Lesson 1:Solve Problems Involving Scale
Area
the amount of space inside a closed two-dimensional figure
Rate
a ratio that tells the number of units of one quantity for 1 unit of another quantity
Constant of proportionality
the unit rate in a proportional relationship
Dimension
Length in one direction. A figure may have one, two, or three dimensions
Complex Fraction
a fraction in which the numerator is a fraction, the denominator is a fraction, or both the numerator and the denominator are fractions
Proportional Relationship
the relationship between two quantities where one quantity is a constant multiple of the other quantity
ex. y=kx
quantities x and y are in a proportional relationship where the value of k is constant
Draw it out first
A rectangle has a length of 12 in. and a width of 8 in. Lexi make a scale drawing of the rectangle using the a scale factor of 2/3. What are the dimensions of the scale drawing?
The dimensions of the scale drawing are 5 1/3 in by 8 in.
Work: Multiply both dimensions of the original rectangle by 2/3.
numeric part of a rate. For example, the reate 3 miles per hour has a unit rate of 3. For the ratio a:b the unit rate is the quotient of a and b
Equivalent Ratios
two ratios that express the same comparison
For example: 2:4 and 4:8
Unit Fraction
a fraction with a numerator of 1
Andrew is making a scale drawing of a movie screen. The actual dimensions of a movie screen in her local theater are 60 feet wide and 20 feet tall. In her scale drawing, the screen has a width of 9 in. What will the height of the screen on her drawing be?
3 in.
The actual height of the movie screen is 1/3 the actual width, so divide 9 by 3 to find the height of the movie screen on the drawing.