Westside High School Backwards-Design Lesson Plan Template
2013-2014
Algebra 2 PAP
System of Equations and Matrices (unit 4)
10/13/14 - 10/31/14
Understanding
(s)/goals:
Essential
Question(s):
EU1: Students
solve and
analyze
systems of
linear
equations
using tables,
graphs and
algebraic
methods.
EQ1:
How many types of
solutions exist in a
system of linear
equations and what
are they?
How do systems of
equations model realworld situations?
How is the point of
intersection related
to a break-even
point?
What characteristics
of inequalities
determine the
shading half of the
plane?
How may equations
represent models of
real world problems
or situations?
How may inequalities
be represented
graphically for real
world situations?
EU2:
Students solve
and analyze
systems of
linear
equations
using matrices
EQ2:
How are the methods
(substitution,
elimination ,graphing
and matrices) of
solving different from
each other?
How are they the
same?
Why would one
method be used
instead of another?
Stage 1 – Desired Results
Student Outcomes (objectives):
Ⓡ ALGII.3A Analyze situations and formulate systems of equations in two or more
unknowns or inequalities in two unknowns, to solve problems.
Ⓡ ALGII.3B Use and apply algebraic methods including substitution
or linear elimination, graphs, tables, or matrices to solve systems
of equations or inequalities.
Ⓡ ALGII.3C Interpret and determine appropriate domain and range values,
and the reasonableness of solutions to systems of equations or inequalities, for
given contexts.
SO4.1: SWBAT identify the domain and range of functions from tables, equations,
graphs and real world situations. (ALGII.3C)
SO4.2: SWBAT formulate systems of equations or inequalities with two or more
variables to represent real life situations. (ALGII.3B)
SO4.3: SWBAT solve systems of equations with two or more variables using graphing,
substitution or elimination. (ALGII.3A)
Ⓡ ALGII.3A Analyze situations and formulate systems of equations
in two or more unknowns or inequalities in two unknowns, to solve problems.
Ⓡ ALGII.3B Use and apply algebraic methods including substitution
or linear elimination, graphs, tables, or matrices, to solve systems of equations or
inequalities.
Ⓡ ALGII.3C Interpret and determine appropriate domain and range
values, and the reasonableness of solutions to systems of equations or inequalities,
for given contexts.
SO4.1: SWBAT identify the domain and range of functions from tables, equations,
graphs and real world situations. (ALGII.3C)
SO4.2: SWBAT formulate systems of equations with two or more variables to
represent real life situations using matrices. (ALGII.3A)
SO4.4: SWBAT solve systems of equations with two or more variables using
graphing, substitution or eliminate Matrices (Cramer’s Rule and Inverse of Matrices).
(ALGII.3B)
Stage 2 – Assessment Evidence
Performance Task(s) and Other Evidence: (Assessment evidence should be collected for each Student Outcome (SO) listed
above.)
Formative
Summative (Attach copy)
SO4.1
Day 1,2,3 homework
#6,#9
SO4.2
Day 2 homework
#7,#8
SO4.3
Day 1,3 classwork and HW, quiz
#1, #2, #3, #4, #5
SO4.1
Day 10 classwork
#8
SO4.2
Day 8,9 classwork and HW
#9,#10,#11
SO4.4
Day 8,9 classwork and HW, and quiz
#12
Student Outcomes (Objectives)
Daily Activities
Day 1: Monday 10/13
3.1 Solving Linear Systems by Graphing
3.2 Solving Linear Systems Algebraically
SO4.1: We will identify the domain and range
of functions from tables, equations, graphs
and real world situations. (ALGII.3C)
HW: sections 3.1 and 3.2
SO4.3: We will solve systems of equations
with two or more variables using graphing,
substitution or elimination. (ALGII.3A)
Day 2: Tuesday 10/14
3.3 Graph Systems of Linear Inequalities
SO4.2: We will formulate systems of
equations or inequalities with two or more
variables to represent real life situations.
(ALGII.3B)
HW: section 3.3
Day 3: Wednesday / Thursday 10/1510/16
PSAT
3.3 Linear Programming (LTF)
SO4.2: SWBAT formulate systems of
equations or inequalities with two or more
variables to represent real life situations.
(ALGII.3B)
SO4.3: SWBAT solve systems of equations
with two or more variables using graphing,
substitution or elimination. (ALGII.3A)
Day 4: Friday 10/17
SO4.1: SWBAT identify the domain and range
of functions from tables, equations, graphs
and real world situations. (ALGII.3C)
SO4.2: SWBAT formulate systems of
equations or inequalities with two or more
variables to represent real life situations.
(ALGII.3B)
SO4.3: SWBAT solve systems of equations
with two or more variables using graphing,
substitution or elimination. (ALGII.3A)
Day 5: Monday 10/20
SO4.1: SWBAT identify the domain and range
of functions from tables, equations, graphs
and real world situations. (ALGII.3C)
SO4.2: SWBAT formulate systems of
equations or inequalities with two or more
variables to represent real life situations.
(ALGII.3B)
SO4.3: SWBAT solve systems of equations
with two or more variables using graphing,
substitution or elimination. (ALGII.3A)
Quiz
HW: section 3.4
3.4 Solve Systems of Linear Equations in Three Variables
Review/catch up
3.5 Perform Basic Matrix Operations
POW A2U2 Due
HW: section 3.5
Day 6: Tuesday 10/21
Summative Assessment Test #6
We will learn the basic operations of matrices
including adding, subtracting and scalar
multiplying.
Day 7: Wednesday Thursday 10/22 –
10/23
We will learn the basic operations of matrices
including multiplying.
3.6 Multiplying Matrices
HW: section 3.6
Day 8: Friday 10/24
SO4.2: SWBAT formulate systems of
equations with two or more variables to
represent real life situations using matrices.
(ALGII.3A)
SO4.4: SWBAT solve systems of equations
with two or more variables using graphing,
substitution or eliminate Matrices (Cramer’s
Rule and Inverse of Matrices). (ALGII.3B)
3.7 Evaluate Determinants and Apply Cramer’s Rule
Day 9: Monday 10/27
3.8 Use Inverse Matrices to Solve Linear Systems
SO4.2: SWBAT formulate systems of
equations with two or more variables to
represent real life situations using matrices.
(ALGII.3A)
SO4.4: SWBAT solve systems of equations
with two or more variables using graphing,
substitution or eliminate Matrices (Cramer’s
Rule and Inverse of Matrices). (ALGII.3B)
Day 10: Tuesday 10/28
SO4.2: SWBAT formulate systems of
equations with two or more variables to
represent real life situations using matrices.
(ALGII.3A)
SO4.4: SWBAT solve systems of equations
with two or more variables using graphing,
substitution or eliminate Matrices (Cramer’s
Rule and Inverse of Matrices). (ALGII.3B)
Day 11: Wednesday Thursday 10/29 –
10/30
SYMKC Quiz- Geometry
HW: section 3.7
Quiz
HW: section 3.8
3.4 Solve Systems of Linear Equations in Three Variables with matrices
POW A1U5 Due
4.1 Graph Quadratic Functions in Standard Form
SO4.1 Determine the reasonable domain and
range values of a quadratic function
represented by a table of values, graph,
function rule, or a contextual situation, as
well as interpret and determine the
reasonableness of solutions to quadratic
equations and inequalities. (ALGII.6A)
SO5.1 Relate representations of quadratic
functions in algebraic, tabular, graphical, and
verbal forms. (ALGII.6B)
SO5.2 Use characteristics of the quadratic
parent function to sketch the related graphs
and connect between the f(x) = ax2+ bx + c
and the f(x) = a (x – h)2 + k symbolic
representations of quadratic functions, and
write the quadratic function in f(x) = ax2 + bx
+ c or f(x) = a (x – h)2 + k given the graph of
the function. (ALGII.7A)
Day 11: Friday 10/31
Summative Assessment Test #6