Unit 4, Lesson 10
Connecting Equations to Graphs (Part 1)
Integrated Math 1
Preparation
Lesson Narrative
In this lesson, students consider how parts of two-variable linear equations—the parameters and variables—relate to features of the graphs of those equations. They also think about how different forms of two-variable equations affect the interpretation of relationships between the quantities and about the graphs. Throughout the lessons, students practice reasoning quantitatively and abstractly (MP2) as they interpret equations and graphs in context.
- Analyze how the numbers in an equation $ax+by=c$ are reflected on its graph and are related to the rate of change in the relationship.
- Graph linear equations of the form $ax+by=c$ and interpret points on the graph in context.
- Understand that different forms of a linear equation can give different insights about the relationship it represents and about the graph.