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How are linear and nonlinear systems of equations solved; numerically, algebraically, and graphically; with and without technology?
How are the characteristics of linear programing applied to solve real-world problems?
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Student Learning Map
- Topic:Systems of Equations and Inequalities
- Subject(s):Math
- Days:15
- Grade(s):10, 11, 12
Key Learning:
Knowing how to solve systems of equations enables people to make better decisions and predictions in many applications.
Unit Essential Question(s):
Concept: Solving Systems of 2 Equations in 2 Variables Lesson Essential Question(s):How are systems of linear equations written in two variables graphically and algebraically solved?
Lesson Essential Question(s):How are systems of linear equations written in three variables solved algebraically? (A)Vocabulary:Concept: ___OBJECTIVES___5___Concept: ___OBJECTIVES___6___Lesson Essential Question(s):How are relationships and systems analyzed in order to find minimum and maximum values? (A)How are relationships and systems analyzed in order to find minimum and maximum values? (ET)Lesson Essential Question(s):Lesson Essential Question(s):
Additional Info:
The concepts, "Solving Systems of Equations by Augmented Matrices" and "Linear Programing" are not required for regular Algebra 2. Textbook Ancillary Material Technology Support Program Hands-on manipulatives Kaplan Lesson Plans
Resources:
Culminating Activities:
1. Untitled Culminating ActivityStudent Assessment(s):
1. Untitled Student AssessmentAcquisition Lesson(s):
1. How are systems of linear equations written in two variables graphically and algebraically solved?2. How are systems of linear inequalities solved?3. How are systems of linear equations written in three variables solved algebraically?4. How are systems of equations solved by using augmented matrices?5. How are relationships and systems analyzed in order to find minimum and maximum values?6. How are systems of linear equations written in two variables solved using technology?Extended Thinking Lesson(s):
1. How are relationships and systems analyzed in order to find minimum and maximum values?2. What are some advantages and some disadvantages to using technology to solve sytems of equations?3. Why does the process of solving with augmented matrices work in determining the answer?