3. Student Learning Map

  • Topic:03-Linear Systems
  • Subject(s):Math
  • Days:14
  • Grade(s):11
Key Learning:

A variety of methods exist for solving systems of equations, as well as, systems of inequalities.
Unit Essential Question(s):
 
 

Why is it important to know various techniques for solving systems of equations and inequalities?
   
Concept:

Systems of Equations (3.1 and 3.2)

MA.912.A.2.5   MA.912.A.10.3   MA.912.A.3.15   MA.912.A.3.14   MA.912.A.3.10   MA.912.A.2.6   LA.910.1.6.1  
Concept:

Systems of Inequalities (3.3)

MA.912.A.10.3   MA.912.A.3.15   MA.912.A.3.14   MA.912.A.2.6   MA.912.A.2.5  
Concept:

Systems of Equations with 3 Variables (3.5 and 3.6)

LA.910.1.6.1   MA.912.A.10.3   MA.912.A.3.15   MA.912.A.3.14  
Lesson Essential Question(s):

How can graphing be used to solve a system of equations?

(A)

How do I select and apply the appropriate method, such as substitution or elimination, to algebraically solve a system of equations?

(ET)
Lesson Essential Question(s):

How can systems of inequalities be solved by graphing?

(A)
Lesson Essential Question(s):

How do I graph an ordered triple (x, y, z)?

(A)

How do I solve a system of three equations with three variables?

(A)
Vocabulary:

system of equation, linear system, independent system, dependent system, inconsistent system, equivalent system, substitution, elimination

Vocabulary:

Vocabulary:

coordinate space, ordered triples, trace

Additional Information:

Also include Language Arts Benchmarks LA.910.1.6.1 (use of vocabulary) and LA.910.4.2.1 (write in a variety of informational/expository forms, including a variety of technical documents (e.g., how-to-manuals, procedures, assembly directions)), when appropriate.

Prentice Hall Algebra II: (3.1-3.3, 3-5-3.6)

Suggested Materials: Graphing calculator

Resources:

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Know - Understand - Do Organizer
Student Learning Map
Vocabulary Report

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • system of equation -
  • coordinate space -
  • ordered triples -
  • linear system -
  • trace -
  • independent system -
  • dependent system -
  • inconsistent system -
  • equivalent system -
  • substitution -
  • elimination -