Word 1 of 5

Explore Integers and Their Opposites

Represent integers and their opposites on horizontal and vertical number lines. Understand that opposite signs indicate locations on opposite sides of 0.

6.NOS.C.5 Β· 6.NOS.C.6a Β· Integers & Opposites
Level
Guided practice with vocabulary support

🟠 Level 0 β€” Extra Support

Sentence starters: β€œFirst, I…” Β· β€œThe answer is… because…” Β· β€œI know this because…”
W

Warm-Up

2 questions
Warm-Up 1
What integer represents "a loss of 15 yards"?
Vocabulary: An integer is any whole number, including positive numbers, negative numbers, and zero. A loss or decrease is represented by a negative number.
✓Correct! A loss is negative, so "a loss of 15 yards" is represented by the integer -15.
✗Not quite. A "loss" means a decrease, which is a negative number. The answer is B: -15.
Warm-Up 2
True or False: The opposite of -7 is 7.
Vocabulary: The opposite of a number is the same distance from 0 on the number line, but on the other side. For example, the opposite of 3 is -3.
✓Correct! -7 and 7 are on opposite sides of 0, each 7 units away. They are opposites.
✗Actually, the opposite of -7 is 7. Both are 7 units from 0 but on opposite sides of the number line.
P

Practice

5 questions
Practice 1
Write the opposite of each integer.
Remember: The opposite of a positive number is negative, and the opposite of a negative number is positive. The opposite of zero is zero.
0 -5 5 10 -10
a. Opposite of 12 =
b. Opposite of -5 =
c. Opposite of 0 =

Sentence frame: "The opposite of ___ is ___ because they are the same distance from 0 but on ___ sides."

✓All correct! The opposite of 12 is -12, the opposite of -5 is 5, and the opposite of 0 is 0.
✗Some answers need another look. Remember: flip the sign to find the opposite. The opposite of 0 is still 0.
Practice 2
Which point on the number line shows -3?
Hint: Negative numbers are to the left of 0 on a horizontal number line. Count 3 tick marks to the left of 0.
-5 -4 -3 -2 -1 0 1 2 3 4 5 A B C D
✓Correct! Point B is at -3, which is 3 units to the left of 0 on the number line.
✗Not quite. Count 3 tick marks to the left of 0. That's -3, which is Point B.
Practice 3
Sort each value into the correct category: Positive, Negative, or Zero.
Remember: Positive integers are greater than 0. Negative integers are less than 0. Zero is neither positive nor negative.
+9
-4
0
-12
3
-1
Positive
Negative
Zero
✓All correct! Positive: +9 and 3. Negative: -4, -12, and -1. Zero: 0.
✗Some items are in the wrong group. Positive numbers are above 0, negative are below 0, and zero is its own category. Try again!
Practice 4
What is the opposite of the opposite of 8?
Think step by step: First, find the opposite of 8. Then, find the opposite of that answer.
0 -8 8 opposite
Explain your reasoning:

Sentence frame: "The opposite of 8 is ___. The opposite of ___ is ___. So the opposite of the opposite of 8 is ___."

✓Correct! The opposite of 8 is -8. The opposite of -8 is 8. The opposite of the opposite always returns to the original number.
✗Think again: opposite of 8 = -8, then opposite of -8 = 8. The answer is C: 8.
Practice 5
True or False: Zero is neither positive nor negative.
Think about it: Zero sits right in the middle of the number line. It is the boundary between positive and negative numbers. Does it belong to either group?
Explain your reasoning:

Sentence frame: "Zero is ___ because it is not greater than 0 and not less than 0. It is the ___ between positive and negative numbers."

✓Correct! Zero is neither positive nor negative. It is the boundary point on the number line between positive and negative integers.
✗Actually, this is true. Zero is neither positive nor negative. It sits at the center of the number line.
★

Challenge

1 question
Challenge
The temperature dropped from 5°F to -5°F. Use the number line below to mark both temperatures, then explain the opposite relationship between 5 and -5.
Think about it: 5 and -5 are opposites. They are the same distance from zero, but on opposite sides. A temperature drop from 5°F to -5°F means the temperature crossed 0.
-10 -5 0 5 10 5°F (start) -5°F (end)
Explain the opposite relationship between 5°F and -5°F:
How far apart are these temperatures? How does each relate to 0?

Sentence frame: "5 and -5 are opposites because they are both ___ units from 0, but on ___ sides. The temperature dropped ___ degrees total."