Develop an understanding of
And apply proportionality
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A comparison of 2 quantities by division.
◦ a:b, a/b, a to b
4:3, 4/3, 4 to 3
◦ Ratios can express part to part, part to whole, or
whole to part relationships
◦ Often written as fractions in simplest form
◦ Ratios that have the same value are called
equivalent ratios
Write the ratio as a fraction in simplest form
1) 6 boys to 4 girls 2) 8 students to 20 desks
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More examples and assignment:
Workbook pages 83-84
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A ratio that compares 2 quantities with
different kinds of units.
When a rate is simplified so that the
denominator is 1, it is called a Unit Rate.
◦ Useful to compare
Find each unit rate
1) $300 for 6 hours 2) 220 miles on 8 gallons
3) Which is the better buy
12 oz. for $3.28 or 16 oz. for $4.04
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More examples and assignment
Workbook pages 85-86
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A rate that describes how one quantity
changes in relation to another.
◦ Usually expressed as a unit rate
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Example pg.293

The rate of change between any two points
on a line in a coordinate plane.
 Tells how steep the line is, it is constant
slope = change in y
change in x
vertical change (up, down)
horizontal change (left, right)
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Examples page 296
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Assignment Workbook pages 87-88
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To convert from one customary unit to
another:
◦ Multiply from a larger unit to a smaller unit
◦ Divide from a smaller unit to a larger unit
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You could also multiply by using a conversion
rate.
For example 6 feet x 12 inches = 72 in.
1
1 foot
COVERSIONS
• Length
• Capacity
1 foot (ft) = 12 inches (in.)
1 cup (c) =8 fluid ounces (fl oz)
1 yard (yd) = 3 ft
1 pint (pt) = 2 c
= 36 in.
1 mile (mi) = 5280 ft
= 1760 yd
= 16 fl oz
1 quart (qt) = 2 pt
=4c
= 32 fl oz
 Weight
1 gallon (gal) = 4 qt
1 pound (lb) = 16 ounces (oz)
= 8 pt
1 ton ( T ) = 2,000 lb
= 16 c
= 32,000 oz
= 128 fl oz
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Assignment: text pg. 301-302 #10-28
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A decimal system of measurement
Bases: Meter, Gram, Liter
Common prefixes: kilo-, centi-, milliEach prefix stands for a place value
Kilo- hecto- deka- BASE deci- centi- milli1000 100
10
1
0.1
0.01 0.001
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Move left to right multiply by 10x x= the number of places
Move right to left divide by 10x
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OR move the decimal the number of places in that direction.
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Use the chart on page 306
If you are changing from customary to metric,
multiply by the number given.
If you are changing from metric to customary,
divide by the number given.
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Assignment: text pg.307-308 #10-27