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Lesson 2.1
SWBAT solve system of
equations by graphing
Agenda
•Do Now
•Lecture (Lesson 2.1 , 2-1 in text , p.
120)
•Guided Practice
•Independent Practice
•Exit Ticket
•Closing
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I. System of Equations
A. System of equations – set of 2 or more equations that use the same
variables
1. Linear systems – 2 lines in a system using 2 variables
2. Example
3
2
3
B. Solving systems of equations
1. What is the solution to a system of equations?
For equations
3 and
2
3, what does the point 0, 3 mean?
• The solution is the value that make both of the equations true.
• Point where the two equations intersect.
II. Solving Systems of Equations by Graphing
A. Example 1:
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B. Steps:
1. Must be in slope-intercept form
2. Graph both lines using y-intercept & slope
3. Find the intersection point
4. Check your answer by substitution for both equations
D. Example 3: What is the solution of the system
1. Classifications of system of linear equations:
2 distinctly different lines
with different slope &
different y-intercept
Same line
with same slope &
same y -intercept
2
2
3
1
Distinct line
with same slope but
different y-intercept
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Agenda
•Do Now
•Lecture
•Guided Practice
•Independent Practice
•Exit Ticket
•Closing
Guided Practice: 1-minute head start
Solve each system by graphing
1.
3
15
5
2.
4
2
2
3.
4.
3
2
4
5
2
3
6
5
2
12
2
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Agenda
•Do Now
•Lecture
•Guided Practice
•Independent Practice
•Exit Ticket
•Closing
Independent Practice –20 minutes
•Silently and independently: if you have a question,
raise your hand. If I am speaking with another student,
you may quietly ask your elbow partner
•If you are completely lost, go to back board.
•When complete, I will sign your paper. You may begin
the exit ticket
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9/3/2016
Agenda
•Do Now
•Lecture
•Guided Practice
•Independent Practice
•Exit Ticket
•Closing
Agenda
•Do Now
•Lecture
•Independent Practice
•Exit Ticket
•Closing
6