Understanding Absolute Values and Inverses

Mr. Wooley introduces students to integers, explaining positive and negative numbers, their placement on a number line, and the concept of absolute value. The lesson covers additive inverses and how opposite quantities combine to make zero. Students learn through the integer game, which involves drawing cards and calculating sums using a number line. Real-world examples, such as elevation and financial transactions, illustrate the concepts. The lesson concludes with exercises to reinforce understanding.

What is the position of negative numbers on a number line?

• To the left of zero

• To the right of zero

• Above zero

• Below zero

What is the opposite of a positive number?

• The same positive number

• A negative number

• Zero

• A larger positive number

What does the absolute value of a number represent?

• The number itself

• The distance from zero

• The opposite of the number

• The sum of the number and zero

What is the sum of any number and its opposite?

• The number itself

• Double the number

• Zero

• Half the number

Which of the following pairs of numbers are additive inverses?

• 7 and 0

• 5 and -5

• 3 and 3

• 2 and 4

In the integer game, if you draw a 5 and a -5, what is the sum?

• -10

• 0

• 10

• 5

How do you find the final position on a number line after drawing cards in the integer game?

• Multiply all numbers together

• Add all positive numbers and subtract all negative numbers

• Subtract all numbers from zero

• Divide the sum of numbers by the number of cards

Which of the following is an example of a positive integer in real-world terms?

• 5 degrees above zero

• A loss of 3 yards

• A withdrawal of $100

• 500 feet below sea level

If h and k are the same distance from zero, what equation represents their relationship?

• h - k = 0

• h + k = 0

• h / k = 0

• h * k = 0

In a football game, if a player gains 5 yards and then loses 7 yards, how many yards are needed to return to the starting point?

• 10 yards

• 2 yards

• 7 yards

• 5 yards