7th Grade Math

662 Measurement and Proportional Reasoning

Chapter Study

Guide and Review

Be sure the following

Key Concepts are noted

in your Foldable.

Key Concepts

Convert Measurements (Lesson 1)

• To convert from larger units to smaller units,
  multiply by the appropriate unit ratio.


• To convert from smaller units to larger units,
  multiply by the reciprocal of the appropriate
  unit ratio.


• When converting metric units, multiply by the
  appropriate power of 10.


• When converting between customary and
  metric units, use the appropriate unit ratio.
  Similar Solids (Lesson 2)


• Similar solids have the same shape and their
  corresponding linear measures are proportional.

4 in. 8 in.

8 in.

8 in.

4 in.

4 in.

• The areas of similar solids are related by the
  square of the scale factor. The volumes of similar
  solids are related by the cube of the scale factor.

Key Vocabulary

derived unit

dimensional analysis

gram

kilogram

liter

meter

metric system

similar solids

unit ratio

Vocabulary Check

Choose the term from the list above that best

matches each phrase.

1. the process of including units of
   measurement as factors when you
   compute


2. the base unit of capacity


3. a decimal system of measures


4. the base unit of length in the metric
   system


5. measures mass, which is the amount of
   matter in an object


6. these have the same shape and their
   corresponding linear measures are
   proportional


7. the base unit of mass


8. one in which the denominator is 1 unit

measurementsConvert

Convert between systems

Convert rates

Convert area and volume

Similar solids

K

662_666_C11_SGR_895130.indd 662 12/30/09 4:43 PM