ALG2.MATH.3.B
Solve systems of three linear equations in three variables by using Gaussian elimination, technology with matrices, and substitution.
Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
systems of three linear equationsthree variablesGaussian eliminationtechnologymatricessubstitutionsolution
Skills
- solve (systems of three linear equations in three variables using Gaussian elimination) #dok3
- solve (systems of three linear equations in three variables using technology with matrices) #dok2
- solve (systems of three linear equations in three variables using substitution) #dok2
- interpret (solutions to systems of three linear equations in three variables) #dok2
Learning Targets
- I can solve systems of three linear equations in three variables using Gaussian elimination. #dok3
- I can solve systems of three linear equations in three variables using technology with matrices. #dok2
- I can solve systems of three linear equations in three variables using substitution. #dok2
- I can interpret the meaning of a solution to a system of three linear equations. #dok2
Big Ideas
- Systems of three linear equations can be solved using multiple strategies, such as substitution, matrix methods, and Gaussian elimination.
- Different methods for solving systems of equations are useful in various problem-solving scenarios, especially as system complexity increases.
Essential Questions
- What methods can be used to solve a system of three linear equations in three variables?
- How does Gaussian elimination compare to substitution and matrix technology when solving systems of equations?
- In what real-world situations would you need to solve a system of three linear equations in three variables?
- How can you verify the solution to a system of three linear equations?
- Why might you choose one solving method over another for a particular system of equations?