Learning Resource Type

Classroom Resource

Introducing Graphs of Proportions

Subject Area

Mathematics

Grade(s)

7

Overview

This video lesson introduces graphs as an important way of representing a proportional relationship. Students plot points on the graph from tables and start to see that the graph of a proportional relationship always lies on a line that passes through (0,0). They match tables and graphs of given situations and articulate their reasons for each match (MP3).

Grade 7, Episode 5: Unit 2, Lesson 10 | Illustrative Math

    Mathematics (2019) Grade(s): 7

    MA19.7.2

    Represent a relationship between two quantities and determine whether the two quantities are related proportionally.

    Unpacked Content

    UP:MA19.7.2

    Vocabulary

    • Equivalent ratios
    • proportional
    • Coordinate plane
    • Ratio table
    • Unit rate
    • Constant of proportionality
    • Equation
    • ordered pair

    Knowledge

    Students know:
    • (2a) how to explain whether a relationship is proportional.
    • (2b) that the constant of proportionality is the same as a unit rate. Students know:
      • where the constant of proportionality can be found in a table, graph, equation or diagram.
      • (2c) that the constant of proportionality or unit rate can be found on a graph of a proportional relationship where the input value or x-coordinate is 1.

    Skills

    Students are able to:
    • (2a) determine if a proportional relationship exists when given a table of equivalent ratios or a graph of the relationship in the coordinate plane.
    • (2b) identify the constant of proportionality and express the proportional relationship using a variety of representations including tables, graphs, equations, diagrams, and verbal descriptions.
    • (2c) model a proportional relationship using coordinate graphing.
    • Explain the meaning of the point (1, r), where r is the unit rate or constant of proportionality.

    Understanding

    Students understand that:
    • (2a) A proportional relationship requires equivalent ratios between quantities. Students understand how to decide whether two quantities are proportional.
    • (2b) The constant of proportionality is the unit rate. Students are able to identify the constant of proportionality for a proportional relationship and explain its meaning in a real-world context. (2c) The context of a problem can help them interpret a point on a graph of a proportional relationship.
    Link to Resource

    CR Resource Type

    Audio/Video

    Resource Provider

    PBS
    Accessibility
    License

    License Type

    CUSTOM
    ALSDE LOGO