Lesson 2
Comparing Positive and Negative Numbers
Lesson Narrative
Learning Goals
Teacher Facing
 Compare rational numbers in the context of temperature or elevation, and express the comparisons (in writing) using the symbols > and <.>
 Comprehend that two numbers are called “opposites” when they are the same distance from zero, but on different sides of the number line.
 Comprehend the word “sign” (in spoken language) to refer to whether a number is positive or negative.
 Critique (orally and in writing) statements comparing rational numbers, including claims about relative position and claims about distance from zero.
Student Facing
Learning Targets
Student Facing
 I can explain how to use the positions of numbers on a number line to compare them.
 I can explain what a rational number is.
 I can use inequalities to compare positive and negative numbers.
 I understand what it means for numbers to be opposites.
CCSS Standards
Building On
Addressing
Building Towards
Glossary Entries

opposite
Two numbers are opposites if they are the same distance from 0 and on different sides of the number line.
For example, 4 is the opposite of 4, and 4 is the opposite of 4. They are both the same distance from 0. One is negative, and the other is positive.

rational number
A rational number is a fraction or the opposite of a fraction.
For example, 8 and 8 are rational numbers because they can be written as \(\frac81\) and \(\text\frac81\).
Also, 0.75 and 0.75 are rational numbers because they can be written as \(\frac{75}{100}\) and \(\text\frac{75}{100}\).

sign
The sign of any number other than 0 is either positive or negative.
For example, the sign of 6 is positive. The sign of 6 is negative. Zero does not have a sign, because it is not positive or negative.
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