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An INSTRUCTIONAL MATERIAL IN GRADE VI MATHEMATICS
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Prepared by:
RYAN R. VILORIA Master Teacher I LA TORRE ELEMENTARY SCHOOL Bayombong II District
Title Page
i
Table of Contents
ii
Competency
1
I
GUIDE CARD
2
II
ACTIVITY CARDS Activity Card 1A to 1F Activity Card 2
3-8 9
III
ASSESSMENT CARDS
10
IV
ENRICHMENT CARD
11
V
ANSWER KEY
VI
REFERENCE
15
VII
CREDITS
16
12 - 14
Skill to be Mastered:
COMPARING FRACTIONS
SUB-TASKS
Compare fractions Show speed and accuracy in comparing fractions
This material was designed especially to help you develop your skill in Comparing Fractions. As you work on the exercises, you will be able to learn how to compare fractions, thereby improving your speed and accuracy in dealing with this topic. Hi! I’m MATH-o. I will guide you on MATH-o is here to help you.
this journey. Every time you see me, I have information to tell you which may help you learn from this learning material. All you need to do is relax, take a pen and enjoy learning. Good luck!
Your
Task…
1. Read, understand and answer the Activity Cards. Check your answer and record your score. If your scores are not satisfying, patiently repeat the task. 2. Complete the Assessment Cards to note if you have learned something for the activities taken. 3. Go further through answering the Enrichment Card.
HAPPY LEARNING
There are many ways to compare fractions. One way is illustrating the fractions before comparing. Consider the problem below:
Andy has ½ pizza while Rene has 3/5 pizza. Who has the bigger size of pizza? Seemingly 3/5 is bigger than ½. Therefore, Rene has the bigger size of pizza. We can simply write: 1 2
3 5
We use the following symbols to compare: Greater than (>) Lesser than (<) Equal (=)
Try These: Illustrate the fractions then compare. compare. 3 7 3 4
Use
,
or
GOT IT ALL CORRECT? YES - Proceed to the next activity.
6 12
NO - Go over and try the next activity.
2 3
out of 5 3 4 1 4
I got
5 8
to
5 10
5 10 2 4
We can also compare fractions by changing the dissimilar fractions to similar before comparing the fractions.
Answer this problem: Mang Canor has ½ hectare of rice filed while Mang Isko has 2/3 hectare. Who has the biggest size of rice field?
½ and 2/3 are dissimilar fractions. We can change them to similar using 6 as their
LCD.
1 2
=
Therefore,
3 6
1 2 is lesser than
2 3
.
2 3
=
4 6
Or
1 2
2 3
.
Mang Isko then has bigger size of rice field than Mang Canor. Try These: Compare the fractions in the window pane. Write the dissimilar fractions to similar fractions before comparing. Use the LCD on the wheel.
1 4
2 3
1 3
No
12 24
2 9
Proceed to the next ActivityGo over and try the next activity
Yes
The first was done for you.
3 12
We can also compare fractions by their resulting cross product.
Study the examples:
8
3 2 3
9
=
1 4
9
1 3
5 3 9
8 1 2
I got _____ out of 4 Try These: Write the cross product then compare the fractions.
4
3 4
2
2 5 3 12
3
1 6
2 8
3 10
5
1 4
I got
<
out of 5
1 3 7
4 5
Estimating the fraction may help you compare the two fractions. Fraction is either close to zero (0), close to one half (½) or close to one (1).
0
½
1 10
2 10
3 10
1
4 10
6 10
7 10
8 10
9 10
Close or approximately equal
Close or approximately equal
Close or approximately equal
( ≈ ) to 0
( ≈ ) to ½
( ≈ )1
1 10
2 10
and
4 ∧¿ 10
6 10
8 10
and
9 10
Estimate the fraction before you proceed with comparing. 13 15
≈
13 ≈ ___ 25
5 ≈ 12
___
3 ≈ 18
___
___
41 ≈ 50
___
You may now compare the fractions by means of estimation.
1
2
3
4
5
12 25
10 15
4 5
2 3
12 15
8 9
4 20
26 50
1 3
4 10
out of 5 I got
No
Proceed to the next ActivityGo over and try the next activity
Yes
We can also change the fraction to decimal before comparing the fractions.
Study the example: 1 2
is equal to 0.50 while
than ½.
3 4
is equal to 0.75 therefore ¾ is greater
Try These: Change the fractions to decimal before
comparing.
7 8
a.
5 6
5 15
b.
9 10
15 30
100 300
e.
2 6
0.67
c.
2 5
25 50
d.
I got
0.33 5 9
2 3
Exam ple
out of 5
1 3
Try to consider the whole numbers.
If we will compare 2 ½ than 1 ¾, 1
definitely 2 ½ is bigger than 1 ¾.
5½ 15 ¼
2½
1¾
Compare the fractions on the train.
3
5 6
3
8
3 7
2
4 10
11
5 20 5
4
1 6
out of 5 I got
2
4
Apply any of the different ways how to compare the fractions you just learned, Let’s see how fast you could answer this card.
Time Started: ____________________
Time Finished: ________________
1 2
1 2
5 6
2 9
1 4
3 4
6 7
10 45
2
5 15
11 12
7 14
9 9
3 25
1 3
2 15
1 2
1
1
1 7
12 15
25 50
15 21
2
1 7
13 15
12 24
10 15
5 7 1 7
31 35
2
1 7
2
out of 15 I got Let’s see if you have learned something from this material.
Test A. Compare the following fraction. Use <, > or = and place them inside the box. 1
2
3
4
5
1
1 7
12 15
25 50
15 21
2
2
1 7
13 15
12 24
10 15
1 7
2
Test B. Read the following statement carefully then write True if the statement is true and False if it is false. _______ 1) 3/8 is greater than 6/7.
out of 10
_______ 2)15/30 is equal to 13/26.
I got
_______ 3) ½ is smaller than 2/5. _______ 4) Mary has 2/5 size of pizza while Jane has 1/8 size of pizza. Comparing the size of pizza, Mary has bigger size than Jane. _______ 5) Edgar consumes 2/5 of an hour in watching TV while Rene consumes 5/10 of an hour. In this case, Edgar spend time watching TV more than Rene.
Enrichment Card BATTLE OF FRACTIONS. Compare the fractions as fast as you could. Write your answer inside the circle
2 16
7 10
12 50
Got it all correct? Check your answer on page 14.
3
3 25
I got
1 8
out of 6.
3 4
This ends your journey with me. Congratulations for a job well done. Be sure to record your scores in the different activities so that I may know if you learned something from this material.
You did a great job!
Answer Activity 1B Key Activity 1A 3 7 3 4
<
6 12 2 3
< 5 8
3 4
< 1 4
<
5 10
5 10
=
2 4
Activity 1D 12 25
10 15
4 5
2 3
12 15
8 9
4 20
26 50
1 3
4 10
Activity 1E 1 3
Exam ple
0.67
0.33
5 9
2 3
Answer Key
c.
>
0.55
Activity 1F
7 8
0.875
2 5
25 50
0.4
0.5
a.
> d.
=
5 6
5 15
0.83
0.3
15 30
100 300
0.5
0.33
b.
<
9 10 0.9
e.
=
2 6 0.33
Activity Card 2 1 2
>
1 2
1 4 5 15
3 4
=
11 12
1 3
1
1 7 1 7
>
12 15
<
2 9
6 7 7 14
2 15
< 2
<
5 6
=
13 15
25 50
9 9
1 7
3 25
=
15 21
< 2
1
= 12 24
= 10 45
1 2
<
5 7
< 31 35
<
2
10 15
1 7
> 2
Answer Key Assessment Card Test A
1
2
3
4
5 2
1
1 7 <
12 15 <
25 50 =
15 21 <
2
1 7
13 15
12 24
10 15
Test B __FALSE__ 1) 3/8 is greater than 6/7. __TRUE___ 2)15/30 is equal to 13/26. __FALSE__ 3) ½ is smaller than 2/5. __TRUE___ 4) Mary has 2/5 size of pizza while Jane has 1/8 size of pizza.
1 7>
2
Comparing the size of pizza they have, Mary has the bigger size than Jane. __FALSE__ 5) Edgar consumes 2/5 of an hour in watching TV while Rene consumes 5/10 of an hour. In this case, Edgar spend time watching TV more than Rene.
Enrichment Card 3 4
1 8 >
2 16 =
7 10 <
12 50 >
3
3 25
<
REFERENC E BOOKS
Read Me
Lesson Guide in Elementary Mathematics 6
Mathematics for Everyday Use 6
My Record of Progress Name: __________________________________________ Grade: ________________ School: _________________________________________ Date: _________________
Activities
Perfect Score
Activity 1A Activity 1B Activity 1C Activity 1D Activity 1E Activity 1F Activity 2 Assessment Card Enrichment Card
5 4 5 5 5 5 15 10
Total Score
60
My Score
6
Remarks Over – All Performance
Score
Remarks
60 Excellent 50 – 59 Very Good 40 – 49 Good 30 – 39 Fair Less than Needs Improvement 30 Teacher: __________________________________________________ Department of Education Region 02 Division of Nueva Vizcaya BAYOMBONG II DISTRICT LA TORRE ELEMENTARY SCHOOL
November 5, 2014 Dr. MONA LISA A. CABATO District Supervisor BAYOMBONG II DISTRICT Madam: Greetings of Peace and Good Health! This is to request your expertise to validate my SIM entitled “Higher or Lower” to be used as an Strategic Intervention Material (SIM) to the Grade VI Math Class of LA Torre Elementary School. Your suggestions/comments will contribute to the improvement and quality of the material to achieve higher learning outcomes. Hereto attached is the SIM and the checklist. Very truly yours, RYAN R. VILORIA Subject Teacher
Approved:
MONA LISA A. CABATO, Ed. D. District Supervisor
or HIGHER
lower
A STRATEGIC INTERVENTION MATERIAL (SIM) IN GRADE VI MATHEMATICS
THE EFFECT OF TEACHER-MADE STRATEGIC INTERVENTION MATERIAL (SIM) ENTITLED “HIGHER OR LOWER” ON THE ACADEMIC PERFORMANCE OF THE GRADE III PUPILS OF LA TORRE ELEMENTARY SCHOOL IN MATHEMATICS
Assessment POST-TEST RYAN R. VILORIA Master Teacher I
Bayombong II District NOVEMBER 2014
Appendix A. Letter Request to Validate the SIM Department of Education Region 02 Division of Nueva Vizcaya BAYOMBONG II DISTRICT LA TORRE ELEMENTARY SCHOOL
_____________________ Date ______________________________________ ______________________________________ ______________________________________ Sir/Madam: Greetings of Peace and Good Health! This is to request your expertise to validate my SIM entitled “Higher or Lower” to be used as an Strategic Intervention Material (SIM) to the Grade VI Math Class of LA Torre Elementary School. Your suggestions/comments will contribute to the improvement and quality of the material to achieve higher learning outcomes. Hereto attached are the SIM and the checklist. Thank you and more power! Very truly yours, RYAN R. VILORIA Subject Teacher Appendix C. Profile of the Validator
Name: __________________________________________ Age: _______________
Birthday: __________________________ Position: _____________________________________ Years of Service: ______________________________ Number: _________________________________
General Comments/Suggestions: ______________________________________________________________________________________________ ______________________________________________________________________________________________ ______________________________________________________________________________________________ ______________________________________________________________________________________________ ______________________________________________________________________________________________ ______________________________________________________________________________________________ ______________________________________________________________________________________________ ______________________________________________________________________________________________ ______________________________________________________________________________________________ ______________________________________________________________________________________________ ______________________________________________________________________________________________ _____________________________