The document discusses the "Draw a Picture/Diagram" problem solving strategy. It involves creating a visual representation of the problem to help understand it better. Drawing a picture is appropriate when a physical situation, geometric figures, or measurements are involved. A diagram is useful when relationships among quantities need to be represented. Examples show how drawing pictures and diagrams can reveal patterns to solve problems involving blocks in staircases, trees planted along a driveway, cutting a log into equal pieces, and spacing skittles along a path. Exercises at the end provide additional practice problems.

2. What is the meaning of
Draw a Picture/Diagram
strategy?

3. Is a problem solving strategy
which gives a visual
representation of what the
problem is
It really helps solidity
concrete thinking

4. When does a draw a
picture appropriate?

5. The Draw a
Picture strategy
may be
appropriate when:
A physical situation is
involved.
Geometric figure or
measurements are involved.
You want to gain a better
understanding of the
problem.
A visual representation of
the problem possible.

6. When does draw a
diagram appropriate?

7. The Draw a
Diagram
The problem involves
sets, ratios or
probabilities.
An actual picture can
be drawn, but a diagram
is more efficient.
Relationship among
quantities is represented.

8. Examples:
Sam wants to make
stairway using blocks.
How many blocks
would he need to
make 5 step stairway?

10. 1 step----- 1 (block)
2 step-----(1+2) blocks
3 step----- (1+2+3) blocks
Can you spot the
pattern?

11. He would need 15 blocks
for a 5-step stairway.

12. Using the pattern a
while ago, can you find
out how many blocks
would be needed for a
12-step stairway?

13. Mr. Smith wanted
trees along his driveway.
He planted the first tree
10ft from his gate. Then he
plant a tree every 10 ft
after that until he reached
60 ft. how many trees did
he plant?

14. 10 ft

15. He planted
6 trees.

16. Starting at 10 ft from
the gate and spacing of
10 ft in between 2 trees.
For distance of:
60 ft------6 trees
70 ft------7 trees
80 ft------?
90ft------?

17. A carpenter wants to
divide a log into 5 equal
pieces. How many cuts
does he need to make?

18. CUT
2 PIECES 1 CUT
3 PIECES 2 CUT
4 PIECES 3 CUT

19. Did you saw the pattern in the number
of the pieces and the number of cuts a
while ago?
2 equal pieces------1 cut
3 equal pieces------2 cut
4 equal pieces------3 cut
5 equal pieces------?
9 equal pieces------?

20. He needs to
make a 4 cuts
to get 5
pieces

21. James was placing
skittles along a path. He
put the first skittle at the
beginning of the path.
Then he put a skittle
every 50 m after that,
until he reached 450 m.
how many skittles did he
use altogether?

22. START 100m 200m 300m 400m
50 m 150m 150m 350m 450m

23. He used
10
skittles.

24. PATTERN
a.) with a spacing of 50m between skittles
b.) 1st skittle at starting point
Distance
450m-----number of skittles -> 9+1 =10 skittles
500m----------------------- -> 10+1 = 11 skittles
550m----------------------- -> _+_= ?
600m----------------------- -> _+_=?

25. EXERCISES:
1.) Mr. Brown put a square fence around his vegetable
garden to keep the deer from eating his corn. Each side
was 10 m. If the posts were placed 2 m apart, how many
posts did he use?
2.) If Mr. Tanabe started on the third rung, how many
rungs would there be on the ladder?
3.) If Marie had three different skirts and four different
sweaters, how many different outfits could she wear?
4.) Five kissing’ cousins meet at the family reunion.
Each cousin kisses each of the other cousins just once.
How many kisses were given in all?
5.) Steve, Michael, Sandra, Lesley are standing in line to
buy tickets for a movie. In how many ways can they
stand in line to buy their tickets?

26. PREPARED BY:
JENIFER D. MANGUERA