8.MATH.9
Identify and verify the values of x and y that simultaneously satisfy two linear equations in the form $y = mx + b$ from the intersections of the graphed equations.
Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
valuesxylinear equationsform y = mx + bintersectionsgraphed equations
Skills
- identify (values of x and y that satisfy two linear equations) #dok2
- verify (values of x and y that satisfy two linear equations) #dok2
- interpret (the intersection point of two graphed linear equations) #dok2
- analyze (solutions to systems of linear equations) #dok3
Learning Targets
- I can recognize the point of intersection as the solution to two linear equations in the form y = mx + b. #dok1
- I can identify values of x and y that satisfy both equations in a system from a graph. #dok2
- I can verify if specific x and y values are solutions to two linear equations by substituting and checking both equations. #dok2
- I can interpret the meaning of the intersection point of two graphed linear equations in a real-world context. #dok3
Big Ideas
- A point of intersection on a graph represents a solution that satisfies both linear equations simultaneously.
- Systems of two linear equations can be solved graphically by finding where their lines cross.
Essential Questions
- What does the intersection point of two linear equations represent?
- How can you determine if a specific value of x and y satisfies both equations in a system?
- Why are systems of equations useful in solving real-world problems?
- How can you use a graph to verify a solution to a system of linear equations?
- What could it mean if two linear equations do not intersect on a graph?