8adv.MATH.3.J
Estimate graphically the solutions to systems of two linear equations with two variables in real-world problems.
Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
solutionssystemstwo linear equationstwo variablesreal-world problems
Skills
- estimate (solutions to systems of two linear equations with two variables) #dok2
- analyze (graphs of systems to approximate solutions) #dok2
- interpret (real-world meanings of graphical solutions) #dok3
- apply (graphical estimation methods to solve real-world problems) #dok3
Learning Targets
- I can estimate the solution to a system of two linear equations with two variables by interpreting their graphs. #dok2
- I can analyze points of intersection in a graph as solutions to systems of equations. #dok2
- I can interpret the meaning of the intersection point of two graphs in the context of a real-world situation. #dok3
- I can apply graphical estimation to solve systems of equations that represent real-world problems. #dok3
Big Ideas
- The graphical intersection point of two linear equations represents the solution to the system in both mathematical and real-world contexts.
- Estimating solutions graphically allows us to solve systems of equations when precise algebraic solutions may not be practical or required in real-world scenarios.
Essential Questions
- How can you estimate the solution to a system of linear equations using a graph?
- What does the intersection point of two lines represent in the context of a real-world problem?
- Why might estimating a solution graphically be useful for real-world problems?
- How can you determine if your graphical estimate is reasonable?
- What are some limitations of solving systems graphically compared to algebraic methods?