Rational Numbers and Elevation Problems

In this lesson, Kayla Anderson reviews adding and subtracting rational numbers, focusing on equivalent expressions and real-world problems. Students learn to solve problems involving game scores, lanterns, AUVs, planes, and hot-air balloons, using strategies like rearranging terms and adding opposites. The lesson concludes with practice problems for further learning.

What is the main focus of this lesson?

• Geometry

• Algebra

• Rational Numbers

• Statistics

Which of the following is NOT a rational number?

• -3

• √2

• 0.75

• 1/2

What property allows you to change the order of numbers in addition?

• Distributive Property

• Identity Property

• Commutative Property

• Associative Property

If you have the expression 10.5 - (-3), what is an equivalent expression?

• 3 + 10.5

• -10.5 + 300

• -3 - 10.5

• 10.5 + 3

In the lantern problem, what does a negative elevation indicate?

• None of the above

• At sea level

• Below sea level

• Above sea level

What is the final elevation of the lantern in the problem discussed?

• 5 meters below sea level

• 0 meters

• 11.8 meters below sea level

• 11.8 meters above sea level

What does the term 'gain' indicate in a problem involving rational numbers?

• Negative number

• Positive number

• Zero

• Fraction

In the AUV problem, what is the final elevation after all movements?

• 8.25 feet

• 30.8 feet

• -8.25 feet

• -30.8 feet

What is the altitude of the valley where the balloon landed?

• 122.5 feet below sea level

• 328.15 feet above sea level

• 122.5 feet above sea level

• 328.15 feet below sea level

What strategy can help solve problems more efficiently?

• Ignoring negative signs

• Rearranging terms

• Using only positive numbers

• Guessing the answer