Calculating Distance and Elevation Changes

Mr. Wooley teaches LC Middle School students about calculating the distance between two rational numbers using absolute value. The lesson covers the concept of distance as always positive, using number lines and absolute value brackets to ensure positive results. Various examples and word problems illustrate the application of these concepts, including changes in elevation and temperature. Students are encouraged to practice these calculations through examples and homework assignments.

What is the distance between -4 and 5 on a number line?

• 9 units

• 1 unit

• 5 units

• 4 units

How does absolute value affect the calculation of distance?

• It doubles the result.

• It has no effect.

• It makes the result negative.

• It ensures the result is positive.

If a hiker starts at 200 feet below sea level and hikes to 580 feet above sea level, what is the total elevation change?

• 780 feet

• 380 feet

• 580 feet

• 200 feet

What is the distance between -7 and -4?

• 7 units

• 3 units

• 11 units

• 4 units

If the temperature rises from -18 degrees to 15 degrees, what is the total change in temperature?

• 15 degrees

• 33 degrees

• 18 degrees

• 33 degrees

What is the minimum possible distance between two runners if one is 15 feet beyond the finish line and the other is 14 feet before it?

• 14 feet

• 15 feet

• 29 feet

• 1 foot

How do you calculate the change in elevation from 140 feet above sea level to 40 feet below sea level?

• Add 140 and 40

• Subtract 40 from 140

• Subtract 140 from 40

• Add 40 to 140

What is the absolute value of -31?

• 31

• -31

• 0

• 62

If you add the opposite of -19 and -12, what is the result?

• 31

• -31

• 7

• 19

What is the absolute value of 53?

• 106

• 53

• -53

• 0