99 ­ 3 7 Proportional Relationships­ heavily revised.notebook
Table of Contents
January 30, 2017
3
18 ­ 19 Converting
20 ­ 21 Comparing
22 Proportion Review
23 Measurement Quiz
24 ­ 25 Direct Variation
26 ­ 27 Proportional Relationships ­ Direct Variation
WARM UP - page 26
Convert each measurement to complete the equation.
1)
Conv. Chart
(pull)
2)
For problems 3­5, tell whether each problem shows a direct variation.
3)
4)
5) y = 3x ­ 2
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99 ­ 3 7 Proportional Relationships­ heavily revised.notebook
Topic:
LT/Focus:
EQ:
January 30, 2017
27
• Algebra
• I can recognize direct variation in
tables and graphs.
• How do I check for direct variation in a table
or graph?
Key Term:
proportional relationship
A proportional relationship is a relationship between two variable quantities x and y, where y is a constant multiple (k) of x. This can be expressed in the simple equation, y = kx
In other words, proportional relationship and direct variation mean the same thing.
2
99 ­ 3 7 Proportional Relationships­ heavily revised.notebook
Topic:
LT/Focus:
EQ:
January 30, 2017
27
• Algebra
• I can tell if an equation shows direction
variation.
• How do I check an equation for
proportionality?
proportional relationship- a relationship
between x and y written as:
y = kx
What makes
something a
proportional
relationship?
How do I
check an
equation for
direct
variation?
Steps) we can do this two ways:
a) make a table­ look for 0,0 and a constant relationship (x or ­)
or
b) graph it­ look for a straight line through origin (0, 0)
Example 1: Is this proportional?
y+1=x
Example 2: Is this proportional?
2y = x
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99 ­ 3 7 Proportional Relationships­ heavily revised.notebook
January 30, 2017
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99 ­ 3 7 Proportional Relationships­ heavily revised.notebook
January 30, 2017
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99 ­ 3 7 Proportional Relationships­ heavily revised.notebook
January 30, 2017
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