1. The Distance Between two Rational Numbers Ms. McKeown

2. Aim: How can we find the distance between two rational numbers? Do Now: Which number in the pair is farther away from zero. a) 4, -5b) 2, 5 c) -1, -3d) -12, 11

3. Aim: How can we find the distance between two rational numbers? Use the number line to answer each of the following questions? What is the distance between -3 and 5? What is the distance between 5 and -3?

4. Aim: How can we find the distance between two rational numbers? Formula for the Distance Between two Rational Numbers. If p and q are rational numbers on number line, then the distance between p and q is |p-q |. It does not matter which endpoint we call p or which endpoint we call q. Distance is always positive. Find the Distance between -3 and 2 Using a formula: |-3 – 2 | = |-3 + -2 | = |-5 | = 5 or |2 – ( - 3 ) | = | 2 + 3 | = | 5| = 5

5. Aim: How can we find the distance between two rational numbers? A hiker starts hiking at the beginning of a trail at a point which is 200 feet below sea level. He hikes to a location on the trail that is 580 feet above sea level and stops for lunch. 1.What is the vertical distance between 200 feet below sea level and 580 feet above sea level? 2. How should we interpret 780 feet in the context of this problem?

6. Aim: How can we find the distance between two rational numbers? Use the distance formula to find each answer. Support you answer using a number line a.Find the distance between -7 and -4 b.Find the change in temperature if the temperature rises from -18 F to 15 F.

7. Aim: How can we find the distance between two rational numbers? Exit Ticket : Find the distance between -2 and -8 Homework: Two 7 th grade students, Emma and Anna, both solved the following math problem: If the temperature drops from 7 F to -17 F, by how much did the temperature decrease? The students came up with different answers. Emma said the answer is 24 F, and Anna said the answer is 10 F. Who is correct? Explain and support your written response with the use of a formula and a number line.