More Linear Relationships

5 min

Teacher Prep
Setup
Students in groups of 2. 1 minute of quiet think time, followed by partner and whole-group discussions.

Narrative

This Warm-up prompts students to make sense of a problem before solving it by observing an image and familiarizing themselves with a context and the mathematics that might be involved. The same image will be seen in a following activity.

Launch

Arrange students in groups of 2. Display the graph for all to see. Give students 1 minute of quiet think time and ask them to be prepared to share at least one thing they notice and one thing they wonder. Give students another minute to discuss their observations and questions.

Student Task

What do you notice? What do you wonder?

Graph of line. Points plotted on line include 1 comma 70 and 4 comma 160.

Sample Response

Students may notice:

  • The graph is about pages read each day.

  • The same number of pages was read each day.

  • 160 pages had been read on day 4.

  • The number of pages read doesn’t start at 0.

Students may wonder:

  • Why doesn’t the number of pages read start at 0?

  • What are the 2 dots on the graph for?

  • How many days will it take to have a total of 300 pages read?

Activity Synthesis (Teacher Notes)

Ask students to share the things they noticed and wondered. Record and display their responses without editing or commentary for all to see. If possible, record the relevant reasoning on or near the graph. Next, ask students, “Is there anything on this list that you are wondering about now?” Encourage students to observe what is on display and respectfully ask for clarification, point out contradicting information, or voice any disagreement.

Standards
Building Toward
  • 8.EE.B·Understand the connections between proportional relationships, lines, and linear equations.
  • 8.EE.B·Understand the connections between proportional relationships, lines, and linear equations.

15 min

15 min