Section 1
Defining the Set of Integers
Property
Integers are the set of whole numbers and their opposites:
Zero is neither positive nor negative.
In this Grade 6 lesson from Big Ideas Math Advanced 1, students learn to identify and work with integers, including positive numbers, negative numbers, and opposites, and understand how they extend the whole number system below zero. Students practice writing positive and negative integers to represent real-world situations such as temperature changes, point gains or losses, and building floors, then graph integers and their opposites on a number line. The lesson builds foundational vocabulary and number sense needed for Chapter 6's exploration of integers and the coordinate plane.
Section 1
Defining the Set of Integers
Integers are the set of whole numbers and their opposites:
Zero is neither positive nor negative.
Section 2
The Integer Number Line
The number line consists of a straight line extending indefinitely in two directions from a central point, denoted as (zero), and a line segment starting at , denoted as the unit distance.
For each counting number , a tick mark is made on the straight line that is units distance from (the origin).
The marks on the right side of are denoted by the positive integers , and the marks on the left side are denoted by the negative integers , called the opposites of the positive integers.
Section 3
Writing Integers with Positive and Negative Signs
Positive integers can be written with or without a positive sign: .
Negative integers must always be written with a negative sign: .
Zero is written without any sign: .
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Section 1
Defining the Set of Integers
Integers are the set of whole numbers and their opposites:
Zero is neither positive nor negative.
Section 2
The Integer Number Line
The number line consists of a straight line extending indefinitely in two directions from a central point, denoted as (zero), and a line segment starting at , denoted as the unit distance.
For each counting number , a tick mark is made on the straight line that is units distance from (the origin).
The marks on the right side of are denoted by the positive integers , and the marks on the left side are denoted by the negative integers , called the opposites of the positive integers.
Section 3
Writing Integers with Positive and Negative Signs
Positive integers can be written with or without a positive sign: .
Negative integers must always be written with a negative sign: .
Zero is written without any sign: .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter