1. SOLVING MATH PROBLEMS WITH DRAWING MODELS
SINGAPORE MATH K-2
SOLVING MATH PROBLEMS
WITH DRAWING MODELS

2. SINGAPORE MATH
CONCRETE *PICTORAL ABSTRACT

3. DID YOU KNOW?
80% OF ALL MATH WORD PROBLEMS CAN BE SOLVED USING THE THREE SINGAPORE DRAWING MODELS!!!
SINGAPORE HAS SOME OF THE HIGHEST MATH SCORES IN THE WORLD.
EVERY MATH LESSON STARTS WITH THE CONCRETE (USING EVERYDAY OBJECTS)
STUDENTS ARE NOT EXPOSED TO ABSTRACT MATH UNTIL THEY CAN SHOW PROFICIENCY IN PICTORAL MATH.

4. 1. Sean has 3 clown fish, 4 angel fish, and 2 guppies
1. Sean has 3 clown fish, 4 angel fish, and 2 guppies. How many fish does Sean have altogether in his fish tank? (discrete)

5. 2. It snowed for 3 days in a row in December
2. It snowed for 3 days in a row in December. It snowed 6 inches on Tuesday, 8 inches on Wednesday, and 6 inches on Thursday. How many total inches of snow fell during the 3 days? (discrete)

6. 3. Wall-e found 4 more plants than Eva-a
3. Wall-e found 4 more plants than Eva-a. If Eve-a found 10 plants, how many plants did they find altogether? (continuous)

7. 4. There were 3 second-grade classrooms at Dublin Elementary School
4. There were 3 second-grade classrooms at Dublin Elementary School. There were 21 students in the first class, 23 in the second class, and 22 in the third class. How many second-grade students were at Dublin Elementary School? (continuous)

8. 5. Patrick and Sponge Bob went jelly fishing. They captured 12
5.Patrick and Sponge Bob went jelly fishing. They captured 12. They put 7 back in the ocean and kept the rest as pets. How many jellyfish did they have as pets? (part-part-whole)

9. 6. There were 45 cookies for the party
6. There were 45 cookies for the party. If there were 2 dozen macaroons and the rest were chocolate chips, how many chocolate chip cookies were there? (part-part-whole)

10. SINGAPORE MATH 6-8
SOLVING MATH WORD PROBLEMS WITH DRAWING MODELS DID YOU KNOW? 80% OF ALL MATH WORD PROBLEMS CAN BE SOLVED WITH JUST THREE DRAWING MODELS CONCRETE PICTORAL ABSTRACT

11. 1. Three-fifths of Ms. Lisa’s class like Mountain Dew
1. Three-fifths of Ms. Lisa’s class like Mountain Dew. If 12 students do not like Mountain Dew, how many students does Ms. Lisa have in her entire class? (part-part-whole)

12. 2. Capt. Kirk scanned 2/3 of the planets in the solar system to check for life forms. If there were 345 planets in the solar system, how many of those planets were scanned by Capt. Kirk for life forms? (part-part-whole)

13. 3. Mrs. Piggle Wiggle made 5 batches of cookies
3. Mrs. Piggle Wiggle made 5 batches of cookies. Each batch made 25 cookies. If she gave 2/5 of the cookies to her friends and froze 3/5 of the remaining cookies, how many cookies did she have left to enjoy? (part-part-whole)

14. 4. In Monsters Inc. the ratio of hairy monsters to two headed monsters to alien monsters was 2:1:3. If there were 114 alien monsters, how many hairy monsters were there? (continuous)

15. 5. The total of 3 numbers A, B, and C is 90. The ratio of A to B is 3:2. The ration of B to C is 2:5. What are the three numbers? (continuous)

16. 6. An auditorium seats 1,500 students
6. An auditorium seats 1,500 students. Of all those seats, 70% are in the orchestra section and the rest are in the balcony. How many more seats are in the orchestra section than in the balcony? (part-part-whole)

17. 7. There were 250 people at an outdoor concert
7. There were 250 people at an outdoor concert. Of these, 40% were children and the rest were adults. How many adults were at the concert? (part-part-whole)

18. 8. A car can travel 300 miles on 12 gallons of gas
8. A car can travel 300 miles on 12 gallons of gas. How far can the car travel on 15 gallons of gas? (part-part-whole)

19. 9. Juan and Nigel have $25 between them
9. Juan and Nigel have $25 between them. If Juan has $7 more than Nigel, how much does Nigel have? (continuous)

20. 10. We know that ¾ of a sum of money is $72. What is the sum of money
10. We know that ¾ of a sum of money is $72. What is the sum of money? (part-part-whole)

21. 11. Deborah went on a hike to Lily Lake for 3 hours
11. Deborah went on a hike to Lily Lake for 3 hours. 35% of the time she spent looking at wildflowers, 15% of the time chatting with the animals, 25% of the time watching birds, and the rest of the time swimming in the lake. How many minutes did she spend at the lake? (part-part-whole)

22. SINGAPORE MATH 3-5
SOLVING MATH WORD PROBLEMS WITH DRAWING MODELS DID YOU KNOW? 80% OF ALL MATH WORD PROBLEMS CAN BE SOLVED WITH JUST THREE DRAWING MODELS CONCRETE PICTORAL ABSTRACT

23. 1. Wall-e found 4 more plants than Eve-a
1. Wall-e found 4 more plants than Eve-a. If Eve-a found 10 plants, how many plants did they find altogether? (continuous)

24. 2. Belle has 46 mystery books in her collection
2. Belle has 46 mystery books in her collection. She has 14 more mystery books than the Beast. How many mystery books do the Beast and Belle have altogether? (continuous)

25. 3. Mickey and Minnie started out with an equal number of dog cookies for Pluto. Mickey gave Pluto 15 while Minnie collected another 25 cookies. In the end, how many more cookies did Minnie have than Mickey? (continuous)

26. 4. The students at a local elementary school collected aluminum cans for a fundraising event. At the end of the first week, they had 8 boxes with 25 cans in each box. How many cans did they collect the first week of the fundraiser? (part-part-whole)

27. 5. Edna made The Incredibles 35 suits
5. Edna made The Incredibles 35 suits. If all five of The Incredibles received an equal amount of special suits, how many did each member receive? (part-part-whole)

28. 6. Mr. Popper bought herring for his 4 penguins
6. Mr. Popper bought herring for his 4 penguins. There were 84 herring in one bucket. If he split the herring up evenly, how many herring did each penguin get for lunch? (part-part-whole)

29. 7. Meredith had 20 Hot Wheels cars
7. Meredith had 20 Hot Wheels cars. She gave ¼ of her cars to her Uncle Mike. How many Hot Wheels cars did she have left? (part-part-whole)

30. 8. Three-fifths of Mr. Allen’s class like blueberry snow cones
8. Three-fifths of Mr. Allen’s class like blueberry snow cones. If 12 students do not like blueberry snow cones, how many students does Mr. Allen have in his entire class? (part-part-whole)

31. 9. There were 500 monsters working for Monsters Inc
9. There were 500 monsters working for Monsters Inc. 40% of them met their scare quota, 30% did not meet their scare quota, and the rest were at a dinner party honoring Sully. How many monsters were at the dinner party honoring Sully? (part-part-whole)

32. 10. Nemo had 4 times as many shells as Dory
10. Nemo had 4 times as many shells as Dory. If they had 60 shells altogether, how many shells did Nemo have? (continuous)