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 NeededWorksheetWorksheet KeyNote-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 y-coordinate. 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. (0, -2)2. (1, -1)3. (4, 10)

4. 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 1Which of the following points are on

the line with equation ? a) (0, -3)b) (-4, -6)c) (4, -1)

y=12

x−3

Example 2Do 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 Volts

0.06 3

0.12 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.

a) (12, 0.24)b) (0.15, 7.5)c) (0.24, 24)

You try! – Converting TemperaturesTo convert Celsius to Fahrenheit

use the formula F=95

C+ 32

Points on the GraphState the ordered pairs for the

points A, B, C and D on the Temperature Conversion Graph.

Temperature Conversion

A

B

C

D

Example 3Do the following points lie on the line?

a) (1, 2)b) (-2, 4)c) (0, 1)

Example 4Find 3 points that would lie on the graph

of .

Graph to verify.

y=13

x+2

Closure: Tweet a Friend

PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

Write a tweet to a friend or absent

classmate explaining the

learning using 140 characters or less