Download MATHEMATICS VI d

MATHEMATICS VI
Date: ___________
I. LEARNING OBJECTIVES
Divide decimals by 10, 100, 1000 mentally
Value:
Alertness
II. LEARNING CONTENT
Skill:
Dividing decimals by 10, 100, 1000 mentally
Reference:
BEC-PELC II E.3
Enfolding Mathematics VI
Materials:
flashcard, manila paper, piece of paper, ballpen
III. LEARNING EXPERIENCE
A. Preparatory Activities
1. Drill - Mental Computation
Multiplying decimals by 10, 100, 1000 using flashcards
0.3 x 10 =
0.63 x 100 =
0.383 x 1000 =
1.5 x 10 =
3.25 x 100 =
24.58 x 1000 =
2. Review
When multiplying decimals by 10, 100, 1000 what do we do with the decimal point?
To what direction do we move the decimal point?
B. Developmental Activities
1. Presentation
Activity:
a. Study the following sets of equations:
SET A
SET B
450 ÷ 10 = 45
2.8 ÷ 10 =0.28
450 ÷ 100 = 4.5
2.8 ÷ 100 = 0.028
450 ÷ 1000 = 0.45
2.8 ÷ 1000 = 0.0028
b. What do we notice in each set? Is there a patter?
c. Elicit the pattern from the students.
d. Discuss the rule/steps in dividing whole numbers or decimals by 10, 100, 1000.
e. Give more examples
2. Fixing Skills: Divide mentally
1) 34.5 ÷ 10 = N
2) 28.6 ÷ 100 = N
3) 58.33 ÷ 1000 = N
3. Generalization
How do we divide decimals by 10, 100, 1000?
 To divide decimals by 10, 100, 1000
a. Move the decimal point to the left as many zeros are there in the divisor.
b. Prefix zero/zeroes before the decimal point if needed.
IV. EVALUATION
Give the answers mentally as fast as you can.
1) 63.8 ÷ 10
2) 56.61 ÷ 100
3) 635.2 ÷ 1000
4) 242.6 ÷ 10
5) 2473 ÷ 1000
V. ASSIGNMENT
1.
2.
3.
4.
5.
Decimal
14.8
27.632
129.74
176.24
88.29
Complete the table bellow.
10
100
1000
MATHEMATICS VI
Date: ___________
I. LEARNING OBJECTIVES
Divides decimal mentally by 0.1, 0.01, 0.001
Value:
Cleanliness
II. LEARNING CONTENT
Skill:
Dividing decimals by 0.1, 0.01, 0.001
Reference:
BEC-PELC II E.4
Enfolding Mathematics VI
Materials:
flashcard
III. LEARNING EXPERIENCE
A. Preparatory Activities
1. Drill - Mental Computation
Multiplying Numbers by Power of Ten
5 x 10 =
5 x 1000 =
5 x 40 =
2. Review
Multiplying numbers mentally
a. 34.83 ÷ 10 =
b. 168.37 ÷ 100 =
5 x 100 =
5 x 400 =
c. 149.2 ÷ 1000
3. Motivation:
Have you divided decimals by 0.1, 0.01, 0.001? how did you do it? Have you find some
easyways to do it?
B. Developmental Activities
1. Presentation
Activity: Role Playing
a. Have a group act out the situation.
b. Have them compute the problem mentally.
c. Ask: What is the answer in situation a? and b?
What is the pattern in dividing decimals by 0.1, 0.01, 0.001? Explain.
2. Fixing Skills:
1) 651÷ 0.1
Perform mentally
2) 6.298 ÷ 0.01
3) 85.72 ÷ 0.001
3. Generalization
How do you divide decimals by 0.1, 0.01. 0.001. What is the pattern in dividing decimals
by 0.1, 0.01, 0.001?
IV. EVALUATION
Give the quotient orally.
1) 8.39 ÷ 0.01
2) 125.85 ÷ 0.001
V. ASSIGNMENT
Divide Mentally
1) 6.873 ÷ 0.01
2) 1.62 ÷ 0.1
3) 6.95 ÷ 0.01
3) 49.67 ÷ 0.001
4) 85.32 ÷ 0.1
4) 4.32 ÷ 0.01
5) 6.45 ÷ 0.001
5) 32.8 ÷ 0.01
MATHEMATICS VI
Date: ___________
I. LEARNING OBJECTIVES
Solve word problems involving division of decimals including money
Value:
Decisiveness
II. LEARNING CONTENT
Skill:
Solving word problems involving division of decimals including money
Reference:
BEC-PELC II E.5.2
Enfolding Mathematics VI
Materials:
activity cards, manila paper
III. LEARNING EXPERIENCE
A. Preparatory Activities
1. Opening Song: Mathematics ( To the tune of “Are You Sleeping”)
2. Review
Divide numbers mentally
a. 56 ÷ 0.1
b. 56 ÷ 0.01
c. 56 ÷ 0.001
3. Motivation: Role playing
a. Who went to the mall? Why?
b. How much money do they have?
c. Do you think the girls made a wise decision? Why?
B. Developmental Activities
1. Presentation
Strategy:
a. Group the class into “pairs”
b. Task for each pair
1. Is there a problem in the situation presented? What’s the problem all about?
2. What are the given facts?
3. Is it possible that they can buy plates worth P 273.50? How?
4. What is the number sentence?
5. About how much is the cost of each plate? Why?
c. Have each group presented their work to the class.
2. Exercises: Read Analyze then solve:
Cris is planning to buy a new CD player worth P4 595.25. He tries to save P306.35 a
week from his allowance. How many weeks will it take him to save the amount enough to
buy the CD player?
3. Generalization
What are the steps in solving word problems?
How do you analyze and solve word problems involving decimals?
IV. EVALUATION
Read the word problems. Analyze then solve.
1. Jon saves P105.35 a week. How long will it take him to save P 1 264.20?
2. Robert plans to go to the province for a vacation. He wanted to by presents for his nephews worth
P289.45 each. He allotted P1 157.80. how many nephews does he have in the province?
3. Christian is a businessman. Every first week of December, he deposits P51 025.00 for the
Christmas bonus of his employees. Each employee receives P6 378.50. How many employee are
there?
V. ASSIGNMENT
Make word problems involving division including money.
MATHEMATICS VI
Date: ___________
I. LEARNING OBJECTIVES
Solve 2- to 3- step word problems involving decimals including money
Value:
Industry
II. LEARNING CONTENT
Skill:
Solving 2- to 3- step word problems involving decimals including money
Reference:
BEC-PELC II E.5.3 – 5.3.2
Enfolding Mathematics VI
Materials:
pictures, charts, number wheel
III. LEARNING EXPERIENCE
A. Preparatory Activities
1. Mental Computation:
Solve the problem mentally:
a. After buying some books and school supplies worth P45.75, how much change will you
receive from a P50-bill?
b. Aling Josie bought 1.5 kg. of pork, 1.75 kg. of chicken and 1.25 kg. of beef. How many
kilograms of meat did she buy?
2. Review: Game using Spin-a-Wheel
a. 9 ÷ 1.5 = N
b. 0.8 ÷ 3 = N
c. 160 ÷ 0.32 =
3. Motivation
Do you want to get high grades? What will you do?
B. Developmental Activities
1. Presentation
Activity:
1. Present this problem
Mang Tisoy brought 2 bags of onions to market. One bag weighs 8 kilograms and the
other bag weighs 6.5 kilograms. He repacked the onions in plastic bags of 0.25 kilograms
per pack and sold each pack for P12.50. How much will he get if all the packs were sold?
2. Analyze and solve the problem:
a. What is asked?
b. What are given?
c. What are the hidden question?
d. What operation will you use?
e. What is the equation for the problem?
3. Discussion
a. In solving 2-3 step
problems,
what do you solve
first?
b. How do you express your answer to the problem?
2. Fixing Skills: Read Analyze then solve:
There are 18 girls and 17 boys who will equally share the expenses for a bus trip
amounting to P4 042.50. How much will each pay?
3. Generalization
How do you sold 2-3 step word problems involving decimals?
IV. EVALUATION
Solve the problem bellow and label your answer.
1. Lerna and her classmate went swimming. They spent P1 206.25 for food and P1 172.50 for
transformation and entrance fees. They got P1 196.75 from the club funds and each one shared
P98.50 to pay for the remaining expenses. How many shared in the amount?
2. Grace receives P220.50 as school allowance from her mother. Her aunt gave her an additional
P183.73. If her daily expenses is P36.75, for how many days will her allowance last?
V. ASSIGNMENT
Solve the following problems. Label your answers.
1. Jun and Richard repaired a broken rattan bed and were paid P 1 128.00. If Jun worked for 8.5
hours and Richard for 7.5 hours, how much were they paid per hour?
2. The barangay officials of Barangay Masaya received 150 sacks of rice weighing 50 kilograms
each. 350 kilograms were distributed to the flood victims for the barangay. The rest were
repacked in plastic bags of 2.5 kilogram each to the street children. How many street children
received the rice?
MATHEMATICS VI
Date: ___________
I. LEARNING OBJECTIVES
Generalize when a number is divisible by another number
Value:
Sportmanship
II. LEARNING CONTENT
Skill:
Determine when a number is divisible by another number.
Reference:
BEC-PELC II. F.1.1
Enfolding Mathematics VI
Materials:
Activity cards
III. LEARNING EXPERIENCE
A. Preparatory Activities
1. Drill: Skip counting by 2, 3, 4, 5 & 6
2. Review
Group activity using activity cards
a.
Divide the class into 4 groups
b. Each group will be given a window card to be answered in turn by the members.
c. The first group to finish with all correct answers wins.
3. Motivation
Ask pupils if they want to learn some ways of getting quotients more easily.
B. Developmental Activities
1. Presentation
Activity: “Lets Explore”
1. Study the following equations. 2 x 8 = 16
16 ÷ 2 = 8
16 ÷ 8 = 2
2. Ask: a. What are the factor of 16?
b. Can 16 be divided exactly by 2? By 8?
3. Ask: What can you say about 16?
 A number is divisible by another number if it can be divided exactly by the
second number.
2. Fixing Skills: Relay
Test for the divisibility of the following numbers. Put a check on the proper column.
2
1
2
3
4
5
3
4
5
6
7
8
9
10
840
144
184
4828
400
3. Generalization
How would you determine that a number is divisible by a certain number? Are the rules
formulated true all numbers?
IV. EVALUATION
Formative Test: List the numbers that divide the following.
1. 36
2. 150
3. 187
4. 225
5. 1260
V. ASSIGNMENT
Determine the divisibility of the following numbers by 2, 3, 4, 5, 9, 10.
MATHEMATICS VI
Date: ___________
I. LEARNING OBJECTIVES
Identify prime and composite numbers
Value:
Kindness to animals
II. LEARNING CONTENT
Skill:
Identifying prime and composite numbers
Reference:
BEC-PELC II F.1.2
Enfolding Mathematics VI
Materials:
chart, flashcards, number cards 1-100 small squares, hundred chart, crayon
III. LEARNING EXPERIENCE
A. Preparatory Activities
1. Drill - Mental Computation
Drill on giving all the possible factors of a number
Strategy: Name the baby
Materials: flashcards with 2 digit numbers
Mechanics:
1. Form 4 groups
2. The teacher flashes a card.
3. The groups of pupils are given 1 minute to divide what their answers be.
4. Each member of the group goes to the board simultaneously and writes the answers.
5. The teacher checks the answers.
6. The group having the most number of correct answers wins.
2. Review
Let’s Pick Flower
1. Pick a flower from the garden.
2. Read the number aloud and tell if it is even or odd.
3. Place the number in the basket provided for.
3. Motivation
Ask pupils if they have been to the zoo. Let them tell their experience of going to the zoo.
Let them also tell what they commonly see at the zoo. Illicit from the pupils what should be
done to preserve the animals at the zoo.
B. Developmental Activities
1. Presentation
Activity:
1. Divide the group into 2
2. Use the basket of even and odd numbers.
3. List down the factors of the number in each basket.
4. Report to the class the factors of each number and tell how many composite/prime
number their group has.
5. Report to the class the factors of each number and tell how m any composite/prime
number their group has.
2. Fixing Skills:
Give the factors of the number. Then write prime if the number is prime number and
write composite if it is a composite number.
factors
________ 1.
27
________ 2.
37
________ 3.
49
________ 4.
53
________ 5.
60
3. Generalization
What are prime numbers? Composite numbers?
IV. EVALUATION
Write P if the number is prime and C if it is a composite number.
________ 1.
72
________ 2.
14
________ 3.
27
________ 4.
18
________ 5.
68
V. ASSIGNMENT
Find the prime number and composite number in:
Number
Least
a. 1-digit
b. 2-digit
c. 3-digit
d. 4-digit
Greatest
MATHEMATICS VI
Date: ___________
I. LEARNING OBJECTIVES
Write the prime factorization of a given number
Value:
Helpulness
II. LEARNING CONTENT
Skill:
Prime factorization of a given number
Reference:
BEC-PELC II F.1.5
Enfolding Mathematics VI
Materials:
chart, card
III. LEARNING EXPERIENCE
A. Preparatory Activities
1. Mental Computation
“Guessing Game” – Play guessing game by guessing the answer to the following:
a. I am more than 10 but less than 15, of my factors is 7. Who am I?
b. I am 25, what are my prime factors?
c. The largest composite number between 10 and 20 is my sister’s age. How old is she?
2. Review
Check up of assignment
3. Motivation
Ask pupils if they have heard the term “prime factorization” of numbers. Let them make
inferences as to what I means.
B. Developmental Activities
1. Presentation
a. Problem Opener
b. Let them answer the following:
1. What does Mary Jane have?
2. What does she want to do with the fruits?
3. How many guavas does he have? How many mangoes does she have?
c. Ask the pupils to find the factors of 36 and 24
d. Show the class a factor tree.
e. Lead the class to discover the 2 x 3 x 2 x 3 are the prime factorization of 36 and 3 x 2 x 2
x 2 are the prime factorization of 24.
2. Practice Exercises:
Write TRUE if the prime factorization of the give number is correct and FALSE if it is wrong
a. 24 = 2 x 2 x 2 x 3
c. 81 = 3 x 3 x 3 x 3
b. 18 = 2 x 3 x 2
d. 76 = 2 x 2 x 19
3. Generalization
A number be it a prime or composite number will have prime factors. The process to get
the prime factors of a certain number is called prime factorization.
IV. EVALUATION
Give the prime factorization of:
1. 16 =
2. 27 =
3. 48 =
4. 56 =
5. 64 =
V. ASSIGNMENT
Give the prime factorization of:
1. 30 =
2. 56 =
3. 43 =
4. 72 =
5. 54 =