Math Unit Template
El Rancho Unified School District
Topic/Main Idea: Systems of Equations
CCSS: HSA-REI.C.6
Timeline: 10-14 days
Objectives/Concept/Skill (DOK):
Connections to earlier and next grade levels:
We will be able to create a system of equations from a real-life
Prior:
Create linear equations
situation.
Graphing linear equations
We will be able to solve the system of equations using multiple
Solve multi-step equations
representations.
Evaluate the expressions
We will be able to show the solution through algebraic algorithm,
Create input/output tables
table, and a graph.
Future: Systems of Inequalities
Performance Task/Activity (DOK):
Students will look at different phone companies to determine which plan will be
efficient for them. They will look at patterns to develop equations for each phone
company. They will graph the system to see when both companies will be equal in
terms of minutes and pricing. Based on their recorded data, students will analyze
which plan is beneficial for them and support their choice with their own data.
Relevance/Rationale:
Systems of Equations are useful when
comparing different options based on
set criteria.
SBAC Assessment Item References:
 None available for this topic at this time
Academic Vocabulary:
Point of intersection, Equal Values Method, Infinite solutions,
Substitution Method, Solution, No solution, Elimination Method,
Ordered pair
Textbook References (i.e., Homework Resources):
CPM Algebra Connections
CPM.ORG- Extra Practices
Kuta Software website
Materials/Manipulatives:
Graph paper, rulers, pencil, graphing calculator (optional), index
cards(4), tape
Mathematical Practices
__X_ 1.
____ 2.
__X_ 3.
__X_ 4.
Makes sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with Mathematics.
Explanation:
Lesson Topic:
Mathematical
Sentences
Solving Word Problems
Solving Problems by
Writing Equations
LOL (Learning
Objective with
Language):
We will be able learn how to
write and interpret
mathematical sentences and
will begin to write equations
from real-life word problems.
We will be able to defend the
meaning behind the equation
being developed.
We will learn how to define
variables, write and solve
equations connected with
real-life word problems. We
will work in groups to develop
equations to fit each problem
and present the equation to
the class.
We will compare writing single
equations with one variable to
writing a system of equations
with two variables. Through
whole class discussion, we will
develop equations and systems
of equations.
____ 5.
____ 6.
____ 7.
____ 8.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
Resources (Instructional
Strategies, Textbook References, etc.):
**Handout: Phone Log- Student must start recording
their phone usage on a daily basis to be prepared for
performance task**
CPM Ch.6 1-5
HW: 6-7, 6-8, 6-10 thru 6-12
CPM Ch.6 13-15
HW: 6-16 thru 6-21
CPM Ch.6 22-23
HW: 6-26 thru 6-31
Solving Systems of
Equation Using
Substitution
Making Connections:
Systems, Solutions,
and Graphs
Solving Systems Using
Elimination
We will understand how to
use Substitution to solve
systems of linear equations.
We will demonstrate by
presenting to the class
Problem 6-36.
We will examine how a
solution to a system of
equations relates to those
equations and to a graph of
those equations. We will
demonstrate through posters
of our findings to our
problems and justify our
answers through follow up
questions.
We will develop the
Elimination Method for solving
systems of equations.
Through discussion, we will
understand that all methods
lead to the same solution.
5x7 Index cards (4)
Tape
CPM Ch.6 33-36
HW: 6-37 thru 6-42
Extra Practice (Optional):
http://www.kutasoftware.com/FreeWorksheets
/Alg1Worksheets/Systems%20of%20Equations%20Substitution.pdf
CPM Ch. 6-43 (further guidance 6-44, 45, 46), 6-47
HW: 6-50 thru 6-55
CPM Ch. 6-56 thru 6-60. Skip 6-57
HW: 6-61 thru 6-66
Extra Practice (Optional):
http://www.cpm.org/pdfs/
skillBuilders/AC/AC_Extra_Practice_Section14.pdf