Rates and Ratios
If I have four striped circles, 2 triangles, and two white circles. How many white circles to all shapes do I have?
2 to 8
Which of the following best describes a unit rate?
a.A ratio that compares two quantities that are measured in different units
b.An equation that states that two ratios are equal
c.A comparison that has a denominator of 1
d.Ratios that represent the same part-to-part relationship or the same part-to-whole relationship
c.A comparison that has a denominator of 1
Lines that join to make a shape
Sides
What makes a graph proportional?
Straight-line through the origin.
How do I find a proportion in a table or graph?
rate= y/x
An 8-pound bag of oranges costs $4.95. Calculate the unit rate. Round to the nearest penny.
$0.62
A comparison of 2 quantities.
A ratio of 2 quantities using different rates.
Ratio
Rate
Space between two lines
Angles
Is this equation proportional?
y = -23865x
Why or why not?
Yes, because there is not a + or - in the equations.
20 qt 4 qt
-------- = ------------
5 gal b
1 gallon
A 14 pack of limes costs $1.12.
What is the unit cost?
$0.08
If two ratios or rates are equal.
Proportional
A drawing with accurate sizes representing a large object
Scale Drawing
Is this equation proportional?
y= 2x+3
Why or why not?
No because of the +3
580 ft x
-------- = ------------
12 mi 6 mi
290 ft
Teachers earn $540 for working 3 ten-hour shifts at school. What is their hourly wage?
$18 per hour
If two ratios or rates are not equal.
Non-Proportional
Same shape, same size
Congruent
Is this table proportional?
x 0 2 5 6 10
y 0 4 10 12 20
If so what is the rate?
Yes. Rate is 2.
10,800 sec 3600 sec
-------- = ------------
3 hrs c
1 hour
The table below shows data about the world's fastest turtles.
Snapping Turtle 4 mi / 2.3 hrs
Sea Turtle 6 mi / 3.1 hrs
Tortoise 3 mi / 1.1 hrs
Which turtle runs the fastest?
Tortoise
Ratios that describe the same relationship.
Equivalent Ratios
Same shape, different size
Similar Figures
Is this table proportional?
x 0 3 4 6 7
y 0 9 12 18 26
If so what is the rate?
No
5280 ft x
-------- = ------------
1 mi 4 mi
21,120 ft