Lesson Design
Subject Area: Algebra II
Grade Level: 9 – 12
Benchmark Period: 2nd Quarter
Duration of Lesson: 1 day
Standard(s): Solve systems of linear equations and inequalities (in two or three variables) by
substitution, linear combinations, with graphs, or with matrices.
Big Ideas involved in the lesson: Linear Combination Method
As a result of this lesson students will:
Know:
Vocabulary: Linear Combination, Coefficients, System of Linear Equations
 Your solution is an ordered pair
 Your solution is point of intersection of the two lines
Understand:
 A System of Linear Equations can have one solution, no solutions, or infinitely many solutions.
 No solutions means that the lines are Parallel
 Infinitely many solutions means that the lines are the same
Be Able To Do:
 Solve a system of linear equations by using the Linear Combination method.
Assessments:
Formative:
What will be evidence of student
 ABWA
knowledge, understanding &
 Error Analysis
ability?
 White Boards for
CFU
 Independent Practice
WS
Anticipatory Set:
a. T. focuses students
b. T. states objectives
c. T. establishes purpose of
the lesson
d. T. activates prior knowledge
Instruction:
a. Provide information
 Explain concepts
 State definitions
 Provide exs.
 Model
1
Summative:
 Chapter Test
Lesson Plan
Show PowerPoint with different types of systems (pictures)
Discussion with the students about what type of systems they have seen
in real-life. And then we will show them five examples that we came up
with.
Go over PowerPoint with the students. Explain the steps/process of
solving a system of linear equations using the Linear Combination
method.
CFU – Ask: Does the number that we multiply to one or both of the
equations have the same sign or different sign as the chosen coefficient.
CFU – Ask: After we add the two equations together. How many terms
Lesson Design
b. Check for Understanding
 Pose key questions
 Ask students to explain
concepts, definitions,
attributes in their own words
 Have students
discriminate between
examples and nonexamples
 Encourage students
generate their own
examples
 Use participation
Guided Practice:
a. Initiate practice activities
under direct teacher
supervision – T. works
problem step-by-step along
w/students at the same time
b. Elicit overt responses from
students that demonstrate
behavior in objectives
c. T. slowly releases student to
do more work on their own
(semi-independent)
d. Check for understanding
that students were correct at
each step
e. Provide specific knowledge
of results
f. Provide close monitoring
What opportunities will students
have to read, write, listen &
speak about mathematics?
Closure:
a. Students prove that they
know how to do the work
b. T. verifies that students can
describe the what and why
of the work
c. Have each student perform
behavior
Independent Practice:
a. Have students continue to
practice on their own
b. Students do work by
themselves with 80%
accuracy
c. Provide effective, timely
2
will we have.
Show the graphic organizer. And model how to use the graphic
organizer to solve the next two examples.
CFU – What variable are we going to eliminate?
CFU – What will we multiply the first equation by? The second?
CFU – Which variable will be left over?
CFU – How did you solve for the left over variable?
CFU – Does it matter which original equation we use to substitute into?
Students will use the whiteboards and their graphic organizers to solve
the next examples.
CFU – What variable are we going to eliminate?
CFU – What will we multiply the first equation by? The second?
CFU – Which variable will be left over?
CFU – How did you solve for the left over variable?
CFU – Does it matter which original equation we use to substitute into?
They are going to read word problems, respond to CFU questions, and
listen to teacher modeling method.
Discuss with students which method they find easier between graphing
in order to solve a system of linear equations or using the Linear
Combination method in order to solve a system of Linear Equation.
Students will be asked to explain the process of solving a system of
linear equations with the linear combination method in writing.
Worksheet
Lesson Design
feedback
Resources: materials needed
to complete the lesson
3
PowerPoint Solving Linear Systems Algebraically
Whiteboards
Worksheet
Graphic Organizer