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A Detailed Lesson Plan in Mathematics for Grade VI
Prepared by: Pelaosa, Larino Jr. Salazar

I.

Objectives:
At the end of the lesson, the students should be able to:
1. Multiply a mixed form by a fraction.
2. Solve worded problems involving mixed form and fraction.
3. Illustrate and describe the mixed form and fraction.
4. Determine the steps or process in multiplying between mixed
form and fraction.
5. Appreciate fractions.
Value: Cooperation and Patience

II.

Subject Matter:
Multiplying a Mixed Form by a Fraction
Reference:
Mathematics for Everyday Use 6 Textbook (pp. 150)
- Isabel V. Castro, Ed. D.
- Carmelita C. Coronel
- Luz O. Gallardo

III.

Materials:
Board, Chalkboard, and Chart
Procedure:
A. Routinary Activities:
Teacher’s Activity
“Good morning Class!”
“Mr. /Ms._____, please
leads the prayer.”
“Thank You, kindly pick-up
the dirt.”
“Okay, take your sit.”
B. Pre-activities:
1. Review:
“Class, what do we have
discussed last meeting?”
“Mr./Ms._____, what have you
learned with what we have
discussed last meeting?”
2. Drill:

Students’ Activity
“Good morning Sir!”
(Mr./Ms._____, will lead the
prayer.)
(Students will pick-up the dirt.)

(Students will sit properly.)

(Students’ answers may vary.)

(Students’ answers may vary.)
“Class, I have flashcards here
containing fractions. All you
have to do is to write it in
words.”

(The class will get a piece of
paper and perform what the
teacher asked.)

(Students’ expected answer.)
1. ¼
1. one-fourth

2. 1⅔
3. ⅘

2. one and two thirds

3

3. four-fifth

4. 10
3

4. three-tenth

5. 2

5. three-halves

3. Motivation:
“Class, what is the food that
your mother cooked for your
family?”

(Students’ answers may vary.)

“How many kilos of it do your
mother usually bought?”

(Students’ answers may vary.)

“Is this enough for the whole
family?”

C. Engagement Activities:
1. Problem Analysis:
a. (The Teacher will present a
problem.)
3

(Students’ answers may vary.)

(Students will solve the
problem.)

“Mother cooked ½ of 14 kilogram
of beef. How many kilograms of
beef did she cook?”

b. (The Teacher will present an
illustration and will describe the
figure presented.)

(Students will study the figure
and will describe it.)

“Okay class, study the figure
presented in the chart.”

Students’ expected description:
Figure 1

3

 In Figure 1, it shows 14.

3

14
Figure 2

7
4

Figure 3

1
2

1
2

3

of 14
of

7
4

“How many parts are in 1 of
2
7
?”
4

 In Figure 2, it shows
7
.
4

 In figure 3, it shows 1 of
2
3

14 or 1 of
2

7
4

“The darkly shaded parts show
7 of 8 parts, or7.”
8

(Students’ expected answer.)
1
2

1
2
1
2

1
2

x
x

3

x 14
x

7
4
7
4

7
4

=7
?
=7
8

Answer:

“Mother cooked 7 kilogram of
8
beef.”

c. (The Teacher will present a
step for the students easily solve

(Students listen attentively.)
the problem.)
“Rename the mixed form into an
improper fraction.”
“Multiply the numerators.”
“Multiply the denominators.”
d. (The Teacher will present
another way of multiplying a
mixed form by a fraction.)
1
3

x 12 = 3 x 2 = 2
1

1

3

1

D. Generalization:
“How do we multiply
mixed form by a fraction?”

Students’ expected answer:
“To multiply a fraction in mixed
form by a fraction in simplest
form, first change the mixed
form to improper fraction.
Multiply the numerators, then
the denominators. Write the
product of the numerators over
the product of the
denominators. Simplify the
product.”

E. Application:
1. Group Activity:
(The Teacher will divide the class (The students will count-off from
into 2 groups through count-off.)
1 to 2.)
“Okay class, Group 1 will occupy
the 1st row and group 2 will
occupy the 2nd row.”

(Each group will occupy the
seats assigned for them.)

(The Teacher will give the task to
each group.)

(Each Group will perform the
task given to them.)

Group 1:
“Aling Meding can sew a dress in
1
2
42 hours. If it takes her 3 as long
to sew a skirt, how many hours
does it take her to sew a skirt?”
Group 2:
2
“Linda baked a cake in 13 hour.
Preparing the ingredients took up
4
of his time. How long did it take
5
her to prepare the ingredients?”
IV.

Evaluation:
“And now, please get a piece of
paper.”
Find the products. Simplify the
factors whenever possible.

(The students will get a piece of
paper and mind their own work.)

1. 4 x 2 3
3

2

4

1

2. 5 x 15

3. 3 x 4 4
2

3

4. 4 x 1 10
3

8

5. 7 x 2 8
4

5

6. 10 x 1 3
3

V.

2

Assignment:
Complete the multiplication process then
illustrate.
3

Example:

4

x 24 =
3

3
4

x

11
4

33

(Students will get their
notes and copy what’s
on the chart.)

1

= 16 or 216

X

=

x

=

1. 3 X 3 4 = 3 x
2

1

2

?

=
?

2. 5 x 2 2 = ? x
3

1

?

?

2

=
Mathematics

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Mathematics

  • 1. A Detailed Lesson Plan in Mathematics for Grade VI Prepared by: Pelaosa, Larino Jr. Salazar I. Objectives: At the end of the lesson, the students should be able to: 1. Multiply a mixed form by a fraction. 2. Solve worded problems involving mixed form and fraction. 3. Illustrate and describe the mixed form and fraction. 4. Determine the steps or process in multiplying between mixed form and fraction. 5. Appreciate fractions. Value: Cooperation and Patience II. Subject Matter: Multiplying a Mixed Form by a Fraction Reference: Mathematics for Everyday Use 6 Textbook (pp. 150) - Isabel V. Castro, Ed. D. - Carmelita C. Coronel - Luz O. Gallardo III. Materials: Board, Chalkboard, and Chart Procedure: A. Routinary Activities: Teacher’s Activity “Good morning Class!” “Mr. /Ms._____, please leads the prayer.” “Thank You, kindly pick-up the dirt.” “Okay, take your sit.” B. Pre-activities: 1. Review: “Class, what do we have discussed last meeting?” “Mr./Ms._____, what have you learned with what we have discussed last meeting?” 2. Drill: Students’ Activity “Good morning Sir!” (Mr./Ms._____, will lead the prayer.) (Students will pick-up the dirt.) (Students will sit properly.) (Students’ answers may vary.) (Students’ answers may vary.)
  • 2. “Class, I have flashcards here containing fractions. All you have to do is to write it in words.” (The class will get a piece of paper and perform what the teacher asked.) (Students’ expected answer.) 1. ¼ 1. one-fourth 2. 1⅔ 3. ⅘ 2. one and two thirds 3 3. four-fifth 4. 10 3 4. three-tenth 5. 2 5. three-halves 3. Motivation: “Class, what is the food that your mother cooked for your family?” (Students’ answers may vary.) “How many kilos of it do your mother usually bought?” (Students’ answers may vary.) “Is this enough for the whole family?” C. Engagement Activities: 1. Problem Analysis: a. (The Teacher will present a problem.) 3 (Students’ answers may vary.) (Students will solve the problem.) “Mother cooked ½ of 14 kilogram of beef. How many kilograms of beef did she cook?” b. (The Teacher will present an illustration and will describe the figure presented.) (Students will study the figure and will describe it.) “Okay class, study the figure presented in the chart.” Students’ expected description:
  • 3. Figure 1 3  In Figure 1, it shows 14. 3 14 Figure 2 7 4 Figure 3 1 2 1 2 3 of 14 of 7 4 “How many parts are in 1 of 2 7 ?” 4  In Figure 2, it shows 7 . 4  In figure 3, it shows 1 of 2 3 14 or 1 of 2 7 4 “The darkly shaded parts show 7 of 8 parts, or7.” 8 (Students’ expected answer.) 1 2 1 2 1 2 1 2 x x 3 x 14 x 7 4 7 4 7 4 =7 ? =7 8 Answer: “Mother cooked 7 kilogram of 8 beef.” c. (The Teacher will present a step for the students easily solve (Students listen attentively.)
  • 4. the problem.) “Rename the mixed form into an improper fraction.” “Multiply the numerators.” “Multiply the denominators.” d. (The Teacher will present another way of multiplying a mixed form by a fraction.) 1 3 x 12 = 3 x 2 = 2 1 1 3 1 D. Generalization: “How do we multiply mixed form by a fraction?” Students’ expected answer: “To multiply a fraction in mixed form by a fraction in simplest form, first change the mixed form to improper fraction. Multiply the numerators, then the denominators. Write the product of the numerators over the product of the denominators. Simplify the product.” E. Application: 1. Group Activity: (The Teacher will divide the class (The students will count-off from into 2 groups through count-off.) 1 to 2.) “Okay class, Group 1 will occupy the 1st row and group 2 will occupy the 2nd row.” (Each group will occupy the seats assigned for them.) (The Teacher will give the task to each group.) (Each Group will perform the task given to them.) Group 1: “Aling Meding can sew a dress in 1 2 42 hours. If it takes her 3 as long to sew a skirt, how many hours does it take her to sew a skirt?” Group 2: 2 “Linda baked a cake in 13 hour. Preparing the ingredients took up 4 of his time. How long did it take 5 her to prepare the ingredients?” IV. Evaluation: “And now, please get a piece of paper.”
  • 5. Find the products. Simplify the factors whenever possible. (The students will get a piece of paper and mind their own work.) 1. 4 x 2 3 3 2 4 1 2. 5 x 15 3. 3 x 4 4 2 3 4. 4 x 1 10 3 8 5. 7 x 2 8 4 5 6. 10 x 1 3 3 V. 2 Assignment: Complete the multiplication process then illustrate. 3 Example: 4 x 24 = 3 3 4 x 11 4 33 (Students will get their notes and copy what’s on the chart.) 1 = 16 or 216 X = x = 1. 3 X 3 4 = 3 x 2 1 2 ? = ? 2. 5 x 2 2 = ? x 3 1 ? ? 2 =