Rational Number Systems

Rational Numbers

Rational Number

Open Ended

What is an integer?

Pair Share

How do you compare positive and negative numbers?

Open Ended

How do positive and negative numbers help us understand temperature? What do they represent?

Pair Share

In terms of money, how can positive and negative numbers be used to describe your financial situation? Can you give examples?

Poll

Which integer best represent the word situation: a submarine is at a depth of 200 meters below sea level.

• -200

• 200

Poll

Which integer best represent the word situation: Gabby withdrew $70 from her savings account.

• -70

• 70

Poll

Which integer best represent the word situation: the temperature rose 10 degrees during the day

• 10

• -10

Open Ended

Write a word situation for the integer -10

Pair Share

What comes to mind when you hear the word "inequality"?

Open Ended

The hottest temperature ever recorded in Arizona was 128 $$\degree F$$  . The hottest temperature ever recorded in Texas was 120 $$\degree F$$  . Write an inequality comparing these temperatures.

Open Ended

A weather forecaster predicts the high temperature in Anchorage, Alaska, will be -5 $$\degree F$$ . The predicted high in Fargo, North Dakota, is -10 $$\degree F$$  . Write an inequality comparing these temperatures.

Poll

On a number line, $$\left|-5\right|$$ and 5 are the same point.

• True

• False

Poll

The distance from -4 to 0 is the same distance as 4 to 0 on a number line.

• True

• False

Poll

The distance from 10 to 0 on a number line is -10 units.

• True

• False

Open Ended

On a number line, how come -17 and 17 are not the same point?

Open Ended

Is 0.825 and $$\left|-0.825\right|$$ the same points? Why or why not?

Open Ended

Is the distance from -3.45 to 0 on a number line $$\left|-3.45\right|$$ units? Why or why not?

Pair Share

Pair Share

Pair Share

Multiple Select

Select all values that could be present on the number line.

• $$\frac{2}{10}$$

• 0

• $$\frac{6}{10}$$

• $$-\frac{6}{10}$$

• -1

Multiple Select

Select all the values that could be present on the number line.

• $$\frac{8}{12}$$

• $$\frac{6}{12}$$

• 0

• $$-\frac{5}{12}$$

• $$-\frac{7}{12}$$

Open Ended

Mr. Lee marked a number line with X to the left of 0. What does this mean? Use numbers to explain your reasoning.

Pair Share

What do you notice about the the coordinates (3, 4) and (-3, 4)? How are they different?

Pair Share

In which quadrant will the point (-4, 5) be located? Why?

Open Ended

How do we find the distance of 2 points if presented with a coordinate plane along with the 2 points?

Open Ended

How do you know if a point is in Quadrant 2? What are the signs of its coordinates?

Pair Share

Explain the process of finding the distance between (-5, 3) and (6,3) without plotting on the coordinate plane.

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Multiple Choice

The point that corresponds to (a,b) is shown in the coordinate plane. Which coordinate plane below shows (-a,-b)?

Multiple Choice

The point that corresponds to (-a,-b) is shown in the coordinate plane. Which coordinate plane shows the correct position of (a, b)?

Multiple Choice

The point that corresponds to (x, y) is shown in the coordinate plane. Which coordinate plane shows the correct position of (x, -y)?

Pair Share

True or false: The number -15 is located to the left of -20 on a number line.

Pair Share

Pair Share

Open Ended

Explain why this is false: $$-\frac{1}{9}\$$ and $$-\frac{2}{3}$$ are to the right of 0.

Poll

The number -10 is located to the left of $$\frac{3}{4}$$ on the number line.

• True

• False

Multiple Choice

Which number line shows the correct positions of all the values shown?

$$\frac{1}{4}$$ , -2, $$3\ \frac{1}{2}$$ , -4, $$-1\ \frac{1}{4}$$