the Number Line Comparing Rational Numbers Integers MCC6NS5 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values MCC6NS6a Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the numb ID: 515846 Download Presentation
6.3 . The student will. a) identify and represent integers;. b) order and compare integers; and. c) identify and describe absolute value of integers.. Above Sea Level. Sea Level. Below Sea Level. Image from http.
Adding Integers. The sum of two positive integers is always positive. 5 4=9.. The sum of two negative integers is always negative. -5 (-3)= -8.. The sum of a positive integer and a negative integer is sometimes positive, sometimes negative and sometimes zero..
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the Number Line. Comparing Rational Numbers. Integers. MCC6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.. MCC6.NS.6a: Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself , e.g., -(-3) = 3..
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Integers & Using
Presentation on theme: "Integers & Using"— Presentation transcript:
Integers & Using the Number Line
Comparing Rational NumbersSlide2
MCC6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.
MCC6.NS.6a: Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself , e.g., -(-3) = 3.
MCC6.NS.6c: Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
Integers are defined as the set of whole numbers and their opposites.
Positive numbers, also called the counting numbers, (1,2,3,4, . . .)
Their opposites, negative numbers, (-1,-2,-3,. . .)
And zero, which is neither positive nor negative.Slide4
Integers are represented by small slashes on the number lines, and do not include the fractions or decimals (those are in between the slashes). Slide5
Creating a Number Line
Numbers left of 0 are negative.
Numbers right of 0 are positive.Slide6
Reading the Number Line
toward the right.Numbers get
smaller toward the left.
A number line visually shows how numbers are organized from least to greatest.Slide7
Reading the Number Line
Numbers get larger going up.
A number line visually shows how numbers are organized from least to greatest.Slide8
Depositing money in a checking account
Elevation above sea levelAny temperature above zero
Yardage gained in footballNegative Integers
Withdrawing money from a checking account
An elevation below sea levelBelow zero temperaturesYardage lost in footballSlide9
Now you give examples into your mathberries
A sea gull is flying 25 feet above sea level and a shark is swimming 10 feet below sea level.
elevation does the surface of the water represent?
2) What is the elevation of the bird?3) What is the elevation of the fish?Slide11
is the temperature on this thermometer?
What is the temperature on this thermometer
Numbers describe their distance from zero.
3 is three spaces from 0 and
-3 is three spaces from 0.
3 and -3 are opposites.Slide13
Every number has an opposite.
For every positive number, there is a negative number.
*Zero is its own opposite!Slide14
Using the Number Line
use the number line. The
number on the right is the bigger number. The number on the left is the smaller number.
Ex: -3 is less than -1-3 < -1
(-3 is on the left of -1 on the number line
Common Misconception with Comparing Numbers
Some students think the
is the number closest to zero.
NOPE! Because that rule is not always true.
-5 -2 0 10-2 is closer to 0 than -5 and is greater than -5… but -2 is
closer to 0 than 10 but
is less than 10.Slide16
What is the opposite of the following integers?
-16 160 08 -8Using the number line, determine which integer is greater:2 -2 >-5 -7 >
0 3 <0 -8 >Slide17
Signs of Numbers - GPS
turn Left or turn Down on the number line.
means turn Right or Up on the number line.
The signs of a number tell which way to go on the number line, like a GPS gives directions!