Interpreting Negative Numbers

5 min

Teacher Prep
Setup
Display the image. 1 minute of quiet think time and 1 minute of quiet work time, followed by a whole-class discussion.

Narrative

The purpose of this Warm-up is to remind students about negative numbers using a familiar context. The context of a thermometer also reminds students of vertical number lines.

This activity uses the Co-Craft Questions math language routine to advance reading and writing as students make sense of a context and practice generating mathematical questions.

Launch

Tell students to close their books or devices (or to keep them closed). Arrange students in groups of 2. Introduce the context image, and explain that degrees Celsius is a way of measuring temperature, like degrees Fahrenheit. If necessary, tell students that 0 degrees Celsius is the freezing point of water and 0 degrees Fahrenheit is the freezing point of brine, a type of saltwater. Use Co-Craft Questions to orient students to the context and elicit possible mathematical questions.

Give students 1–2 minutes to write a list of mathematical questions that could be asked about the situation before comparing questions with a partner.

Student Task

<p>Four thermometers. </p>
Four vertical thermometers measured in degrees Celsius. There are 16 evenly spaced tick marks and starting from the bottom of the thermometer, negative 5 is on the first tick mark, zero on the sixth, 5 on the eleventh, and 10 on the sixteenth. The first thermometer is shaded starting from the bottom of the thermometer to the tenth tickmark. The second thermometer is shaded starting from the bottom of the thermometer to the third tickmark. The third thermometer is shaded starting from the bottom of the thermometer to between the eleventh and twelfth tickmark. The fourth thermometer is shaded starting from the bottom of the thermometer to between the fourth and fifth tickmark.

Sample Response

Sample responses:

  • Which thermometer shows the warmest temperature? The coldest temperature?
  • What temperature is shown on each thermometer?
  • What is the difference between the warmest and coldest temperatures shown?
Activity Synthesis (Teacher Notes)

Invite several partners to share one question with the class, and record responses. Ask the class to make comparisons among the shared questions and their own. Ask, “What do these questions have in common? How are they different?” Listen for and amplify language related to the learning goal, such as “positive,” “negative,” and “difference.”

Standards
Building On
  • 6.NS.C·Apply and extend previous understandings of numbers to the system of rational numbers.
  • 6.NS.C·Apply and extend previous understandings of numbers to the system of rational numbers.
Building Toward
  • 7.NS.1·Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
  • 7.NS.A.1·Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

5 min

10 min