options: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

Understand ordering and absolute value of rational numbers.

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
problem_activity: Problem 1
Fill in each blank using a
$${<}$$
or
$${>}$$
inequality symbol
a.
$$5$$
_______
$$8$$
b.
$${11.3}$$
_______
$${11.13}$$
c.
$${\frac{2}{3}}$$
_______
$${\frac{3}{4}}$$
d.
$${-0.6}$$
_______
$${0.3}$$
e.
$$\frac{11}{8}$$
_______
$$-\frac{11}{8}$$
Problem 2
Here are the low temperatures (in Celsius) for one week in Juneau, Alaska:
| **           Monday          ** | **           Tuesday          ** | **           Wednesday          ** | **           Thursday          ** | **           Friday          ** | **           Saturday          ** | **           Sunday          ** |
|---------------------------------|----------------------------------|------------------------------------|-----------------------------------|---------------------------------|-----------------------------------|---------------------------------|
|              $$5$$              |              $$-1$$              |               $$-6$$               |              $$-2$$               |              $$3$$              |               $$7$$               |              $$0$$              |
a.   Arrange the temperatures in order from coldest to warmest temperature.
b.   On a winter day, the low temperature in Anchorage was
$$23$$
degrees below
$$0$$
°C, and the low temperature in Minneapolis was
$$14$$
degrees below
$$0$$
°C. Sophia wrote: “Minneapolis was colder because
$$-14 < -23$$
.” Is Sophia's statement correct? Explain your answer.
c.   The lowest temperature ever recorded on Earth was
$$-89$$
°C in Antarctica. The average temperature on Mars is about
$$-55$$
°C. Which is warmer, the coldest temperature on Earth or the average temperature on Mars? Write an inequality to support your answer.
Problem 3
The elevation of New Orleans, Louisiana, is
$$7$$
feet below sea level. The elevation of Coachella, California, is
$$-72$$
feet. Write an inequality to compare the elevations of the two cities.


correct_option_index: 2