Reviewed and Approved

Peaches and Plums

Resource ID#: 42384

Primary Type: Problem-Solving Task


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This task asks students to reason about the relative costs per pound of two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.

General Information

Subject(s): Mathematics
Grade Level(s): 8
Intended Audience: Educators , Students , Parents
   
Instructional Time: 10 Minute(s)
 
Freely Available: Yes
Keywords: peaches and plums, peaches, plums, slope, graph, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, Florida standards, resource, free, freely available, problems-based learning, student activities, unit rate
Instructional Component Type(s): Problem-Solving Task
Resource Collection: Illustrative Mathematics



Aligned Standards

Name Description
MAFS.8.EE.2.5: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

Clarifications:
Examples of Opportunities for In-Depth Focus

When students work toward meeting this standard, they build on grades 6–7 work with proportions and position themselves for grade 8 work with functions and the equation of a line.