Solving Systems by Graphing and Substitution
Students find the intersection of two lines to solve a system graphically. They also use algebraic substitution to find exact solutions.
About This Topic
Students find the intersection of two lines to solve a system graphically. They also use algebraic substitution to find exact solutions.
Key Questions
- What does the intersection point of two lines represent?
- When is substitution the most efficient method to solve a system?
- How can a system have no solution or infinitely many solutions?
Planning templates for Algebra I
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
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