Name: John Toney
Date: 11-10-14
WOODLAND HILLS SECONDARY
LESSON PLANS
Content Area: Mathematics
Length of Lesson: 20 days
STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
Systems of Equations and Inequalities:
 Solving Systems of Equations by Graphing
 Solving Systems of Equations Algebraically
By substitution and elimination.
 Solving Systems of Inequalities by Graphing
Big Ideas:
 2.5.11.A: Develop a plan to analyze a
problem, identify the information needed
to solve the problem, carry out the plan,
check whether an answer makes sense, and
explain how the problem was solved in
grade appropriate contexts.
 2.5.11.B: Use symbols, mathematical
terminology, standard notation,
mathematical rules, graphing and other
types of mathematical representations to
communicate observations, predictions,
concepts, procedures, generalizations,
ideas, and results.
 2.8.11.B: Evaluate and simplify algebraic
expressions and solve and graph linear,
quadratic, exponential, and logarithmic
equations and inequalities, and solve and
graph systems of equations and
inequalities.
 2.8.11.E: Use combinations of symbols and
numbers to create expressions, equations,
and inequalities in two or more variables,
systems of equations and inequalities, and
functional relationships that model
problem situations.
Understanding Goals (Concepts):
 Formulate expressions, equations,
inequalities, systems of equations,
systems of inequalities and matrices to
model routine and non-routine problem
situations.
 Identify whether systems of equations
and inequalities are consistent or
inconsistent.
 Analyze and explain systems of
equations, systems of inequalities and
matrices.
 Select and use an appropriate strategy to
solve systems of equations and
inequalities using graphing calculators,
symbol manipulators, spreadsheets and
other software.
 Demonstrate the connection between
algebraic equations and inequalities and
the geometry of relations in the
coordinate plane.
 Demonstrate mathematical solutions to
problems (e.g., in the physical sciences).
 Select and use appropriate mathematical
concepts and techniques from different
areas of mathematics and apply them to
solving non-routine and multi-step
problems.
 Use symbols, mathematical terminology,
standard notation, mathematical rules,
graphing and other types of
mathematical representations to
communicate observations, predictions,
concepts, procedures, generalizations,

Student Objectives (Competencies/Outcomes):
Students will be able to:
 Solve systems of linear equations by
graphing.
 Determine whether a system of linear
equations is consistent and independent,
consistent and dependent, or inconsistent.
 Solve systems of linear equations by using
elimination.
 Solve systems of linear equations by using
substitution.
 Solve systems of inequalities by graphing.
 Determine the coordinates of the vertices of
a region formed by the graph of a system of
inequalities.
Essential Questions:
 How do you decide which functional
representation to choose when modeling a
real world situation, and how would you
explain your solution to the problem?
 How do you write, solve, graph, and
interpret linear equations and inequalities
to model relationships between quantities?
 How do you write, solve, and interpret
systems of two linear equations and
inequalities using graphing and algebraic
techniques?
ideas and results.
Present mathematical procedures and
results clearly, systematically, succinctly
and correctly.
Vocabulary:
 Bounded region
 Consistent system
 Constraints
 Dependent system
 Elimination method
 Inconsistent system
 Independent system
 Ordered triple
 Substitution method
 System of equations
 System of inequalities
 Unbounded region
 Vertices
STAGE II – ASSESSMENT EVIDENCE
Performance Task:
Formative Assessments:
Students will demonstrate adequate understanding via a chapter test.
Pre-assessments, open-ended questions, Think-Pair-Share
Materials and Resources:
Textbook, notes
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend math lab
“Mini Lesson” Students will
fill out guided notes on
solving a system of
equations by the graphing
method. We will work as a
class on three exmaples .
Students will then start a
few more problems and
finish them for homework.
Tuesday
Date: 11/11
Day: B
“Do Now” – Describe
weather a system is
consistent or inconsistent
and weather it is dependent
or independent
“Mini Lesson” Students will
check homework answers
then begin working on
additional problems from
worksheet page 122. They
will work in pairs then finish
the problems for homework.
Wednesday
Date: 11/12
Day: A
“Do Now” – Standard test
practice questions on
systems
“Mini Lesson” Students will
check homework answers
then begin working on
additional problems from
worksheet page 119. They
will work in pairs then finish
the problems for homework.
Thursday
Date: 11/13
Day: B
“Do Now” – Solve a system
of equations by graphing
Friday
Date: 11/14
Day: A
“Do Now” – Solve a system
of equations by substitution
“Mini Lesson” Students will
fill out guided notes on
solving a system of
equations by the
substitution method. We
will work as a class on three
exmaples . Students will
then start a few more
problems and finish them
for homework.
“Mini Lesson” Students will
check homework answers
then work on #1-4 ws pg
128 as teacher directed
problmes. They will then
begin working on other
problems from worksheet
page 128 top section only.
Problem numbers 1-9 are on
solving systems by
substitution. They will work
in pairs then finish the
problems for homework.
NB HW 3-2
Problem 1 a and b only
Worksheet page 128
# 1-9 only
NB HW 3-1
Worksheet page 122
Worksheet page 119/120

Assignments

Procedures
Instructional Procedures*:
Monday
Date: 11/10
Day:A
“Do Now” – Graph 2 linear
equations on the same
coordinate plane
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections