1.1.4 Absolute Value & Adding/Subtracting Integers Feb 4 Lesson

Warm Up

For the pair of numbers below, decide which number in each
pair is closer to zero. How do you know?

Draw

Warm Up:

For the pair of numbers , decide which number in each pair is closer to zero. Circle or highlight the number in each pair that is closer to 0. How do you know this?

WELCOME TO MRS. M’S CLASSROOM

Today’s Lesson:

1.1.4 Absolute Value & Adding and Subtracting Integers

Agenda:

• define and explain the concept of absolute value
• evaluate the absolute value of positive and negative integers
• compare and contrast the absolute values of different integers
• identify and apply integer operation rules for addition and subtraction
• use integer operations to represent real-world scenarios

Vocabulary: absolute value, equation, expression, integer,
negative number, positive number

The absolute value of a number is its distance from 0.

The symbol | | is used to show the absolute value or distance
a number is from 0.

Using a number line helps to visualize this relationship.

Answers should be POSITIVE!!!

ABSOLUTE VALUE

Examples:
| 6 | = 6
| -6 | = 6

Multiple Choice

You Try..

What is the absolute value of -25?

• 25

• 0

• -25

Multiple Choice

You Try..

Find |350|?

• 350

• 0

• -350

Absolute value includes more than movement left or right on a number line.
Recall that a number line can be vertical (up and down) or horizontal (left to
right).

Vertical (up and down) positions can also be used to describe distance.
Vertical distances are used in many ways. Here are some examples:

• An airplane is flying 1,000 feet above the ground.
• A dolphin is swimming 50 feet underwater.
• The top of a mountain is 3,000 feet above sea level.

The most common way vertical distances are described is called elevation.

ELEVATION & ABSOLUTE VALUE

Multiple Select

A city's elevation is 12 feet away from sea level.

What are the possible elevations for the city?

Select all that apply.

• |12| feet

• |-12| feet

• 12 feet

• -12 feet

You can compare two numbers shown inside the absolute value
symbol, | | , using similar steps as other number comparisons.

The symbols and words used to compare absolute values are:

• <, less than
• >, greater than
• =, equal

Numbers need to be in standard form before comparing.

You can describe comparisons between numbers using symbols
or words.

Example

15 < 40 OR 15 is less than 40

COMPARING ABSOLUTE

VALUES

• First, find the absolute values.
• Next, consider which number is farther away from zero.
• Then, use a comparison symbol or words to show the

relationship between the numbers.

COMPARING ABSOLUTE

VALUES

Labelling

Compare the following by using >, < or =

|-245| ___ |200|

Drag labels to their correct position on the image

=

<

>

Comparing absolute values is useful when describing if an object is closer to a certain
point.

Mount Moriah is in New Hampshire and has a summit, or top, at an elevation of 4,049 feet
above sea level. Mount West Bond is found in the same mountain range with a maximum
elevation of 4,540 feet above sea level.

Absolute values can be used to compare the distances and find which has a greater or
lesser elevation.

COMPARING ABSOLUTE

VALUES

Hotspot

Which mountain has a summit elevation that is closer to sea level (0 feet)?

•Mount West Bond at 4,540 feet above sea level or

•Davidson Seamount at 4,101 feet below sea level

Click on the hotspot to answer

Multiple Choice

Which of the following statements correctly explains the absolute value of -430?

Click on the + to enlarge the image to see the answer choices better

• A

• B

• C

• D

Let’s Take A Break...

Adding &

Subtracting Integers

is next

Draw

Color while you wait or take a 10 minute break

Positive Numbers: a number with a value greater than zero

Negative Numbers: a number with a value less than zero.

POSITIVE & NEGATIVE

NUMBERS

Expressions: are mathematical statements with
operations, symbols, and numbers but no equal
sign

Equation: two expressions with an equal sign
between them.

EXPRESSIONS VS EQUATIONS

Integers: positive and negative whole numbers

Example

1, -1, 2, -2, 3, -3, ...

INTEGERS

ADDING INTEGERS WITH

SAME SIGNS

ADDING INTEGERS WITH

SAME SIGNS

ADDING INTEGERS WITH

DIFFERENT SIGNS

ADDING INTEGERS WITH

DIFFERENT SIGNS

ADDING OPPOSITES

Labelling

Place the correct letter next to the correct statement.

Drag labels to their correct position on the image

b

a

c

•Press the number 5.
•Press the + button.
•Press the ( button.
•Press the (-) button.
•Press the 7 button.
•Press the ) button.
•Press the = button.

What is the answer?

USING YOUR CALCULATOR

You can enter the expression
5 + (-7) by following these steps:

Match

Find the value of each expression and match it with the correct value.

• -30 + 50

• -70 + (-10)

• -40 + 40

20

-80

0

• 20

• -80

• 0

SUBTRACTING INTEGERS

Draw

Subtraction equals adding the opposite

What are the answers in the last column?

Multiple Select

Which of the following equations are true?

• -30 - 50 = -20

• 40 - (-40) = 0

• -30 - 50 = -80

• 40 - (-40) = 80

Labelling

Place the number next to correct expression for that answer

Drag labels to their correct position on the image

3

2

4

1

Draw

Lucas is a scuba diver. Last Sunday, he began 1 feet above sea level and dropped 8 feet. Which of the following equations represent his final location?

Circle all that apply.

EXIT TICKET

True or False:

64 - (-18) =

82

Multiple Choice

True or False

64 - (-18) = 82

• True

• False

Fill in the Blank

Checking for understanding

What number reflects your understanding after today's lesson?

(If you do not understand because you were not paying attention you need to think about changing your habits)

Everyone must complete the
Knowledge Check!

Live Session?
Make sure to finish the Quizizz &
Submit 1.1.4 Daily Assignment Bundle
for today

Did not attend the live session? Make
sure to complete the following

First Assignment coming on Friday 2/7

WHAT NOW...

NEXT LESSON: 1.1.5 MULTIPLYING AND DIVIDING

INTEGERS & MANIPULATING FRACTIONS