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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.

Subject Area: Mathematics
Grade: 8
Domain-Subdomain: Expressions & Equations
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand the connections between proportional relationships, lines, and linear equations. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

Remarks/Examples

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.

TEST ITEM SPECIFICATIONS

  • Item Type(s): This benchmark may be assessed using: EE , GRID item(s)

  • Assessment Limits :

    Numbers in items must be rational numbers

  • Calculator :

    Yes

  • Context :

    Allowable

SAMPLE TEST ITEMS (3)

  • Test Item #: Sample Item 1
  • Question:

    The graph of a proportional relationship is shown.

    What is the amount of savings per week?

  • Difficulty: N/A
  • Type: EE: Equation Editor

  • Test Item #: Sample Item 2
  • Question:

    The graph of a proportional relationship and an equation are shown.

       y space equals space 11 over 2 x space plus 3

    What is the greater unit rate?

  • Difficulty: N/A
  • Type: EE: Equation Editor

  • Test Item #: Sample Item 3
  • Question:

    A tub that holds 18 liters of water fills with 2 liters of water every 2.5 minutes.

    A. Use the Add Arrow tool to create a graph that models the situation for the first 5 minutes.

    B. At what rate is the tub filling with water? Drag symbols to the circle and numbers to the boxes to show the rate.

  • Difficulty: N/A
  • Type: GRID: Graphic Response Item Display