5 Minute Check
Complete in your notebook.
Write an integer for the following.
1. 13˚ below zero
2. Spending $25
Make a number line and graph the following.
3. -8
Make a number line and graph the following.
4. {0, -3, 1, -1}
5 Minute Check
Complete on your homework.
Write an integer for the following.
1. 13˚ below zero
5 Minute Check
Complete on your homework.
Write an integer for the following.
1. 13˚ below zero
-13 ˚
5 Minute Check
Complete on your homework.
Write an integer for the following.
2. Spending $25
5 Minute Check
Complete on your homework.
Write an integer for the following.
2. Spending $25
-$25
5 Minute Check
Complete on your homework.
Make a number line and graph the following.
3. -8
5 Minute Check
Complete on your homework.
Make a number line and graph the following.
3. -8
5 Minute Check
Complete on your homework.
Make a number line and graph the following.
4. {0, -3, 1, -1}
5 Minute Check
Complete on your homework.
Make a number line and graph the following.
4. {0, -3, 1, -1}
Tuesday, Oct 21
Lesson 6.5.2/6.5.3
Absolute Value/
Compare and Order Integers
Absolute Value
Objective: To find the absolute value of an
integer and how to compare and order
integers.
Absolute Value
Opposites are numbers that are the same
distance from zero in opposite directions
on the number line.
Absolute Value
What is the opposite of 4?
Absolute Value
What is the opposite of 4?
-4 is the opposite of 4
Absolute Value
What is the opposite of -9?
Absolute Value
What is the opposite of -9?
9 is the opposite of -9
Absolute Value
The sum of a number and it’s opposite will
always be what?
Absolute Value
The sum of a number and it’s opposite will
always be what? 0
Absolute Value
The absolute value is the distance a number
is from zero on the number line. The
absolute value will always be a positive
number.
InI = the absolute value of n.
I5I = 5
Absolute Value
5 is 5 places from zero on the number line.
I-2I = 2
Absolute Value
-2 is 2 places from zero on the number line.
I-7I =
Absolute Value
I-7I = 7
Absolute Value
I8I =
Absolute Value
I8I = 8
Absolute Value
I5I + I-6I =
Absolute Value
I5I + I-6I =
5 + 6 = 11
Absolute Value
On the homework, rewrite the equation after
solving the absolute value before
performing any operation.
I-7I – I3I =
Absolute Value
Do this on your own.
I-7I – I3I =
7 - 3 = 4
Absolute Value
I-9I + I3I =
Absolute Value
Do this on your own.
I-9I + I3I =
9 + 3 = 12
Absolute Value
I-8I – I-2I =
Absolute Value
Do this on your own.
I-8I – I-2I =
8 - 2 = 6
Absolute Value
I9-2I =
Absolute Value
Do this on your own.
I9-2I =
I7I = 7
Absolute Value
When the operation is inside the absolute
value sign, perform the operation first, then
determine the absolute value.
I15-6I =
Absolute Value
Do this on your own.
I15-6I =
I9I = 9
Absolute Value
Absolute Value
At the football game last Friday in the first series, the
first plays was a +6 yards, the second play was a -4
yards and the 3rd play was a - 7 yards. Which play had
the greatest absolute value?
Absolute Value
At the football game last Friday in the first series, the
first plays was a +6 yards, the second play was a -4
yards and the 3rd play was a - 7 yards. Which play had
the greatest absolute value?
I6I = 6 yds
I-4I = 4 yds
I-7I = 7 yds
The third play had the greatest absolute value.
Absolute Value
A seagull is flying 17 ft about sea level. Dan
is diving 13 ft below sea level. What is the
distance between Dan and the seagull?
Absolute Value
A seagull is flying 17 ft about sea level. Dan
is diving 13 ft below sea level. What is the
distance between Dan and the seagull?
l +17l + l-13l
17 + 13 = 30 ft
Absolute Value
A game show contestant answered a
question and lost 10 points. He answered
another question and lost 5 points. How
many points has he lost?
Absolute Value
A game show contestant answered a
question and lost 10 points. He answered
another question and lost 5 points. How
many points has he lost?
l -10l + l - 5l
10 + 5 = 15
Absolute Value
Mei is evaluating an expression using
absolute value. Find her mistake and correct
it.
Absolute Value
Mei is evaluating an expression using
absolute value. Find her mistake and correct
it.
An absolute value
cannot be negative.
The correct answer is 14
Integers
The number line can be used to compare
and order integers. On a number line, the
number to the left is always less than the
number to the right.
Integers
An inequality is when two values are not
equal.
e.g. 6 > 3
Integers
Replace with < or > to make the statement
true.
-9 -4
Integers
Replace with < or > to make the statement
true.
-9 < -4
-9
-4
Integers
Replace with < or > to make the statement
true.
0 -5
Integers
Replace with < or > to make the statement
true.
0 > -5
-5
0
Integers
Replace with < or > to make the statement
true.
-6 5
-5
0
Integers
Replace with < or > to make the statement
true.
-6 < 5
-5
0
Since -6 is to the left of 5 it is less than 5.
Integers
Replace with < or > to make the statement
true.
-1 0
-5
0
Integers
Replace with < or > to make the statement
true.
-1 < 0
-5
0
Since -1 is to the left of 0 it is less than 0.
Integers
Justin has a score of -4 on the Trueville Trivia game.
Desiree’s score is -5. Write an inequality to compare
the scores. Who has the higher score?
Integers
Justin has a score of -4 on the Trueville Trivia game.
Desiree’s score is -5. Write an inequality to compare
the scores. Who has the higher score?
-4 > -5
-4 is further to the right than -5, so Justin
has the higher score.
Integers
The temperature on Tuesday was 2˚F. The
temperature on Wednesday was -2˚F. Write and
inequality to compare the temperatures. Explain the
meaning of the inequality.
Integers
The temperature on Tuesday was 2˚F. The
temperature on Wednesday was -2˚F. Write and
inequality to compare the temperatures. Explain the
meaning of the inequality.
2 > -2
2 is further to the right than -2, so
Tuesday’s temperature was higher.
Integers
Order 4, 8, 0, -5 from least to greatest
Do this on your own. (use your number line)
Integers
Order {4, 8, 0, -5} from least to greatest
-5
0
4
8
Is least to greatest right to left or left to
right?
Integers
Order {4, 8, 0, -5} from least to greatest
-5
{-5,0,4,8}
0
4
8
Integers
Order {1, -3.5, 4, -1.5} from least to
greatest
Integers
Order {1, -3.5, 4, -1.5} from least to greatest
{-3.5, -1.5, 1. 4}
Compare and Order Integers
The table shows the lowest elevation for
several continents. Order the elevations from
least to greatest.
Do this on your own.
Compare and Order Integers
The table shows the lowest elevation for
several continents. Order the elevations from
least to greatest.
{-418, -156, -105, -86, -28, -12}
Compare and Order Integers
Marissa and her family are on a ski trip at Mt.
Washington. They return from the slopes at
6PM. By 9PM the temperature had fallen
18˚ to the day’s low temperature of -8˚F.
What was the temperature at 6PM?
Do this on your own.
Compare and Order Integers
Marissa and her family are on a ski trip at Mt.
Washington. They return from the slopes at
6PM. By 9PM the temperature had fallen
18˚ to the day’s low temperature of -8˚F.
What was the temperature at 6PM?
10°
9PM
18 ˚ increase
6PM
Compare and Order Integers
The table shows the amount of time it takes Henry to do
different activities before going to soccer practice. If he
needs to be at practice at 8:15AM, what time should he
wake up in the morning?
Do this on your own.
Compare and Order Integers
The table shows the amount of time it takes Henry to do
different activities before going to soccer practice. If he
needs to be at practice at 8:15AM, what time should he
wake up in the morning?
8:15AM Soccer practice
8:00AM Travel to Field
7:25AM Eat Breakfast
7:15AM Change into Uniform
6:55AM Check Email
Compare and Order Integers
The table shows the amount of time it takes Henry to do
different activities before going to soccer practice. If he needs
to be at practice at 8:15AM, what time should he wake up in
the morning?
Or you could have added the
times in the table,
15 + 35 + 10 + 20 = 80 minutes
Then figure out what time is 80
minutes before 8:15.
80 minutes is 1 hour and 2o minutes.
An hour before 8:15AM is 7:15. 20 minutes before that is
6:55AM
Absolute Value
Agenda Notes
Complete the Mid-Chapter Check on page 374.
When complete bring to the desk and show Mr.
Avery.
Agenda Notes
Homework Practice 6.5.2/6.5.3
Due Wednesday, Oct 22
Mid Chapter 6.5 Quiz –
Wednesday, Oct 22