Download standard form - CCSS Algebra 1

Standard Form
Teacher Notes
Notes: The choir concert problem is intended for them to see it
is easy to write this equation.
Vocabulary: standard form
x-intercept
10/13/2011
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1
Learning Target
Graph Lines Target 3a
I can graph a linear function written in
standard form, and horizontal and
vertical lines.
Linear Equations Target 3b
I can convert an equation from slopeintercept to standard form, and from
standard form to slope intercept form.
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2
Launch
3
Make a table of values for y   x  1
2
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3
Explore
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4
Choir Competition
Read this problem.
The choir held 2 concerts to raise money to go to
the regional competition. The choir needs to
raise $1450 for transportation, meals and hotels.
They charged for tickets on the night of the
concert $7, but $5 for tickets bought in advance.
How many tickets to they need to sell to raise
enough money to go to the regional competition?
©Evergreen Public Schools 2010
5
Choir Competition
•Identify the two variables in this
problem.
•Which variable is dependent?
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6
Choir Competition
In this situation there is not an
independent and dependent relationship.
There are two unknowns in this problem.
Let x = number of tickets sold in advance.
Let y = number of tickets sold on the night
of the concert.
•Write an equation that you can use to
solve the problem.
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7
Choir Competition
Look at the equations you wrote.
Are any in slope-intercept form?
This equation _________________________
is written in standard form.
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8
Standard Form
The equations 4x – 3y = 12 and
2x + 5y = 10 are both written in
standard form.
As a team, create your own
description of equations written
in standard form.
Is the equation written in
standard form?
Take a guess…
I) 4x  5 y  20
yes
II) y  1 x  5
no
III) 1 x  y  4
3
no
IV) 6 y  4 x  12
no
2
Write your
own
description
of standard
form.
Choir Competition
Back to our problem.
The choir held 2 concerts to raise money to go to
the regional competition. The choir needs to
raise $1450 for transportation, meals and hotels.
They charged for tickets on the night of the
concert $7, but $5 for tickets bought in advance.
How many tickets to they need to sell to raise
enough money to go to the regional competition?
©Evergreen Public Schools 2010
11
Choir Competition
One equation you might have used to
solve this problem is 5x + 7y = 1450
•Find an algebraic solution.
•Find a graphical solution.
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12
Standard Form
Find a shortcut for graphing equations in
standard form.
I. 4x + 5y = 40
II. 3x – 4y = 12
III. 2x + 7y = 28
IV. -3x – 5y = 15
Graph 3 of them.
Placemat
Name 2
What steps do you take
to graph an equation
written in standard
form?
Name 3
Name 4
©Evergreen Public Schools 2010
14
Learning Target
Did you hit the targets?
Graph Lines Target 3a
I can graph a linear function written in standard form,
and horizontal and vertical lines.
Linear Equations Target 3b
I can convert an equation from slope-intercept to
standard form, and from standard form to slope
intercept form.
©Evergreen Public Schools 2010
15
Practice
• Graphing Lines in
Standard Form
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16
Ticket Out
Sketch the graph of
5x – 6y = 30