2016-2017 Curriculum Blueprint
Grade: 9-12
Course: Algebra 1
Approximate Time:
4 days
Module 11: Solving Systems of Linear Equations
Learning Goal
The student is expected to solve systems of
equations graphically or algebraically using the
substitution or elimination methods. Students will
be expected to justify steps and check answers with
other methods.
Essential Questions
1.
How can you use a system of linear equation so solve
real-world problems?
2. How can you find the solution of a system of linear
equations by graphing?
3. How can you solve a system of linear equations by
using substitution?
4. How can you solve a system of linear equations by
adding and subtracting?
5. How can you solve a system of linear equations by
using multiplication and elimination?
Unit Overview
This unit focuses on solving systems of linear equations and
inequalities, with and without technology using graphing as well
as elimination and substitution. During the unit, students will also
gain an understanding of the different types of systems, what
kind of solution a system may produce, and how to model
situations through the use of systems. Finally, the unit touches
upon piece-wise functions, including absolute value equations
and inequalities.
Vertical Progression
MAFS.8.EE.3.8: In grade 8 students solved a system of two equations algebraically and graphically in two variables and understood that the solution represented a point of intersection
on a graph that satisfies both equations simultaneously.
Module Focus Standards
Module Topics
Algebra 1 Test Item Specs (Reference Sheet at End)
High School Flipbook
MAFS.912.A-REI.3.6: (DOK 1) Solve systems of linear equations exactly and
approximately (e.g., with graphs), focusing on pairs of linear equations in two
variables.
 Solve systems of linear equations by any method.
 Justify the method used to solve systems of linear equations exactly and
approximately, focusing on pairs of linear equations in two variables.
Solving Linear Systems by Graphing (A-REI.3.6)
Core Resource:
 Lesson 11.1 (HMH Book)
MAFS.912.A-REI.3.5: (DOK 3) Prove that, given a system of two equations in two
variables, replacing one equation by the sum of that equation and a multiple of
the other produces a system with the same solutions.
 Recognize and use properties of equality to maintain equivalent systems of
equations.
 Justify that replacing one equation in a two-equation system with the sum of
that equation and a multiple of the other will yield the same solutions as the
original system.
Additional Resource:
 Estimating a Solution Via Graphs – Illustrative
Mathematics
Formative Assessments:
 Lesson Performance Task (HMH pg. 490)
 Solving a System of Equations - 1 – CPALMS
Solving Linear Systems by Substitution (AREI.3.6)
Core Resource:
 Lesson 11.2 (HMH Book)
Additional Resource:
Essential Vocabulary
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system of linear equations
solution
consistent system
independent system
dependent system
inconsistent system
substitution method
elimination method
Higher Order Question Stems
 What property could we use to find a
solution?
 What mathematical tool could be used?
 How do you know your answer is
correct/reasonable?
2016-2017 Curriculum Blueprint
Grade: 9-12
Course: Algebra 1
4 days
Module 11: Solving Systems of Linear Equations
Mathematical Practices
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.2.1: Reason abstractly and quantitatively.
MAFS.K12.MP.5.1: Use appropriate tools strategically.
MAFS.K12.MP.6.1: Attend to precision.
 Accurately Weighing Pennies I - Illustrative
Mathematics
Formative Assessments:
 Lesson Performance Task (HMH pg. 502)
 Apples & Peaches – CPALMS
Solving Linear Systems by Adding or Subtracting
(A-REI.3.6)
Core Resource:
 Lesson 11.3 (HMH Book)
Additional Resource:
 Module 1 Lesson 23 – Engage NY
Formative Assessments:
 Lesson Performance Task (HMH pg. 514)
Solving Linear Systems by Multiplying First (AREI.3.5, A-REI.3.6)
Core Resource:
 Lesson 11.4 (HMH Book)
Additional Resource:
 Solving Systems of Equations by Elimination Kuta
Formative Assessments:
 Lesson Performance Task (HMH pg. 526)
 Solution Sets of Systems - CPALMS
Approximate Time:
Writing Connections
 Justify why you needed to use
.
 Write to explain why you used the specific
tool to solve the problem.
 Write to justify your work precisely.
Link to Webb’s DOK Guide