Transcript I will be able to identify opposite numbers on the number

To explain what
something means.
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.
I will use a number line to interpret absolute values of positive and negative numbers.
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.
Concept
Any integer
or fraction
• 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
The absolute value of a rational number is ________________.
1
2
3
4
The absolute value of 4 is 4 because it is four units away from zero on the number line.
4
3
2
1
The absolute value of -4 is 4 because it is four units away from zero on the number line.
I will use a number line to interpret absolute values of positive and negative numbers.
Concept
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.
Explain why I3I is 3.
The absolute value of 3 is 3 because ____________________
I will use a number line to interpret absolute values of positive and negative numbers.
Concept
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
• In real-world situations, the absolute value is the
magnitude of a positive or negative quantity.
size
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.
2
1
Since the magnitude of Caroline’s debt is $2, the absolute value of -$2 is $2.
I will use a number line to interpret absolute values of positive and negative numbers.
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-interpretabsolute-value-in-realworld-situations
I will use a number line to interpret absolute values of positive and negative numbers.
Concept
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 an example of interpreting absolute value
(magnitude) on a number line because _____.
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.
-200 -175 -150 -125 -100 -75 -50 -25
Distance of 100 units
0
25 50 75 100 125 150 175
Distance of 100 units
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.
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
________________.
Concept
I will use a number line to interpret absolute values of positive and negative numbers.
Concept
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.
Non-Example:
Stacy checked her bank account balance and it was
-$4. She told her mom that now she owes the
bank -$4.
This is not 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.
Concept
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.
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.
This is not 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.
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.
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.
After Katrina deposited money into her bank account, her balance
was $55. What was the magnitude (absolute value) of her
balance?
I55I is _____. For this real-world situation, I can
interpret this to mean that _________________.
I will use a number line to interpret absolute values of positive and negative numbers.
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.
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?
I__I is _____. For this real-world situation, I can
interpret this to mean that _________________.
I will use a number line to interpret absolute values of positive and negative numbers.
Skill – We
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.
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?
I-10I is _____. For this real-world situation, I can
interpret this to mean that _________________.
I will use a number line to interpret absolute values of positive and negative numbers.
Skill – We
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.
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?
I__I is _____. For this real-world situation, I can
interpret this to mean that _________________.
I will use a number line to interpret absolute values of positive and negative numbers.
Skill – We
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.
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?
I__I is _____. For this real-world situation, I can
interpret this to mean that _________________.
I will use a number line to interpret absolute values of positive and negative numbers.
Skill – We
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.
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?
I__I is _____. For this real-world situation, I can
interpret this to mean that _________________.
I will use a number line to interpret absolute values of positive and negative numbers.
Skill – You
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.
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?
I__I is _____. For this real-world situation, I can
interpret this to mean that _________________.
I will use a number line to interpret absolute values of positive and negative numbers.
1.
2.
3.
Closure
Read the situation, then identify and plot the positive or negative quantity on the
number line.
Identify the absolute value (magnitude) of the quantity.
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.
WTL
What did you learn about interpreting absolute values in real-world
situations today?
Today I learned ______________________________________.