MATHEMATICS VI

DATE : _______________________________

I. Learning Objective :Give the meaning of exponent and base. PELC # A.1. 1.1

II. Learning Content:Skill : Giving the meaning of exponent and baseReference : Math Textbook VIMaterials : Chart, Flashcard

III. Learning Experiences :A. Preparatory Activities :

1. Review / Drill : Let the pupils describe the pattern shown.

Let them draw the next figure in the pattern.

How many squares are there in the 2nd figure? In the 3rd figure?Discover the rule in finding the next figure?How many squares will be in the fifth figure?

2. Motivation :1. Show pictures of the map of the Philippines and of General Aguinaldo and

let them read the following sentences.1.) General Emilio Aguinaldo is the first President of the Republic.2.) The Philippines is in Southeast Asia.3.) Most Filipinos celebrate Christmas in the 10th month of the year.

2. Which sentence is true or false? Why?3. If sentences can be true or false, in mathematics there are sentences that

are either true or false.B. Developmental Activities

1. Presentation Rhoda has to sew a tablecloth 9 dm by 9 dm for their square – shaped table in the living room. How big is the area of the tablecloth?

Answering questions about the problem.a. How will you find the area of the table cloth?b. What number sentence will be used to solve the problem?c. Are the two quantities equal?

Value : Be clean and Orderly

d. Write the equation about the problem?

Valuing:

If you were Rhoda, will you also sew a tablecloth? Why?

2. Fixing Skillsa. Give the base and the exponential in each of the following orally.

1.) 2² 2.) 4⁴ 3.) 7⁷ 4.) 1⁸b. Complete the equation.

a.) 18 - = 5 + 6

= 11

b.) ² = 10 x 100 = 100

3. Generalization :What is exponent? Base?

C. Application: Rewrite each of the following using exponents. Determine the numerical value.1. second power of 72. Fourth power of 53. 2 x 2 x 2 x 2 x 2 x 24. 8 x 8 x 85. 15 x 15

IV. Evaluation :Directions: Complete the following sentences.1. In 5⁴, ____________ is the base and ___________ is the exponent.2. 6² is the exponent form of 6 x _____. 3. ________ tells the number of times the base is used as a factor.4. 2 ⁷ means multiplied 2 by itself _________ times.5. _________ is the number used as the factor.

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V. Assignment:

Fill in the blanks.

1. 9 = 3 x 3 = 3−2. 16 = _______ x _________ = ________²3. 8 = 2 x 2 x 2 = 2−4. 10² = 10 x 10 = ________5. 10⁴ = __________ x __________ x __________ x ___________ = _________

MATHEMATICS VI

DATE : _______________________________

I. Learning Objective :Give the value of numbers involving exponents. PELC # A. 1. 1.2

II. Learning Content:A. Skill : Evaluating expressions involving exponentsB. Reference : Enjoying Mathematics 6C. Materials : Chart, activity cards, flashcards

III. Learning Experiences :A. Preparatory Activities :

1. Drill:Think and TryCan you find a pair of numbers whose sum is equal to their product?Example : 2 + 2 = 2 x 2 = 4

2. Motivation :What are the different dreaded diseases?

B. Developmental Activities:1. Presentation:

Read the selection below ( written in the chart ). TABLE 1

Day Number Number of Cancer Cells1 22 ( 2 ) ( 2 ) = 43 ( 4 ) ( 2 ) = 84 ( 8 ) ( 2 ) = 165 ( 16 ) ( 2 ) = 326 ( 32 ) ( 2 ) = 64

What do you notice about the cancer cells from day 1 to day 10 ? ( They are doubled each day )

How is this obtained?2. Fixing Skills :

Let us have 3 earning stations. Do the activity in each learning station by group. Once you have finished an activity, go to the next station and do the activity indicated there. Learning Station 11) 7 x 7 x 7 = 4) two to the seventh power

Value: Awareness of dreaded diseases

2) 8 x 8 x 8 x 8 x 8 x 8 = 5) six with the exponent nine3) 6 x 6 x 6 x 6 =

Learning Station 2

Write the factored form and the answer.

1) 6² 4) 34²2) 3⁸ 5) 7⁷3) 10⁴

3. Generalization :How do we give the value of an expression?

C. Application :Based on tables 1 , 2 and 3, how many cancer cells have grown on the fifteenth day?

IV. EvaluationGive the value of the following:

1) 6² 4) 9⁴2) 4⁵ 5) 7⁴3) 2⁷

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V. Assignment :

Complete the table below.

Base Exponent Value

1) 5⁵

2) 3⁴

3) 6⁸

4) 10⁵

5) 9²

MATHEMATICS VI

DATE : _______________________________

I. Learning Objectives :

1.Interpret PEMDAS rule correctly. PELC # A. 1. 1.32. Perform two different operations on whole numbers with or without exponents PELC # A. 1.1.4

II. Learning Content :

Skill : Performing two different operations on whole numbers with or without exponents Reference : Math TextbookMaterials : flash card , Chart

III. Learning ExperiencesA. Preparatory Activities :

1. Drill : Game on numerical expressionsMechanics:1) Form 4 groups.2) The teacher flashes the situation, ( e.g. six multiplied by two , twelve

squared ). Each group decides within 60 seconds on the corresponding numerical expression for the given situation. One member of each group simultaneously goes to the board and writes the numerical expression.

3) The teacher together with the class checks the answer.4) The group with the highest number of correct answers wins.

2. Motivation :Ask the pupils about the occupation of their parents. Let them tell how they help their parents earn a living.

B. Developmental Activities :1. Presentation :

A. Ask the following questions: 1. Who helps mother in the store?2. Who delivers dozens of eggs ?3. How many dozens of eggs are delivered to them?

Value : Being helpful in the family

Jethro was helping his mother in their store when a delivery man delivered 20 dozens of eggs at P 42 a dozen. If the delivery man gave him a change of P 160, how much is his money? Is he right asking for P260, if his money is P 1000? Why?

4. If you were Jethro : Will you help your family earn a living? why? Will you keep the change given by the delivery man? Why?

B. Have each pair of pupils act I out using play money and ask them to answer the following:1.) What are the given data?2.) What are the operations to be used?

C. Lead each pair of pupils to think of an expression related to the problem.

D. Let them evaluate the expression they have formulated?P 160 + 20 x P42P 160 + 840

P 1000 money of JethroE. Require them to analyze which operation they use before arriving at the

exact change.2. Practice Exercise / Fixing Skills

Evaluate the Expression:a. 8 + 4 - 2 = c. 7 x 9 – 3 =b. 5 x 8 – 4 = d. 72 – 3 x 8 =

3. Generalization :How do you evaluate an expression with two different operations with or without exponents?

C. Application :Write an expression about the problems. Then evaluate the expressions.

a.) In a certain eatery, there are 5 glass racks having 24 glasses and 8 left over. The answer says she has 0 glasses in all. Is she right? Why?

IV. Evaluation :Evaluate the following expressions:1. 4 x 3 + 8²2. 84 – 3⁴ x 43. 76 – 8 + 54. 53 + 7 – 205. 3 x 5 – 256. 7 x 8 + 130

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V. Assignment :Evaluate the following expressions:

1) 8 x 15 – 9²2) 44 + 56 – 73) 67 + 3 x 94) 27 – 8 – 4⁷5) 3 x 8 – 6

MATHEMATICS VI

Date : ________________________________

I. Perform two different operations on whole numbers with or without parenthesis or other grouping symbols. PELC # A. 1.1.4. b

II. Learning Content :

Skill : Performing two different operations on whole numbers with or without parenthesis or other grouping symbols.

Reference : Math Textbook

Materials : flash card , Chart

III. Learning ExperiencesA. Preparatory Activities :

1. Drill - Evaluating the ExpressionMaterials : Flash cards

a. 3 x 4 + 1 2. Motivation :

What do you observe when somebody in your home is sick? Does he take a medicine?

B. Developmental Activities1. Presentation

In a certain drugstore, the pharmacist daughter of the owner helps her mother account the medicines to fever. She finds specialized square holders of tablets. She has recorded 4 groups of 10 layers of 10 tablets on each side of the holders and 6 sets of 10 tablets.

2. Discussion :What is the profession of the daughter of the drugstore owner?What does Pharmacist do? Is she right reporting that there are 40 060 tablets? Why?

( 4 x 10 ) + ( 6 x 10 )( 4 x 1000 ) + ( 6 x 10 )4000 + 604060

3. Valuing:If you were the pharmacist, will you also have a systematic arrangement of your medicines? Why?

4. Practice Exercises / Fixing Skills :a.) ( 114 – 4 ) x ( 12 – 4 )² + 3

Value : Being orderly and clean

b.) 16 + 82 / ( 4 + 4 )c.) ( 36 - ) x ( 3 x 4 )² + 7

5. Generalization :How do we evaluate an expression with more than two operations with parenthesis or other grouping symbols? without parenthesis or other grouping symbols?

C. Application :Write an expression about the problem . The answer.

Rolly helps his father arrange the baked cheese cakes placed in a specialized square box. He has arranged 5 groups of 8 cheese cakes on each side and 3 sets of 7 cheese cakes in a tray in a display cabinet.

IV. Evaluation :Evaluate the following expressions:

a.) ( 9 – 2 ) + ( 3² x 21 )b.) ( 18 + 14 ) / ( 6 + 2 )c.) 36 / 22 + 4 x ( 4 – 2 )d.) ( 6² + 2 x 8 ) / 13 - 5 + 2e.) ( 7ᶟ - 3 ) x 6 + 6ᶟ - 3 x 5

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V. Assignment : Perform as indicated:a.) ( 34 – 4 ) x ( 75 / 5 ²)b.) ( 35 – 3 ) x 32 + 9c.) ( 38 – 7 ) + 6 / ( 2 x 3 )

MATHEMATICS VI

Date: ____________________________________

I. LEARNING OBJECTIVES :To answer the test with 75 % accuracy and with honesty.

II. LEARNING CONTENT :A. Summative TestB. Questionnaire, Test Notebook

III. Activities:1. Setting of Standards2. Test Proper3. Checking

IV. Evaluation:A. Directions : Fill in the blank/s with the correct number to complete the

statement.1. In 6ᶟ ___________ is the base and ________ is the exponent.2. 7² is the exponent form of 7 times ________.3. 256 is 16 to the __________ power.4. 3⁵ means 3 multiplied by ___________ 5 times.5. 8ᶟ means ___________ is multiplied by itself _________ times.

B. Give the value of the following exponents.6. 9²7. 6 raised to the 4th power8. 2 ⁹9. 10 is the base, 4 is the exponent10. 10⁸

C. Solve for the answer :11. 7 x 2 + 612. 43 – 4 x 713. 20 – 10 ÷ 514. 5 X 4 + 6 – 7 + 1215. [ (175÷5 )+4 X2² ] ÷ 3

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V. Assignment :

Answer letter A on page 8, Enjoying Mathematics workbook.

VALUE FOCUS: Accuracy , Honesty

MATHEMATICS VI

Date : ________________________________

I. LEARNING OBJECTIVES:Perform more than two operations on whole numbers with or without exponent and parenthesis /grouping symbols. PELC # A. 1.1.5.

II. LEARNING CONCEPT :SKILL : Performing more than two operations on whole numbers with or without exponent and parenthesis /grouping symbols REFERENCE : www.youtube.com ,Math Textbook MATERIALS : laptop ,flash card , Chart

III. Learning ExperiencesA. Preparatory Activities :

1. Review :Place parenthesis in the equation so that each equation will be true statement. Work in pairs.1) 16 – 7 + 8 = 12) 3 x 5 – 4 = 3 3) 18 ÷6 x3=1

2. Motivation :

Do you like to go hunting? Let’s have a word hunting game. Encircle the words diagonally, horizontally, or vertically.

D I F F E R E N C ET S T A D D E N D SW U H L E S S S R MI M R U T I M E S AC R I S D I V I D EE M I N U S E O U AQ U O T I E N T R EA D E X P O N E N T

What words were you able to identify? Give the meaning of each word.D. Developmental Activities

1. PresentationVideo Presentation ( PEMDAS )

2. Discussion :What rules did we follow in simplifying numbers with more than two operations?

Value: Practice honesty in doing one’s work

3. Practice Exercises / Fixing Skills :a.) 32 ÷2 x 2 ²b.) 72 + [ (8+2 ) x6 ] = c.) ( 114 – 4 ) x ( 12 – 4 )² + 3d.) 16 + 82 / ( 4 + 4 )e.) ( 36 - ) x ( 3 x 4 )² + 7

4. Generalization :What rule would you follow in evaluating expressions with more than two operations?

5. Application :Draw a diagram/figure for the problem, write an equation and then solve.The length of a rectangle is 3 metres more than its width. If the perimeter is 54 metres, what are its dimensions?

IV. Evaluation :Evaluate the following expressions:

a. ( 9 – 2 ) + ( 3² x 21 )b. ( 18² + 14 ) ÷ ( 6 + 2 )c. 36 ÷22 + 4 x ( 4 – 2 )d. ( 6² + 2 x 9 ) ÷4 - 5 + 2e. ( 3ᶟ - 3 ) x 6 + 9 ᶟ - 3 x 5

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V. Assignment :

Perform as indicated:a. ( 34 – 4 ) x ( 75 / 5 ²)b. ( 35 – 3 ) x 32 + 9c. ( 38 – 7 ) + 6 / ( 2 x 3 )d. 10⁹ is one followed by how many zeros?e. Find ( x ² )² if x = 3

MATHEMATICS VI

DATE : ______________________________

I. LEARNING OBJECTIVES :Solve two to three – step word problems involving whole numbers following the steps in solving two – step problems. PELC # 2.1

II. LEARNING CONCEPT :SKILL : Applying the order of operations in solving 2 to 3 step word problemsREFERENCE : PELC MATERIALS : Chart , drill board

III. LEARNING EXPERIENCESA. Preparatory Activities

1. DrillPerform the indicated operationsa) ( 12 + 3 ) – 7 = Nb) 4 ( 6 + 8 ) = Nc) 25 ÷5+9=Nd) ( 18 – 4 ) ( 5 + 3 ) = Ne) ( 6 ÷3¿+10 x3¿=N

2. Motivation :What would you like to be when you grow up? Who wants to be a business / businesswoman?

B. Developmental Activities :1. Presentation

Read and study the problem.Problem A

Mr. Gonzales put up a capital coming from the following:Bank – P 250, 000.00Private Loan – P 100, 000.00Personal Money – P 150 , 000.00

The cost of the merchandise he bought was P 365 , 273.00. How much was left from his capital?

2. Fixing Skills

Juan bought a pair of shoes costing P 925.00 and a tie costing P 275.00. He gave the seller P 2,000.00. How much change did he receive?

3. Generalization :What are the steps to follow in solving 2 to 3 step word problems? What is the first thing you need to know? Why?

C. APPLICATION :

Value : Cooperation

Analyze and solve the problem below.A movie earned P 5, 470,551.00 in 27 theatres in Manila and P 2,005,924.00 in

61 movie houses in other parts of the country. Combining the two amounts, what was the average income per theatre from this movie?

IV. EVALUATION :Read the problem below and do what is asked.

Girl scout troop no. 131 collected 150 kg of rice on the first week and 110 kg on the second week. Troop no. 250 collected 98 kg and 100 kg n the first and second weeks, respectively. If the rice they collected will be distributed equally among 20 families of Mahabang Parang and 23 families of Sitio Pinagpala, how many kg should each family receive?

1. Asked2. Hidden Question 13. Hidden Question 24. Step 15. Step 26. Step 37. Number Sentence8. Solution9. Answer with the correct unit10. Check

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V. ASSIGNMENT :

Analyze and solve.

Mr. Cruz had P 4,500.00. He spent P 2,500.00 for food; P 750.00 for transportation, and P 275.00 for other expenses and divided the rest among his brothers. How much was the share of each?

MATHEMATICS VI

DATE : ______________________________

I. LEARNING OBJECTIVES :1. Name a decimal for a given model (region / blocks, money, number line, grid).PELC # A 1.12. Use different models to show a given decimal ( region / blocks, money, number line, grid).PELC # A 1.2

II. LEARNING CONTENT :

SKILL : Naming decimals using models REFERENCES : PELC A.1 , www.youtube.comMATERIALS : pictures , chart, laptop

III. LEARNING EXPERIENCES :

A. Preparatory Activities:

1. DrillShow the objects as presented below.Have the pupils identify the number of

equal parts the whole is divided.

1) 2)

3)

4)

Value : Kindness and humility

2. Review : Naming GameMechanics:

a) Teacher prepares different illustrations to be presented to the class.b) One member of each group will stand at the back.

a. b.

c. d.

3. Motivation:

Problem Opener:

Tina went to her friend’s house. She took a jeepney in going there. But when she was about to give the fare to the jeepney driver, she found out that she had only P 4.95, and the fare is P 5.50.

Valuing : Would the jeepney driver accept her money? Why?

B. Developmental Activities1. Presentation:

2. Discussion :

a. What do you say in naming orally the amount of money?b. When do you say the word “ peso/s “ and “and “ centavos?c. What separates the number for pesos from the centavos?d. Where do you write the number for peso and number for centavo?

3. Generalization :How did the models help you in understanding about decimals? Why?

C. Application :

Kyle and Sean assisted their mother in washing clothes by

fetching water for her. Kyle filled 38 of the drum while Sean was able to fill

48 of the

drum.a) What fraction represented the part of the drum they filled with water?

b) How do you write 38 in decimal?

48 in decimal?

c) Write them in words.

IV. Evaluation : A. Name the following sets of models in decimal form.

1)

2)

3) 4)

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V. Assignment:

Using models discussed, illustrate decimal expressions.

MATHEMATICS VI

Date: ____________________________________

VI. LEARNING OBJECTIVES :To answer the test with 75 % accuracy and with honesty.

VII. LEARNING CONTENT :C. Summative TestD. Questionnaire, Test Notebook

VIII. Activities:4. Setting of Standards5. Test Proper6. Checking

IX. Evaluation:

A. Solve for the answer using PEMDAS.

1. ) 7 x 2 + 6 ( 6² + 3 x 5 )2. ) 43 – 4 x ( 7⁴ - 24 )3.) 20 – ( 10 ÷ 5 – 8 )²4. ) 5 X 4 + 6 – 7 + 125.¿ [ (175÷5 )+4 X 2² ] ÷ 3

( Refer to chart nos. 6 – 25 )

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X. Assignment :

Answer letter B on page 8, Enjoying Mathematics workbook.

VALUE FOCUS: Accuracy , Honesty

MATHEMATICS VI

DATE : _______________________________

I. LEARNING OBJECTIVE :

Rename fractions whose denominators are powers of 10 in decimal form and vice – versa.

II. LEARNING CONTENT :SKILL : Renaming fractions whose denominators are powers of 10 in decimal form and vice – versaREFERENCE: PELC MATERIALS : Chart

III. LEARNING EXPERIENCES :A. Preparatory Activities

1. Mental ComputationIn 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 ? the denominator?

2. Review : Fraction Word Fractions1. four tenths 2. six tenths3. three tenths4. seven tenths5. 3 hundredths

B. Developmental Activities:1. Presentation

Mother brought home a whole rectangular – shaped pizza pie and divided it into 10 equal parts. Marisa ate 2 parts. What fractional part of the pizza pie was eaten by Marisa?

2. Discussion:

What are given? What is asked? How will you write the eaten part of the pie in fraction form?

3. Fixing Skills:

VALUE : ACCURACY

Match Column A with column B by writing the letter only._________1. Eighty – nine thousandths a. 0.890_________2. Eight and nine hundredths b. 8.9_________3. Eighty and nine hundredths c. 8.09_________ 4. Eight hundred ninety thousandths d. 0.089_________5. Eight and nine tenths e. 80. 09

4. Generalization:How do we determine the number of decimal places when changing

fractions to decimals?

C. Application:

Rename these decimals as fractions:a) 0. 38b) 0. 6c) 0. 752d) 0.09e) 0.56

IV. EVALUATION:

Rename each fraction in decimal form.

1) 310 4)

5710000

2) 821000 5)

1351000

3) 12100

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V. ASSIGNMENT :

Express as a fraction with a power of 10 as the denominator.

1) 0. 42) 0. 02753) 0. 134) 0.0855) 0.754

MATHEMATICS VI

DATE : _______________________________

I. LEARNING OBJECTIVE: Identify the place value / value of a digit in a given decimal. PELC # 3.1

II. LEARNING CONTENT:SKILL : Identifying the place value / value of a digit in a given decimalREFERENCE : PELCMATERIALS : Chart , flash cards

III. LEARNING EXPERIENCES :A. Preparatory Activities

1. Drill / ReviewGame – Brothers / Sisters, where are you?

Matching cards

2. Motivation :

When you see 5, what does it mean to you? How about 0.5? Do we read it simply as “ point 5 “ ?

B. Developmental Activities

1. Presentation:Pair Share

1) Put the boxes containing chips with numbers 0 to 9 in front.2) The group that can answer correctly will be the first to go in front.3) He/ She should be blind folded while picking a chip.4) His / her partner do the following:

a) Read the numberb) Write the number in symbols and in wordsc) Identify place value and value

VALUE : Cooperation

Wholenumber tenths hundredths

Tenthousandths

5) The group with the most number of points wins the game.

2. Fixing Skillsa. Write in numerals then identify the place value of each digit.

Ex. One and three thousand nine hundred eighty – four ten thousandths

3. Generalization:How do you read decimal numbers?How do you read the decimal point?

How do you know the value and place value of each digit in a given decimal? C. Application:

Men’s gymnastics is divided into compulsory and optional events. In 1984, the United States team members won the gold medal. Their score in the optional events was 296.0391. In the compulsory events they scored 259. 3127 points.

IV. EVALUATION:

Write the following decimals in words then identify the value and the place value of the underlined digit.

Value Place Value1) 3. 27412) 43. 00183) 135. 304) 656.87435) 300.003

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V. ASSIGNMENT:Follow the directions.

1) Form 5 decimal numbers out digits 1, 2,3,4,5,6,7,8 and 9.2) Write each number in words.3) Identify the value of each digit.