Warm Up -10 What could this value represent in a real world context? Let’s say this was a temperature, how would the temperature need to change in order to get back to 0 degrees? With a partner, create a story problem using money that represents the expression (-200).

Lesson 1: Opposite Quantities Combine to Make Zero Objective I can describe real-world situations where opposite quantities combine to make zero.

What do you know?

Example 1 Counting up corresponds to _________ numbers. Counting down corresponds to ________ numbers. Where do you begin when locating a number on the number line? What do you call the distance between a number and 0 on a number line? What is the relationship between 7 and -7? positive negative 0 Absolute Value They are the same distance from zero, hence they have the same absolute value.

Review

The Integer Game!!!!

Example 2 – Using the Integer Game What is the final position on the number line? From this point what card or combination of cards would you need to get back to 0? How should arrows line up when counting on? If the card that I draw is a -7, which card would be best to discard? Think it….Share it!

Example 3 – The Additive Inverse How far is 7 from 0 and in which direction? What is the opposite of 7? How far is -7 from 0 and in which direction? Teacher questions D-G For all numbers there is a number –, such that + (−) =. The additive inverse of a real number is the opposite of that number on the real number line. For example, the opposite of − is. A number and its additive inverse have a sum of 0. The sum of any number and its opposite is equal to zero.

Playing the Integer Game!!!!

Describe a real-life situation which opposite quantities combine to make 0. Ex: I earned $9.50 babysitting my little sister. I later went to the movies with my friends and purchased a ticket for $9.50. Ex: the Cardinals gained 6 yards or first down, but then the quarterback was sacked for a 6 yard loss on second down. Exercise 1 – Output Page