Download Section 2.1 Section 2.1 Guided Notebook Section 2.1

Section 2.1
Section 2.1 Guided Notebook
Section 2.1 The Rectangular Coordinate System and Graphing
Work through Section 2.1 TTK
Work through Section 2.1 TTK
Work through Section 2.1 TTK
Work through Objective 1
Work through Objective 2
Work through Objective 3
Work through Objective 4
Work through Objective 5
Section 2.1 The Rectangular Coordinate System and Graphing
Work through the You Try It Exercise: Plot Real Numbers on a Number Line
showing all steps below
Work through the You Try It Exercise: Determine If a Given Value is a
Solution to an Equation showing all steps below
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Section 2.1
Work through the You Try It Exercise: Solve Linear Equations in One
Variable showing all steps below
Section 2.1 Objective 1 Plot Ordered Pairs in the Rectangular Coordinate System
What can graphs be used for?
In the interactive video on page 2.1 – 4 .
Which equation(s) are not equations in two variables? Why not?
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Section 2.1
What is used to graph equations in two variables? Give both names.
What forms the coordinate axes?
What is the horizontal axis called?
What is the vertical axis called?
Where the horizontal and vertical axis intersect is called the
_______________?
What are the three names of the entire plane represented by this system.
What are the four quadrants?
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Section 2.1
Draw a picture labeling all the parts of the Rectangular Coordinate System.
What is the rectangular coordinate system used for?
What is an ordered pair?
Write two names for the first number of an ordered pair and what it
represents.
Write two names for the second number of an ordered pair and what it
represents.
Watch the video on 2.1-5.
What is the ordered pair for z?
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Section 2.1
A negative x-coordinate lies to the ___________ of the origin while a
positive x-coordinate lies to the __________ of the origin.
A positive y-coordinate lies ___________ the origin while a negative ycoordinate lies ________ the origin.
Watch the video on 2.1-7 and answer the following questions.
Describe the values of x and y in
a. Quadrant I
b. Quadrant II
c. Quadrant III
d. Quadrant IV
e. On the x-axis
f. On the y-axis
g. At the origin
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Section 2.1
Work through Example 2 on page 2.1-9. Check your answer by watching the
video with Example 1.
a. (2,-3)
b. (3,1)
c. (-3/2, -10)
Section 2.1 Objective 2 Determine If an Ordered Pair is a Solution to an Equation
What is a solution to an equation in two variables?
Work through Example 2 on 2.1-9 and show all work below and check your
solution by watching the corresponding video.
Determine if each ordered pair is a solution to the equation 2x – y = 7
a. (2,-3)
b. (3,1)
c. (-3/2, -10)
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Section 2.1
Section 2.1 Objective 3 Find Unknown Coordinates
What is the graph of a equation in two variables?
How do you make the graph of an equation in two variables?
What is an ordered pair solution?
How do you find ordered pair solutions knowing only one coordinate?
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Section 2.1
Work through Example 3 showing all work below.
Find the unknown coordinate so that each ordered pair satisfies
3x + 4y = 2.
a. (8,?)
b. (?,2)
c. (-⅔, ?)
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Section 2.1
Section 2.1 Objective 4 Graph Equations by Plotting Points
What is the endpoint?
What are maximum points of a graph?
What are minimum points of a graph?
Write down the Strategy for Graphing Equations by Plotting Points. What
does “satisfy” mean in Step 1?
Work through Example 4 and show all work below. Watch the interactive
video to check your solution to part c.
Graph each equation by plotting points.
a.
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2x + y = 1
b. y = x2 – 4
c. y = x
Section 2.1
Section 2.1 Objective 5 Find x- and y-intercepts
What are intercepts?
What is the y-intercept?
What is the x-intercept?
Draw a graph of your choosing with three x-intercepts and two y-intercepts.
Label the intercepts.
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Section 2.1
What are the intercepts in Example 5 on page 2.1-19?
When is it necessary to write intercepts as an ordered pair?
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