Download Unit Design Warren County Public Schools Content Area

Unit Design
Content Area
Grade/Course
Unit Title
Duration of Unit
Warren County Public Schools
Mathematics
HS Algebra 2
Unit 2: Systems of Equations and Inequalities
8 days
Priority Standards
HSA.CED.A.3
Represent constraints by equations or inequalities, and by systems of equations and/or
inequalities, and interpret solutions as viable or non-viable options in a modeling context. For
example, represent inequalities describing nutritional and cost constraints on combinations of
different foods.
HSA.REI.C.7
Solve a simple system consisting of a linear equation and a quadratic equation in two variables
algebraically and graphically. For example, find the points of intersection between the line y = –3x
and the circle x2 + y2 = 3.
F.IF.C.9.
Compare properties of two functions each represented in a different way (algebraically,
graphically, numerically in tables, or by verbal descriptions).
F.LE.A.2.
Construct linear and exponential functions, including arithmetic and geometric sequences, given a
graph, a description of a relationship, or two input-output pairs (include reading these from a table).
Quality Core Standards
D.1. Expressions, Equations, and Inequalities
C. Solve algebraically a system containing three variables
D.2. Graphs, Relations, and Functions
A. Graph a system of linear inequalities in two variables with and without technology to find the
solution set to the system.
B. Solve linear programming problems by finding maximum and minimum values of a function
over a region defined by linear inequalities.
Supporting Standards
A.REI.D.11.
Explain why the x-coordinates of the points where the graphs of the equations y = f (x ) and y =
g(x) intersect are the solutions of the equation f (x ) = g(x ); find the solutions approximately, e.g.,
using technology to graph the functions, make tables of values, or find successive approximations.
Include cases where f (x ) and/or g(x ) are linear, polynomial, rational, absolute value, exponential,
and logarithmic functions
F.BF.B.3.
Identify the effect on the graph of replacing f (x ) by f (x ) + k, k f (x ), f (kx), and f (x + k) for
specific values of k (both positive and negative); find the value of k given the graphs. Experiment
with cases and illustrate an explanation of the effects on the graph using technology.
Unit Design
Concepts (nouns)
Constraints
Equations
Inequalities
Systems
Solutions
Warren County Public Schools
Skills (verbs)
Represent (Create), Solve
Represent (Create), Solve
Represent (Create), Solve, Graph
Represent (Create), Solve
Interpret
Bloom’s Level (verb)
Create
Create
Create
Create
Analyze
Learning Targets
LT1: Create and solve systems of equations algebraically and/or graphically. (6)
LT2: Create and solve (graph) systems of inequalities. (6)
LT3: Solve linear programming problems by creating and graphing constraints, then finding
maximum and minimum values of an objective function over a region defined by linear
inequalities. (6)
Determine Big Ideas (lifelong
understandings)
Systems of equations can be used to help
determine solutions for real world problems.
Systems of inequalities can be used to help
determine solutions for real world problems.
Write Essential Questions (Answer Big Idea,
hook student interest.
How do I use systems of equations to determine
which cell phone plan is the better deal?
How do I use a system of inequalities to
determine the quantities of cokes and hot dogs
that maximize our concession profits?
Formative Assessment Lesson(s):
“The teacher leaders for the Gates grant work recommend that Warren County
Administration adopt the practice that Warren County Math teachers do a minimum of
one Formative Assessment Lesson per quarter. Other choices for formative assessment
lessons may be found at http://map.mathshell.org/materials/lessons.php .
Common Assessment(s):
HS Algebra 2 Unit 2 DCA – Systems of Equations and Inequalities Version A
HS Algebra 2 Unit 2 DCA – Systems of Equations and Inequalities Version B
HS Algebra 2 Unit 2 DCA – Systems of Equations and Inequalities Version C
Note: HS Algebra 2 Unit 2 DCA – Systems of Equations and Inequalities Review is to be
used in conjunction with the above assessments.