Lesson Plan Math 5

Lesson Plan in Mathematics V

Date: ___________________

I. Cognitive: Give the place value of each digit in a 6 or more digit number.Read and write numbers through billions in figures and in words correctly.

Psychomotor: Write numbers through billions in figures and in words.Affective: Observe accuracy in reading and writing numbers through billions

in figures and in words.

II. Reading and writing numbers through billions in figures and in wordsRef: BEC-PELC 1.A.1Mat: Place value Chart, number cardsValue: Alertness, accuracy

III. A. Preparatory Activities1. Drill

Writing numbers in expanded form.2. Review

Reading smaller group of numbers written on reusable materials

B. Developmental Activities1. Presentation

Strategy 3 (See Lesson Guide, p. 2)2. Generalization

How many periods are there in a billion?What are the periods in a billion?

C. Application1. Write the following numbers in words?

a) 2 750 000b) 3 726 513c) 43 000 210

IV. Write the value of the underlined digit in each number1. 2 750 423 0002. 9 287 6003. 412 876 010 0514. 17 386 001 0005. 234 126 143

V. In the numeral 927 814 760, write each digit in the proper place according to value

_________ Thousands_________ hundred millions_________ Billions

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Date: ___________________

I. Cognitive: Identify the properties of addition used in an equation. Add numbers using the properties.

Psychomotor: Write the sum of a given set of numbers.Affective: Appreciation for the use of the properties of addition.

II. Using the properties of Addition to help find the Sum

Ref: BEC-PELC I.A.2.a.Mat: FlashcardsValue: Appreciation for beauty/ Be clean and orderly


Writing numbers in expanded form.2. Review

Reading smaller group of numbers written on reusable materials


(See Lesson Guide, p. 4-5)2. Generalization

What are the properties of addition?What is the commutative property of addition? Associative property?

Identity property?

C. ApplicationName the properties used.

1. (7 + 8) + 2 = 7 + (8 + 2) ____________________2. 3 + 9 = 9 + 3 ____________________3. 4 + (7 + 6) = (4 + 6) + 7 ____________________

IV. Find each missing addend. Name the properties you used.1. (12 + 3) + 5 = ____ + (3 + 5) ______________2. 35 + 0 + ____ = 35 + 9 + 0 ______________3. 27 + _____ = 27 ______________

V. Use the properties to complete each sentence.1. 24 + 12 + 6 = _____2. 33 + 10 + 7 = _____3. 65 + 20 + 115 = _____

2


Date: ___________________

I. Cognitive: Identify the properties of multiplication.Find the product using the properties of multiplication.

Psychomotor: Write the equation and the answer illustrating the properties of multiplication.

Affective: Be alert in every activity

II. Identifying and showing the Properties of Multiplication.Reference : BEC-PELC I.A.2.bMat: countersValues. Cooperation, active participation


Name the properties used.a. (5 + 7) + 4 = 5 + (7 + 4)b. 6 + 3 = 3 + 6

2. Checking of assignment


Strategy 1(See Lesson Guide, p. 6-7)2. Generalization

What are the properties of multiplication?

IV. Identify the property of multiplication illustrated.1. 4 761 x 0 = 02. 8 x 27 = 27 x 83. 8 x (4 x 9) = (8 x 4) x 9

V. Write true or false. If true , identify the property of multiplication illustrated.1. 8 x 4 = 4 x 82. 5 x (2 x 6) = (5 x 2) x (6 x 5)3. (3 x 4)+ (4 x 5) = (3 x 4) x 5

3


Date: ___________________

I. Cognitive: Round off numbers to the nearest indicated place value.Psychomotor: Write numbers rounded to the indicated place value.Affective: Demonstrate consciousness too much food wastage

II. Rounding numbers to the nearest tens, hundreds, thousands, ten thousands, etc.Reference: Math textbook,

BEC-PELC I.A.3Materials: flashcards, place value chartsValue: Consciousness of too much food wastage


Drill on reading Numbers through Billions2. Review

Strategy 1: Show me card


Strategy 1(See Lesson Guide, p. 10)2. Generalization

How do we round off numbers?

C. ApplicationName the place value where the numbers are rounded.1. 8902. 700 000 0003. 456 000

IV. Round the numbers to the nearest

Tens Hundreds Thousands1. 4 315 6522. 7 354 7543. 6 812 563

V. List down at least 2 numbers that can rounded off to the nearest:1. hundreds2. thousands3. hundred millions4. millions5. billions

4


Date: ___________________

I. Cognitive: Review the process of adding and solving large numbers with and without regrouping.

Solve word problems involving addition and subtraction of whole numbers.

Psychomotor: Write numbers in column properly.Affective: Persevere in working with large numbers.

II. Reviewing the process of adding and solving large numbers with and without regroupingAddition and subtraction of large number with and without regrouping.

Reference: Math textbook, BEC-PELC I.A.4.a

Materials: flashcards, countersValue: Perseverance, cooperation


Basic addition and subtraction facts.2. Review

Review on identity property of addition.



How do we add/subtract large numbers with regrouping? Without regrouping?

C. ApplicationDo the indicated operation.1. 638 431 + 972 302 + 439 166 =2. 906 382 – 529 495 =

IV. Solve the following correctly.1. From 189 860 take away 56 780.2. What is the total of 143 321 478 939 and 113 026 788 519?3. What is 299 749 123 increased by 187 894 091?

V. Complete the chart. Write the sum and difference of the numbers indicated?

Numbers Sum Difference1. 984 207 542

263 481 5632. 725 983 654

336 343 459

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Date: ___________________

I. Cognitive: Review the process of multiplying whole numbers.Psychomotor: Write the correct solution in multiplying whole numbers.Affective: Persevere in one’s work.

II. Reviewing the process of multiplying whole numbersReference: Math textbook,

BEC-PELC I.A.4.bMaterials: flashcards, countersValue : Patience


Basic facts in multiplication through flash cards.2. Mental Computation.



How do we multiply whole numbers?

C. ApplicationMultiply.

1. 5 629 x 47 =2. 31 695 x 43 =

IV. Find the product of the following.1. 40 306 2. 37 715 3. 45 681

x 27 x 53 x 13V. Read each problem. Write the mathematical sentence then solve.

1. Mr. Rico sold 2 321 copies of mathematics books.Mr. Pazsold 12 times as many. How many mathematics books did Mr.

Paz sold?


6

Date: ___________________

I. Cognitive: Review the process of dividing whole numbers.Psychomotor: Find the quotient of given numbers.Affective: Perform the operation with speed and accuracy.

II. Dividing whole numbers Reference: Math textbook,

BEC-PELC I.A.4.cMaterials: flashcards, countersValue : Speed and accuracy


Basic facts on division through flash cards.2. Mental Computation.


Strategy 1(See Lesson Guide, p. 18-19)2. Generalization

How will you divide whole numbers?

C. ApplicationDivide.

1. 1359 ÷ 23 =2. 7332 ÷ 52 =

IV. Find the quotient of the following.1. 13248 ÷ 24 = _____2. 15184 ÷ 24 = _____3. 239708 ÷ 48 = _____

V. Read each problem and solve.1. Mang Berto gathered 1 350 mangoes from his orchard. Before

selling the mangoes, he placed them equally in 6 kaings. How many mangoes were placed in each kaing?


7

Date: ___________________

I. Cognitive: Solve 1-step word problem using any of the four fundamental operations.

Psychomotor: Solve accurately and correctly 1-step word problems.Affective: Develop critical thinking in analyzing and solving word problems.

II. Solving one – step word problems using any of the four fundamental operationsReference: BEC-PELC I.A.5.aMaterials: Charts, flashcardsValue: Thoughtfulness, critical thinking


Drill on the basic addition, subtraction, multiplication and division.2. Review

Review the steps in problem solving.



What are the steps in solving word problems?

C. ApplicationSolve the following problems.

1. Mr. Sison sold 41 000 kilograms of copra in January and another 29 368 kilograms in June. How many more kilograms of

copra did he sell in January than in June?

IV. Solve for the following problems.1. Omar collected 31 242 eggs. He sold 19 568 eggs to store

owners. How many eggs were left unsold?2. There were 4 grade levels which joined the parade at Luneta.

Each grade level had 42 pupils. How many pupils in all joined the parade?

V. Solve the following problem.Miss Lorenzo distributed 3 264 squares of cloth equally among her 16

girls to make a table cover. How many squares of cloth did each girl receive?


8

Date: ___________________

I. Cognitive: Solve 2-3-step word problem using any of the four fundamental operations.

Psychomotor: Solve 2- to 3- word problems correctly.Affective: Solve 2-3-step word problem using any of the four fundamental

operations with accuracy.

II. Solving 2-3 – step word problems using any of the four fundamental operationsReference: BEC-PELC I.A.5.bMaterials: Charts, flashcardsValues: Accuracy , alertness, cooperation


Drill on the basic addition facts, subtraction facts, multiplication facts and division facts through the use of flash cards.

2. Checking of assignments.


(See Lesson Guide, p. 23 - 24)2. Generalization

What are the steps you should follow in solving word problems?What is the most important thing to consider in problem solving?

C. ApplicationSolve the following problems.

Each of the 4 officials of the Sports Club contributed P 1 032.00 for the basketball uniforms. How much was raised for the basketball

uniforms?

IV. Read and solve.1. An airplane covered the following distances in 3 trips: 1 300 miles, 972

miles and 1 580 miles. The average speed of the plane was 550 miles per hour. What was the average distance covered in the three trips?

2. An egg vendor bought 600 eggs from the Solder Farm. She paid Php. 28 per dozen. How much did she pay in all?

V. Solve the following problem.The PTA donated P 39 510 to the school to buy 15 typewriters. If each

typewriter costs P 3000, how much was the school’s s

9


Date: ___________________

I. Cognitive: Differentiate odd from even numbersIdentify odd and even numbers.

Psychomotor: Play actively in group games.Affective: Show alertness in playing group games.

II. Differentiate Odd and Even NumbersReference: BEC PELC I.A 5.1.1 Materials : Concrete objects, number cardsValue: Alertness


Write the missing numbers.a. 20, 22, 26, 32, ____, ____, ____, 76b. 4321, 4311, 4301, ____

2. ReviewSkip Counting.



How do you differentiate odd numbers from even numbers?

C. ApplicationWrite odd or even on the blank before each number.____ 1. 3104____ 2. 263____ 3. 5778

IV. Ring all even numbers and box all the odd numbers1. 4762. 12633. 7000

V. Answer each question1. If n is an odd number and p is an even number, then p + p + n = ____

10


Date: ___________________

I. Cognitive: Give the common factor of a given number.Find the greatest common factors of given numbers.

Psychomotor: Compute the GCF of given numbers using any method.Affective: Show cooperation with the group in finding factors.

II. Finding the greatest common factor of given numbers.Reference: BEC PELC I.A 5.1.2Materials : Concrete objects, number cardsValue: Cooperation


Mental drill on Odd and Even numbers2. Review

Factorization


Strategy 3 (See Lesson Guide, p. 28-29)2. Generalization

What are the methods of finding GCF of numbers?

C. ApplicationGive all the factors of each number. Then box the GCF.

1. 4 = ? 2. 12 = ?8 = ? 30 = ?20 = ?

IV. Express each number as a product of its prime factors. Find the GCF.1. 18 = ? 2. 12 = ?

27 = ? 18 = ?GCF = ? 24 = ?

GCF =3. 24 = ?

30 = ?36 = ?GCF = ?

V. Answer each question1. If the GCF of two numbers is 36, what are some of the prime factors of

each number?

11


Date: ___________________

I. Cognitive: Identify prime and composite numbers.Psychomotor: Manipulate the given objects as directed.Affective: Appreciate the importance of little things/objects around us.

II. Identifying Prime and Composite NumbersReference: BEC PELC I.A 5.1.3 Materials: pocket chart, models, cut outs

Value: Cooperation


Game2. Review

Factors of a Number3. Motivation

(See Lesson Guide, p. 32)



What are prime numbers? Composite numbers?

C. ApplicationList all the factors of each number. Then encircle the number if it is prime.

1. 482. 363. 53

IV. Write P if the number is prime and C if composite._____ 1. 28_____ 2. 36_____ 3. 21

V. Answer the questions.1. Name the prime numbers between 1 and 50.2. Name the composite numbers between 50 and 100.

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Date: ___________________

I. Cognitive: Find the prime factors of a number.Psychomotor: Write the prime factors of a given number correctly.Affective: participate actively in the discussion.

II. Finding the prime factors of a numberReference: BEC PELC I.A 5.1.4 Materials : Chart, flashcardsValue: Alertness


a. What is twice the product of 4 and 5?2. Review

Tell whether the following numerals are prime or composite.a. 17b. 3c. 5

3. Motivation(See Lesson Guide, p. 35)



How do you find the prime factors of a number?

C. ApplicationFind the prime factors of these numbers using any method

1. 302. 283. 24

IV. Give the prime factors of the following number using any method.1. 782. 803. 48

V. Write the prime factors of the following.1. 842. 603. 90

13


Date: ___________________

I. Cognitive: Identify multiples of a given numbers.Psychomotor: Write numbers legiblyAffective: Demonstrate willingness in doing group activities.

II. Identifying multiples of given numbers.Reference: BEC PELC I.A 5.1.5Materials: Chart, flashcardsValue: Willingness to join in group activities.


Game: Treasure Hunting2. Review

Find the prime numbers of these numbers.a. 60b. 34c. 150



(See Lesson Guide, p. 39)2. Fixing Skills

List down the first 5 multiples of each pair of numbers.1. 50 3. 20

15 402. 30

503. Generalization

How do identify multiples of given numbers?C. Application

Encircle the numbers that are not multiple of the number at the left.1. 11 (22, 37, 44, 55, 66, 78)2. 13 (36, 26, 39, 52, 64, 78)

IV. Put a check under a number at the top if the number at the left is a multiple of it.

8 9 7 6 12 15 131. 962. 1173. 724. 1055. 90

V. Answer the following.1. Find five multiples of 9 with a sum of 9.2. Find two multiples of 12 with a sum of 9.

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Date: ___________________

I. Show multiples of a number by 10, 100 Find the least multiple of a set of numbers. Value: Willingness to join group activitiesII. Showing multiples of a given number by 10, 100 Finding the least common multiples of a set of numbers Reference: BEC PELC I.A 5.1.5 Materials : old calendar, number cardsIII. A. Preparatory Activities

1. DrillDrill on finding prime and composite numbers. (Distribute old calendars)

2. Checking of Assignment3. Motivation




C. ApplicationList down the first five multiples of each pair of numbers and then circle their LCM

1. 50 __ __ __ __ __15 __ __ __ __ __

IV. Give the LCM of each pair of numbers.1. 6 and 92. 10 and 203.

V. Express each number as a product of prime factors. Then find the LCM.1. 18 , 362. 12 , 30

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Date: ____________________

I. Cognitive: Find the least common multiple of a set of numbersPsychomotor: Write the multiples and least common multiple of a set of

numbers.Affective: Work cooperatively with the other members of the group.

II. Finding the Least Common Multiple (LCM) of a set of numbersReference: BEC PELC I.A 5.1.6Materials : flashcards, rulerValue: Cooperation


Drill on giving numbers in sequence. 0, 3, 6, 9 , ___, ___, ___

2. ReviewFind the GCF of the following using the prime factorization.a. 24 and 36b. 15 and 40c. 12 and 24




What is the least common multiple (LCM) of a set numbers?

C. ApplicationGive the least common multiple (LCM).1. 6 and 82. 3 and 63. 10 and 4

IV. Name the LCM of these set of numbers.1. 12, 18, 362. 8, 12, 183. 8, 12, 16

V. Find the LCM of these sets of numbers1. 8, 12, 30 2. 12, 20, 45

16


Date: ____________________

I. Cognitive: State divisibility rules for 2, 5, and 10 Classify numbers as divisible by 2, 5 and 10.

Psychomotor: Post the corresponding number in the correct place in Venn diagram.

Affective: Participate actively in class discussion.

II. State Divisibility Rules of 2, 5, 10Reference: BEC PELC I.A 5.1.7

Materials: flashcards, rulerValue: Active participation


126 ÷ 3 = n522 ÷ 6 = n

2. ReviewGive at least 5 multiples of the following numbers.a. 4b. 3c. 5




Recall the divisibility rules for 2, 5 and 10.

C. ApplicationWrite on the blank before each item whether the given number is divisible by 2, 5, or 10._______ 1. 16_______ 2. 125

IV. Put a check under each corresponding column to identify whether each given number is divisible by 2, 5, 10

2 5 101. 1202. 405

V. Put a check on the blank if the first number is divisible by the second number.X if not.1. 864 , 2 _____2. 606 , 10 _____

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Date: ____________________

I. Cognitive: State divisibility rules for 3, 6, and 9 Classify numbers as divisible by 3, 6 and 9.

Psychomotor: Put check marks under corresponding column where divisibility rules apply.

Affective: Participate actively in class discussion.

II. State Divisibility Rules of 3, 6, and 9Reference: BEC PELC I.A 5.1.7

Materials : flashcards, Venn Diagram Value: Active participation


Divide mentally366 ÷ 6 = n148 ÷ 2 = n

2. ReviewEncircle the number(s) which are exactly divisible by the given number before each item.

2 a. 17, 16, 20, 1510 b. 40, 14, 25, 300



(See Lesson Guide, p. 48)2. Generalization

Recall the divisibility rules for 3, 6 and 9.

C. ApplicationPut a check under the correct column applying the rules for divisibility.

3 6 9120315

IV. Identify if the number is divisible by 3. 6, or 9. Write on the blanks.1. 630 ____2. 363 ____3. 423 ____

V. Encircle the numbers, which are divisible by the given number before each item. 3 1. 54, 26, 346, 84 5 2. 65, 299, 846, 627

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Date: ____________________

I. Cognitive: State divisibility rules for 2, 3, 4, 5, 6, 9, and 10 Classify numbers as divisible by 2, 3, 4, 5, 6, 9, and 10

Psychomotor: Form numbers satisfying given conditions.Affective: Participate actively in class discussion.

II. State divisibility rules for 2, 3, 4, 5, 6, 9, and 10Reference: BEC PELC I.A 5.1.7Materials : flashcards, rulerValue: Active participation, teamwork


On easy division (Mental Computation)488 ÷ 8 = n279 ÷ 3 = n

2. ReviewHave the pupils recall the divisibility rules taken so far.Checking of assignment.

3. Motivation(See Lesson Guide, p. 50-51)


(See Lesson Guide, p. 51)2. Generalization

Recall the divisibility rules for 2, 3, 4, 5, 6, 9 and 10.

C. ApplicationWrite on the blank before each item whether the given number is divisible by 2, 3, 4, 5, 6, 9, and 10

_______ 1. 423_______ 2. 5746_______ 3. 3000

IV. Encircle 2, 3, 4, 5, 6, 9, and 10 if the number is divisible by these numbers 1. 702 2 3 4 5 6 9 10 2. 1632 2 3 4 5 6 9 10

V. Put a check under each column where divisibility rules apply.2 3 4 5 6 9 10

5324554249

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Date: ____________________

I. Cognitive: Visualize changing dissimilar fractions to similar fractions.Rename dissimilar fractions to similar fractions.

Psychomotor: Illustrate or match fractions equal to a given pair of dissimilar fractions.

Affective: Demonstrate helpfulness at all times by helping with the household chores.

II. Visualize changing dissimilar fractions to similar fractions.Renaming dissimilar fractions to similar fractions.

Reference: BEC PELC II.A 1Materials : fraction cards, chartsValue: Helpfulness, active participation in class activities


Drill in finding the LCM of given numbers.2. Review

Identifying pairs of equivalent fractions.Checking of assignment.




How do we rename dissimilar fractions to similar fractions?

C. ApplicationRename these dissimilar fractions to similar fractions.1. 3/10 , 4/62. 5/8 , 3/4

IV. Write as similar fractions1. 2/8 , 3/102. 2/9 , 2/43. 4/10, 5/12

V. Rename these dissimilar fractions as similar fractions.1. 6/8 , 2/122. 3/20 , 4/103. 7/8, 3/5

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Date: ____________________

I. Cognitive: Identify equal fractions.Use cross product to determine whether 2 fractions are equal.

Psychomotor: Write the cross product of a given pair of fractions.Affective: Appreciate things receive.

II. Identifying Equal Fractions.Using cross product to determine whether 2 fractions are equal.

Reference: BEC PELC II.A 1.2 and 1.2.1Materials : flashcards, fractional kitValue: Positive attitude towards sharing.


Drill on basic multiplication facts2. Review

Answer the following.Luz and Noemi were both given one pizza by their cousin. Luz ate ¾ of her pizza while Noemi ate 5/7 of hers. Who ate more pizza?




How do we identify equal fractions?

C. ApplicationCheck if the fractions are equal, use the cross product method. Then

write equal or not equal.1. 3/8 , 2/5 _______2. ¼ , 2/3 ______

IV. On the blanks before each number, write YES if the pair of fractions are equal and NO if not.___________ 1. 2/8 , 3/10___________ 2. ¼ , 3/12___________ 3. ½ , 3/6

V. Write the missing numerator And denominator to make the statement correct. 1. 2 ___ 2. 1 _7 3 = 12 4 =

21


Date: ____________________

I. Cognitive: Change fractions to lowest terms or higher terms.Psychomotor: Illustrate the process of changing fractions to lowest terms.Affective: Demonstrate diligence in doing one’s schoolwork.

II. Changing Fractions to lowest or Higher termsReference: BEC PELC II.A 1.3Materials : Activity sheets, cartolina stripsValue: Diligence


Drill on basic division facts2. Review

Find the GCF of the following pairs of numbers.a. 24, 6b. 64, 24

3. MotivationDo you love to eat cake? What kind of cake do you want to eat?



How do we change fractions to lowest terms? When do we say that a fractions is in its lowest terms?

C. ApplicationBox the fraction in the higher term. Transform them in the lowest terms.

1. 3/72. 3/93. 9/10

IV. Reduce the following to lowest term.1. 16/202. 14/283. 21/24

V. Complete the set of fractions 1. 1/3 , __/6 , __/9

22


Date: ____________________

I. Cognitive: Change fractions to lowest terms or higher terms.Psychomotor: Illustrate the process of changing fractions to lowest termsAffective: Demonstrate diligence in doing one’s schoolwork.

II. Changing Fractions to lowest or Higher terms Reference: BEC PELC II.A 1.3,Lesson Guide in Mathematics pp.68-73 Materials: Activity sheets, cartolina strips Value: Diligence

III. A. 1. Drill on basic division facts2. Review on finding the GCF

Find the GCF of the following pairs of numbers.1. 24 and 6 2. 64 and 24

3. Do you love to eat cake? What kind of cake do you want to eat?

B. 1. Refer to Lesson Guide pp. 69-702. a. Give three fractions equivalent to the given

1. 3/7 _______, _________, ____________2. 3/9 _______, _________, ___________

b. Reduce the following fractions to their lowest term.1. 5/15 _______ 2. 21/28 ________

3. How do we change fraction to lowest terms? When do we say a fraction is in the lowest term? How can we identify fraction in its lowest term?

IV. Reduce the following to lowest term1. 16/202. 14/283. 8/24(See Lesson Guide pp72-73)

V. A. Encircle the fraction which does not belong to the group. 1. 7/14 6/9 ½ 8/16

2. 3/7 1/3 5/15 4/12B. Give the GCF of each fraction, then change fractions to its lowest terms.

1. 2/4 = ______ = ______2. 5/15 = ______ = ______3. 4/12 = ______ = ______

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Date: ____________________

I. Cognitive: Estimate fractions close to 0, ½ , or 1Psychomotor: Draw regions and/or construct number lines to aid in estimation.Affective : Demonstrate proper attitude in winning or losing a game/contest.

II. Estimating Fractions close to 0, ½ , or 1Reference: BEC PELC II.A. 2,

Lesson Guide in Mathematics, pp. 73 - 78Materials: flashcards, number lineValues: Sportsmanship

III. A. 1. Drill on rounding off whole numbers2. Review in comparing fractions. (Group Activity) See Lesson Guide p74.

B. 1. Refer to Lesson Guide pp. 75-762. Round the fraction to 0, ½ , or 1

a. 9/12b. 7/8c. 2/15

3. In estimating fractions, what are things we have to consider in numerators and denominators?

C. 1. Do you get a closer estimate if you round a mixed number to the nearest half or to a whole number? Explain

2. Suppose you round ¾ down to ½ , and your friend rounds ¾ to 1. Explain why both answers are reasonable.

IV. Estimate the following fractions if they are close to 0, ½, 0r 1. Write the correct estimate on the blank.

1. ¾ ________2. 5/12 _______3. 11/13 _______

V. 1. Draw a number line showing 1/12 to 12/12 on an illustration board or cartolina.

2. List the fractions that are close to 0 , ½ , 0r 1

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Date: ____________________

I. Cognitive: Add two to four similar fractionsPsychomotor: Write the sum of the given similar factionsAffective: Show proper care of one’s belongings

II. Adding two to four Similar Fractions with or without regroupingReference: BEC PELC II.B.1.1

Lesson Guide in Mathematics, pp. 79-83Materials: Fraction cards, regionsValues: Proper care of one’s belongings

III. ProceduresA. 1. Drill on changing improper fractions to mixed number and vice versa.

2. Put a * before the number if the fraction is in the lowest terms. Simplify if it is NOT.

______ a. 9/11 ______ b. 4/6 ______ c. 7/8

3. Present the problemTrina used 3/8 m of plastic to cover her art portfolio and 2/8 m for her notebooks. How many meters of plastic cover did she use?

What kind of pupil is Trina?Why is it important to take care of your things?

B. 1. Refer to Lesson Guide pp. 80-822. Find the sum. Reduce the answers to lowest term.

a. 13/30 + 5/20b. 6/14 + 2/14c. 2/9 + 4/9 + 1/9

3. How do you add 2 or more similar fractions?C. Find the sum. Simplify if possible.

1. You finished 1/8 of a drawing on Tuesday and 3/8 more on Wednesday.

How much of the drawing did you finished?2. A weather report states that ¾ cm of water fell on Saturday and

the same amount on Sunday. How much rainwater fell on the two days?

IV. Find the sum. Reduce answers to simplest form.1. ¾ + ¾ = ________2. 4/8 + 1/8 = _______3. 8/10 + 3/10 = _______

V. Find the sum and give the answer in simplest form1. 2/5 + 8/5 + 3/52. 11/12 + 2/12 + 1/123. 2/7 + 5/74. 4/15 + 1/15 + 5/155. 5/9 + 2/9 + 4/19

25

__________________________________I. Cognitive : Visualize addition of dissimilar fractions without and with regrouping Psychomotor : Illustrate addition of dissimilar fractions Affective : Work harmoniously with others. II. Visualizing addition of dissimilar fractions without and with regrouping Reference: BEC PELC II.B.1.2 , Lesson Guide in Mathematics pp. 83 - 90 Materials : Fraction cards, regions, game boards, fraction chart Values: Peace and HarmonyIII. Procedures

A. 1. Drill on giving the LCM of given numbers2. Review on adding similar fractions using board games (See Lesson guide pp. 84-85)4. If you are going to combine the following musical notes ; one eight note, one

quarter note and one half note, what is the combined value ?B. 1. Refer to Lesson Guide pp. 86-88

2. Use models to find the sum. Reduce the answers to lowest term.a. ¼ + 2/3 b. 3/8 + ½ c. ½ + 1/3 d. What is the addition sentence for the diagram below?

+ =

3. How can we better understand addition of dissimilar fractions? C. Application.

1. If you add two fractions whose denominators are 4 and 5, what denominator will their sum have? Write and illustrate an example an example using models.

2. How would you illustrate this, two ¾’s and three 1/3 ‘s make a total of what number

IV. Use diagrams or fraction regions to add the following.1. 2/3 + 1/4 = ________2. 2/6 + 1/3 = _______3. 3/8 + 1/3 = _______

V. Find the sum of the following using diagrams.6. 2/5 + 1/3 + 4/67. 1/12 + 2/6 + 1/38. 2/7 + 5/69. 2/15 + 1/5 + 3/1010. 1/3 + 2/7 + 4/2

26

__________________________________I. Cognitive : Visualize addition of dissimilar fractions without and with regrouping Psychomotor : Illustrate addition of dissimilar fractions Affective : Work harmoniously with others. II. Visualizing addition of dissimilar fractions without and with regrouping Reference: BEC PELC II.B.1.2 , Lesson Guide in Mathematics pp. 83 - 90 Materials : Fraction cards, regions, game boards, fraction chart Values: Peace and HarmonyIII. Procedures

A. 1. Drill on giving the LCM of given numbers2. Review on adding similar fractions using board games (See Lesson guide pp. 84-85)5. If you are going to combine the following musical notes ; one eight note, one

quarter note and one half note, what is the combined value ?B. 1. Refer to Lesson Guide pp. 86-88

2. Use models to find the sum. Reduce the answers to lowest term.a. ¼ + 2/3 b. 3/8 + ½ c. ½ + 1/3 d. What is the addition sentence for the diagram below?

+ =

3. How can we better understand addition of dissimilar fractions? C. Application.

1. If you add two fractions whose denominators are 4 and 5, what denominator will their sum have? Write and illustrate an example an example using models.

2. How would you illustrate this, two ¾’s and three 1/3 ‘s make a total of what number

IV. Use diagrams or fraction regions to add the following.1. 2/3 + 1/4 = ________2. 2/6 + 1/3 = _______3. 3/8 + 1/3 = _______

V. Find the sum of the following using diagrams.1. 2/5 + 1/3 + 4/62. 1/12 + 2/6 + 1/33. 2/7 + 5/64. 2/15 + 1/5 + 3/105. 1/3 + 2/7 + 4/2

27

__________________________________I. Cognitive: Add dissimilar fractions. Psychomotor: Illustrate the steps in adding dissimilar fractions. Affective ; Form the habit of being obedient II. Adding Dissimilar Fractions Reference: BEC PELC II.B.1.3, Lesson Guide in Mathematics pp. 90-94 Materials : Fraction cards, regions Values: Obedience III. Procedures

A. 1. Drill on finding the LCM of given numbers2. Review on finding the LCM through the decomposition method3. Faith ate 3/6 of pizza . mark ate 2/12 of the same pizza. How many 5 parts of the pizza did they eat?

B. 1. Refer to lesson guide pp91-92 2. Find the sum

+ =

+ =

3. How do we add dissimilar fraction?C. Application

1. There are different musical notes. There are ¼ notes and 1/8 notes . How long will the sound be if two ¼ notes and three 1/8 notes are played?1. If you sleep 8 hours in a 24-hour day and take a 2-hour nap, what fraction of the

day have you been asleep?IV. Rename each fractions as similar fractions. Add then express the sum in lowest terms if possible?

1. 2/8 + ¾ =2. 5/8 + ¼ =3. 6/10 + ½ =

V. Find the sum and if necessary reduce the answer to its lowest form.1. 3/6 + 4/10 =2. 6/12 + 5/9 =3. 6/15 + 7/10 =4. 2/10 + ¾ =5. 5/9 + 10/15 =

28

__________________________________I. Cognitive: Add dissimilar fractions. Psychomotor: Illustrate the steps in adding dissimilar fractions. Affective ; Form the habit of being obedient II. Adding Dissimilar Fractions Reference: BEC PELC II.B.1.3, Lesson Guide in Mathematics pp. 90-94 Materials : Fraction cards, regions Values: Obedience III. Procedures

A. 1. Drill on finding the LCM of given numbers2. Review on finding the LCM through the decomposition method3. Faith ate 3/6 of pizza . mark ate 2/12 of the same pizza. How many 5 parts of the pizza did they eat?

B. 1. Refer to lesson guide pp91-92 2. Find the sum

+ =

+ =

3. How do we add dissimilar fraction?C. Application

1. There are different musical notes. There are ¼ notes and 1/8 notes . How long will the sound be if two ¼ notes and three 1/8 notes are played? 2.If you sleep 8 hours in a 24-hour day and take a 2-hour nap, what fraction of the day have you been asleep?

IV. Rename each fractions as similar fractions. Add then express the sum in lowest terms if possible?

1. 2/8 + ¾ =2. 5/8 + ¼ =3. 6/10 + ½ =

V. Find the sum and if necessary reduce the answer to its lowest form.1. 3/6 + 4/10 =2. 6/12 + 5/9 =3. 6/15 + 7/10 =4. 2/10 + ¾ =5. 5/9 + 10/15 =

29

__________________________________I. Cognitive: Add dissimilar fractions and whole numbers. Psychomotor: Write the answer in a number sentence through the aid of visual representation Affective ; Appreciate the importance of putting up a small income-generating project II. Adding Dissimilar Fractions and Whole Numbers Reference: BEC PELC II.B.1.4, Lesson Guide in Mathematics pp. 94-98 Materials : Fraction cards, regions, cut-outs Values: IndustryIII. Procedures

A. 1. Drill on finding the LCD of given numbers.2. Review on changing dissimilar fractions as similar fractions.3. Who among you have tasted sweet tamarind candies? Do you have an idea what ingredients they have?

B. 1. Refer to lesson guide p. 95-97 2. Find the sum

4 + 6 + 2/3 + ¾

5/10 + 3/6 + 153. How do we add dissimilar fraction and whole numbers?

C. Application 1. Lynette walked 2/3 km on Friday, 3/4 km on Saturday and 1 km on

Sunday. What is the total distance she walked? 2. Three hamsters were weighed by a veterinarian. 3/5 kg, 2/3 kg, and 2 kg. Give the total weight.

IV. Add. Express the answers in lowest terms. If possible. 1. 2/8 + ¾ + 3 + 4=2. 5 + 5/8 + ¼ =3. 8 + 5 + 6/10 + ½ =

V. Find the sum and if necessary reduce the answer to its lowest form.1. 8 + 10 + 3/6 + 4/10 =2. 6/12 + 5/9 + 6 + 4 =3. 18 + 2 + 6/15 + 7/10 =4. 7 + 2 + 3 + 2/10 + ¾ =5. 12 + 2 + 5/9 + 10/15 =

30

__________________________________I. Cognitive: Add dissimilar fractions and whole numbers. Psychomotor: Write the answer in a number sentence through the aid of visual representation Affective ; Appreciate the importance of putting up a small income-generating project II. Adding Dissimilar Fractions and Whole Numbers Reference: BEC PELC II.B.1.4, Lesson Guide in Mathematics pp. 94-98 Materials : Fraction cards, regions, cut-outs Values: IndustryIII. Procedures

A. 1. Drill on finding the LCD of given numbers.2. Review on changing dissimilar fractions as similar fractions.3. Who among you have tasted sweet tamarind candies? Do you have an idea what ingredients they have?

B. 1. Refer to lesson guide p. 95-97 2. Find the sum

4 + 6 + 2/3 + ¾

5/10 + 3/6 + 153. How do we add dissimilar fraction and whole numbers?

C. Application 1. Lynette walked 2/3 km on Friday, 3/4 km on Saturday and 1 km on

Sunday. What is the total distance she walked? 2. Three hamsters were weighed by a veterinarian. 3/5 kg, 2/3 kg, and 2 kg. Give the total weight.

IV. Add. Express the answers in lowest terms. If possible. 1. 2/8 + ¾ + 3 + 4=2. 5 + 5/8 + ¼ =3. 8 + 5 + 6/10 + ½ =

V. Find the sum and if necessary reduce the answer to its lowest form.1. 8 + 10 + 3/6 + 4/10 =2. 6/12 + 5/9 + 6 + 4 =3. 18 + 2 + 6/15 + 7/10 =4. 7 + 2 + 3 + 2/10 + ¾ =5. 12 + 2 + 5/9 + 10/15 =

31

__________________________________I. Cognitive: Add whole numbers and mixed forms. Psychomotor: Illustrate addition of whole numbers and mixed forms through a diagram. Affective : Budget one’s time wisely.II. Adding Whole Numbers and Mixed Forms Reference: BEC PELC II.B.1.5, Lesson Guide in Mathematics pp. 99-103 Materials : , regions, cut-outs, cartolina , pair of scissors Values: Spending time wiselyIII. Procedures

A. 1. Drill on changing fractions to simplest form.2. Review on adding mixed forms and similar fractions.3. Game: Cooperative work

B. 1. Refer to lesson guide p. 99-101 2. A. Find the sum. Simplify if possible.

a. 1 4/9 + 3 1/3 + 4b. 6 + 4 ¾ + 3 ¼

B. Draw diagrams to illustrate the following.a. 2 + 1 ½ + 2 2/3 b. 4 1/3 + 3 + 2 2/3

3. What kind of numbers did we add today ?How do we add mixed forms and whole numbers?

C. Application 1. Mang Lando catches 5-kg tuna fish. Mang Andres catches a 8 3/5 yellow-fin

fish. Mang Mario catchesa 6 2/5 kg blue-fin fish. What is the total weight of the catches?

2. A mixtures contains 10 cups of egg yolks, 4 ½ cups of milk, 2 2/4 cups of water, and 1 ½ cups of sugar. How many cups will be filled by the mixtures/

IV. A. What addition sentence is shown by the diagram?1.

+

_________ + ________ B. Add the following:

1. 4 + 2 7/8 = 2. 7 + 5 ¾ =

V. Illustrate then find the sum. 1. 6 + 3 2/6 =

2. 5 5/9 + 6 + 4 =3. 18 + 2 7/10 =4. 3 + 7 2/10 =5. 12 + 3 5/9 =

32

__________________________________I. Cognitive: Add whole numbers and mixed forms. Psychomotor: Illustrate addition of whole numbers and mixed forms through a diagram. Affective : Budget one’s time wisely.II. Adding Whole Numbers and Mixed Forms Reference: BEC PELC II.B.1.5, Lesson Guide in Mathematics pp. 99-103 Materials : , regions, cut-outs, cartolina , pair of scissors Values: Spending time wiselyIII. Procedures

A. 1. Drill on changing fractions to simplest form.2. Review on adding mixed forms and similar fractions.3. Game: Cooperative work

B. 1. Refer to lesson guide p. 99-101 2. A. Find the sum. Simplify if possible.

a. 1 4/9 + 3 1/3 + 4b. 6 + 4 ¾ + 3 ¼

B. Draw diagrams to illustrate the following.a. 2 + 1 ½ + 2 2/3 b. 4 1/3 + 3 + 2 2/3

3. What kind of numbers did we add today ?How do we add mixed forms and whole numbers?

C. Application 1. Mang Lando catches 5-kg tuna fish. Mang Andres catches a 8 3/5 yellow-fin

fish. Mang Mario catchesa 6 2/5 kg blue-fin fish. What is the total weight of the catches?

2. A mixtures contains 10 cups of egg yolks, 4 ½ cups of milk, 2 2/4 cups of water, and 1 ½ cups of sugar. How many cups will be filled by the mixtures/

IV. A. What addition sentence is shown by the diagram?1.

+

_________ + ________ B. Add the following:

1. 4 + 2 7/8 = 2. 7 + 5 ¾ =

V. Illustrate then find the sum. 1. 6 + 3 2/6 =

2. 5 5/9 + 6 + 4 =3. 18 + 2 7/10 =4. 3 + 7 2/10 =5. 12 + 3 5/9 =

33

__________________________________I. Cognitive: Add a mixed form and a dissimilar fraction. Psychomotor: Illustrate the number sentence using models. Affective : Demonstrate love and concern for love ones..II. Adding Dissimilar fractions and Mixed Forms Reference: BEC PELC II.B.1.6, Lesson Guide in Mathematics pp. 104-107 Materials : frcation cards, regions, number line model Values: ThoughtfulnessIII. Procedures

A. 1. Drill on adding dissimilar fractions2. Review on giving the LCD of 2 or more fractions3. Cooperative work

B. 1. Refer to lesson guide p. 105-106 2. Find the sum.

a. 9 ¾ + 1/3 =b. 5 2/10 + ½ =

3. How do we add a mixed form and dissimilar fraction?C. Application

1. Lito harvested 50 2/3 sacks of palay, 25 ½ sacks of corn, and 18 ¾ sacks of mango. How many sacks did he harvest in all?

2. Myrna wraps her four gifts. One gift used 3/5 meter of wrapper, another used 1 2/3 m, and the remaining two gifts used 2 ½ m each. How much wrapper was used in all?

IV. Add the following. Reduce answers to lowest term.1. 2 ¼ + 3/8 =

2. 1 2/10 + 3/5 = V. Illustrate then find the sum. 1. 3 2/7 + 1/3 =

2. 5 5/9 + ¾ =3. 4 9/16 + ¾ =4. 7 1/12 + 3/8 =5. 17 3/6 + 3/8 =

34

__________________________________I. Cognitive: Add a mixed form and a dissimilar fraction. Psychomotor: Illustrate the number sentence using models. Affective : Demonstrate love and concern for love ones..II. Adding Dissimilar fractions and Mixed Forms Reference: BEC PELC II.B.1.6, Lesson Guide in Mathematics pp. 104-107 Materials : fraction cards, regions, number line model Values: ThoughtfulnessIII. Procedures

A. 1. Drill on adding dissimilar fractions2. Review on giving the LCD of 2 or more fractions3. Cooperative work

B. 1. Refer to lesson guide p. 105-106 2. Find the sum.

a. 9 ¾ + 1/3 =b. 5 2/10 + ½ =

3. How do we add a mixed form and dissimilar fraction?C. Application

1. Lito harvested 50 2/3 sacks of palay, 25 ½ sacks of corn, and 18 ¾ sacks of mango. How many sacks did he harvest in all?

2. Myrna wraps her four gifts. One gift used 3/5 meter of wrapper, another used 1 2/3 m, and the remaining two gifts used 2 ½ m each. How much wrapper was used in all?

IV. Add the following. Reduce answers to lowest term.1. 2 ¼ + 3/8 =

2. 1 2/10 + 3/5 = V. Illustrate then find the sum. 1. 3 2/7 + 1/3 =

2. 5 5/9 + ¾ =3. 4 9/16 + ¾ =4. 7 1/12 + 3/8 =5. 17 3/6 + 3/8 =

35

__________________________________I. Cognitive: Add mixed forms. Psychomotor: Illustrate how to find the sum of mixed forms using actual objects such as sheets of paper, etc. Affective : Use things wisely and economically.II. Adding Mixed Forms Reference: BEC PELC II.B.1.7, Lesson Guide in Mathematics pp. 107-111 Materials : flashcards, show me cards, pieces of art paper, fraction chart Values: CooperationIII. Procedures

A. 1. Drill on converting fractions to lowest terms2. Review on giving the LCD of 2 or more fractions3. Present the lesson through a Math song

B. 1. Refer to lesson guide p. 108-110 2. Find the sum. Reduce to lowest term if necessary

a. 5 ¼ + 3 2/6 =b. 3 4/10 +5 ½ =

3. How do we add a mixed forms?C. Application : Answer the following.

1. The base of the sculpture is 1 ½ m. and 2 2/3 m. in height. How tall is the sculpture with the base?

2. Harold dug a hole in the ground 4 3/7 dm. deep. martin continued and made it 8 ½ dm. deeper. How deep was the hole they made?

IV. Add the following. Reduce answers to lowest term.1. 6 3/8 + 3 1/5 =

2. 2 1/7 + 8 ¾ = V. Illustrate then find the sum. 1. 16 2/7 + 27 1/3 =

2. 27 5/9 + 18 ¾ =3. 18 9/16 + 25 ¾ =4. 12 1/12 + 16 3/8 =5. 25 3/6 + 10 3/8 =

__________________________________I. Cognitive: Add mixed forms. Psychomotor: Illustrate how to find the sum of mixed forms using actual objects such as sheets of paper, etc. Affective : Use things wisely and economically.II. Adding Mixed Forms Reference: BEC PELC II.B.1.7, Lesson Guide in Mathematics pp. 107-111 Materials : flashcards, show me cards, pieces of art paper, fraction chart Values: CooperationIII. Procedures

A. 1. Drill on converting fractions to lowest terms2. Review on giving the LCD of 2 or more fractions3. Present the lesson through a Math song

B. 1. Refer to lesson guide p. 108-110 2. Find the sum. Reduce to lowest term if necessary

36

a. 5 ¼ + 3 2/6 =b. 3 4/10 +5 ½ =

3. How do we add a mixed forms?C. Application : Answer the following.

1. The base of the sculpture is 1 ½ m. and 2 2/3 m. in height. How tall is the sculpture with the base?


IV. Add the following. Reduce answers to lowest term.1. 6 3/8 + 3 1/5 =

2. 2 1/7 + 8 ¾ = V. Illustrate then find the sum. 1. 16 2/7 + 27 1/3 =

2. 27 5/9 + 18 ¾ =3. 18 9/16 + 25 ¾ =4. 12 1/12 + 16 3/8 =5. 25 3/6 + 10 3/8 =

__________________________________I. Cognitive: Estimate sums of fractions. Psychomotor: Make use of wise guesses in estimating sums of fractions. Affective : Estimate properly when a situation demands it.II. Estimating the Sum of Fractions Reference: BEC PELC II.B.1.8, Lesson Guide in Mathematics pp. 111- 115 Materials : fraction strips, fraction model and cards Values: Cooperation, health-wiseIII. Procedures

A. 1. Drill: Tell whether each fraction is closer to 0, to ½ or to 12. Review addition of fractions3. Are you fond of eating fruits? Do you frequently buy fruits from the market? What do you observe about the way the vendors weigh fruits?

B. 1. Refer to lesson guide p. 112-114 2. Estimate the sum.

a. 7/8 + 4/5 =b. 1/5 + 7/8 =

3. How do you estimate the sum of two or more fractions?C. Application : Answer the following.

1. You have 5 5/8 cups of flour. Your sister has 1 1/3 cups of flour to make a cake. Estimate how many cups of flour are there in all?


IV. Estimate the sum1. 2 3/6 + 5 7/10 =

2. 9 2/4 + 2 7/8 = V. Estimate the sum. 1. 3 2/6 + 4 3/5 = 4. 2 1/12 + 6 3/8 =

2. 15 2/8 + 9 ¾ = 5. 5 3/6 + 1 3/8 =3. 7 2/6 + 5 3/10 =

__________________________________

37

I. Cognitive: Estimate sums of fractions. Psychomotor: Make use of wise guesses in estimating sums of fractions. Affective : Estimate properly when a situation demands it.II. Estimating the Sum of Fractions Reference: BEC PELC II.B.1.8, Lesson Guide in Mathematics pp. 111- 115 Materials : fraction strips, fraction model and cards Values: Cooperation, health-wiseIII. Procedures



a. 7/8 + 4/5 =b. 1/5 + 7/8 =






2. 15 2/8 + 9 ¾ = 5. 5 3/6 + 1 3/8 =3. 7 2/6 + 5 3/10 =

__________________________________I. Cognitive: Add mentally. Psychomotor: Make use of wise guesses in estimating sums of fractions. Affective : Estimate properly when a situation demands it.II. Estimating the Sum of Fractions Reference: BEC PELC II.B.1.8, Lesson Guide in Mathematics pp. 111- 115 Materials : fraction strips, fraction model and cards Values: Cooperation, health-wiseIII. Procedures



a. 7/8 + 4/5 =b. 1/5 + 7/8 =



38




2. 15 2/8 + 9 ¾ = 5. 5 3/6 + 1 3/8 =3. 7 2/6 + 5 3/10 =

__________________________________I. Cognitive: Solve word problems involving addition of similar and dissimilar fraction without and with regrouping. Psychomotor: Write the correct number sentence for a problem. Affective : Participate willingly in the school activities.II. Solving word problems involving addition of similar and dissimilar fraction without and with regrouping. Reference: BEC PELC II.B.2.1, Lesson Guide in Mathematics pp. 119-124 Materials : fraction strips, fraction model and cards Values: Cooperation III. Procedures

A. 1. Drill: Adding similar fractions using show me board.2. Review addition of dissimilar fractions3. Do you join in the school activities and celebrations? What occasions and events do we celebrate in school?

B. 1. Refer to lesson guide p. 120-122 2. Analyze then solve.

a. May had 2 2/5 of lace. She bought 3 1/5 m of the same kind of lace. How many meters of lace did she have?

b. Mother bought three dressed chicken. One weighed 1 1/6 kg, another weighed 1 2/5 kg., and the third weighed 1 3/10 kg. How many kg of chicken did mother buy?

3. Elicit answers for the following questions?1) How do we solve problems?2) What are the steps in problem solving?3) If the fractions involved are dissimilar, what do we do?

C. Application : Analyze then solve.1. You have 5 5/8 cups of flour. Your sister has 1 1/3 cups of flour to make a

cake. Estimate how many cups of flour are there in all?2. Harold dug a hole in the ground 4 3/7 dm. deep. Martin continued and

made it 8 ½ dm. deeper. How deep was the hole they made?IV. Read the problem carefully. Write the number sentence then solve.

1) Number sentence __________________________2) Solution and answer _______________________

39

Sally uses 2 ½ meters of ribbon to decorate one package and 1 ¾ meters to decorate another. How much ribbon does she use altogether?

Sam painted ½ of the wall while jim painted 1/6 of it. Together , what part of the wall did they paint?


V. Analyze the problems by answering the given questions.

1) What is asked? ___________2) What are given? ___________3) What is the number sentence? ___________4) What is the solution and the answer? ___________





__________________________________I. Cognitive: Solve word problems involving addition of similar and dissimilar fraction without and with regrouping. Psychomotor: Write the correct number sentence for a problem. Affective : Participate willingly in the school activities.II. Solving word problems involving addition of similar and dissimilar

40

Grace buys 5 meters of fabric, while Margie buys 3 ¾ meters. How many meters of fabric do the two girls buy?

Josh bought 1 ½ kg of peanuts. Jill bought 2 ¼ for their retail merchandising project in class. How many kilograms of peanut did they buy in all?

Miss Hernandez bought cloth for her three nieces. If she gave them 1 2/5 m, 2 m, and 1 ½ each, how many meters of cloth did she buy in all?

English takes ¾ hour, mathematics 2/3 hour, and Science 1/3 hour. How much time is spent for the three subjects?

Margie bought 10 ¼ m of printed cloth and 2 2/5 m of plain white cloth. How many meters of cloth did she buy in all?

fraction without and with regrouping. Reference: BEC PELC II.B.2.1, Lesson Guide in Mathematics pp. 119-124 Materials : fraction strips, fraction model and cards Values: Cooperation III. Procedures

A. 1. Drill: Adding similar fractions using show me board.2. Review addition of dissimilar fractions3. Do you join in the school activities and celebrations? What occasions and events do we celebrate in school?

B. 1. Refer to lesson guide p. 120-122 2. Analyze then solve.

a. May had 2 2/5 of lace. She bought 3 1/5 m of the same kind of lace. How many meters of lace did she have?

b. Mother bought three dressed chicken. One weighed 1 1/6 kg, another weighed 1 2/5 kg., and the third weighed 1 3/10 kg. How many kg of chicken did mother buy?

3. Elicit answers for the following questions?1) How do we solve problems?2) What are the steps in problem solving?3) If the fractions involved are dissimilar, what do we do?

C. Application : Analyze then solve.1. You have 5 5/8 cups of flour. Your sister has 1 1/3 cups of flour to make a

cake. Estimate how many cups of flour are there in all?2. Harold dug a hole in the ground 4 3/7 dm. deep. Martin continued and

made it 8 ½ dm. deeper. How deep was the hole they made?IV. Read the problem carefully. Write the number sentence then solve.



V. Analyze the problems then solve.1) Grace buys 5 meters of fabric, while Margie buys 3 ¾ meters. How many meters

of fabric do the two girls buy?2) Josh bought 1 ½ kg of peanuts. Jill bought 2 ¼ for their retail merchandising

project in class. How many kilograms of peanut did they buy in all?3) Miss Hernandez bought cloth for her three nieces. If she gave them 1 2/5 m, 2

m, and 1 ½ each, how many meters of cloth did she buy in all?4) English takes ¾ hour, mathematics 2/3 hour, and Science 1/3 hour. How much

time is spent for the three subjects?5) Margie bought 10 ¼ m of printed cloth and 2 2/5 m of plain white cloth. How

many meters of cloth did she buy in all?

__________________________________I. Visualize subtraction of fraction.

41

Sally uses 2 ½ meters of ribbon to decorate one package and 1 ¾ meters to decorate another. How much ribbon does she use altogether?

Sam painted ½ of the wall while jim painted 1/6 of it. Together , what part of the wall did they paint?

Values: Perseverance in one’s workII. Visualizing Subtraction of Fraction Reference: BEC PELC II.C.1.1 Materials : Flashcards, concrete objects, fraction cardsIII. 1. Drill: on identifying fractional parts.

2. Checking of assignment3. Refer to LP pp. 88-904. Show the following sentence on a number line.

1. 8/15 - 3/152. 9/11 - 5/11

IV. Draw regions or number line to illustrate the following. Then find the difference.

1. 5/6 – 2/6 = ________2. 7/9 – 4/9 = ________

V. Illustrate the following equations by drawing fractional regions.1. 8/7 – 3/7 = N2. 5/7 - 1/7 = N

__________________________________I. Subtract whole numbers from mixed forms..

Values: Helping parents / eldersII. Subtracting whole numbers from Mixed Forms Reference: BEC PELC II.C.1.2 Materials : Flashcards, concrete objects, fraction cardsIII. 1. Drill: on subtracting whole numbers in patterns.

2. Checking of assignment3. Refer to LP pp. 91 - 934. Subtract the following. Reduce answers to lowest terms.

1. 15 ¾ 2. 26 5/7 - 2___ - 20____

IV. Find the difference then reduce answers to lowest terms.1. 5 2/7 - 1 = ________2. 35 ¾ - 20 = ________

V. Solve Mila has 13 ½ tomatoes for the vegetable salad. She used 8 tomatoes, how

many tomatoes were left?

__________________________________I. Subtract mixed numbers from mixed numbers with similar fraction.

Values: Thrifty /EconomyII. Subtracting mixed numbers from mixed numbers with similar fraction. Reference: BEC PELC II.C.1.3 Materials : Flashcards, concrete objects, fraction cardsIII. 1. Drill: on subtracting similar fractions.

2. Checking of assignment3. Refer to LP pp. 93 - 954. Perform as indicated. Reduce answers to lowest terms.

1. 10 5/6 2. 26 8/11 - 2_1/6_ - 5 3/11

42

IV. Find the difference then reduce answers to lowest terms.1. 27 2/7 - 12 1/7 = ________2. 35 12/19 - 20 7/19 = ________

V. Solve Amor weighs 50 1/8 kilos. Marife weighs 36 3/8 kilos. How many kilos heavier

is Amor than Marife?

__________________________________I. Subtract mixed numbers from mixed numbers with similar fraction.

Values: Thrifty /EconomyII. Subtracting mixed numbers from mixed numbers with similar fraction. Reference: BEC PELC II.C.1.3 Materials : Flashcards, concrete objects, fraction cardsIII. 1. Drill: on subtracting similar fractions.


1. 10 5/6 2. 26 8/11 - 2_1/6_ - 5 3/11

IV. Find the difference then reduce answers to lowest terms.1. 27 2/7 - 12 1/7 = ________2. 35 12/19 - 20 7/19 = ________

V. Solve Amor weighs 50 1/8 kilos. Marife weighs 36 3/8 kilos. How many kilos heavier

is Amor than Marife?

__________________________________I. Subtract fractions from whole numbers.

Values: Thrifty /EconomyII. Subtracting Fractions from Whole Numbers . Reference: BEC PELC II.C.1.4 Materials : Flashcards, concrete objects, fraction cardsIII. 1. Drill: on subtracting mixed numbers from mixed numbers


1. 10 2. 26 - _1/6_ - 3/11

IV. Find the difference then reduce answers to lowest terms.1. 56 – 5/25 = ________2. 28 – 3/12 = ________

V. Solve Ms. Sison bought 4 gallons of paint. She asked a painter to paint their wall. The

painter used ¾ gallons. How much paint was left?

__________________________________I. Subtract fractions from mixed numbers.

Values: Love and concern

43

II. Subtracting Fractions from Mixed Numbers . Reference: BEC PELC II.C.1.5 Materials : Flashcards, concrete objects, fraction cardsIII. 1. Drill: on subtracting similar fractions

2. Checking of assignment3. Refer to LP pp. 99 - 1024. Use the drill boards in subtracting the following

1. 15 3/9 – 8/9 2. 25 2/8 – 5/8 IV. Find the difference then reduce answers to lowest terms.

1. 10 4/12 – 1/12 = ________2. 16 ¾ - ¼ = ________

V. Find the difference. Change to lowest term if possible.1. 10 1/8 – 3/82. 19 11/12 – 2/12

__________________________________I. Subtract mixed number from whole numbers.

Values: Dignity of laborII. Subtracting Mixed numbers from Whole Numbers . Reference: BEC PELC II.C.1.6 Materials : Flashcards, coins, drawing of soap barsIII. 1. Drill: on expressing a whole number as mixed form.

2. Checking of assignment3. Refer to LP pp. 103 - 1054. Subtract the following

1. 15 – 3 8/9 2. 25 – 20 5/8 IV. Subtract 5 3/7 from the input.

Input Output107

13

V. Find the difference. Change to lowest term if possible.1. 10 – 7 3/8

__________________________________I. Visualize multiplication of fractions. Values: Neatness, CooperationII. Visualizing Multiplication of Fraction Ref: BEC-PELC II.D.1.1 Materials: Flashcards, strips of paperIII. 1. Drill on multiplying mentally.

2. What is ½ of a whole?3. Refer to LP pp125-127.4. Illustrate and find the product.

1. 4/8 x ½IV. Illustrate and then give the product.

1. 1/3 x ¾ = 2. 2/5 x ¼ =

44

V. Use paper folding to illustrate the following equations1. 2/3 x ½

__________________________________I. Find the fractional part of a number. Values: Alertness, active participationII. Find a Fractional Part of a Number Ref: BEC-PELC II.D.1.2 Materials: bottles, strips of paper, picturesIII. 1. Drill on naming fraction.

2. Checking of assignment.3. Refer to LP pp128-129.4. Find the answer.

1. 5/6 x 20 = NIV. Multiply. Write each answer in lowest term

1. 7/8 x 5 = 2. 3/7 x 21 =

V. Find the product. Express your answers to simplest form.1. 25 x 3/4 =

__________________________________I. Find the fractional part of a number. Values: Alertness, active participationII. Find a Fractional Part of a Number Ref: BEC-PELC II.D.1.2 Materials: bottles, strips of paper, picturesIII. 1. Drill on naming fraction.


1. 5/6 x 20 = NIV. Multiply. Write each answer in lowest term

1. 7/8 x 5 = 2. 3/7 x 21 =

V. Find the product. Express your answers to simplest form.1. 25 x 3/4 =

__________________________________I. Translate expressions such as ½ of, 2/3 of, of 1/6 into equation. Values: Cooperation, active participationII. Translating expressions such as ½ of, 2/3 of, of 1/6 into equation. Ref: BEC-PELC II.D.1.2 Materials: flashcards, show me cardsIII. 1. Drill on visualizing multiplication of fractions.


1. ½ of ¼ of 1/5 = N2. ¼ of 4/5 of 5/6 = N

45

IV. Multiply. Write each answer in lowest term1. 1/3 of 2/3 of 3/5 = 2. 2/5 of 5/6 of 3/7 =

V. Find the product. Express your answers to simplest form.1. ¾ of 5/8 of 5/9 = 2. ¼ of 2/3 of 5/8 =

__________________________________I. A. Compare the two quantities using ratio.

B. Write ratios in 2 waysC. Appreciate use of ratio in real-life situation.

II. Naming and Writing Ratio in Two ways Ref: BEC-PELC II.E. 1.1 – 1.2 Materials: flashcards, cut-outs, real objects Value : Appreciation for use of ratioIII. A. Preparatory Activities

1. Drill on reducing fraction to lowest terms as review of previous lesson.Use flashcards (pen-and-paper drill)

B. Lesson proper1. Refer to Strategy 1: Using actual pupils in naming ratio, Lesson Guide

pp218-2192. Fixing Skills: Write a ratio for the following. First as fraction in lowest term

and then with the colon (:)a) 12 chairs to 3 tables _________ , ___________b) 2 pencils for 5 pesos _________ , ___________

3. Generalization:What is a ratio?What are the two ways of writing ratio?

C. Application:Write the ratio in two ways .

a. 2 , 8

1. ratio of circles to triangles _____ , _____2. ratio of triangles to circles _____ , _____

IV. Write the ratio of the following in 2 ways.1) 3 books, 5 bags – ratio of books to bags2) 10 candies, 2 chocolate bars – ratio of chocolate bars to candies

V. Write the following ratios in 2 ways.1. number of days in a week to the number of months in a year2. number of hours in a day to the number of hours in a week

__________________________________I. A. Compare the two quantities using ratio.

D. Write ratios in 2 waysE. Appreciate use of ratio in real-life situation.

II. Naming and Writing Ratio in Two ways Ref: BEC-PELC II.E. 1.1 – 1.2 Materials: flashcards, cut-outs, real objects Value : Appreciation for use of ratioIII. A. Preparatory Activities

1. Drill on reducing fraction to lowest terms as review of previous lesson.

46

Use flashcards (pen-and-paper drill) B. Lesson proper

1. Refer to Strategy 1: Using actual pupils in naming ratio, Lesson Guide pp218-219

2. Fixing Skills: Write a ratio for the following. First as fraction in lowest term and then with the colon (:)

a) 12 chairs to 3 tables _________ , ___________b) 2 pencils for 5 pesos _________ , ___________

3. Generalization:What is a ratio?What are the two ways of writing ratio?

C. Application:Write the ratio in two ways .

a. 2 , 8

1. ratio of circles to triangles _____ , _____2. ratio of triangles to circles _____ , _____

IV. Write the ratio of the following in 2 ways.1) 3 books, 5 bags – ratio of books to bags2) 10 candies, 2 chocolate bars – ratio of chocolate bars to candies

V. Write the following ratios in 2 ways.1. number of days in a week to the number of months in a year2. number of hours in a day to the number of hours in a week

__________________________________I. A. Reduce ratios to lowest terms. B. Write ratios in lowest term. C. Demonstrate love for Mother Earth by recycling.II. Writing ratios in lowest terms, Solving word problems Ref: BEC-PELC II.E. 1.2 and 1.3 , Lesson Guide in Mathematics 5, pp222 - 226 Materials: flashcards, cut-outs, real object Values: Love for Mother Earth by recyclingIII. A. 1. Drill on reducing fraction to lowest terms.

a) 3/9 b) 6/302. Review in the definition of ratio and the two ways of writing a ratio (Colon

and fraction form.3. Use patterns to help you complete the table below.

Recycling CampaignNumber of Bottles

(kg)1 2 7 10 15

points 5 10 15 60

B. 1. See Activity 1, Lesson Guide pp223-2242. Express the ratio of the first quantity to the second quantity in simplest

form.1) 12 flowers to 4 vases2) 21 garbage cans to 14 classrooms

3. How do we reduce ratios to lowest term? (We divide the numerator and denominator by a common factor until the two numbers have the number 1 as the only common factor.

47

C. Express the ratio of the first quantity too the second quantity and reduce to simplest form.

1) 2 teachers to 46 pupils2) 4 books to 10 students3) 36 glasses of juice to 30 sandwiches

IV. Reduce the ratios to lowest term1. 10:53) 3:12

V. Write the ratios in lowest term.1. 100 dm 2. 120 min

10 dm 2 hr

__________________________________I. A. Reduce ratios to lowest terms. B. Write ratios in lowest term. C. Demonstrate love for Mother Earth by recycling.II. Writing ratios in lowest terms, Solving word problems Ref: BEC-PELC II.E. 1.2 and 1.3 , Lesson Guide in Mathematics 5, pp222 - 226 Materials: flashcards, cut-outs, real object Values: Love for Mother Earth by recyclingIII. A. 1. Drill on reducing fraction to lowest terms.

a) 3/9 b) 6/302. Review in the definition of ratio and the two ways of writing a ratio (Colon

and fraction form.3. Use patterns to help you complete the table below.

Recycling CampaignNumber of Bottles

(kg)1 2 7 10 15

points 5 10 15 60

B. 1. See Activity 1, Lesson Guide pp223-2242. Express the ratio of the first quantity to the second quantity in simplest

form.1) 12 flowers to 4 vases2) 21 garbage cans to 14 classrooms

3. How do we reduce ratios to lowest term? (We divide the numerator and denominator by a common factor until the two numbers have the number 1 as the only common factor.

C. Express the ratio of the first quantity too the second quantity and reduce to simplest form.

1) 2 teachers to 46 pupils2) 4 books to 10 students3) 36 glasses of juice to 30 sandwiches

IV. Reduce the ratios to lowest term1) 10:52) 3:12

V. Write the ratios in lowest term.1. 100 dm 2. 120 min

10 dm 2 hr

48

__________________________________I. A. Identifying equal ratios.

Find the missing term in equal ratios. B. Write equal ratios in two ways C. Appreciate the value of good nutrition to one’s healthII. Identifying Equal Ratio Ref: BEC-PELC II.E. 1.4, Lesson Guide in Mathematics 5 , pp227-231 Materials: pictures Values: Appreciating the value of proper nutritionIII. A. 1. Drill on naming ratios.

a) 5 red cars, 6 white carsb) 3 handbags , 4 hats

2. Review on reducing ratios to lowest terms.a) 4: 12 b) 10:16

3. Do you know how to cook? What recipes can you cook? B. 1. Refer to Strategy 1, Lesson Guide pp228

2. Solve for the missing term in each pair of ratios.a) 8/n = 14/45b) 5/7 = n/35

3. When are the ratios equal? How can we build sets of equal ratios?C. Complete the table to build set of equal ratios.

Petals 5 20Leaves 12

IV. Identify equal ratio. Write yes or no on the blank.1. 3:4 = 12:16 _______2. 3:2 = 6:4 _______

V. Give three or more equal ratios for each.1. 2:5 2. 2:14

__________________________________I. A. Rename in decimal form fractions whose denominators are powers of ten and vice versa. B. Write in decimal form fractions whose denominators are powers of 10. C. Rename the fractions to decimals accurately. II. Renaming in Decimal form Fractions whose denominators are Powers of 10 Ref: BEC-PELC II.F. 1.1 Materials: charts, grid

Values: Accuracy, Alertness, speedIII. A. 1. Drill : Mental computation

In a group of 10 members , 3 are boys. What is the ratio of the boys to the number of members? If you write this ratio as a fraction, which is the numerator? which is the denominator?

2. Review on writing word fractions into fraction symbols.Fraction Word Fraction Symbolsfour tenths ____________six tenths ____________

B. 1. Refer to Strategy 1, Lesson Guide in Mathematics 5, pp232 - 233 2. Matching type. Match column A with column B

_____ 1. eighty-nine thousandths a. 0.890

49

_____2. eight and nine-thousandths b. 0.0893. How do we determine the number of decimal places when changing fractions

to decimals?C. Rename these decimals as fractions.

1) 0.382) 0.6

Rename as decimals.1) 3/102) 5/100

IV. A. Express each fraction in decimal form.1. 3/102. 12/100

B. Rename as fractions.1. 0.252. 0.7

V. Express as a fraction with a power of 10 as denominators.1. 0.02752. 0.0002

__________________________________I. A. Identify the place value of each digit of a given decimal. B. Write the place value of each digit in a decimal number. C. Manifest accuracy in giving the place value of the given decimal. II. Giving the Place Value of each digit of a Given Decimal Ref: BEC-PELC II.F. 1.2 , Lesson Guide pp. 237-241 Materials: Place value Chart

Values: Accuracy and orderlinessIII. A. 1. Drill on renaming fractions in decimal form and vice versa

a) 2/10 a) 0.35b) 9/100 b) 0.007

2. Review on place value of whole numbers.a) 345b) 1 ,096

3. Matching Game. Refer to p. 238B. 1. Refer to Strategy 3 , lesson Guide p. 239 2. Give the place value of the underlined digit.

1. 0.146 ____________2. 0.614 ____________

3. How do we determine the place value of digit in a decimal?If you have a number with whole number and decimal part, how will you

read it? How will you write it? C. Give the answer.

1) I am a decimal number. My thousandths digit is less than my hundredths digit and 2 less than my tenths digit. What decimal number am I?

2) How many decimal places does two and four hundred seventeen thousandths have?

IV. Write the place value of the underlined digit.1. 0.18672. 19.567

V. Write the digit in each place

50

1. 0.34607a) _________ Hundredthsb) _________ Tenthsc) _________ Thousandths

__________________________________I. A. Identify the place value of each digit of a given decimal. B. Write the place value of each digit in a decimal number. C. Manifest accuracy in giving the place value of the given decimal. II. Giving the Place Value of each digit of a Given Decimal Ref: BEC-PELC II.F. 1.2 , Lesson Guide pp. 237-241 Materials: Place value Chart

Values: Accuracy and orderlinessIII. A. 1. Drill on renaming fractions in decimal form and vice versa

a) 2/10 a) 0.35b) 9/100 b) 0.007

2. Review on place value of whole numbers.a) 345b) 1 ,096

3. Matching Game. Refer to p. 238B. 1. Refer to Strategy 3 , lesson Guide p. 239 2. Give the place value of the underlined digit.

1. 0.146 ____________2. 0.614 ____________

3. How do we determine the place value of digit in a decimal?If you have a number with whole number and decimal part, how will you

read it? How will you write it? C. Give the answer.

1) I am a decimal number. My thousandths digit is less than my hundredths digit and 2 less than my tenths digit. What decimal number am I?

2) How many decimal places does two and four hundred seventeen thousandths have?

IV. Write the place value of the underlined digit.1. 0.18672. 19.567

V. Write the digit in each place1. 0.34607

a) _________ Hundredthsb) _________ Tenthsc) _________ Thousandths

__________________________________I. A. Read and write decimals through thousandths. B. Draw models of given decimals C. Be aware of current issues or events that affect our country.II. Reading and Writing Decimals through Thousandths Ref: BEC-PELC II.F. 2 , Lesson Guide pp241-247 Materials: Place value Chart, grid Values: Vigilance to current issues

51

III. A . 1. Drill on expressing fractions as decimals2/5 ½ ¾

2. Review on place value of decimalsWrite the digit in each place0.34912 __________ hundredths

__________ tenths__________ thousandths

3. Are you all aware of what is happening in our country? Are you aware of the economic situation in the Philippines.B. 1. Refer to Strategy 2, Lesson Guide pp 243-244 2. Write decimals that the teacher will dictate.

1. 267.2492. 1383.561

3. What are the rules in reading and writing decimals? C. Write the following in words.

a) 267.249b) 1383.561

IV. Based on the given clues, write the correct decimal number for each.1. 7 in the thousandths

5 in the ones place8 in the tenths4 in the tens

2. 9 in the tenths7 in the thousandths6 in the hundredths1 in the ones

V. Write the following as fraction and as decimal.1. One hundred twenty five and one hundredths.2. Sixty-four and thirty three hundredths.

__________________________________I. A. Read and write decimals through thousandths. B. Draw models of given decimals C. Be aware of current issues or events that affect our country.II. Reading and Writing Decimals through Thousandths Ref: BEC-PELC II.F. 2 , Lesson Guide pp241-247 Materials: Place value Chart, grid Values: Vigilance to current issuesIII. A . 1. Drill on expressing fractions as decimals

2/5 ½ ¾ 2. Review on place value of decimals

Write the digit in each place0.34912 __________ hundredths

__________ tenths__________ thousandths

3. Are you all aware of what is happening in our country? Are you aware of the economic situation in the Philippines.B. 1. Refer to Strategy 2, Lesson Guide pp 243-244 2. Write decimals that the teacher will dictate.

1. 267.2492. 1383.561

52

3. What are the rules in reading and writing decimals? C. Write the following in words.

c) 267.249d) 1383.561

IV. Based on the given clues, write the correct decimal number for each.1. 7 in the thousandths

5 in the ones place8 in the tenths4 in the tens

2. 9 in the tenths7 in the thousandths6 in the hundredths1 in the ones

V. Write the following as fraction and as decimal.1. One hundred twenty five and one hundredths.2. Sixty-four and thirty three hundredths.

__________________________________I. A. Round decimals to the nearest tenths/ hundredths/ thousandths. B. Round decimals to the nearest tenths/ hundredths/ thousandths. C. Round decimals to the nearest tenths/ hundredths/ thousandths with speed and accuracy. II. Rounding decimals to the nearest tenths/ hundredths/ thousandths. Ref: BEC-PELC II.F. 2.2, Lesson Guide pp 247-251 Materials: Place value Chart, flashcards

Values: Speed and AccuracyIII. A. 1. Drill on reading decimal numbers.

0.25 0.74830.46 0.3912

2. Review on reading and writing decimals.One hundred twenty three thousandths - _________Four and five ten thousandths - __________

B. 1. Refer to Strategy 1 , Lesson Guide pp.218-219 2. Round off to the underlined digit.

1. 267.2492. 1383.561

3. What is the rule in rounding off decimal numbers. C. Round off to the underlined digit.

1) 6.4502) 7.353) 0.3892

IV. Round off the following decimals to the nearest place indicated.Tenths Hundredths Thousandths

1. 6.58642. 35.0453

V. Round 85.81267 to the nearest place indicated.Tenths ___________Hundredths ___________Thousandths ___________

_________________

53

_________________I. A. Add decimals through thousandths without and with regrouping. B. Write the sum of decimals. C. Add accurately with speed.II. Adding Decimals through Thousandths without or With Regrouping Ref: BEC-PELC II.G. 1.a Materials: Place value Chart, flashcards

Values: Speed and AccuracyIII. A. 1. Drill on basic addition facts (using flashcards).

2. Review on adding whole numbers (Refer to Strategy 2, pp251) B. 1. Refer to Strategy 1, Lesson Guide pp. 252

2. Write the following in column then add.1) 25.17 + 8.232) 6.14 + 14.3

1. How do we add decimal numbers? How do we write the addends? Where do we put the decimal point in the sum?

C. Write the following in column then add.a) 23.34 + 0.334b) 4.175 + 52.1

IV. Add1. 7.32 + 5.21 = n2. 73.236 + 24.5 = n

V. Find the sum.1. 23.34 + 0.32. 0.76 + 0.23

__________________________________I. A. Add decimals through thousandths without and with regrouping. B. Write the sum of decimals. C. Add accurately with speed.II. Adding Decimals through Thousandths without or With Regrouping Ref: BEC-PELC II.G. 1.a Materials: Place value Chart, flashcards





C. Write the following in column then add.a) 23.34 + 0.334b) 4.175 + 52.1

IV. Add1. 7.32 + 5.21 = n2. 73.236 + 24.5 = n

V. Find the sum.1. 23.34 + 0.32. 0.76 + 0.23

54

__________________________________I. A. Add decimals through thousandths without and with regrouping. B. Write the sum of decimals. C. Add accurately with speed.II. Adding Decimals through Thousandths without or With Regrouping Ref: BEC-PELC II.G. 1.a Materials: Place value Chart, flashcards





C. Write the following in column then add.c) 23.34 + 0.334d) 4.175 + 52.1

IV. Add1. 7.32 + 5.21 = n2. 73.236 + 24.5 = n

V. Find the sum.1. 23.34 + 0.32. 0.76 + 0.23

__________________________________I. A. Subtract decimals through thousandths without and with regrouping. B. Write the difference of decimal numbers. C. Manifest accuracy and speed in subtracting decimals.II. Subtracting Decimals through Thousandths without or With Regrouping Ref: BEC-PELC II.G. 1.b, Lesson Guide pp254 - 257 Values: Speed and Accuracy

Materials: Place value Chart, flashcardsIII. A. 1. Drill on subtracting whole number.

45 - 19= ___ 70 – 21 = ___ 2. Review on addition of decimals.

a) 0.5 + 0.33 + 0.451 = b) 1.85 + 3.056 + 5.03 =

B. 1. Refer to Strategy 1, Lesson Guide pp. 2552. Find each difference

a) 0.4 – 0.27 = n b) 0.8 – 0.3 = n

3. What important points did you learn? What should you remember when the minuend has less decimal places than the subtrahend?

C. Application :Find the differencea) 0.762 – 0.36 = b) 0.93 – 0.642 =

55

IV. Write the following in column then find the difference1. 0.753 – 0.54 2. 2.4 - 0.963 =

V. Read and solve.1. Mr. Cruz has a 0.56 hectare land. He allotted 0.198 hectare to build a

fishpond. What part of his land is not allotted to his fishpond?2. What is the difference between 0.83 and 0.622 ?

__________________________________I. A. Subtract decimals through thousandths without and with regrouping. B. Write the difference of decimal numbers. C. Manifest accuracy and speed in subtracting decimals.II. Subtracting Decimals through Thousandths without or With Regrouping Ref: BEC-PELC II.G. 1.b, Lesson Guide pp254 - 257 Values: Speed and Accuracy

Materials: Place value Chart, flashcardsIII. A. 1. Drill on subtracting whole number.

45 - 19= ___ 70 – 21 = ___ 2. Review on addition of decimals.

a) 0.5 + 0.33 + 0.451 = b) 1.85 + 3.056 + 5.03 =

B. 1. Refer to Strategy 1, Lesson Guide pp. 2552. Find each difference

a) 0.4 – 0.27 = n b) 0.8 – 0.3 = n

3. What important points did you learn? What should you remember when the minuend has less decimal places than the subtrahend?

C. Application :Find the differencea) 0.762 – 0.36 = b) 0.93 – 0.642 =

IV. Write the following in column then find the difference1. 0.753 – 0.54 2. 2.4 - 0.963 =

V. Read and solve.1. Mr. Cruz has a 0.56 hectare land. He allotted 0.198 hectare to build a

fishpond. What part of his land is not allotted to his fishpond?2. What is the difference between 0.83 and 0.622 ?

__________________________________I. A. Add mixed decimals with regrouping. B. Write mixed decimal addends properly in column. C. Value/ Importance of lining up of decimals points accurately.II. Adding mixed decimals with regrouping Ref: BEC-PELC II.G. 2, Lesson Guide pp257 - 263 Values: Speed and Accuracy

Materials: Place value Chart, flashcardsIII. A. 1. Drill on addition of whole number.

23 + 8= ___ 41 + 26 = ___ 2. Review on adding decimals without or with regrouping.

a) 0.5 + 0.33 + 0.451 =

56

b) 1.85 + 3.056 + 5.03 = 3. Game See Lesson Guide p 258

B. 1. Refer to Strategy 1, Lesson Guide pp. 258-2592. Find each sum.

a) 3.9 + 6.27 = n b) 40.59 + 1.2 = n

3. How do we add mixed decimals with regrouping? C. Application :Add the following.

a) 4.38 + 4.79 = b) 2.485 + 4.25=

IV. Write the following in column and add.1. 8.6 + 7.4 + 9.35 = n2. 4.521 + 1.46 + 2.8 = n

V. Find the missing addend or sum.1. 33.45 + 14.25 = ___2. ____ + 174.6 = 211

__________________________________I. A. Subtract decimals through thousandths without and with regrouping. B. Write the difference of the given mixed decimals. C. Subtract mixed decimals with and without regrouping with accuracy.II. Subtracting Decimals through Thousandths without or With Regrouping Ref: BEC-PELC II.G. 2.b Materials: Place value Chart, flashcards

Values: Speed and AccuracyIII. A. 1. Drill on subtraction from multiples of 10 (Drill cards)

50 – 27 = 30 – 16 =

2. Review on subtracting whole numbers without and with regrouping.2345 – 763 = 897 – 189 =

B. 1 . Refer to Strategy 1 and 2, LG pp265 – 266. 2. Find each difference.

a) 5.3 – 1.8b) 3.28 – 1.59

3. What should be done when the last two digits from the right of the subtrahend are greater than the minuend? (Regrouping is done)C. Write in column and subtract.

1) Subtract 25.963 from 114.042) Take away P 83.12 from P 200.

IV. Write the following in column then find the difference1. 9.99 – 4.56 = n2. 41.2 – 25.731 = n

V. Read and solve.1. If 18.0039 is taken away from 32.2746, what is left?2. A barangay has a total road length of 184.53 km. If 109.97 km of this had

been paved, how much more remains to be paved?

__________________________________

57

I. Solve word problems involving addition and subtraction of decimals including money. Values: Speed and AccuracyII. Solving Word Problems Involving Addition and Subtraction of Decimals Including Money Ref: BEC-PELC II.G. 3.1 Materials: Place value Chart, flashcards, chartsIII. 1. Drill on addition and subtraction of decimals.

2. Checking of assignment. / Review3. Refer to LP pp. 268-2694. Solve the following problems

1. A meter measures about 39.37 inches. How much longer is a meter than a yard?

IV. Solve the following problems.1. Ellen has P7.35 while her brother has P4.95

a. How much money do they have?b. How much more money does Ellen have than her brother?

V. Read and solve.1. Mrs. Flores bought 3 chickens, which weighed 2.7 kilos, 1.8 kg and 2.7 kg.

What was the total weight?__________________________________I. A. Visualize multiplication of decimals using models. B. Draw and color neatly the decimal models. C. Appreciate the value of clean work.II. Visualizing Multiplication of Decimals Ref: BEC-PELC II.H.1.1 Materials: flashcards, colored chalk, drawings

Values: Keep one’s work and work area neat and cleanIII. A. 1. Drill on addition and subtraction of decimals.

2. Checking of assignment. / Review B. 1. Refer to Strategy 1, Lesson Guide p 275

2. Use number line to show the product of the following.a) 3 x 0.4b) 0.5 x 0.8

3. How do we visualize multiplication of decimals?C. Shade the figures to represent each number sentence.

1. 0.80.3

IV. Illustrate the following number sentence.1. 2 x 0.5 = N2. 0.6 x 0.7 = N

V. Show the following multiplication equations by using number lines.1. 0.3 x 0.62. 0.5 x 0.8

__________________________________I. A. Visualize multiplication of decimals using models. B. Draw and color neatly the decimal models. C. Appreciate the value of clean work.58

II. Visualizing Multiplication of Decimals Ref: BEC-PELC II.H.1.1 Materials: flashcards, colored chalk, drawings

Values: Keep one’s work and work area neat and cleanIII. A. 1. Drill on addition and subtraction of decimals.

2. Checking of assignment. / Review B. 1. Refer to Strategy 1, Lesson Guide p 275

2. Use number line to show the product of the following.c) 3 x 0.4d) 0.5 x 0.8

3. How do we visualize multiplication of decimals?C. Shade the figures to represent each number sentence.

2. 0.80.3

IV. Illustrate the following number sentence.1. 2 x 0.5 = N2. 0.6 x 0.7 = N

V. Show the following multiplication equations by using number lines.1. 0.3 x 0.62. 0.5 x 0.8

__________________________________I. A.Multiply tenths by another tenths. B. Write decimal point in the product correctly. C. Appreciate the beauty of nature. II. Multiplying tenths by another tenths Ref: BEC-PELC II.H.1.2 Materials: multiplication wheel, 10 by 10 grid

Values: Appreciation of the beauty of natureIII. A. 1. Drill on basic multiplication facts using the multiplication wheel.

2. Illustrate the number sentence below1. 3 x 0.52. 0.6 x 0.3

3. How many of you have gone to Luneta? Fort Santiago? What do you usually see in these places?B. 1. Refer to Strategy 1, p280 2. Give the product .

a) 0.5 x 0.2 = nb) 0.9 x 0.4 = n

3. How do we multiply tenths by another tenths?C. Multiply the following decimals

1. 0.8 x 0.3 = n2. 0.7 x 0.8 = n

IV. Copy and place the decimal point in the product1. 0.7 x 0.5 = N3. 0.6 x 0.3 = N

V. Copy and complete the table.x 0.3 0.4 0.5

59

1 0.62 0.73 0.8

__________________________________I. A. Multiply hundredths by tenths and vice versa. B. Apply the rule in multiplying decimals. C. Appreciate the value of helping one another.II. Multiplying tenths by another tenths Ref: BEC-PELC II.H.1.3 Materials: multiplication wheel, 10 by 10 grid

Values: Appreciation of the beauty of natureIII. A. 1. Drill on basic multiplication facts using the multiplication wheel.

2. Checking of assignment. / Review 3. What can you say about the family in the picture Why do you think the family looks happy?

B. 1. See Strategy 1, p283 2. Tell how many decimal places each product will have without actually

computing.a) 0.6 x 0.05 _________b) 0.11 x 0.7 _________

3. How do we multiply hundredths by tenths? C. Multiply the following decimals

1. 0.48 x 0.3 = n2. 0.71 x 0.8 = n

IV. Multiply and place the decimal point in the product1. 0.93 x 0.8 = N2. 0.7 x 0.95 = N

V. Write in column then multiply.1. 0.28 x 0.3 =2. 0.6 x 0.36 =3. 2.4 x 0.04 =

__________________________________I. Multiply mixed decimals with tenths and hundredths by whole numbers. Values: Working well with othersII. Multiplying mixed decimals with tenths and Hundredths by Whole number Ref: BEC-PELC II.H.1.4 Materials: multiplication wheel, 10 by 10 gridIII. 1. Drill on basic multiplication facts using the multiplication wheel.

2. Checking of assignment. / Review3. Refer to LP pp. 185-1874. Multiply the following decimals

1. 50.04 x 93 = n2. 10.49 x 6 = n

IV. Multiply and place the decimal point in the product1. 16.57 x 6 = N2. 38.2 x 7 = N

60

V. Tell whether the decimal point I written on the proper place. Put a check mark to indicate the correct answers, if not, write the correct answer.

1. 2.3 x 2 = 0.462. 3.6 x 4 = 14.4

__________________________________ I. Multiply mixed decimals by mixed decimals with tenths and hundredths. Values: Health consciousness, accuracyII. Multiplying mixed decimals by Mixed Decimals with Tenths and Hundredths Ref: BEC-PELC II.H.1.5 Materials: pictures, flashcards, number cardsIII. 1. Drill on basic multiplication facts using the multiplication wheel.

2. Checking of assignment. / Review3. Refer to LP pp. 187 - 1904. Copy and place the decimal point in the product.

1. 2.3 x 4.09 = 94072. 3.6 x 5.28 = 19008

IV. Multiply and place the decimal point in the product1. 74.12 x 6.3 = N2. 5.49 x 4.6 = N

V. Find the products. 1. 6.3 x 10.25 = N2. 18.4 x 35.15 = N

__________________________________I. Multiply decimals by 10 and 100. Values: AwarenessII. Multiplying Decimals by 10 and 100 Ref: BEC-PELC II.H.1.5 Materials: pictures, flashcards, number cardsIII. 1. Drill on basic multiplication of whole numbers by 10, 100, 100

2. Checking of assignment. / Review3. Refer to LP pp. 190 - 1924. Give the product orally.

1. 2.147 x 10 = ______2. 35.86 x 100 = _______

IV. Multiply.A. 10 x 0.9 _______ B. 100 x 75.46 = ________

0.06 _______ 4.08 = ________0.75 ______ 56.79 = ________

0.8317 = _______V. Find the products.

1. 6.3 x 102 = N2. 18.4 x 103 = N

__________________________________I. Multiply decimals by 0.1 , 0.01 and 0.001 Values: Awareness

61

II. Multiplying Decimals by 0.1 , 0.01 and 0.001 Ref: BEC-PELC II.H.1.7 Materials: pictures, flashcards, number cardsIII. 1. Drill on multiplying decimals by 10 100 and 1000 mentally

2. Checking of assignment. / Review3. Refer to LP pp. 192-1944. Give the product orally using flashcards

0.12 x 0.01 = ______0.8 x 0.001 = _______

IV. Multiply the following mentally.1. 2.8 x 0.12. 197.64 x 0.0013. 35.678 x 0.01

V. Make flashcards showing multiplication of decimals by 0.1 , 0.01 and 0.001 Practice multiplying at home.

__________________________________I. Solve word problems involving multiplication of decimals. Values: Accuracy / Spending money wiselyII. Solving Word Problems involving Multiplication of Decimals Ref: BEC-PELC II.H.1.8 Materials: pictures, flashcards, number cardsIII. 1. Drill on multiplying decimals.

2. Checking of assignment. / Review3. Refer to LP pp. 194-1964. Solve the problem

a. Arnel plays volleyball with his friends for 1.9 hours every practice day. How many hours does he play in 5 days?

IV. Write the mathematical sentence then solve.1. Ms. Sison bought 5 bags of refine sugar each weighing 2.5 kilograms. What

is the total weight of 5 bags of sugar?V. Solve the following.

1. Ana went to the market. She bought the following:kg of onions at P34.45 a kgkg of tomatoes at P25.25 a kg

1.5 kg of potatoes at P28.30 a kga. Find the cost of onionsb. Find the cost of tomatoesc. Find the cost of potatoes

__________________________________I. Divide decimals by whole number. Values: Health consciousness II. Dividing Decimals bu whole Numbers Ref: BEC-PELC II.I. 1.2 Materials: pictures, flashcards, number cardsIII. 1. Drill on basic division facts.

2. Checking of assignment. / Review3. Refer to LP pp. 199-201

62

4. Find the quotient1. 3.5 ÷ 7 =2. 7.44 ÷ 18 =

IV. Find the quotient1. 0.207 ÷ 9 = _____1. 2.35 ÷ 5 = _____

V. Solve the n1. Solve for N in the equation 0.805 ÷ 9 = N

__________________________________I. Divide the decimals by decimals through hundredths. Values: PunctualityII. Dividing Decimals bu Decimals through Hundredths Ref: BEC-PELC II.I. 1.3 Materials: pictures, flashcards, number cardsIII. 1. Drill on easy division

2. Checking of assignment. / Review3. Refer to LP pp. 201 - 2044. Find the quotient

1. 0.81 ÷ 0.9 =2. 0.56 ÷ 0.7 =

IV. Find the quotient1. 0.207 ÷ 0.4 = _____2. 0.35 ÷ 0.8 = _____

V. Answer the questions.1. How many 0.31 meters are there in 96.1 meters?2. How many 0.12 cm are there in 6.48 cm?

__________________________________I. Solve word problems involving division of decimals or whole numbers by decimals Values: Wise spendingII. Solving Word problems Involving Division of Decimals and Whole Numbers Ref: BEC-PELC II.I. 2 Materials: pictures, flashcards, number cardsIII. 1. Drill on dividing decimals by whole numbers in flashcards

2. Checking of assignment. / Review3. Refer to LP pp. 204-2064. Solve

A group of 31 pupils signed up for a weekend computer course. They paid a total of P315.50. How much did each pupil pay?

IV. Read and solve.1. A 0.60 kg sack of fertilizer was used equally at 0.12 sack per field. How many

fields were covered?2. Mrs. Aldaba bought 5 mangoes for P45.50 . How much did each mango cost?

V. Solve1. Harry used 0.72 of silver were to repair 8 bracelets. How much did he use for

each bracelet?

__________________________________

63

I. Solve word problems involving division of decimals or whole numbers by decimals Values: Wise spendingII. Solving Word problems Involving Division of Decimals and Whole Numbers Ref: BEC-PELC II.I. 2 Materials: pictures, flashcards, number cardsIII. 1. Drill on dividing decimals by whole numbers in flashcards

2. Checking of assignment. / Review3. Refer to LP pp. 204-2064. Solve

A group of 31 pupils signed up for a weekend computer course. They paid a total of P315.50. How much did each pupil pay?

IV. Read and solve.1. A 0.60 kg sack of fertilizer was used equally at 0.12 sack per field. How many

fields were covered?2. Mrs. Aldaba bought 5 mangoes for P45.50 . How much did each mango cost?

V. Solve1. Harry used 0.72 of silver were to repair 8 bracelets. How much did he use for

each bracelet?

__________________________________I. Visualize 3-4 sided polygons Draw 3-4 sided polygons. Values: Patience and cooperationII. Visualizing, Identifying, Describing and Drawing 3-4 sided Polygons Ref: BEC-PELC III.I. Materials: cut-outs of 3-4 sided polygonsIII. 1. Drill on naming angles

2. Checking of assignment. / Review3. Refer to LP pp. 223-2254. Identify the following 3-4 sided polygons

a. d.

b.

e. c.

IV. Match column A with column B.A B

_______ 1. It has 4 equal sides and 4 right angles._______ 2. Three sides are congruent_______ 3. A three sides polygon with two sides equal_______ 4. A four sided polygon with one pair of parallel side._______ 5. A four sided polygon with 2 pairs of parallel side.

Ba. trapezoidb. parallelogramc. equilateral triangled. isosceles trianglee. rectanglef. square

64

V. Draw the following1. Equilateral triangle2. Trapezoid3. Rhombus

__________________________________I. Visualize 3-4 sided polygons Draw 3-4 sided polygons. Values: Patience and cooperationII. Visualizing, Identifying, Describing and Drawing 3-4 sided Polygons Ref: BEC-PELC III.I. Materials: cut-outs of 3-4 sided polygonsIII. 1. Drill on naming angles

2. Checking of assignment. / Review3. Refer to LP pp. 223-2254. Identify the following 3-4 sided polygons

a. d.

b.

e. c.

IV. Match column A with column B.A B

_______ 1. It has 4 equal sides and 4 right angles. a. trapezoid_______ 2. Three sides are congruent b. parallelogram_______ 3. A three sides polygon with two sides equal c. equilateral_______ 4. A four sided polygon with one pair of parallel side. d. isosceles_______ 5. A four sided polygon with 2 pairs of parallel side. e. rectangle

f. squareV. Draw the following

1. Equilateral triangle2. Trapezoid3. Rhombus

__________________________________I. Draw 5 or more sided polygons. Values: CooperationII. Visualizing, Identifying, Describing and Drawing 5 or more sided Polygons Ref: BEC-PELC III.2. Materials: cut-outs of 3-4 sided polygonsIII. 1. Drill : Identifying geometrical figures.

2. Checking of assignment. / Review3. Refer to LP pp. 226-2274. Encircle the polygons. Explain why the others are not polygons.

a. d.

b.

e.

65

c.

IV. Name the polygon described._______ 1. Polygons with 5 sides._______ 2. Polygon with 8 sides_______ 3. Polygon with 10 sides_______ 4. Polygon with 9 sides_______ 5. Polygon with 7 sidesV. Draw the following

1. nonagon2. dodecagon3. heptagon

__________________________________I. Visualize congruence or similarity of polygons Values: Willingness to do assigned tasksII. Visualizing Congruent or Similarity of Polygons Ref: BEC-PELC III.3. Materials: cut-outs of 3-4 sided polygonsIII. 1. Drill : Identifying geometrical figures.

2. Checking of assignment. / Review3. Refer to LP pp. 228-2304. A. Draw congruent polygons.

1.

2.

B. Draw similar polygons

1.

2.

IV. Identify if congruent or similar.1.

_______________

2. _______________

V. Draw the following 1. congruent polygons2. similar octagon

__________________________________I. A. 1. Derive a formula for finding the distance around a circle.

2. Find the circumference of a circle in meter and cm.B. Write formula for the circumference of a circle.C. Work cooperatively with the other members of the group

II. Deriving a Formula for finding the distance around a circle Ref: BEC-PELC IV.A.1

66

Materials: circular objectsValues: Cooperation

III. A. 1. Drill on identifying different kinds of plane figures. Flash models of plane figures.

2. Checking of assignment. / ReviewIdentify the parts of a circle.

3. Let the pupils sing the song about circles. Small Circle, Big CircleB. 1. Refer to Strategy 1, lesson guide pp364-365

2. Using 3.14 for π , find the circumference of a circle.a) d= 12 cmb) d= 5 cmc) r = 2 m

3. What is the formula for the circumference of a circle?C.. Application.

1. About how many times as great is the diameter with the circumference? 2. Using 22/7 for π , find the circumference of

a) r = 2.5 cmb) d = 42 cmc) r = 5 cm

IV. Find the circumference of these circles using 3.141. 2.

V. Draw a diagram to help you solve the problem A. Barry , a puppy , made a path by wailing at the end of his chain, which is 6 meters long. What is the distance around Barry’s path. __________________________________I. A. 1. Derive a formula for finding the distance around a circle.


II. Deriving a Formula for finding the distance around a circle Ref: BEC-PELC IV.A.1 Materials: circular objects

Values: CooperationIII. A. 1. Drill on identifying different kinds of plane figures. Flash models of plane figures.

2. Checking of assignment. / Review

67

6 cm

7 m

Identify the parts of a circle.

3. Let the pupils sing the song about circles. Small Circle, Big CircleB. 1. Refer to Strategy 1, lesson guide pp364-365

2. Using 3.14 for π , find the circumference of a circle.a) d= 12 cmb) d= 5 cmc) r = 2 m



a) r = 2.5 cmb) d = 42 cmc) r = 5 cm


V. Draw a diagram to help you solve the problem Barry , a puppy , made a path by wailing at the end of his chain, which is 6 meters long. What is the distance around Barry’s path.

__________________________________I. A. 1. Derive a formula for finding the distance around a circle.


II. Deriving a Formula for finding the distance around a circle Ref: BEC-PELC IV.A.1 Materials: circular objects

Values: CooperationIII. A. 1. Drill on identifying different kinds of plane figures. Flash models of plane figures.

2. Checking of assignment. / ReviewIdentify the parts of a circle. 3. Let the pupils sing the song about circles. Small Circle, Big Circle

B. 1. Refer to Strategy 1, lesson guide pp364-3652. Using 3.14 for π , find the circumference of a circle.

a) d= 12 cmb) d= 5 cmc) r = 2 m


68

6 cm

7 m


a) r = 2.5 cmb) d = 42 cmc) r = 5 cm


V. Draw a diagram to help you solve the problem A circular lagoon is 15 meter in radius. If you walk twice around it, How many meters will that be?

__________________________________I. A. Find the circumference of a circle in meter and cm.

B. Write the formula for the circumference of a circle.C. Observe accuracy in one’s work.

II. Finding the Circumference a circle Ref: BEC-PELC IV.A.2 Materials: cut outs of different sizes of object

Values: AccuracyIII. A. 1. Drill on identifying different kinds of polygons.

2. Review on finding the perimeter.a) A rectangle with a length of 12.5 cm. and width of 9.5 cmb) A square whose side is 12.75 m.

Review and Identify the parts of a circle. 3. Let the pupils sing the song about circles. Small Circle, Big Circle

B. 1. Refer to Strategy 3, lesson guide pp367-3682. Using 3.14 for π , find the circumference of each circle below.

7 m 9.5 cm 4.5 cm 15 m

3. What is the formula for the circumference of a circle?To find the circumference of the circle , use the formula : C = 2πr or C = πd

C.. Application. 1. Find the error. Your friend is finding for the circumference of a circle with a

radius of 3 millimeters. Describe and correct the error.

2. Find the circumference of the circle described. Tell what the value you used for

IV. Find the circumference of these circle using 3.14 with the following radius or diameter.

1. r = 11 mC = ?

69

10 cm

9 m

C = dπ = (314)(3) = 942 mm

2. d = 2 cmC = ?

3. r = 9.5 mC = ?

V. Complete the table below.Circle Radius Diameter Circumference

A 24 cmB 40 mC 35 cmD 34.5 m

__________________________________I. A. Find the circumference of a circle in meter and cm.

B. Write the formula for the circumference of a circle.C. Observe accuracy in one’s work.

II. Finding the Circumference a circle Ref: BEC-PELC IV.A.2 Materials: cut outs of different sizes of object

Values: AccuracyIII. A. 1. Drill on identifying different kinds of polygons.

2. Review on finding the perimeter.a) A rectangle with a length of 12.5 cm. and width of 9.5 cmb) A square whose side is 12.75 m.

Review and Identify the parts of a circle. 3. Let the pupils sing the song about circles. Small Circle, Big Circle

B. 1. Refer to Strategy 3, lesson guide pp367-3682. Using 3.14 for π , find the circumference of each circle below.

7 m 9.5 cm 4.5 cm 15 m

3. What is the formula for the circumference of a circle?To find the circumference of the circle , use the formula : C = 2πr or C = πd

C.. Application. 1. Find the error. Your friend is finding for the circumference of a circle with a

radius of 3 millimeters. Describe and correct the error.

2. Find the circumference of the circle described. Tell what the value you used for


1. r = 11 mC = ?

2. d = 2 cmC = ?

3. r = 9.5 m

70

C = dπ = (314)(3) = 942 mm

C = ?V. Find the circumference of each circle (use π = 3.14)

1. r = 16 cmC = ?

2. d = 21 cmC = ?

3. d = 26 mC = ?

__________________________________I. A. Solve word problems involving circumference measure.

B. Write solutions of word problemsC. Participate actively in class activities.

II. Solving Word problems involving circumference measure Ref: BEC-PELC IV.A.3 Materials: cut outs of different sizes of object, problem chart

Values: Creativity in doing thingsIII. A. 1. Drill on basic multiplication facts using flashcards.

2. Review: Fill in the blanks with the correct answer.a) The distance around a circle is _____________b) A line that passes through the center of the circle is _____________

3. Let the pupils sing the song about circles. Small Circle, Big CircleB. 1. Refer to Activity 1, Lesson Guide pp 370-371

2. Solve the following problems.a) What is the circumference of a cylindrical jar 40 cm in diameter?b) A circular table top has a diameter of 35.5 cm. How many lace is

needed to decorate the lace? 3. What is the formula for the circumference of a circle?

How do you solve problems on circumference?To find the circumference of the circle , use the formula : C = 2πr or C = πd

C.. Application. 1. Your friend is finding for the circumference of a circle with a radius of 16 cm .

What is the circumference?2. A bicycle tire has a radius of 30 cm. Find the circumference of the tire.


1. A circular garden has a radius of 5.5 m. What is the circumference?2. A manmade lagoon has a radius of 25 m. If you walk thrice around it how

many meters will that be?V. Copy and solve the problem.

1. Fredericks bicycle wheel has a diameter of 70 cm. What is the circumference of the wheel?

2. A circle is half the radius of the larger circle. If the radius of the larger circle is 100 meters, what is the :

a) radius of the smaller circleb) circumference of the smaller circle

__________________________________I. A. Solve word problems involving circumference measure.

71

B. Write solutions of word problemsC. Participate actively in class activities.

II. Solving Word problems involving circumference measure Ref: BEC-PELC IV.A.3 Materials: cut outs of different sizes of object, problem chart

Values: Creativity in doing thingsIII. A. 1. Drill on basic multiplication facts using flashcards.

2. Review: Fill in the blanks with the correct answer.a) The distance around a circle is _____________b) A line that passes through the center of the circle is _____________

3. Let the pupils sing the song about circles. Small Circle, Big CircleB. 1. Refer to Activity 1, Lesson Guide pp 370-371

2. Solve the following problems.a) What is the circumference of a cylindrical jar 40 cm in diameter?b) A circular table top has a diameter of 35.5 cm. How many lace is

needed to decorate the lace? 3. What is the formula for the circumference of a circle?

How do you solve problems on circumference?To find the circumference of the circle , use the formula : C = 2πr or C = πd

C.. Application. 1. Your friend is finding for the circumference of a circle with a radius of 16 cm .

What is the circumference?2. A bicycle tire has a radius of 30 cm. Find the circumference of the tire.


1. A circular garden has a radius of 5.5 m. What is the circumference?2. A manmade lagoon has a radius of 25 m. If you walk thrice around it how

many meters will that be?V. Copy and solve the problem.

1. Fredericks bicycle wheel has a diameter of 70 cm. What is the circumference of the wheel?

2. A circle is half the radius of the larger circle. If the radius of the larger circle is 100 meters, what is the :

a) radius of the smaller circleb) circumference of the smaller circle

72

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