Proportional reasoning homework

Proportional relationships can be represented in different, related ways, including a table, equation, graph, and written description. Knowing one representation provides the information needed to represent the relationship in a different way. units of one quantity per 1 unit of another quantity. Unit rates are represented in equations of the form

They begin the unit by looking at how proportional relationships are represented in tables, equations, and graphs. As they analyze each representation, students continue to internalize what proportionality means, and how concepts like the constant of proportionality are visible in different ways.

Finally, in this unit, students will solve multi-step, real-world ratio and rate problems using efficient strategies and representations that rely on proportional reasoning (MP.4). These new strategies and representations, such as setting up and solving a proportion, are added to students’ growing list of approaches to solve problems.

Seventh grade students will draw on these conceptual understandings to fully understand proportional relationships. Beyond this unit, in Unit 5, seventh grade students will re-engage with proportional reasoning, solving percent problems and investigating how proportional reasoning applies to scale drawings.