Read your electric meter.

2.        Bring an old electric bill.

Make a commitment on how you can help save water at home and in school.

Answer the problem below:

On January 5, the water meter of a factory read 0801327. On February 5, the meter registered 0803098.  How many cubic meters of water did the factory consume?  About how many liters of water was used each day?

Answer the problem below:

A swimming pool is 18 m long, 10 m wide, and 1.75 m deep.  How much will it cost to fill the pool with water, if a cubic metre costs 2.75. Eric kept a record of his family’s water consumption for four months.  His records is as follows:

Initial Reading:        86 912

1st month:        102 528

2nd month:        119 687

3rd month:        132 049

4th month:        149 160

a)How many cubic metres of water did they use for 4 months?

b)What was their average daily consumption? monthly consumption?  

Answer Math Challenge on page 311.

V. Remarks

VI. REFLECTIONS

1. No. of learners who earned 80% on the formative assessment

2. No. of learners who require additional activities for remediation who scored below 80%

3. Did the remedial lessons work? No. of learners who have caught up with the lesson

4. No. of learners who continue to require remediation

5. Which of my teaching strategies worked well? Why did this work?

6. What difficulties did I encountered which my principal or supervisor can help me solve?

7. What innovation or localized materials did I use/discover which I wish to share with other teachers?