1. I will use a number line to interpret absolute values of positive and negative numbers. Our objective is ______. 6.NS.7c– Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. To explain what something means.

2. Prior Knowledge You already know the opposite is a position on the other side of something. On a number line, the opposite of a number is the same distance from zero, but on the other side of the zero. Zero is it’s own opposite because it is neither negative nor positive. Example: ___ is the opposite of ____ because ______. I will use a number line to interpret absolute values of positive and negative numbers.

3. Concept The absolute value of a rational number is its distance from zero on the number line. – Absolute means definite – A value means what something is worth I will use a number line to interpret absolute values of positive and negative numbers. Any integer or fraction The absolute value of a rational number is ________________. 12 3 4 The absolute value of 4 is 4 because it is four units away from zero on the number line. 12 3 4 The absolute value of -4 is 4 because it is four units away from zero on the number line.

4. Concept I will use a number line to interpret absolute values of positive and negative numbers. Explain why I3I is 3. The absolute value of 3 is 3 because ____________________. The absolute value of a rational number is its distance from zero on the number line. The mathematical symbol for absolute value is two vertical lines on both sides of the rational number. When you see I3I on a math assignment, you are being asked to identify the absolute value of the number 3.

5. Concept I will use a number line to interpret absolute values of positive and negative numbers. size 1 2 Since the magnitude of Caroline’s debt is $2, the absolute value of -$2 is $2. In real-world situations, the absolute value is the magnitude of a positive or negative quantity. The absolute value of a rational number is its distance from zero on the number line. The absolute value is the magnitude of a positive or negative quantity Caroline owes her sister $2, so her balance can be expressed as -$2. The magnitude of her debt to her sister is $2. This means the absolute value of -$2 is $2.

6. Concept Let’s watch a video on using the number line to interpret the absolute value of positive and negative quantities in real-word situations! http://learnzillion.com/lessons/1143-interpret- absolute-value-in-realworld-situations I will use a number line to interpret absolute values of positive and negative numbers.

7. Concept Example: Think of the distance it takes to walk from our classroom doorstep to the cafeteria. Let’s say the distance is 100 yards. If we were to start from our classroom doorstep and walk 100 yards in the opposite direction of the cafeteria, we would still be walking a positive 100 yards. In this case, our classroom doorstep represents 0 on the number line. I will use a number line to interpret absolute values of positive and negative numbers. The absolute value of a rational number is its distance from zero on the number line. The absolute value is the magnitude of a positive or negative quantity. -200 -175 -150 -125 -100 -75 -50 -25 0 25 50 75 100 125 150 175 Distance of 100 units This is an example of interpreting absolute value (magnitude) on a number line because _____.

8. Concept Example: Jesse snorkeled in the ocean at an elevation of -5 feet. The magnitude, or absolute value, that he snorkeled was 5 feet. Sea level is represented as 0 on the number line. This is an example of interpreting absolute value (magnitude) on a number line because ________________. I will use a number line to interpret absolute values of positive and negative numbers. The absolute value of a rational number is its distance from zero on the number line. The absolute value is the magnitude of a positive or negative quantity.

9. Concept Non-Example: Stacy checked her bank account balance and it was -$4. She told her mom that now she owes the bank -$4. I will use a number line to interpret absolute values of positive and negative numbers. The absolute value of a rational number is its distance from zero on the number line. The absolute value is the magnitude of a positive or negative quantity. This is not an example of interpreting absolute value (magnitude) on a number line because______.

10. Concept Non-Example: Carrie walked to her grandma’s house which is 3 feet lower in elevation than Carrie’s house. Therefore, Carrie walked negative 3 feet to her grandma’s house. I will use a number line to interpret absolute values of positive and negative numbers. The absolute value of a rational number is its distance from zero on the number line. The absolute value is the magnitude of a positive or negative quantity. This is not an example of interpreting absolute value (magnitude) on a number line because______.

11. Relevance 1.It is relevant to use a number line to interpret absolute values of positive and negative numbers because in the future you will need to understand that if you have a negative balance, you owe a positive amount of money. 2.It is also relevant to use a number line to interpret absolute values of positive and negative numbers because if you travel to a negative elevation, you will understand how far below sea level you actually traveled. 3.Student choice! ____ is most relevant to me because _____. I will use a number line to interpret absolute values of positive and negative numbers.

12. Skill – I Do 1.Read the situation, then identify and plot the positive or negative quantity on the number line. 2.Identify the absolute value (magnitude) of the quantity. 3.Justify your reasoning. I will use a number line to interpret absolute values of positive and negative numbers. I55I is _____. For this real-world situation, I can interpret this to mean that _________________. After Katrina deposited money into her bank account, her balance was $55. What was the magnitude (absolute value) of her balance?

13. Skill – I Do I will use a number line to interpret absolute values of positive and negative numbers. I__I is _____. For this real-world situation, I can interpret this to mean that _________________. After gaining 15 yards on a play, Greg ran another 5 yards to score a touchdown. What is the magnitude (absolute value) of the total distance ran? 1.Read the situation, then identify and plot the positive or negative quantity on the number line. 2.Identify the absolute value (magnitude) of the quantity. 3.Justify your reasoning.

14. Skill – We Do I will use a number line to interpret absolute values of positive and negative numbers. I-10I is _____. For this real-world situation, I can interpret this to mean that _________________. Hilary and her husband just purchased a home that has an elevation of -10 feet. What is the absolute value (magnitude) of her home in relation to sea level? 1.Read the situation, then identify and plot the positive or negative quantity on the number line. 2.Identify the absolute value (magnitude) of the quantity. 3.Justify your reasoning.

15. Skill – We Do I will use a number line to interpret absolute values of positive and negative numbers. I__I is _____. For this real-world situation, I can interpret this to mean that _________________. On Friday afternoon in Alaska it was -2 degrees. That night the temperature dropped 10 more degrees. What is the magnitude (absolute value) of the final temperature? 1.Read the situation, then identify and plot the positive or negative quantity on the number line. 2.Identify the absolute value (magnitude) of the quantity. 3.Justify your reasoning.

16. Skill – We Do I will use a number line to interpret absolute values of positive and negative numbers. I__I is _____. For this real-world situation, I can interpret this to mean that _________________. Mr. Pole is leading a submarine expedition to photograph the wreckage of the Titanic. When the submarine reaches the wreckage, Mr. Pole's elevation dial reads "-800 meters.” What is the magnitude (absolute value) of -800 meters? 1.Read the situation, then identify and plot the positive or negative quantity on the number line. 2.Identify the absolute value (magnitude) of the quantity. 3.Justify your reasoning.

17. Skill – We Do I will use a number line to interpret absolute values of positive and negative numbers. I__I is _____. For this real-world situation, I can interpret this to mean that _________________. Roger and Sal are roommates. Roger pays rent and utilities and emails Sal each month with a bill. In July, Sal gets an email from Roger with a list of charges for the month. At the bottom, it says, "Total: -$724.” What is the magnitude (absolute value) of the charge ? 1.Read the situation, then identify and plot the positive or negative quantity on the number line. 2.Identify the absolute value (magnitude) of the quantity. 3.Justify your reasoning.

18. Skill – You Do I will use a number line to interpret absolute values of positive and negative numbers. I__I is _____. For this real-world situation, I can interpret this to mean that _________________. Daniel and his best friend, Pete, both met at Taco Bell for lunch. After lunch, they both had to walk opposite directions away from Taco Bell to return home. They each walked exactly 3 blocks to reach their own homes. What is the magnitude (absolute value) of the distance that was traveled by each boy? 1.Read the situation, then identify and plot the positive or negative quantity on the number line. 2.Identify the absolute value (magnitude) of the quantity. 3.Justify your reasoning.

19. Closure I will use a number line to interpret absolute values of positive and negative numbers. WTL What did you learn about interpreting absolute values in real-world situations today? Today I learned ______________________________________. 1.Read the situation, then identify and plot the positive or negative quantity on the number line. 2.Identify the absolute value (magnitude) of the quantity. 3.Justify your reasoning. The absolute value of a rational number is its distance from zero on the number line. The absolute value is the magnitude of a positive or negative quantity.