Download HS.A-REI.D.10

Math Moment –
Automotive Technologies
HS.A-REI.D.10 Understand that the graph
of an equation in two variables is the set
of all its solutions plotted in the coordinate
plane, often forming a curve (which could
be a line).
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Materials Needed
Worksheet
 Worksheet Key
 Note-taker

Automotive Technologies
Understand that the graph of an
equation in two variables is the
set of all its solutions plotted in
the coordinate plane, often
forming a curve
(which could be a line).
Bellwork
Give an example of something that
is either on or off.
Share with your partner.
Be ready to share if called upon.
Vocabulary
ordered pairs
The pair of numbers that identifies
a point on a coordinate plane. The
first number is the x-coordinate
and the second is the ycoordinate. Example (4, -3).
Vocabulary
coordinate plane
The plane determined by a horizontal
number line, called the x-axis, and a
vertical number line, called the y-axis,
intersecting at a point called the origin.
Each point in the coordinate plane can be
specified by an ordered pair of numbers.
Vocabulary
substitute
Replace a variable with a numeric value
and simplify.
Math Check
Do the following ordered pairs make
the equation 3x – y = 2 true?
1.
2.
3.
4.
(0, -2)
(1, -1)
(4, 10)
Find another ordered pair that
makes the equation true.
Coordinate Plane
Plotting Points or Ordered Pairs
Do these points lie on the
graph?
1.
Substitute the ordered pair into the
equation.
2.
Simplify and determine if the statement is
true or false.
If the statement is true the point lies on the
graph
If the statement is false the point does not lies
on the graph
Example 1

Which of the following points are on
the line with equation y  1 x  3 ?
2
(0, -3)
b) (-4, -6)
c) (4, -1)
a)
Example 2
Do the following
points lie on the
line?
a) (3, 2)
b) (0, -3)
c) (-1, -5)
Ohm’s Law and a
Graphical Representation
Ohm’s Law Experiment
Amps
0.06
0.12
Volts
3
6
0.18
9
Auto Example – Ohm’s Law
Exploration

Use the graph on your note-taker to
select the mostly likely solution to the
equation represented by the graph.
(12, 0.24)
b) (0.15, 7.5)
c) (0.24, 24)
a)
You try! – Converting
Temperatures

To convert Celsius to Fahrenheit use the
formula F  95 C  32
Points on the Graph

State the ordered pairs for the
points A, B, C and D on the
Temperature Conversion Graph.
Temperature Conversion
D
C
B
A
Example 3
Do the following points lie
on the line?
a) (1, 2)
b) (-2, 4)
c) (0, 1)
Example 4
Find 3 points that would lie on the
graph of y  1 x  2 .
3
Graph to verify.
Closure:Tweet a Friend
Write a tweet to a
friend or absent
classmate
explaining the
learning using 140
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