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Solving routine and non-routine
involving addition and subtraction of
fractions
Drill
4
5
3
5
+
Drill
5
8
3
8
-
v
Drill
2
3
4
5
+
Drill
6
8
-5_
10
Drill
3
7 +
2
5
How do fractions
work in everyday life?
Cite some examples.
Presentation
From a piece of yarn 4/5 m long,
Manny cut a piece
¼ m long and another piece ½ m
long and gave it to
his friends. What part of the yarn
was left with him?
•What are given?
•What is being asked?
•What operation will you used?
•What is the number
sentence?
Group Activity
The Boy Scouts are going on a
20-km hike. After hiking 6 1/3 km
on the first hour and 5 ½ km on
the second hour, how far do they
still have to go?
Performing the Activities
GROUP 1
Solve the problem through concrete
models.
GROUP 2
Solve the problem through bar model.
GROUP 3
Solve the problem through fraction strips.
GROUP 4
Solve the problem through role playing
GROUP 5
Solve the problem through diagram
Processing the Activities
•How did you find the activity?
•How did you get the answer?
•Where you able to got the
answer correctly?
•Did you work cooperatively
with your team during the
activity?
Explore and Discover
2/9 of the
moviegoers are
adults. If there are 95
more children than
adults, how many
children are there in
the cinema?
How will you solve for the answer to the
problem?
Using box model.
2 boxes represents two adults
which is 2/9 of the total number of
moviegoers.
7 boxes represent
children which is 7/9 of the total
number of moviegoers.
5 boxes represent the
excess number of children
Since there are 95 more children, then to find the
Number of person in each box is :
95 ÷5 = 19
Answer:
Thus, the total number of children is 19 x 7boxes is
Equal to 133.
KEEP MOVING !
Read, analyze and solve the problem.
¼ of Dingdong pack is corn and the rest is
Nuts. 3/5 of the nuts are peanuts and the rest
are cashew nuts. What fraction of the whole
pack are cashew nuts?
Generalization
How do we solve word problems
involving fractions and mixed
number? What are the steps?
What are the different strategies?
1. What is the difference when 6
5/8 is subtracted from 21 7/12?
2. The rice dispenser can hold 49
¾ kg of rice when full. Rita put 42
½ kg of rice in the dispenser.
How many more kilogram of rice
are needed to fill the rice
dispenser?
ENRICHMENT
3. Freddie sold 5 ½ kg of
avocados while Rose sold 3
kilograms. How many
kilograms of avocadoes did
the two sell together?
4. Tyler and Kate started a
lemonade stand to raise
money. They donated 1/5 of
their profits to their school
library, 1/10 to the animal
shelter and 8/20 to the food
bank. They saved the rest to
buy materials for their next
project. What fraction of their
5. A fire truck has a long ladder
that is made of 3 sections. Each
sections is 43/4 meters long. How
long is the ladder when all 3
sections are extended to make
one long ladder?
6. John and Liza were playing a
video game and trying to get all
of the treasure. John got 12 1/3
of the treasure. Elizabeth got 6
5/9 of the treasure. How many
treasure did the two get all
together?

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math 6. lesson 3.pptx

  • 1. Solving routine and non-routine involving addition and subtraction of fractions
  • 7. How do fractions work in everyday life? Cite some examples.
  • 8. Presentation From a piece of yarn 4/5 m long, Manny cut a piece ¼ m long and another piece ½ m long and gave it to his friends. What part of the yarn was left with him?
  • 9. •What are given? •What is being asked? •What operation will you used? •What is the number sentence?
  • 10. Group Activity The Boy Scouts are going on a 20-km hike. After hiking 6 1/3 km on the first hour and 5 ½ km on the second hour, how far do they still have to go?
  • 12. GROUP 1 Solve the problem through concrete models.
  • 13. GROUP 2 Solve the problem through bar model.
  • 14. GROUP 3 Solve the problem through fraction strips.
  • 15. GROUP 4 Solve the problem through role playing
  • 16. GROUP 5 Solve the problem through diagram
  • 17. Processing the Activities •How did you find the activity? •How did you get the answer? •Where you able to got the answer correctly? •Did you work cooperatively with your team during the activity?
  • 18. Explore and Discover 2/9 of the moviegoers are adults. If there are 95 more children than adults, how many children are there in the cinema?
  • 19. How will you solve for the answer to the problem? Using box model. 2 boxes represents two adults which is 2/9 of the total number of moviegoers. 7 boxes represent children which is 7/9 of the total number of moviegoers. 5 boxes represent the excess number of children
  • 20. Since there are 95 more children, then to find the Number of person in each box is : 95 ÷5 = 19 Answer: Thus, the total number of children is 19 x 7boxes is Equal to 133.
  • 21. KEEP MOVING ! Read, analyze and solve the problem. ¼ of Dingdong pack is corn and the rest is Nuts. 3/5 of the nuts are peanuts and the rest are cashew nuts. What fraction of the whole pack are cashew nuts?
  • 22. Generalization How do we solve word problems involving fractions and mixed number? What are the steps? What are the different strategies?
  • 23. 1. What is the difference when 6 5/8 is subtracted from 21 7/12? 2. The rice dispenser can hold 49 ¾ kg of rice when full. Rita put 42 ½ kg of rice in the dispenser. How many more kilogram of rice are needed to fill the rice dispenser?
  • 24. ENRICHMENT 3. Freddie sold 5 ½ kg of avocados while Rose sold 3 kilograms. How many kilograms of avocadoes did the two sell together? 4. Tyler and Kate started a lemonade stand to raise money. They donated 1/5 of their profits to their school library, 1/10 to the animal shelter and 8/20 to the food bank. They saved the rest to buy materials for their next project. What fraction of their
  • 25. 5. A fire truck has a long ladder that is made of 3 sections. Each sections is 43/4 meters long. How long is the ladder when all 3 sections are extended to make one long ladder? 6. John and Liza were playing a video game and trying to get all of the treasure. John got 12 1/3 of the treasure. Elizabeth got 6 5/9 of the treasure. How many treasure did the two get all together?