๐Ÿคฟ

Captain Mia's Submarine

Captain Mia dives below the sea. Integers, absolute value, and comparing numbers describe depth, height, and distance.

ESOL Reading + Math Integers & Absolute Value 6.NS.5โ€“7 Levels: Beginner & Intermediate
Before You Read

Key Words

integer โ€” a whole number that can be positive, negative, or zero: โ€ฆโˆ’2, โˆ’1, 0, 1, 2โ€ฆ
negative number โ€” a number less than zero, like โˆ’20 (below sea level).
absolute value โ€” the distance from zero, always positive. |โˆ’20| = 20.
opposite โ€” the same distance from 0 on the other side. The opposite of โˆ’8 is 8.
compare โ€” decide which is greater. On a number line, left is less.
sea level โ€” zero. Above is positive; below is negative.
Part 1 โ€” Below Sea Level (Integers)

Captain Mia's submarine dove to 20 feet below sea level. On a number line, sea level is 0, and below is negative.

20 feet below sea level is written as the integer โˆ’20.

Check Your Reading โ€” Q1

Why is the depth written as a negative integer?

Solve It โ€” #1

Write "15 feet below sea level" as an integer.

Part 2 โ€” Distance from the Surface (Absolute Value)

"How far are we from the surface?" asked the crew. Distance is always positive โ€” that is the absolute value. The sub was at โˆ’45 feet.

|โˆ’45| = 45 feet from the surface. (Absolute value ignores the sign; it is just the distance from 0.)

Check Your Reading โ€” Q2

What does absolute value measure?

Solve It โ€” #2

Find |โˆ’18| (the distance of โˆ’18 from zero).

Part 3 โ€” Which Is Deeper? (Comparing)

Two subs reported depths: โˆ’3 and โˆ’7. "Which is deeper?" On a number line, the number farther left is less, so โˆ’7 is less than โˆ’3 โ€” and deeper.

โˆ’7 < โˆ’3. The more negative number is lower (deeper).

Solve It โ€” #3

Order these from least to greatest and type the least: โˆ’5, 2, โˆ’1.

Part 4 โ€” Opposites

The sub at โˆ’8 feet rose to its opposite position: +8 feet (above the surface, like a periscope tower). Opposites are the same distance from 0 but on different sides.

The opposite of โˆ’8 is 8. The opposite of 8 is โˆ’8.

Solve It โ€” #4

What is the opposite of 6?

After You Read โ€” Write About It

Explain the Math in the Story

Level 1 โ€” Beginner (finish each sentence):
  • A depth below sea level is written as a ______ number.
  • Absolute value tells me the ______ from zero.
  • The opposite of โˆ’8 is ______.
Level 2 โ€” Intermediate (use these to start):
  • Integers helped Captain Mia because ______.
  • โˆ’7 is less than โˆ’3 because ______.
  • I see negative numbers in real life when ______.
How You Are Scored

Rubric

Category4 โ€” Strong3 โ€” Proficient2 โ€” Developing
Reading comprehensionBoth reading questions correct with details1 correctAttempts an answer
Math (Solve It)All 4 answers correct (integer, absolute value, compare, opposite)3 correct2 correct
WritingExplains integers using vocabulary (negative, absolute value, opposite)Uses some vocabularyBegins with a starter
๐Ÿ”‘ Teacher Answer Key (click to expand)
  1. Q1 โ€” Below sea level is below zero, so it is negative.
  2. Solve It #1 โ€” โˆ’15.
  3. Q2 โ€” The distance from zero, always positive.
  4. Solve It #2 โ€” 18 (|โˆ’18|).
  5. Solve It #3 โ€” โˆ’5 (least of โˆ’5, 2, โˆ’1).
  6. Solve It #4 โ€” โˆ’6 (opposite of 6).