Page 210 - NUMINO TG_6A
P. 210
104_G6U13_TG 2014.4.17 6:56 PM ˘ ` 193
13Scale Down, Scale Up Unit
2 . Form a proportion to solve the problem. 2. Have students solve the problem in a
group.
a. Kate and Thomas took a picture last Solving this problem requires recognizing that
summer. Thomas is 7 inches, and Kate is the proportions of height in the photograph
7.5 inches in the picture. If Thomas is are the same as the proportions of Kate’s and
actually 56 inches tall, how tall is Kate? Thomas’s actual height, even though the
image in the photograph is much smaller.
Kate = p 7 = 7.5 3. Have students solve the word problems.
56 p
7 p = 56 7.5 Solving these two problems requires
p = 60
Kate is actually 60 inches tall. understanding both the principles of similarity
and the relationship of area and volume to
linear dimensions.
3 . How many times have the area and volume increased? Refer to .
a. The length of each side of a square has doubled.
The area has increased 4 times.
b. The length of each edge of a cube has doubled.
The volume has increased by 8 times.
13. Scale Down, Scale Up 119
If students have difficulty with the square and cube problems, blocks can be used to demonstrate that if we
double the dimensions of a square that holds one block, it will take four blocks to cover the larger square.
Similarly it will take eight blocks to produce a cube with twice the linear dimensions of one block.
1a. 1b.
6A Unit 13 193
13Scale Down, Scale Up Unit
2 . Form a proportion to solve the problem. 2. Have students solve the problem in a
group.
a. Kate and Thomas took a picture last Solving this problem requires recognizing that
summer. Thomas is 7 inches, and Kate is the proportions of height in the photograph
7.5 inches in the picture. If Thomas is are the same as the proportions of Kate’s and
actually 56 inches tall, how tall is Kate? Thomas’s actual height, even though the
image in the photograph is much smaller.
Kate = p 7 = 7.5 3. Have students solve the word problems.
56 p
7 p = 56 7.5 Solving these two problems requires
p = 60
Kate is actually 60 inches tall. understanding both the principles of similarity
and the relationship of area and volume to
linear dimensions.
3 . How many times have the area and volume increased? Refer to .
a. The length of each side of a square has doubled.
The area has increased 4 times.
b. The length of each edge of a cube has doubled.
The volume has increased by 8 times.
13. Scale Down, Scale Up 119
If students have difficulty with the square and cube problems, blocks can be used to demonstrate that if we
double the dimensions of a square that holds one block, it will take four blocks to cover the larger square.
Similarly it will take eight blocks to produce a cube with twice the linear dimensions of one block.
1a. 1b.
6A Unit 13 193
