98 ◆ Reasoning About Problems
Another Example
Mr. Michael is a carpenter. He has several big pieces of wood that he bought by
the yard. He now wants to cut it into bookshelves. Each shelf is 1 foot long. He
has 1 piece that is 1 yard. He has 3 pieces that are 2 yards. He has 5 pieces that
are 5 yards. How many shelves can he cut altogether?
Figure 6.16 Table Problem
Day Operation Money
1 2 × 1 + 10 $12
2 2 × 2 + 10 $14
3 3 × 2 + 10?
4 $18
5 5 $20
Figure 6.17 Table Problem
Yards of Wood # of Shelves
1 3
2
3
The How Many Animals and Legs Problems?
These are common problems. There are many different types of these
problems with either two or three or sometimes more things to think about
(see Figures 6.18, 6.19 and 6.20). They develop logical thinking and rea-
soning. They are marvelous problems that can be ramped up as under-
standing is built.
Figure 6.18 Table Problem
Version 1
Dogs Legs
14
28
312
?1 6