California Mathmetics-G6-Ch6

Unit 3: algebra and number sense: proportions and percents
Chapter 6: ratios and proportions
Focus: solve problems involving direct proportional relationships and percentages involving algebra, geometry, and measurement.
Rate
6-1: ratios
Ratio: A ratio is a comparison of two quantities by division.
Proportional
Equivalent ratios

6-2: Rates
Rate
Unit Rate
When a rate is simplified so that it has a denominator of 1 is called a unit rate.
A rate of change is a ratio that shows a change in one quantity
Respect to a change in another quantity.

6-3: Measurement: Changing customary units unit ratio
equality relationships for customary units:
1 foot (FT) = 12 inches (in .)
1 yard (YD) = 3 feet
1 mile (MI) = 5,280 feet
1 pound (LB) = 16 ounces (OZ)
1 ton (t) = 2,000 pounds
1 cup (c) = 8 fluid ounces (fl oz)
1 pint (PT) = 2 cups
1 quart (QT) = 2 pints
1 gallon (GAL) = 4 quarts
unit ratio;
6-4: Measurement: changing metric units
metric system
meter
liter
gram
kilogram

Prefix meaning in words meaning in numbers
Kilo-thousands 1,000
Centi-hundredths 0.01
Milli-thousandths 0.001

6-5 algebra: Solving proportions
Proportional
Cross Product
A proportion is an equation stating that two ratios or rates are equivalent.

6-6: Problem-Solving Investigation
6-7: Scale Drawings
Scale drawing
Scale Model
Scale
Scale Factor
6-8: fractions, decimals, and percents