Westside High School Backwards-Design Lesson Plan Template
2014-2015
Algebra 2 PAP
Linear Functions, Inequalities and absolute value
8/25-9/9
Stage 1 – Desired Results
Student Outcomes (objectives):
Understanding
(s)/goals:
Essential
Question(s):
EU1:
EQ1:
How may equations
represent models of
real world
problems or
situations?
Students solve
and graph linear
equations and
inequalities,
analyze linear
functions, and
apply these
functions as
models of realworld situations.
Transformations of
linear functions :
1. How can linear
functions be
changed to
indicate certain
transformations?
2. How are
transformations
indicated in different
forms of linear
equations?
EU2:
Students solve and
graph linear
inequalities, analyze
linear inequalities,
and apply to realworld situations
EQ2:
How may equations
represent models of
real world
problems or
situations?
How may
inequalities be
represented
Graphically for real
world situations?
Ⓡ ALGII.1A Identify the mathematical domains and ranges of
functions, determine reasonable domain and range values for
continuous and discrete situations, and describe situations given
domain and range values.
ⓇALGII.1B Collect and organize data in a table or list, make and
interpret scatterplots using graphing calculators, fit the graph of a
function to the data, interpret the results, and proceed to model,
predict, and make decisions and critical judgments.
Ⓢ ALGII.4A Identify and sketch graphs of parent functions,
including linear (f(x) = x), quadratic (f(x) = x2), exponential (f(x) =
ax), logarithmic (f(x) = logax), absolute value of x (f(x) = lxl), square
root (f(x) = √x), and reciprocal of x (f(x) = 1/x) functions.
Ⓡ ALGII.4B Extend parent functions with parameters such as a in
f(x) = a/x and including a in g(x) = a[f(x)], k in g(x) = f(x) + k, and h in
g(x) = f(x – h), and describe the effects of the parameter changes
on the graph of parent functions.
SO1.1: SWBAT identify the domain and range of functions from tables,
equations, graphs and real world situations. (ALGII.1A)
SO1.2: SWBAT organize data, create a scatterplot, interpret the results
and make decisions of real world situations. (ALGII.1B)
SO1.3: SWBAT identify, analyze and graph a linear function/ inequality
given certain information. (ALGII.4A & 4B)
Ⓢ ALGII.2 Manipulate symbols in order to solve problems and use the
necessary algebraic skills required to simplify algebraic expressions
and solve equations and inequalities in problem situations.
SO2.1: SWBAT manipulate symbols in order to solve for a variable.
(ALGII.2)
SO2.1: SWBAT formulate linear equations and inequalities, analyze
and/or make prediction from real life problems. (ALGII.2)
EU3:
Students solve
absolute value
equations and
inequalities.
EQ3:
1. How may absolute
value equations
model realworld
situations?
2. How may absolute
value inequalities be
represented
graphically?
ⓇALGII.1A Identify the mathematical domains and ranges of
functions, determine reasonable domain and range values for
continuous and discrete situations, and describe situations given
domain and range values.
Ⓢ ALGII.2A Apply tools including factoring and properties of
exponents to simplify expressions and to transform and solve
equations and inequalities.
SO3.1: SWBAT solve and graph absolute value equations and apply to
real world situations. (ALGII.1A)
SO3.2: SWBAT solve and graph absolute value inequalities and apply
to real world situations. (ALGII.2A)
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)
SO1.1
Day 6 homework
#1, #2
SO1.2
Day 8 classwork
Will be tested on next tests
SO1.3
Day 5 classwork and HW
#3, #4, #5, #6, #7
SO2.1
Day 1 & 2 HW, Quiz
#8
SO2.2
Day 1 & 2 HW, Quiz
#9,#10,#11
SO3.1
Day 4 classwork and HW, and quiz
#12
SO3.2
Day 4 classwork and HW, and quiz
#13,#14
Algebra 2 PAP
Ms. Mahmassani/Mrs. Morales
Linear Functions and Inequalities
8/26-9/12
Learning Activities:
Student Outcomes (Objectives)
Daily Activities
Day 1: Monday 8/25/13
Welcome
Students pick up Syllabus, POW A1U1 (due 9/3)
Course Syllabus
Calendar for the first six weeks
Fill out Student information card
Day 2: Tuesday8/26/13
SO2.1: We will manipulate symbols in
order to solve for a variable.
(ALGII.2)
Rewrite Formulas (section 1.4)
LTF: Literal equations Geometric Formulas (A1)
Day 3: Wed/Thurs8/27-8/28
SO2.1: We will solve and graph linear
equations and inequalities. (ALGII.2)
Answer questions and grade HW
Solve Linear Inequalities (section 1.6)
LTF: Interval Notation (A2)
Day 4: Friday 8/29/13
HW: sections 1.6 Worksheet
Test #1: Summer Packet Test
HW: Literal Equations Worksheet
Summer packet due
Day 5: Tuesday9/2/13
SO3.1: We will solve and graph
absolute value equations and apply
to real world situations. (ALGII.1A)
SO3.2: We will solve and graph
absolute value inequalities and apply
to real world situations. (ALGII.2A)
Day 6: Wed/Thurs 9/3-9/4
SO1.1: We will identify the domain
and range of functions from tables,
equations, graphs and real world
situations. (ALGII.1A)
SO1.3: We will analyze and graph a
linear function/ inequality given
certain information. (ALGII.4A & 4B)
SO1.4: We will identify various parts
of linear functions. (ALGII.4A & 4B)
Answer questions and grade HW
Absolute Value Equations and Inequalities (section 1.7)
Quiz
HW: sections 1.7 worksheet
Answer questions and grade HW
Linear Function (sections 2.1-2.5)
LTF Write the Equation of the Line- Review
LTF Solving Systems of Linear Equations
LTF Finding Area and Writing Equations for Bounded Regions
SYMKC Quiz
HW: Sections 2.1-2.4 selected problems
Day 7: Friday 9/5/13
SO1.1: We will identify the domain
and range of functions from tables,
equations, graphs and real world
situations. (ALGII.1A)
SO1.3: We will analyze and graph a
linear function/ inequality given
certain information. (ALGII.4A & 4B)
SO1.4: We will identify various parts
of linear functions. (ALGII.4A & 4B)
Day 8: Monday9/8/13
SO1.2: We will organize data, create
a scatterplot, interpret the results
and make decisions of real world
situations. (ALGII.1B)
Day 9: Tuesday 9/9/13
Answer questions and grade HW
Continue Reviewing Linear Function (sections 2.1-2.5)
Graph Linear Inequalities two variables (section 2.8)
LTF System of Linear Inequalities
HW: System of Linear Inequalities
Answer questions and grade HW
Scatter Plots, Line of Best Fit (section 2.6)
Continuous and discrete functions
POW A1U1 Due
HW: Section 2.6 worksheet
Summative Assessment Test #2