Captain Mia dives below the sea. Integers, absolute value, and comparing numbers describe depth, height, and distance.
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 โ20.
Why is the depth written as a negative integer?
Write "15 feet below sea level" as an integer.
"How far are we from the surface?" asked the crew. Distance is always positive โ that is the absolute value. The sub was at โ45 feet.
|โ45| = 45 feet from the surface. (Absolute value ignores the sign; it is just the distance from 0.)
What does absolute value measure?
Find |โ18| (the distance of โ18 from zero).
Two subs reported depths: โ3 and โ7. "Which is deeper?" On a number line, the number farther left is less, so โ7 is less than โ3 โ and deeper.
โ7 < โ3. The more negative number is lower (deeper).
Order these from least to greatest and type the least: โ5, 2, โ1.
The sub at โ8 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 โ8 is 8. The opposite of 8 is โ8.
What is the opposite of 6?
| Category | 4 โ Strong | 3 โ Proficient | 2 โ Developing |
|---|---|---|---|
| Reading comprehension | Both reading questions correct with details | 1 correct | Attempts an answer |
| Math (Solve It) | All 4 answers correct (integer, absolute value, compare, opposite) | 3 correct | 2 correct |
| Writing | Explains integers using vocabulary (negative, absolute value, opposite) | Uses some vocabulary | Begins with a starter |