Transcript SINGAPORE MATH K-2 - Fentress County Schools

SOLVING MATH PROBLEMS
WITH DRAWING MODELS
SINGAPORE MATH
CONCRETE
*PICTORAL
ABSTRACT
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.
1. Sean has 3 clown fish, 4 angel fish, and 2 guppies.
How many fish does Sean have altogether in his fish
tank? (discrete)
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)
3. Wall-e found 4 more plants than Eva-a. If Eve-a found
10 plants, how many plants did they find altogether?
(continuous)
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)
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)
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? (partpart-whole)
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
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? (partpart-whole)
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-partwhole)
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? (partpart-whole)
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)
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)
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-partwhole)
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-partwhole)
8. A car can travel 300 miles on 12 gallons of gas. How
far can the car travel on 15 gallons of gas? (part-partwhole)
9. Juan and Nigel have $25 between them. If Juan has $7
more than Nigel, how much does Nigel have?
(continuous)
10. We know that ¾ of a sum of money is $72. What is
the sum of money? (part-part-whole)
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)
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
1. Wall-e found 4 more plants than Eve-a. If Eve-a
found 10 plants, how many plants did they find
altogether? (continuous)
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)
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)
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)
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-partwhole)
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)
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)
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)
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)
10. Nemo had 4 times as many shells as Dory. If they
had 60 shells altogether, how many shells did Nemo
have? (continuous)