ALG1.MATH.3.F
Graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist.
Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
graphsystemstwo linear equationstwo variablescoordinate planesolutions
Skills
- graph (systems of two linear equations in two variables on the coordinate plane) #dok2
- determine (the solutions of systems of two linear equations on the coordinate plane) #dok2
- analyze (graphs to identify points of intersection as solutions) #dok2
- interpret (solutions to systems in the context of mathematical or real-world scenarios) #dok3
Learning Targets
- I can graph systems of two linear equations in two variables on the coordinate plane. #dok2
- I can determine the solution(s) to systems of two linear equations by identifying the intersection point(s) on the graph. #dok2
- I can analyze a graph to explain how the intersection relates to the solution of a system. #dok2
- I can interpret the meaning of the solution to a system in the context of a real-world problem. #dok3
Big Ideas
- A system of two linear equations can be solved graphically by finding the intersection point(s) of their lines on the coordinate plane.
- The solution to a system of linear equations represents values that simultaneously satisfy both equations, and can have one solution, no solution, or infinitely many solutions.
Essential Questions
- How do you graph a system of two linear equations on the coordinate plane?
- What does the point of intersection between two lines represent in a system of equations?
- How can you determine if a system has one solution, no solution, or infinitely many solutions by looking at the graph?
- In what real-world situations might you need to solve a system of two linear equations?
- How can the solution to a system of equations be interpreted in the context of a given problem?